MATE CCSS I/Preguntas WIRIS area El area del triangulo de base {b} y altura {a} es:

]]> 1.0000000 0.3333333 0 0 0 abc 1 ({a}*{b})/2 0.01 1 1 2 0 0.1000000 3 0 private a calculated uniform 1 10 0 100 1 6 2 5 3 6 4 10 5 2 6 5 7 7 8 6 9 6 10 7 11 9 12 9 13 7 14 8 15 4 16 5 17 4 18 5 19 8 20 9 21 9 22 8 23 3 24 7 25 2 26 6 27 1 28 2 29 8 30 10 31 5 32 4 33 7 34 2 35 5 36 10 37 8 38 4 39 3 40 8 41 3 42 7 43 8 44 6 45 5 46 1 47 1 48 5 49 5 50 7 51 7 52 9 53 3 54 3 55 8 56 7 57 9 58 5 59 3 60 7 61 9 62 9 63 8 64 4 65 8 66 8 67 4 68 1 69 9 70 9 71 4 72 1 73 8 74 4 75 2 76 7 77 5 78 4 79 2 80 4 81 7 82 3 83 2 84 3 85 6 86 3 87 5 88 9 89 3 90 5 91 4 92 9 93 3 94 3 95 4 96 8 97 8 98 5 99 2 100 5 100 private b calculated uniform 1 10 0 100 1 6 2 10 3 8 4 8 5 4 6 7 7 7 8 10 9 10 10 5 11 6 12 9 13 7 14 2 15 7 16 4 17 1 18 10 19 4 20 8 21 2 22 5 23 5 24 3 25 8 26 10 27 8 28 7 29 3 30 3 31 9 32 4 33 7 34 4 35 10 36 5 37 4 38 3 39 2 40 2 41 8 42 2 43 6 44 3 45 6 46 6 47 9 48 9 49 8 50 4 51 1 52 3 53 10 54 9 55 4 56 9 57 2 58 8 59 3 60 3 61 7 62 8 63 8 64 2 65 9 66 5 67 6 68 8 69 4 70 9 71 10 72 10 73 8 74 8 75 6 76 7 77 5 78 2 79 4 80 5 81 1 82 4 83 5 84 7 85 2 86 3 87 4 88 3 89 3 90 4 91 7 92 2 93 5 94 9 95 8 96 7 97 2 98 6 99 4 100 4 100 De enunciat a funció 2 Considereu la funció que a cada nombre li assigna #a vegades el nombre menys #b.

#graf
Escriu la seva expressió analítica: f(x)={#1}
 
Completa la taula de valors següent:
 

x

y

#x_1

{#2}

#x_2

{#3}

{#4}

#y_3

{#5}

#y_4
]]> 5.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>a</mi><mo>*</mo><mi>x</mi><mo>-</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anchura_ventana</mi><mo>(</mo><mn>260</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>altura_ventana</mi><mo>(</mo><mn>260</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>graf</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mo>-</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>x</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>y</mi><mo>)</mo><mo>,</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>inv_f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><msub><mi>R</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fx</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_2</mi><mo>=</mo><mi>x_1</mi><mo>+</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y_3</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y_4</mi><mo>=</mo><mi>y_3</mi><mo>+</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y_1</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x_1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y_2</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x_2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_3</mi><mo>=</mo><mi>inv_f</mi><mo>(</mo><mi>y_3</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_4</mi><mo>=</mo><mi>inv_f</mi><mo>(</mo><mi>y_4</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> FROGA «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»l«/mi»«mi»e«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»=«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 x=1]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 1 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»L«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»r«/mi»«mi»i«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mn»2«/mn»«mo»,«/mo»«mover»«mn»387«/mn»«mo»§#65077;«/mo»«/mover»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true true abc 265/111 2385/99 2365/990 Pregunta 1 Calcula la media, moda y mediana del siguiente conjunto de datos #datos.

En lugar de la coma decimal, utilizar el punto.

Media ={#1}
Moda ={#2}
Mediana ={#3}
]]> 3.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>2</mn><mo>→</mo><mn>6</mn><mo>,</mo><mn>3</mn><mo>→</mo><mn>8</mn><mo>,</mo><mn>4</mn><mo>→</mo><mn>6</mn><mo>,</mo><mn>5</mn><mo>→</mo><mn>8</mn><mo>,</mo><mn>6</mn><mo>→</mo><mn>4</mn><mo>,</mo><mn>7</mn><mo>→</mo><mn>5</mn><mo>,</mo><mn>8</mn><mo>→</mo><mn>3</mn><mo>]</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>med</mi><mo>:</mo><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medi</mi><mo>:</mo><mo>=</mo><mi>mediana</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mo</mi><mo>=</mo><mi>moda</mi><mfenced><mi>datos</mi></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.575</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>medi</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>mo</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>3.</mn><mo>,</mo><mn>5.</mn></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 2 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»d«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mo»+«/mo»«mn»2«/mn»«mo»=«/mo»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 0 5/2 Pregunta 3 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»E«/mi»«mi»m«/mi»«mi»p«/mi»«mi»a«/mi»«mi»r«/mi»«mi»e«/mi»«mi»j«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»a«/mi»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»c«/mi»«mi»i«/mi»«mi»m«/mi»«mi»a«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»u«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»r«/mi»«mi»i«/mi»«mi»a«/mi»«mo»:«/mo»«/math»]]> «math xmlns="http://www.w3.org/1998/Math/MathML"»«mn»0«/mn»«mo»,«/mo»«mover»«mn»12«/mn»«mo»§#65077;«/mo»«/mover»«/math»]]> 1.0000000 1.0000000 0 true «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mo»,«/mo»«mover»«mn»4«/mn»«mo»§#65077;«/mo»«/mover»«/math» 22/9 0,3 3/10 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo»,«/mo»«mover»«mn»12«/mn»«mo»§#65077;«/mo»«/mover»«/math» 4/33 1/5 Simplificar polinomios Simplifica la siguiente fracción: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»#p«/mi»«mi»#q«/mi»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>conj</mi><mo>=</mo><mo>{</mo><mi>secuencia</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>.</mo><mo>.</mo><mn>1</mn><mo>)</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mi>conj</mi><mo>/</mo><mo>{</mo><mn>0</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mi>conj</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>m</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>n</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>n</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>*</mo><mi>x</mi><mo>-</mo><mi>m</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>m</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>b</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>+</mo><mi>m</mi><mo>(</mo><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>b</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>+</mo><mi>c</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mi>p</mi><mo>/</mo><mi>q</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="check_factorized"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Simplificar radicales Simplifica el siguiente radical:«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mrow»«mo»#«/mo»«mi»t«/mi»«mo»§#183;«/mo»«msup»«mi»a«/mi»«mrow»«mo»#«/mo»«mi»e«/mi»«mn»1«/mn»«/mrow»«/msup»«mo»§#183;«/mo»«msup»«mi»b«/mi»«mrow»«mo»#«/mo»«mi»e«/mi»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mn»3«/mn»«/mroot»«/math»

]]> 1.0000000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>5</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>5</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>5</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>5</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msup><mi>p</mi><mn>2</mn></msup><mo>·</mo><msup><mi>q</mi><mn>4</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mi>simplificar</mi><mfenced><mroot><mrow><msup><mi>p</mi><mn>2</mn></msup><mo>·</mo><msup><mi>q</mi><mn>4</mn></msup><mo>·</mo><msup><mi>a</mi><mi>e1</mi></msup><mo>·</mo><msup><mi>b</mi><mi>e2</mi></msup></mrow><mn>3</mn></mroot></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS I/Tema 1- Números reales/Galdetegiak egiteko 1.ariketa-1 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>7</mn><mo>-</mo><mn>2</mn><mo>*</mo><mo>(</mo><mo>-</mo><mn>4</mn><mo>)</mo><mo>+</mo><mn>3</mn><mo>-</mo><mn>5</mn><mo>*</mo><mo>(</mo><mo>-</mo><mn>2</mn><mo>+</mo><mn>7</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 1.ariketa-2 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>4</mn><mo>*</mo><msup><mn>2</mn><mn>2</mn></msup><mo>-</mo><mo>(</mo><mo>-</mo><mn>1</mn><msup><mo>)</mo><mn>3</mn></msup><mo>+</mo><mfenced close="]" open="["><mrow><mn>3</mn><mo>-</mo><mo>(</mo><mn>5</mn><mo>-</mo><msup><mn>3</mn><mn>2</mn></msup><mo>)</mo></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 1.ariketa-3 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mo>-</mo><mn>3</mn><msup><mo>)</mo><mn>2</mn></msup><mo>-</mo><msup><mn>3</mn><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mo>(</mo><mo>-</mo><mn>1</mn><msup><mo>)</mo><mn>3</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 1.ariketa-4 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>8</mn><mo>/</mo><mn>4</mn><mo>*</mo><mn>5</mn><mo>-</mo><mo>(</mo><mo>-</mo><mn>4</mn><mo>-</mo><mn>3</mn><msup><mo>)</mo><mn>2</mn></msup><mo>-</mo><mn>3</mn><mo>*</mo><mo>(</mo><mo>-</mo><mn>13</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 11.ariketa-1 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>simplificar</mi><mo>(</mo><msqrt><mrow><msup><mi>a</mi><mn>4</mn></msup><mo>*</mo><msup><mi>b</mi><mrow><mo>-</mo><mn>8</mn></mrow></msup></mrow></msqrt><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 11.ariketa-2 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>simplificar</mi><mo>(</mo><mroot><msup><mi>a</mi><mn>5</mn></msup><mn>8</mn></mroot><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 11.ariketa-3 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>simplificar</mi><mo>(</mo><mroot><msup><mi>a</mi><mn>13</mn></msup><mn>12</mn></mroot><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 11.ariketa-4 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>simplificar</mi><mo>(</mo><mroot><msup><mi>a</mi><mn>4</mn></msup><mn>3</mn></mroot><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>simplificar</mi><mo>(</mo><mroot><mn>324</mn><mn>6</mn></mroot><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>e1</mi><mo>*</mo><mi>e2</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 11.ariketa-5 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>2</mn><mo>*</mo><msup><mi>a</mi><mn>5</mn></msup><mo>*</mo><mroot><mrow><mn>16</mn><mo>*</mo><msup><mi>a</mi><mn>5</mn></msup></mrow><mn>6</mn></mroot></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 18-1.ariketa-1 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>*</mo><mroot><mi>x</mi><mn>3</mn></mroot></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 18-1.ariketa-2 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 3*a2*a3]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><msup><mi>a</mi><mn>2</mn></msup><mo>*</mo><mroot><mi>a</mi><mn>3</mn></mroot></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 18-1.ariketa-3 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 x3*x815]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>3</mn></msup><mo>*</mo><mroot><msup><mi>x</mi><mn>8</mn></msup><mn>15</mn></mroot></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 18-1.ariketa-4 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 a4*a]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>4</mn></msup><mo>*</mo><msqrt><mi>a</mi></msqrt></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 18-1.ariketa-5 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 120 <question><correctAnswers><correctAnswer>120</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 18-2.ariketa-1 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 a4]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>4</mn></msup></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 18-2.ariketa-2 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 30*33]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn><mo>*</mo><mroot><mn>3</mn><mn>3</mn></mroot></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 18-2.ariketa-3 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 a*b56]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mroot><mrow><mi>a</mi><mo>*</mo><msup><mi>b</mi><mn>5</mn></msup></mrow><mn>6</mn></mroot></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 18-2.ariketa-4 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 15a*2]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mn>5</mn><mi>a</mi></mrow></mfrac><mo>*</mo><msqrt><mn>2</mn></msqrt></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 18-2.ariketa-5 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 3*726]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><mroot><mn>72</mn><mn>6</mn></mroot></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-1.ariketa-1 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 4-19*a*3*a]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>4</mn><mo>-</mo><mn>19</mn><mo>*</mo><mi>a</mi></mrow></mfenced><mo>*</mo><msqrt><mn>3</mn><mo>*</mo><mi>a</mi></msqrt></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-1.ariketa-2 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfenced><mrow><mn>2</mn><mo>*</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><msqrt><mn>3</mn></msqrt></mrow></mfenced><mo>*</mo><mfenced><mrow><msqrt><mn>3</mn></msqrt><mo>-</mo><msqrt><mn>2</mn></msqrt></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-1.ariketa-3 Egin eragiketak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»1«/mn»«mo»+«/mo»«msqrt»«mn»2«/mn»«/msqrt»«/mrow»«/mfenced»«mfenced»«mrow»«msqrt»«mn»2«/mn»«/msqrt»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«msqrt»«mn»3«/mn»«/msqrt»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfenced><mrow><mn>1</mn><mo>+</mo><msqrt><mn>2</mn></msqrt></mrow></mfenced><mo>*</mo><mfenced><mrow><msqrt><mn>2</mn></msqrt><mo>-</mo><mn>1</mn></mrow></mfenced><mo>*</mo><msqrt><mn>3</mn></msqrt></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-1.ariketa-4 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 9*a*23+23*a*2*a3]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>*</mo><mi>a</mi><mo>*</mo><mroot><mn>2</mn><mn>3</mn></mroot><mo>+</mo><mn>23</mn><mo>*</mo><mi>a</mi><mo>*</mo><mroot><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow><mn>3</mn></mroot></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-1.ariketa-5 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msup><mfenced><mrow><msqrt><mn>5</mn></msqrt><mo>-</mo><msqrt><mn>7</mn></msqrt></mrow></mfenced><mn>2</mn></msup></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-1.ariketa-6 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 -2*a3-2*a2*a3]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>a</mi><mn>3</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>a</mi><mn>2</mn></msup></mrow></mfenced><mo>*</mo><mroot><mi>a</mi><mn>3</mn></mroot></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-1.ariketa-7 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msup><mfenced><mrow><mn>4</mn><mo>*</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><msqrt><mn>5</mn></msqrt></mrow></mfenced><mn>2</mn></msup></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-2.ariketa-1 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><msqrt><mn>3</mn></msqrt><mrow><mn>8</mn><mo>*</mo><mroot><mn>2</mn><mn>3</mn></mroot></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-2.ariketa-2 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 3283]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mroot><mn>32</mn><mn>8</mn></mroot><mn>3</mn></mfrac><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-2.ariketa-3 Egin eragiketak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»2«/mn»«msqrt»«mn»3«/mn»«/msqrt»«/mrow»«mrow»«msqrt»«mn»3«/mn»«/msqrt»«mo»+«/mo»«mn»6«/mn»«/mrow»«/mfrac»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mrow><mn>2</mn><mo>*</mo><msqrt><mn>3</mn></msqrt></mrow><mrow><msqrt><mn>3</mn></msqrt><mo>+</mo><mn>6</mn></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-2.ariketa-4 Egin eragiketak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»6«/mn»«mrow»«msqrt»«mn»5«/mn»«/msqrt»«mo»-«/mo»«msqrt»«mn»2«/mn»«/msqrt»«/mrow»«/mfrac»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mn>6</mn><mrow><msqrt><mn>5</mn></msqrt><mo>-</mo><msqrt><mn>2</mn></msqrt></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-2.ariketa-5 Egin eragiketak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfrac»«msqrt»«mn»5«/mn»«/msqrt»«mrow»«mn»2«/mn»«msqrt»«mn»3«/mn»«/msqrt»«mo»-«/mo»«msqrt»«mn»5«/mn»«/msqrt»«/mrow»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><msqrt><mn>5</mn></msqrt><mrow><mn>2</mn><msqrt><mn>3</mn></msqrt><mo>-</mo><msqrt><mn>5</mn></msqrt></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 19-2.ariketa-6 Egin eragiketak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfrac»«mrow»«mn»5«/mn»«msqrt»«mn»6«/mn»«/msqrt»«/mrow»«msqrt»«mn»3«/mn»«/msqrt»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">*</mo><msqrt><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">6</mn></msqrt></mrow><msqrt><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></msqrt></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-1.ariketa-1 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»5«/mn»«/msub»«mn»125«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></msub><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">125</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-1.ariketa-2 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«mn»243«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></msub><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">243</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-1.ariketa-3 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»6«/mn»«/msub»«mn»36«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">6</mn></msub><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">36</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-1.ariketa-4 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«mn»9«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></msub><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">9</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-1.ariketa-5 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»5«/mn»«/msub»«mn»625«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></msub><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">625</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-1.ariketa-6 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mn»64«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msub><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">64</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-1.ariketa-7 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»6«/mn»«/msub»«mn»216«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">6</mn></msub><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">216</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-1.ariketa-8 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mn»4«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msub><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">4</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-2.ariketa-1 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»log«/mi»«mn»1000«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1000</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-2.ariketa-2 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»ln«/mi»«mo»§#160;«/mo»«msup»«mi»e«/mi»«mn»5«/mn»«/msup»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">ln</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><msup><exponentiale style="font-family:SansSerif;font-size:14px;font-weight:bold"/><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-2.ariketa-3 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mfrac»«mn»1«/mn»«mn»16«/mn»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msub><mfrac><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">16</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-2.ariketa-4 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«mfrac»«mn»1«/mn»«mn»27«/mn»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></msub><mfrac><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">27</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-2.ariketa-5 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»log«/mi»«mn»10000«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">10000</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-2.ariketa-6 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»ln«/mi»«mo»§#160;«/mo»«msup»«mi»e«/mi»«mn»3«/mn»«/msup»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">ln</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><msup><exponentiale style="font-family:SansSerif;font-size:14px;font-weight:bold"/><mn>3</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-2.ariketa-7 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«mfrac»«mn»1«/mn»«mn»81«/mn»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></msub><mfrac><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn><mn>81</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 21-2.ariketa-8 Kalkulatu ondorengo logaritmoen balioak eta eman emaitza.
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msub><mfrac><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn><mn>2</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 22.ariketa-1 Kalkulatu ondorengo logaritmoen balioak jakinik:  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mi»e«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«/mstyle»«/math»
 
Puntua erabili balio hamartarra sartzerakoan, adib. 1.8
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»log«/mi»«mo»§#160;«/mo»«mn»20«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">.</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 22.ariketa-2 Kalkulatu ondorengo logaritmoen balioak jakinik:  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mi»e«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«/mstyle»«/math»
 
Puntua erabili balio hamartarra sartzerakoan, adib. 1.8
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»log«/mi»«mo»§#160;«/mo»«mn»25«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">.</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">4</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 22.ariketa-3 Kalkulatu ondorengo logaritmoen balioak jakinik:  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mi»e«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«/mstyle»«/math»
 
Puntua erabili balio hamartarra sartzerakoan, adib. 1.8
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»log«/mi»«mo»§#160;«/mo»«mn»36«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">.</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">6</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 22.ariketa-4 Kalkulatu ondorengo logaritmoen balioak jakinik:  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mi»e«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«/mstyle»«/math»
 
Puntua erabili balio hamartarra sartzerakoan, adib. 1.8
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»log«/mi»«mo»§#160;«/mo»«mn»72«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">.</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">9</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 22.ariketa-5 Kalkulatu ondorengo logaritmoen balioak jakinik:  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mi»e«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«/mstyle»«/math»
 
Puntua erabili balio hamartarra sartzerakoan, adib. 1.8
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»log«/mi»«mo»§#160;«/mo»«mn»9«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 22.ariketa-6 Kalkulatu ondorengo logaritmoen balioak jakinik:  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mi»e«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«/mstyle»«/math»
 
Puntua erabili balio hamartarra sartzerakoan, adib. 1.8
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»log«/mi»«mo»§#160;«/mo»«mn»75«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">.</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">9</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 22.ariketa-7 Kalkulatu ondorengo logaritmoen balioak jakinik:  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mi»e«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«/mstyle»«/math»
 
Puntua erabili balio hamartarra sartzerakoan, adib. 1.8
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»log«/mi»«mo»§#160;«/mo»«mn»48«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">.</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">7</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 22.ariketa-8 Kalkulatu ondorengo logaritmoen balioak jakinik:  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mi»e«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«/mstyle»«/math»
 
Puntua erabili balio hamartarra sartzerakoan, adib. 1.8
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»log«/mi»«mo»§#160;«/mo»«mn»4«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">.</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">6</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 23.ariketa-1 Kalkulatu x ondorengo espresioetan:
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mn»25«/mn»«mo»=«/mo»«mn»2«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mo>(</mo><msub><mi>log</mi><mi>x</mi></msub><mn>25</mn><mo>=</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>5</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 23.ariketa-2 Kalkulatu x ondorengo espresioetan:
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mfrac»«mn»1«/mn»«mn»64«/mn»«/mfrac»«mo»=«/mo»«mo»-«/mo»«mn»6«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>2</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 23.ariketa-3 Kalkulatu x ondorengo espresioetan:
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mo»§#160;«/mo»«mn»5«/mn»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e1</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">resolver</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">(</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></msub><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mfrac><mrow><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mfrac><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mn>1</mn><mn>25</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 23.ariketa-4 Kalkulatu x ondorengo espresioetan:
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mo»§#160;«/mo»«mn»216«/mn»«mo»=«/mo»«mn»3«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e1</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">resolver</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">(</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></msub><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">216</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>6</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 23.ariketa-5 Kalkulatu x ondorengo espresioetan:
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mo»§#160;«/mo»«mfrac»«mn»1«/mn»«mn»100«/mn»«/mfrac»«mo»=«/mo»«mo»-«/mo»«mn»2«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e1</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">resolver</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">(</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></msub><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mfrac style="font-family:SansSerif;font-size:14px;font-weight:bold"><mn>1</mn><mn>100</mn></mfrac><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>10</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 23.ariketa-6 Kalkulatu x ondorengo espresioetan:
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mo»§#160;«/mo»«mn»32«/mn»«mo»=«/mo»«mo»-«/mo»«mn»5«/mn»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e1</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">resolver</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">(</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></msub><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">32</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 23.ariketa-7 Kalkulatu x ondorengo espresioetan:
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mo»§#160;«/mo»«mfrac»«mn»1«/mn»«mn»16«/mn»«/mfrac»«mo»=«/mo»«mi»x«/mi»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e1</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">resolver</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">(</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msub><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mfrac style="font-family:SansSerif;font-size:14px;font-weight:bold"><mn>1</mn><mn>16</mn></mfrac><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>-</mo><mn>4</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 23.ariketa-8 Kalkulatu x ondorengo espresioetan:
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mo»§#160;«/mo»«mn»4«/mn»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">e1</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">resolver</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">(</mo><msub><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></msub><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">4</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mfrac style="font-family:SansSerif;font-size:14px;font-weight:bold"><mn>1</mn><mn>2</mn></mfrac><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>16</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.ariketa-1 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mo>-</mo><mn>4</mn><msup><mo>)</mo><mn>3</mn></msup><mo>*</mo><mo>(</mo><mo>-</mo><mn>4</mn><msup><mo>)</mo><mn>2</mn></msup><mo>*</mo><mo>(</mo><mo>-</mo><mn>4</mn><msup><mo>)</mo><mn>0</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.ariketa-2 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mo>-</mo><mn>3</mn><msup><mo>)</mo><mn>3</mn></msup><mo>/</mo><mo>(</mo><mo>-</mo><mn>3</mn><msup><mo>)</mo><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.ariketa-3 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mo>(</mo><mo>-</mo><mn>2</mn><msup><mo>)</mo><mn>3</mn></msup><msup><mo>)</mo><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.ariketa-4 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mo>(</mo><mo>-</mo><mn>3</mn><mo>)</mo><mo>*</mo><mo>(</mo><mo>-</mo><mn>2</mn><mo>)</mo><mo>*</mo><mo>(</mo><mo>-</mo><mn>1</mn><mo>)</mo><msup><mo>)</mo><mn>3</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.ariketa-5 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mrow><msup><mn>2</mn><mn>3</mn></msup><mo>*</mo><msup><mn>2</mn><mn>4</mn></msup></mrow><msup><mn>4</mn><mn>2</mn></msup></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.ariketa-6 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mrow><mo>(</mo><mo>-</mo><msup><mn>5</mn><mn>4</mn></msup><mo>)</mo><mo>*</mo><mo>(</mo><mo>-</mo><mn>5</mn><msup><mo>)</mo><mn>3</mn></msup></mrow><mrow><msup><mn>5</mn><mn>4</mn></msup><mo>*</mo><mo>(</mo><mo>-</mo><mn>5</mn><msup><mo>)</mo><mn>2</mn></msup></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.ariketa-7 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mfrac><mrow><mo>(</mo><mo>-</mo><msup><mn>3</mn><mn>4</mn></msup><mo>)</mo><mo>*</mo><mo>(</mo><mo>-</mo><mn>3</mn><msup><mo>)</mo><mn>3</mn></msup><mo>*</mo><mo>(</mo><mo>-</mo><mn>3</mn><mo>)</mo></mrow><msup><mn>9</mn><mn>3</mn></msup></mfrac><msup><mo>)</mo><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 6.ariketa-1 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>-</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>+</mo><mfrac><mn>3</mn><mn>5</mn></mfrac><mo>-</mo><mn>2</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 6.ariketa-2 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mn>1</mn><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>)</mo><mo>*</mo><mn>3</mn><mo>-</mo><mn>2</mn><mo>+</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 6.ariketa-3 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>2</mn><mo>+</mo><mfrac><mn>3</mn><mrow><mn>1</mn><mo>-</mo><mfrac><mn>1</mn><mn>5</mn></mfrac><mo>*</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 6.ariketa-4 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>*</mo><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>-</mo><mfrac><mn>2</mn><mn>5</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 6.ariketa-5 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mrow><mo>(</mo><mn>2</mn><mo>-</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>)</mo><mo>*</mo><mo>(</mo><mn>1</mn><mo>-</mo><mfrac><mn>2</mn><mn>7</mn></mfrac><mo>)</mo></mrow><mrow><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>+</mo><mfrac><mn>5</mn><mn>4</mn></mfrac></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.ariketa-1 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mo>(</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><msup><mo>)</mo><mn>2</mn></msup><msup><mo>)</mo><mrow><mo>-</mo><mn>3</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.ariketa-2 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mfrac><mn>3</mn><mn>5</mn></mfrac><msup><mo>)</mo><mn>3</mn></msup><mo>/</mo><mo>(</mo><mfrac><mn>3</mn><mn>5</mn></mfrac><msup><mo>)</mo><mn>5</mn></msup><mo>*</mo><mo>(</mo><mfrac><mn>3</mn><mn>5</mn></mfrac><msup><mo>)</mo><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.ariketa-3 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mn>2</mn><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><msup><mo>)</mo><mn>2</mn></msup><mo>*</mo><mo>(</mo><mfrac><mn>5</mn><mn>3</mn></mfrac><msup><mo>)</mo><mrow><mo>-</mo><mn>2</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.ariketa-4 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mo>(</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><msup><mo>)</mo><mrow><mo>-</mo><mn>4</mn></mrow></msup><mo>*</mo><mo>(</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><msup><mo>)</mo><mn>3</mn></msup><mo>/</mo><mo>(</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><msup><mo>)</mo><mn>6</mn></msup><msup><mo>)</mo><mrow><mo>-</mo><mn>3</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.ariketa-5 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mfrac><mrow><msup><mfenced><mfrac><mn>1</mn><mn>2</mn></mfrac></mfenced><mn>5</mn></msup><mo>*</mo><mo>(</mo><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mn>2</mn></mfrac><msup><mo>)</mo><mn>4</mn></msup></mrow><mrow><msup><mfenced><mfrac><mn>1</mn><mn>2</mn></mfrac></mfenced><mn>3</mn></msup><mo>*</mo><msup><mfenced><mrow><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></mfenced><mn>2</mn></msup></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.ariketa-6 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><msup><mfenced><mfrac><mrow><msup><mfenced><mfrac><mn>5</mn><mn>6</mn></mfrac></mfenced><msup><mn>2</mn><mn>3</mn></msup></msup><mo>*</mo><msup><mfenced><mfrac><mn>5</mn><mn>6</mn></mfrac></mfenced><mrow><mo>-</mo><mn>5</mn></mrow></msup></mrow><mrow><msup><mfenced><mfrac><mn>5</mn><mn>6</mn></mfrac></mfenced><mrow><mo>-</mo><mn>3</mn></mrow></msup><mo>*</mo><msup><mfenced><mfrac><mn>5</mn><mn>6</mn></mfrac></mfenced><mn>4</mn></msup></mrow></mfrac></mfenced><mrow><mo>-</mo><msup><mn>2</mn><mn>3</mn></msup></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 9.ariketa-1 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mfrac><mn>11</mn><mn>9</mn></mfrac><mo>)</mo><mo>+</mo><mo>(</mo><mfrac><mn>16</mn><mn>5</mn></mfrac><mo>)</mo><mo>-</mo><mo>(</mo><mfrac><mn>20</mn><mn>9</mn></mfrac><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 9.ariketa-2 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mfrac><mn>49</mn><mn>9</mn></mfrac><mo>)</mo><mo>*</mo><mo>(</mo><mfrac><mn>7</mn><mn>33</mn></mfrac><mo>+</mo><mn>2</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 9.ariketa-3 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mfrac><mn>4</mn><mn>90</mn></mfrac><mo>)</mo><mo>/</mo><mo>(</mo><mfrac><mn>40</mn><mn>99</mn></mfrac><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 9.ariketa-4 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mfrac><mn>7</mn><mn>2</mn></mfrac><mo>+</mo><mfrac><mn>227</mn><mn>100</mn></mfrac><mo>-</mo><mfrac><mn>121</mn><mn>90</mn></mfrac><mo>)</mo><mo>*</mo><mfrac><mn>3</mn><mn>5</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 9.ariketa-5 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><mfrac><mn>97</mn><mn>30</mn></mfrac><mo>-</mo><mfrac><mn>320</mn><mn>99</mn></mfrac><msup><mo>)</mo><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 9.ariketa-6 Egin eragiketak eta eman emaitza.
]]> 1.0000000 0.3333333 0 0 #e]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mo>(</mo><msqrt><mrow><mfrac><mn>11</mn><mn>10</mn></mfrac><mo>*</mo><mfrac><mn>53</mn><mn>99</mn></mfrac><mo>*</mo><mfrac><mn>5</mn><mn>90</mn></mfrac><mo>)</mo></mrow></msqrt></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Tarteak-1-1 Expresa mediante intervalo el siguiente conjunto de datos:


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 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Tarteak-1-2 Expresa mediante intervalo el siguiente conjunto de datos:


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 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_close_open</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo><mo>∪</mo><mi>interval_close_open</mi><mo>(</mo><mn>4</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Tarteak-1-3 Expresa mediante intervalo el siguiente conjunto de datos:


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 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_open_close</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>∪</mo><mo>{</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>}</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Tarteak-1-4 Expresa mediante intervalo el siguiente conjunto de datos:


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 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_open_close</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Tarteak-1-5 Expresa mediante intervalo el siguiente conjunto de datos:


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iVBORw0KGgoAAAANSUhEUgAAAzQAAAB2CAIAAACRaEHaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYUCAsykes7ZAAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nLy9ScxsyZImZOZ+xoh/vv+997838+bLV5VC1KMkhl6AWkCLRRcI0SAB6hUbYMkCCcQKCSTY9AIBgjULEI1QI1GwoGmBYNE01V1qpBZdrRq66r3Kly/v+M9/RJzR3Y2FnePhZ4jhj+PC9OfNiBPudsznz83MzZGIoKWyLI0xSZIgIkwgY0xd12EYCiGm8CGiuq6DIJjIh1kZY5RSURRNLB0AKKXyPD8+Pp7IxxijtS6KYjabYUv2J/7gPhwSERERpymKYrVavXjx4mBhAEAIQURaayHE9GoHgM+fP7948UJKuakU9r07xXv//v3XX389sfm4J9R1zT1hOrcPHz5cVt0FGAAAAQBJREFUXV1JKafwgXbUxHE8kQ/Thw8fXr9+7UWqm5ubV69eeZGqqioAiKJoIh8iKstSCCGlHC0jjwvo9iv7EAbDSimVZdnR0ZGbfs+e2XtvXdd1XadpOppxE89R2aqqWiwWFxcX28fOsDijaa6vry8vL4UQu1Ja2Yz9yQpsjCEipVQYhk7W0SrqyzYsY13Xd3d3L1++dLPxFMTTmjEGYKPAAABAAMQMv3y+ubx8gf26XZcCEd31zophq4ipqmoyFCdJj0+bFxFFK2pnBm7StU3M07tSKopim2WUEAGx35quUEKA1rosyyRJAMCWglvTGMNZqCV++7DgLCoAPD4+HR+fkKEgkAf+x6UAAAEASURBVIY0syqKIo7juq45OyIKIZRScRxXVcWvqKoqTdO6UmEYrlZZEEoA0lofHR0VRRGGodYNN611GIZVVQVBwA+DICjLMooirTURSSmJKAgCTkNEi8ViNpsxCFFKSSmVUpyREUVd14jIz+1XrbUVNYoiYwAIqrqSUnCbNL0IkIgADS9tSikyyKICkhBo6y0IAqUUi621lkLmeZEkKQCgaKqRJefhwB+4yDwpsdhc1cyTW6oqlTE6CAIuEaIgIIDmjVx7nJiIAreL2JqdSLa/TmclpfSyYjHgAKd3TiHuHwdk7M0CLBWDs15KO0PtlMTWdhiGJycnB0hl32iFXCwWSZKkaXr4HeNiAAABAElEQVQwt56E+7x3J583b974ar7lcnkwiu3RlrXT0j7LvNZ6tVr5Amc7e87+fHxVFABcX1+7OI+r5VkQ2a4xQRDwWmJHolvJdq2yr3Dz2lHTchV1pRElQH+dBgBjgIgEIgAZMi5zTuAKbx/aZdKunW5J+S1uGzFDy5YTSCnDMOTsLivLrdfKLgf3CTjtyCsZAACBBRUEhMjyIAIZIiAgIAREBETUihDBEAEgADzcP128OOf1jCuHyAghDL+aAIAQ0RAJRGU0GSN4JZZSaY0AiKi0FiiUMkaTNgYIgkDWtQqCQOlaCBRC1HUdR0ld1YhojNbaRFFY1yqMwrqqADEKQ6V0EARVT2nRygAAAQBJREFUVc5ms6qqtdZJkhRFEcWRqpUhiqJQKx2EwWq5nM1nxpiiyBhMJElaFhUihlGYZfksTVarTBsFQNqoNElXWZEmcVlWQoggkFleHB3NVqunJEm01kVRH83nWZ7NZrM8z6WQURSVZRnH0arIg0ASQVGUUgRZvkqTRClFAIGUZVUlSVxXNRcZAKI44mKWVRnHCRnDKXn5F0JkWSaDQNWZDCQZsh1PSEmkuM9Y2IGIRAywuC2accEgABGDQNZ1KaWsamX7iQVPDHoY90RRlOc5gzYAYEgURmFVleks1lo/Pj69fPkyz3Oudt6HExEjM+YWBAEAVFWVJElZlmEY8hst+CvLUtTKGK8AAAEASURBVEqZpqkxJo5jrTUjHk5TVRUDRB4OzJzBn9aacyEiw744DgBAm1pKYbcQvXHBiW3Bh1OQu4E0xgBCksT7T1Nc3iEhYl1DFIWIGIQd9M+iuhk7EnOtPWuuHCVjTJZlaZpO3LgTUVVVQojuLu1AVhatT1cI1XX98ePHd+/eQXdq3knDqZ8fokOuzL09WY/sYsNi5Hm+XC6nKzmMMbwHGla7fdemvDaBXSeqquI6twU5DDcYY77//vuf/vSn08GZu2BP5EZE79+/f/PmDe/8ej9Z/sYQL3LbpXp4eLi4uBh9i807AnabFbPzXjuv2ecujt+Ocd1fichFVPYnVwwiaJb77vQncfh0AAABAElEQVTH/yei5iOBNhoApAyaBXyQnogQEBD4F2w+NCVs98EEAForYygIAl54tNYAKBAZP0kptTZCIBnSxgiBWhteLAGI99BC8k5XGkN5lkdRBGCCMFRKCSGa1TEIqqpOkriuFZGRUvAGtyzLOIqruuY1u67qMIryPIuiiBUAZ2dnvKIsnhbpbAYAWus4juuqCsKQlRMIUFXV/GjOS5oxVFXV0dF8tVrNZjOtdZZlURgZMrN0tsoyXsMAIEmSPM+Pj44Wi0UYRdzKYRgURZEkyWq1IqI0TVWt4iTJ8yyQASJ+ub6+urpaLBZHR/OiKIyhOErKskzTtKoKFCiE0MrEcZJlWRgGHeVNlQAAAQBJREFUSmsyJp2l2SpnhU1V12EYaKV5uZJSaK2MNmk6K6sqDAKltJDCaCOEEFKQMYBY1zUQEEEcR7WqAxlorQkgDAIiquqKN5bcaghgjDHGEBBDOiklAjIyCIJmvS/KMk1iY6hW9SxNszwPg/Djx49XV1coUCudJHFV1WEU5nkOAPPZrCyrIAiUqhFFEAoGCnlehkFoyKhaJUlSlGUSx3mRIUIcx1VVp8msrMpAyqqqUWCaJkVRBoFgIaMwLsoyTZO6qlEI7tRSyrKq4jiqK2WMNoZQYJokdc1pCBFlIKuqjqIoz4tAiiAM+Tmn4blCoCAiIdAYQhR1XWdZdnp2CgACQWkj7JvCVH8AAAEASURBVCYB+ysFESGIdsACIPTm3s+fP798+dIF+nZ0u4C+O5bHp26tNS/0LhM3sTtp9Nj2pprlchmGYRzHbkqXIXd1d2odisTPF4sFAFjrVm/lctfW7YssJ2Z4Ot0QUdd1WZbWULY9cWei55zz+XziiqWUYjg8feVj9aAXcMaIe4t9bX9SSllWh3GzG3djzOPj4/n5OQxUCDvBWQ/qsd776OjoAHnsG6EFZ1EUDat9i1HGJmAcZsfVx48fR+1rVnlrE7sfoKsG4Ce8alqQ4WbHruJhFMrYQW6M+fLly6tXr5gD67GtRsHlz2pqzsKbTis/K6ullDc3N6yT4K+sfuftqdYaSMTLWjpGAAABAElEQVRxmBdlHEVK10RkNdh1XVsFeBiGeZ6zBd++kflIKXlbyTUQxzFDZ2OMUiaJk7quozgqyzyOYyJi28fHjx/fvHljd8BEFEXRcrmczWZZlgVBwPta3o+yfYHTrFar+Xye5znv03gnzVvVoii44EqpJEnyrAyjsK7rIJCMWqIosqYNVeswioAgDIPlapUkidH68enp/OxcKRUnkVI1DyKGFGVZhkFUKwUErB2xjWLbnXUGtkKKspzPUhTAtgAEIWXTRlJKIVBpzVogRCTTdBgAqFU9S2dlWSVJDAC8A8zzfD6fG2OkFFobIQUCKqXipNmsM3GjhEFUVbWUEoCquk6TpCyr+hyA2gAAAQBJREFUKA7quuZlm9eYoiiCIFK1ElIEUhZFmSRJVVVhGCAKpVQUBzzW8rwIg1AIqZRK0ogNPXWtbm/vrl5flWXJsAAa+4aKoqgsKxlIrY0UKKUoyiJJEu5UXKgkTqpKBYEkIkOklUIUcRIy0JEyIANSSqUVd3kACIIgWxVpmtZ1HQSCgIhIykArHQSB0hoRpRBPT09Hx8dkGuggJHBPbgEBCCkADLKqDwQgkqP/s4NUa3N9/eXV65c9fScQGiIERIFApt17tNMg2W/OWmvIGC2lHJg1h0QtC+bQn12XyyUZOj7pea2svT52LudNBkNamaIsZ7PEpnX2qGDX3p5Zc4yEUkrVKijwnQ8AAAEASURBVJ1NXVWZ2I40HW0QEU+A012YGJxJKRm7TOTGk4ZbwP0bbsiN5ygvegHW92/xLrDUUePzjDC69I4y2vTc9enZ9u6BIXzI3850m967XRPgvoL1rnu2zRAluD8REa/uzM21NTDmgFZ1MZSkx4eXOl4d7QxFXWuIy4T5W7OIi1HKsqyq6vj42H1oIamFDiyq9SSQreacV19eUXiKl1LyqsmqaebAim5OwC+N4zjP8yiKGLOmacr4YLVaJUnCNX90dLRcLo+Pj7Ms44zGmDRNl8slL1fQ6gN4geHlvyiKNE2zLAvDUEr5p3/6p999993T09N8Pi+KIggCXqc5TRzHXBDWw7P6KVPsAAABAElEQVSKm5XeLE9RFIjIkEtKyVtwrknWhXAWW8m2Gl2sZlukcQsIAoYjXIGMzKwloiiKKIrJkJBC1TWKZu1hYBRaDUrrmnB3d3d6esoNxM1hxea248phObk5jKFASkOECK3BImDVC78CANgxIM9zrqhGC9KaGNhAY7tiHMfcjvw1DMMvX768fv3a9lJulLIsoyhu5YeqqmazGdsvmFsQhMy8qqpASmrHoNb67PRMGy2lICIGiG2vpgYeA487A+0AZMAkhdDGsGBcA0kco7DtBZ2xjUAEZNi+tjYsNmo41vYhAIEhKssyCiMpBQ8zoHbfSoRi7S/FzcfvsjMDsu5QIFHjlrRYo8JpKQAAAQBJREFULFr3tTWsWCOKLrpopxoBBM0roVlCqrIiwCAI2KgKyNbCDrKgDkrpTl/8FBGIDFGWZbM0BVxvrsi0Ok9wpyart3QmnuYf4iXj5vr68vKlNWuiaGdgahk52lyB2NZW+5nWqYwxQSBdse3v9q221livahMj2noFMvSrX/349ddfCym6xRlS79f+HFuVFQCEUeg+pNaibZeG3eBMG2Moy7Ojo6Ne2nYH2HyGppWIaKNsrF6NwpA75ES6vb09PT3dZH3bnxhRzefz6eAMHMg4HZyx5sz187F1+1zmvnzomRWvmPv0H+SZ1C7YrCGArgLQQhDrJ2g7qP1gV252FGAdPluFLYQUdDkAAAEASURBVP4z7cTK5mQA4MScEVqnN2sXB4DVanV0dMQLiXWyY7ackTFymqbssUhd2znvsPktSZLwum699rjGOaVFgSwec+MPURTx3ppfHcdxlmXMPAxD9uxjQGA9HxmpsBiMcqxewaaxhb27u7PaSrtsl2XJQJkrnCvEamu4pNxeDIKJiO0grDmzGizOyGWxih/LyjpjAgBLaFsQERmo8UPb3GEYLpfLNE0ZOltXAK4NALBuCuwK8OnTp7dv3/IabJvDLttcUbbJrNcCEbFXNUvF1hxeF22zWrdQhmLQapsY4Vn1LbXKKlyv9PLx8fH09NRqrbjUVk82BM1cWAayttvzc9ZRUevo1c3SAAABAElEQVRMylnAwfeujrCXwIrECfiNvYcjg7br8NQb5PzT+/fv3759a3F8b5/gptw+RyilGHgNf9rHka5Ht7e3Z2dnPS+xPfdLLhFRWZZENH07a8G3PZezKQ1/3i4tNyKj4U1qCYvzhnzcrbIQQildFGWapCiw51//rMrnN97e3p6fn7sdrNe7en6uNlnvRVz5vMBsV/a0fNZqod4rjDHX19dv3rwZFt+SrShX1eQWjouCiGVZx1EEuK6r5xK/K8sy3mS6D3uy7dNpeU7m3aPr0QuOTqGnQek2itXqEQCx28OLFy8mdngmnuG9gLOnp6fj4+PpwAUAlsslAEy33dGY5mwKN15TA2drIwAAAQBJREFUppfRnurYC5xVVcWLK09PiGjPg/D6ZM8agKPUYd2DVSdAO3o5MZMFee6yZPfWXHGsG2BNAzimHPbgsYDGgieLHhhRQasVYIRh5eSM9iEvz1mWsScHOUoOxkDUqvStpQkRWbliLQX2vAl/vb29ZV2uNYpxVVgoYFNCaxSz6zoLaWHoYrE4OTnh1nKXZHSsAC4Otj0GuisrVxE6BGNqv9E+4a73RMTTk2sh3ZRxlNzEVsU1fU5h/fmQDw60kpsIWyfx29vby8vL6SLZydSiuoN5aq1vb2+HLoNbSrepiQHg4eHh9PTU7UuHSWWMWSwWp6enw58O4Pzp06eLiwvrbOuW657ZMA8AAAEASURBVFl8LJw6YMbsYSOWIc9z9r4f5dar/+3gTGvNWxFrLO5NxC766WGsgaOCubm+ff36lQUc2Or/ejBunyKP4Tkr1XqzAd2WbaXtgLOH+/uz87PRanC6q81Cjcav6/gI7bH3o6MjO/u5b3erXfQPSLnMG9B2/eX65ctLFGILOOsWyq0BsBq15XKptW77PLb/bgN8W6A2rztrbeXAy6LXG7vDai2tqpUxFEaNk+UWYfYB7k9PT0mSHHBuejh8+IjldJwH7RK2fbHYsrdx07Dn5fSICuAbnDHcsu4rWyjgIxJ20eqhaaukgS5WcIGX6wwIbZ/gJRm6ExkRMRSzr5jNZi4HC5JKkEFwAAABAElEQVQQkbcU1kBr9Q2c125r+Dlrj2wa/sr/2lWTzS62O/KH3uE49rOxtcY41R6S4AmCXXDm87l1YrVS2YyWuStzb6W0hrOTk5NeU9lKszMaDJaE0a55f3/P59J7HLbn6v3EzWTF25lxCysAyPPcmur25zAkVghvkuS5zO0JxOn47MOHD2/fvh1to2eREOLs7OyA0o02sT12PbGAjNRHwdkBnC8vL0cB2Z7Y2iXrKvfcjD1iGeI4fnp6Gi0mPL/z9zBWDz3vz62u6+PjY8dCeHhrIuLDw8PZ2VlXmA44s/x31urJyWnvGIrNPraXGAfxnJhNwMO3773jsrZPSJJkTKj+SwdsdHUFnwAAAQBJREFU+4ZdNgt0fz2EEJF181ZrAIOZebSMg9kSiUAGQbHMwkhOEckSewUckHE4kydJ4gWZAUCe50qpKTEHLHmZHJjcdXAiYXsAdp+B3PEwswdcN63owxVodMixsWkTn56mcQs3IQTjm+0r3yYObi4isu5WOyfK0YcuBmUN2agw21kNv0opr6+vR8/oPZeIaJ+wDjsJEfloyKa16lnEttfpnRsR+XjRdJEAwFfsLvIXaYLaM0FeuLHfmBdWvTBUU4g9NYfPd26U3Se8bXAt6c+i3gxArbPLJi3Cc6237prnvmsfPq5+hYjiOK7KenQxPmBAnZ+fD7pEZ3neKqFNKQDg/v7+4tri+/8AAAEASURBVMW5FH1v625j9dd+91f7OUkSANGaLNdZWBbLZ1TF2PsahOzSZhyDYL8IPY3jKD4p8lJrc3J6wk5x/LCHpfbcbfY0F5uopxQc1gaQ0Eob0+y4bCmsGMNhsp286IH4vewCNP3QHgBYJ+AttGfN8x7JdQc/mHDM//tgGkWNXXVpQ53mYY2il9e759qmEHscT+dDE+xNQ2JbjxdWRHR+fu5Lttvb2+lMnEnTA52fn/tqwffv33sBHETUU+FMoZubG19SeYkyyHR5eTlFEneu//Lliyeh4OXLl4ft13vEG9Dp/cra0ciQlAHsoTTaSdYD5LmSDNfXuqrqut7l3r4v//fv3+84qnIzAAABAElEQVQj2K4aIACaz2fCiRU3pdKiKILm+ORQ39avkl4tuV+J6NOnz73sXc6j++SRV8dJPJulO6t9n1LTwKtsDxpWBcOv7cc5n0dZlvmabaIo8qI54wnQVxk5gKgXVuB1ct4fivTBGVuOJhL7NU/nAwDGGC84j+Hz/hqvndx8xUwnovv7e19SzedzLyLtbVPYTQ8PD75K980330znw6zu7u58sfJyxJpZjfrdH0a8Eh9Mrobg9evXPiQCALi/v39uFkQUXbLPp0+XvLQLFBxXgiNm9NLs4x3S4zkMereJNjHnUkdRnOc5tU6NU8AoIvIm0NanNSz0KrYHfQbYghChqkuOstFL8VchuwAAAQBJREFU6QrvFtAC1t67jDF3d3c9hNS+kY/uGhepWDQmnJA6drV79/U3AAJADJAZCQEc1dbSAJyt31KWxXK1aB+K9q8zxvfXVG1HG73ubQsuBHQeIgiJYavcHZRi4zDZRKenp150XQDw9PTEwVmmk3scfiLFccxOt14YCk9nCzapOUfVe50BKYSYfrMKNEGG/NhovcjDtMVycQA9PDx44cOIyksHeq5me4tIRORrvF1cXPhSLN3c3EznA+3y6WsW8HKPArSutV5YAcDbt2+nZLeVQ0S+ujqs110PZM/o7EnUxuVxeyPPiYagva9s3AJCbZTEfZhje59ML81O88qQv9IqSRIv9akPK2YAAAEASURBVDUqvNvKDoZA1yxoC2V/JYIiL4f8LAdq3ZetackeUbRf+VcpJftr9uy/RMQvsqioV3XGsOGv47P4+PgAZNis2aPRCnGPT7l1EgSBs1IYaK9POGwe26RVGnaqQVWvHzaspB+HMwBYLBZetB7kKXQoUxzHXYe/Q4hrrK5rjxMX+NCpQ1tdsJ9mfb3XofVdZlPJFx9oQ69N58ObLY6nNZ14G+qLlS/tq8fVPYqiKcFsXfr48aMXPgDABwum80FPHhJMnz598sJHCOHxoqQffvjh4LpyVyxs7znxQr3LK6cQx2F51ow5TIzYoBAh5Wq12omfdnK2S/4wzXbm2B6Bch9yvBhac4xbAAABAElEQVTw1OdXq9XQH85u5d20Q58tF5wB4D5G8501ycsEd9SxykG3zjYlsHIi4vxoZiO77QRnrhhubx82BCK3wIFr83MR+ZjATZr7+3svNm4A8HW+EhE3XSN7AKu6rh8fH6dP8oyBfK3RHolR457VtdacIWJVVV4c3zx6z3FITC+sTBsSbDorIrq+vp7Ohwkn2xDtkjDF08ilqqr4KPJ0Vr4AByI+Pj76Mvwvl0tf+4ef/vSnXvgAgMdO9erVK+uLs13rs52MMbylsWqPKVL5siYTkb10cv9cm/R2iGCMns2TLZXEGTfVpIsDRBsVb3p1IUJVFYjkZTa9uLgQTuQ8t2N0AUGjdZ1vpQAAAQBJREFUK3If9gpy//CA4MKXEf2TW1f2ay8lIr5586ZXVy1iZjHICtAV1bR/6+Z4enriX92iben8jRhk9XANVVU13DAfANytGnVTAuY5bIWxMWsQ6ez8BNGP7rlq3Bk7dFiPLYrCl9aDbZG24fYXpteZhRAcL8nLMPRL+6v8OwhuoluDy8cXouKQpNP5MJSuqsoL4BBCeDnuy8Rhfryw8qXFCcPQi/saABRF4UshDAcdUhtl5SuWIwD88pe/9DL4jTG+sDU4oTQmkhDCo1/t69evfQn2XD6b9CisFwkCmef5ph6xv/bFLq7Pkm0TEVEUR89HBeO0WCy2wJShrmjLW89Oz1xU1O9f5LIAAAEASURBVKvYrpG0w3xYUcMNiU3OEHeDvnOE3KP9Lm3D02NWwiRJhtP7YW1Am6MwjHXFbS2NjT3K58k2LzSbzXydMS+K4gC31B5x/UgpfS1h8Hwnik2EiPt75Hf6DTviTJ9ZOL7rRCZMHEF+Oh9s7xXw1bM96vO8dEfWCkz0NLKklHp6evLCyqMnnBc1NQuzT53vqXN68+aNl06FiI+Pj9P5MC0WC9PG35/i6UVEr169Mu2FVBPB8c3NjS+zpvV0MV3aM3svk1JGYCcwxM6m35JGiECgZH8pK1XP9WqfQdGDelOUoER0dnYGA5DR8DSkFVgHr1H/vJYMgLm9u+YL5l0doTEcw0LdlarqAAABAElEQVQgSmwrs9f3eo2FiEmSOk73TRoisnyEWLs0CeeuM3QONPCvURgDCWOAnePdlMPu0RQcCBrv+4aPMaau66enp+GowcGBhu3EYIsX9X2mQSshNvpXbOOJoBXM1/o1Gm/5sAFeluX0c4TcHGEY2rCxzxLGneVsNXIIfS8qJ+MpkAUR2esKd1In7jMXZroEvSuip5CXA/MwpnifQsaY1WrlhRW2p6i8cPNiNrI7Dy9S+XJugDH3NWppfyZcqJOTE1/qjcfHR1+sPKrf+eJXL6zYr3YiN24mvvh1ukiISIbqqjb68It67EcAQITR/eSwg412OfuENTeif/sh2uTPKv7BUKwnnRCUWwAAAQBJREFUGwAIIdzzNH22z3OrwjSdIT7j5qgtpZjNNjmAN4coXdsobEA5/NPT4glwJDTGPuK5PKMoGo0sP5q4/cn9WyfgFtxZCe6vTuLegb7m9tUDJr0hlWXpS+uRJImvuEsA4N6zt39Je4nZrMknnb1MOPbSxem0v+qqE5Vea22rZgr5gpng9XiXaO8ZnE5E5Cu+ACJ6CU4GAETkK5SGlPK53tabaLlc+jr4+e7du+HDw4RkwLE97z46JyLypY4lIo8erH/4h3/oa+BwpLrp3Ijo5ubGzxxHACBQSKLnRRCw5GhBUAgIAikD0ft10/JgH9pqsWl4Fs3zDJCEYNAgeuCM9o59JXA2h3IAAAEASURBVITgi9RcqZ7bEFY2viOuJ4aNyCAkDIJHNDJ0K1YgoBQBK8nclACAjRYKbHK3ruy7wKn/6+trAONmsYK7+GxY1S4xt8vLF63z/rPrxzYf2/FZsz6scJvY1di1P42As/07JA3ig7jlAxCIIoxiF+w9r5xdOjo68nXQZ7VaTVf5Y+soZt1gnltMt6cBgJTSYzBLexPjRHqWhqijOZNS7h+hZ7sEvmCmL1svEfFdltNZAUA7p/ghvlNlOh9fx1HbBSafzgoALi4u+OaJ6axGPeoOAA3oL6IYIvpSMRLR3d2dF2UJAPzsZz/zNTENg9BS16loT0LE4+Njvjx+omzUhG4nITurzS5RAAABAElEQVRmuOdKZRy38WHenoNU74nFCsaJQs5rAzs/GWOIjOO63ue2u5hEfLfeswplpbKAg+16q9XKvdRrD7adMq6ZA6xWK7YgEXEZm9RbGsI+t0svf/3mm28sghnWz6YaG+1C7AC+pWth95hCryrsT0EQbNrluuh2TyO1WxVu5Qwzul9ZKJaLz2cYowEaANerk2cNKH7vcrmcsli4sCmOY184T0rp3uW1Ty+11dhLSUQeo2d7dKOHvX2iOqPCCzKzDL3w4ZugpvPh0nmMwO7lwiUmL9pKACAiLzGEiYht/16kur299RVaMEmS0YnVV2c7gKi9YXc6KyGER83Zly9ffFXLEMgeUxG5SgAAAQBJREFUUF47wxzMoccNEKQU0yMLkHPQZFPvQifOwhCcrUVykNCw8hEP6a7Tgax9nXs0Zx8xtqSxwQsRwdpwDwORnz59shm3VPg+3LYD2WGTgdNevUoeRfnPbT7mecDmbVBuDkuLZVnwgYChGM/tJBMDF1hwxrsRj1oPG0rjua3fS4aI7GTphXzhImi1YPuk7AShtd6I/7+9fidJKb0Yxai9W9NLLbOSYzofJl9WP/B0DSIiKqV83VvAwcn2YbVT8+HLl5yIfB13QMTXr197gUFExP7yLreevmF/8qWOBRhxxjrYx/b6+npYVwdovHijbHc1OLAxbcrVq0lbEKWUu0fqpaSu25klCSAAAAEASURBVDvLy3/dBEDNcTpBA0PeGJMdzcomtuEyvDMjdiN6cOKrqyu+188M/eJbhMr1wX/2td3qNQDm46f3FhaP1id/4z9rQHYLgq3F8MWLF6PVMvTvHq0fcMaI0QCEAP1QJm5tiPZ8QIstwBhAlOxCx2m01lmW9dpoVy8lR0UK4KBqDlA1HNdEIxbkYVex6QGAPSjsr1aqPcfjUJ+6M8smct9YlqWvxYKI7In1XoWPfnUHgjGmNw8sl8vpIjFprX2ZNaMoevaBAJt5ugQe79asqsrXwU+PUiGir7jwADA9JrIlLzH0GVv72nbkee5Lc+bL0goAvlwGeevvq/k8xmfxNTEh4qZ9XZoxAAABAElEQVRA29s9QkZ/fffu3ZYxSC3tIxhPlwfUPI0QCCHdr8zVuhCNshlzPLceRwSO+9F2IbekMcZ4nBwOuEitU0ctIeLocRPrdLWJ1ejD0bjZo9PFzv5WViVtfFX/6KsVeEhRFLmzn/ve/fsntNgxiqKtyGndi3YxRiIwxpV/L0lGO5jW2ldsiNls5tGO9Pnz592JNgMVW0xE9KUhgv1uZN+HiKiqKnZ72Jm443PGm9Hpc4EvWyQAxHHsJcwStSd1vaAEAPAV2QUA2NPICytfg4Q1Z15Y7U/b93+8qfLSfIi45xSwD6urqytfnWpole5pX/YnXys6EW26RvYAcPbhw4cgCHoNE6MCoAAAAQBJREFU7X7dU2yeeQ++JnkIzogQQZJBY9h5f+3IP4QmQogeOLMPEcGQ5vMKo9huk4P5aMHF2B3qeGhslLOzM9aXuJW/k5sVz2YkooeHB9a1uX8OOBMsu6uBGy2jaIPiulJtkcdy6HUhTn95edGGpR2pTHQOeWy6MZNJKdXTYbvgzOU2+gpLnH7LbqStHOL+xv2wV6vrP4K6Uk4apLFzCaOVNuyEHo9YeglOZsm6dmyZJWBQ1RZ5uy3l65IbAMiyzJfplk/a7TN++xefe5HAYygNXzjPGZYeyPgITmbp1atXvgx2vg5+8mlNL6w8AuK7uztfLejxMu+bmxtfUnn0OfV41dXnz9zLIWMAAAEASURBVJ8HaKbjaLUpo/uVc11dXe2sK8vffVfv7a51ZguTfdqFCInIMM5DDklvV/eRZX6UrfMQhZCjF6gfQOSYILfDuH3I3QT2+IzW+ag8AACAQbDXnLyFm/3J3eWOtuY+Bjh+xfv3790sm3M1wVOco52dhg6C8NWr10O9mvtkn4bgNZj1N7u6zTgDtx8SkCFzwJgegnsAKMvSlyEiSZKeE0Wv3UenDpfsT4i4p1RbGNpNwsPDI+zXUjtpNpv5mpz39wvvQFGllBdVp/F3fRPRIefCRukwI8goCSE8ru6+EJUvbM20p+p1J+V57qUFEZFjOkxnRUR89ttLLy3L0hcMOj09nc70hYD5AAABAElEQVSHySOQ5RPpw9lwu8ZluKcnovv7+33qyp3W7YceGWO2n6TZNSlj6xGFiOjE327+WPExqoOhgbfQ+iEhEQghsB/q7EAa1sDBrNzm6LHqLaWjeds0AgHns/lobP0t8g91wPyTazTfpI5yPQt7qMtmQcSvvvrKfcsoN/6RVVZO1I9OketKPTw8Dqqh7TDd29ZdFc4oDBptONFGzdheedwPmQ0ipOkh5hq33qyQcRz70pxVVZVl2XAz1vu6pff2BvU+L90JzoSQ9ubA6TOhr/C/iMj3zu2TuDNcoyjyaKb1Qr4OkBJRVVW+oh6AP+8u8heZU0rpJUIEDxJfwdzPz8+96D6NMUkj3wAAAQBJREFUMXd3d778JHi/Pr3aaT9t0J6sfvjhh+l82E/WlwnYGPP582fs0vYs1HVnJkfRxed7hr7VtOE8/PCrXWOCILB+n+4WzroJW1HHXbkJ2C2MX8B3qoiOyzbA4P7v7YQIgARgtFZONmQ1zVj6fn3S4CBCb7tlE7vu847MHS/pHnM3sCr/1EtpNp8zcN5iCMznL59p7f/u1i2NPVzLNiz41dUVDPrMaG24eUeF/NWvfrVlJNLYSYjRviEDkSYbXYp7L3D58Nt7bMdEQvc2T0TcUm/uixgiWJ3fsOe4NNzPuGmWyyUfMyfn1IjN1csOzrCyv7rFxG4Uld7rLJPeu4wxRpNWhtURtHEAAAEASURBVPgkDQAAvHjxolcW+0Z2YzDGEAEQkkEABEIyBARACIRs7SUCo/X7Hz8AIZ/R0dqQIdP+aWWMdt6ijdHUpjH8It0SS86flVLGGKWUMVTXStVaa6M1GUNlUWll6lrXtTbasFaCp7uqqsqyNMYURQWEq1VWFJVWJlvlSuk8z+u6ruu6KAoOYqWUKoqiM/L5hgAv+GzY4w+joii8uN4zYmXP9OmLFrV3oUwnIiqKwssmxhizWCy84DMp5evXr42PYMJ3d3dJkkyPjiuEmM/nvjRnvjA6It7c3PACM5GI6Ntvv53Oh+nLly9v3ryZzoer3Vd1xXG8XbnrqhOGL3WfsHfsdtVHluHcAAABAElEQVTdboGoQV8ykFVVGSLRyYVtor3IZhVStKxskIj+Iu1ORC4a66XpTaR7NoSLTS3P29tbe5q7p7bppdxJ7959venNO/P2ivDly5evvx7n9tw9j9WUTORGNO5g8NxBYNrzg9jvVP0tx56yKaVgfbfmDml6SNRqH/kJhyUy7fZJCMGX8TAW4U1UEATGGFaa8sm8sizZAKW1juM4y7L5fM6wgeFFkiRKqSiKGIskSZLn+Ww2y/Ocg3eUZcn3F8VxXFWVFIE2pLWK47jM8jAM7+7uOFCL1jpJkrIseeEmojAM67oOgrDIM1Z187vyPE/SRCsNAEKIkpmX5atXr8qyqqoqSZJakHskPgAAAQBJREFU1VII4g2UaIaV1jVrf4xpei4KlBKhxUK8AvIHvpjb1qQxtdFEQIgikILBZ1nVwLfdIwghyrLkKqXWYhsE0ePT4vj4SKBQSgdhWFe1DJraFkJwiaqqQsQ+OPPiaeTxbs3ZbFYUxXTAwdXqNwitl8XPIyGil5uzEbGu64eHBy/cfMV04AmCJ4vp3G5vb7/66isvmMPXRUmI+OnTp00L1f7E9cMLlXHiox5Mh41lq4xxH97c3LhBR5k4jWiDHbgPe+T8SggiWxVRlGxSNpiBcq4rH7GpiAAARF3VWmtEAdRRcmELNxD5okOLYzQ4S137EIwGBKkVtdYvIiAAMHzmANcaArHEaQYAAAEASURBVG4ajlrFL9WauNqIrLoI61obTWTaJUETsEgEgEiGEKFWms1W7VEGQsQmAi4CEAIQisY8rTVZPR7LZpcct4r4GREJRAKi9iZNIIEIP/zw47t37wiQ34FoiABFo4lsjkFYLxIE0/Dn+4eAR7ExxhC8enVlNGtWGvwAbVxfVoEgEiCK9qsQaAzxvwQkUBAQAhqjF0+rNJmruhYCDZEUUikVBNIYMmSCIFC1CqOwrioiEFIYbYJAamMQUAislYrCsFbKaFPX9Wq5iuO4LMs0TcqyCsKADJVVlaZJWZRxHOV5HsUxAlZVNZ/P8rwIgsCQqav6+Pgoy4soDPM8W2VZGMRZnh+C54KPAAABAElEQVQfHT08PB4dzWulwiAQQiyWj6enp8vlMgwirQ0RzWbparVM0zTLMhTEAszSWZYVYRhKGWVZFoZhnufz+bwoChsbhVf0MIzKogqCQAayrqokSVarLI6jWiml1Hw2K8q8wToGlNJhpOMoqurSRmhnOMJr5XK5tME7hBBFUbA8nFIplaZptsoCGT08PpycyDieFUWZJklZVGEQEUFR1LN0nmdFms6KogijIAiCLMuP5kdFUcZxXFalMTqO47ou4zheLpc2hB5XQpqm9o0M/vIsj+O4rispZRhJpavjk3mW5WEYAZE25ugoLctyNk/u7u7Ozs6CMNFaz2ZJVVVxFHZPeYe47dGsPgAAAQBJREFU94mKMAw5gDZMCOpkjDk/P1FKhVHrih0FANDDXayQQqtvJKLVapWm6XTbHxHleX5YbOshnyRJpq/HrIpkveD0pVQptVwupyvPuNrLsozjeHoZ+ZDRdC0Ob57spmEit9VqJYR4VgFdjYizUzGfPn26vLycjvtZZT10ExmqE/aBld9///27d+82qRj310mw2vxZuyMrIQJSV2nx4cOH169fN74mgLyAtf9azEE9Ph0iICBj6MOHD19//TUbX3pNA9BXhNjpRLQxqFztkdZaKZ0kcSc9ESA0izcv9gAELlywGixr1CMgyvJ8ls6EdN8+0KW1peV1vjUhQcuW+EgmEGV5kb0mL6AAAAEASURBVCaJEIIBiGFYhUikheC4spKMQSEQsK7LKI6MNoZISqGUFkIYA4EUZVnxGqOUCoKgVlUQBHzkIAzCqqqiOFKqZnSilJnN0myVx3FcVTUixHGU5dlslmarTAbBcrGK43g+n62yfD6blWUhpBSIZVnO5/PFYpnOUq0UaymKoojjJM9zKUUUxXVdx3GcZXkUBYb03d3dq1evnp6WZ6dneZ4hiigOVqvs+Ph4uVwmSVzXiojSNM3zLEmSsqyNNlEcaVVHccQR1xCEUjqO49VqdXx8VBQVkUmSuKqqKIrKshJCsNkpDMJa1VEYVVVNZOI4VkpJKXjvJ2XAV+J8/PTxq7dvi6KEoE97AAABAElEQVSUUnADBVJqrQmADBFRHEdVXQcyqOoKiMIoYkiKQmitERAQpBDG0Gq1ms/njUGNDAIIIYUU7JsYyICAWL/C2wZ7c4khAqIgkLVSURhVVRUEUikNAHESV2UVxVFd1wjNGeEwCuuq5i7KIpVFmaRJVZZSSkA0WvPDKAoXi0WSJHGS1FUVRhFrfMMgUFoFgeRKKMsKCOMkzvNiNktXy1WSJsZoper5fF4WZRQnVVnWtUrSiPEEG+LZ3scn8MIwzLI8CiNW8QWBVLUOwqYgLGoQSm6pLMu10scnx0QkBPJ8uKdJoaOXNc4Y5fpoBzu2WxNsx5kzb4hmkDd+dc2hXa211e9a7fFfmQAAAQBJREFUUGjnmRarNBNC+996ODd7GGzmoIeHB/fe6qGqePh5U3lZbZYkyXRwZiHNzveuJ2W2vY6pYZ9NRVHwGjNxabeG3ulxK4wxWZZxpXiBQV6kYsFubm5evHgx3YDIAHS67pOIlFIPDw8vXryYXle3t7dxHM9ms02seDIFx9DTAwo8RLl0jK15oNrE9usQYazhS3tpHSJqrT9//nx1dWWPu9sE7kh2bQGjqgX+wJMd2I1/CyXdaYU3Bq5VnaPu2dvJeMV6fHw8OzuLooidS4IgYP0/6/Z5OLRb5JBjF/O9F0EQFHmVJLHWulZ1GAY///nPv/vuu7Ks4zjWSvP2tKpqtjgw7K+ExecAAAEASURBVK7rMk5i1qizhIi4WKxOjk/yIk/iJM/zIJBSBkrVSZIURSkDZNtEmqZsjs/znBXydV2nabpcZkfzo6qqCQwAVlV5ND9iVfpqtXp8fHjz9m1ZFFEUl2UZRZExWhsThVFRFkmcVFXFjcK7ZC5p42tCBARpmrAbh5CiLMrWH4C0MQIFe6cAAHvdslS8UVZKBWGgahUEDSwARCmby6T5CFUQBGEYci6OoREEoaprGUghhKoVIgZhSMZEcVQWpRCiMUAEQZ7n6Syt6zoMgsenxdnpKQqhlRJSNuApjbVWQRBkWZbEMwAoy3I2m+VFniRJXddSCJYzTdPGilRVZVHO5/O6rmf6uAI/AAABAElEQVTz2Wq5CsMQBRRFfnJywhoF/ldKuVgszs7OlsvlLJ0rpZVWcRTzHr0sS4DGd2c2OyrLUggpELQxEWOIOKqqSgoppaiqOkniLCviOOKamc3TPM/YOBXICBEfHx9fXF4URRlFUV3VQjb9UCBDAZIy0Fq3FS4JQGsdRyEXVmvNnvVa64fHh4uLMzu4eKTbucIdenZkMSjhlHYSEEKURRVFESASGSH6wxlaTNY9GIEM71wqiuzu7u7t27cAMAwF6lLvCtHRNE9PT/P5XEq7pVzriZ0sI96N7Fjm6pIXi8XJyYmdWIYzqp213BXcVSHb97Ktzctiked5lmVuFKct2vrt4Ia1wEpRmgAAAQBJREFUHttPmrv1NlpSLiP7h+0KMrcXGWN4rvOlJOKafx444xnBHn5x07lr4TrzBtUCD+l9/Ki2Q3UiYlWqr/plVu6ifpiEozqqHlwY8gFHj+J+4GofDqr9yc5fnz59YmPrFlUNtsYmF3nwTzzx8QLJKmU2ybseCbxR42mR+TDO4DXPbr+s18JqteLAHFVV8YrOwIKIkiQt8iKOoyzPAYiPKzerV5Jorauq4m09eza8f//+6uqqKIqzs7M8z3nRrev6aH708Ph4cnKyWq0AeOvfODpIKcMwzLLs+Ph4sVjEccxwfz6fs8NElmUWDRwdHeV5bnEPa9RZcqUU52WdAadBxDAMf3loLOgAAAEASURBVPzxx5/85CduIJwgCLiYdrJwq8vuf+wsyfXJCzMrz1n3zl8tsAOAMAyrqprP54wJuBrn87lSGhG1UkrpOInZzYJPwDCySeK4rlUUhatVFiex1joMQhSgtWZXEn6RMYZhUxLHSmkCEkJ8//33v/7rv95YExRrd2J2BuXq4vrh6pql81opKQUAlGWZxElRFrM0raqa19SyqmezdLVazdK0VrUQAkEorZMkLvIiiqKiLAViksZFXqSztCgaowYD07pWYSCruhYoiqJIZ2kQNDAXAYxp7iYhtnVSozgzjO+1FlJqrQUKbBdvYwyiqMpKKTWfz1qNnTNMmlHDBjcQ2G7M+TnUmFwAAAABAElEQVSAIZKsLuJcZLJVPpvN2gObjX6F3LBe0Fj6mJNAbGyUorV7IgCBMWa5XLF6Q0phlX696yx7MzPaF9sEAIbMp0+fXr16JYS0cIRMcyCCJwKuCq4yxPa0BGJj/+WFH5AAHh8fT09OHLOuMxc1tlSyv66bAPvXkmutVV2HUQgbnPDAmTN7k9hwV/b997/sGc3RUZS6Uyu1twUwBHK1yACgaoXChjAdTsguMlgzhO4kb5/neZHECa6lIkRXD+Tis35tuq6KZMzj49Pp2YmLXPuSdf013Vf08FyWZavValMIw/2JZy0i6hk03F3xUMJNDxmcHR8fb9EQ9ept2G341UqpDx8+85gWrAAAAQBJREFUvHv3bshnk2zby8ibzwOyu8SaMz55uRPVdLoImzV7nXsT/LJgwvoH2H95de/do8dLVI+zW067JbLFYIjA6yu3Fm/BGQRgq/bkhxY31HWjHmCfQV6oeGfMqmzGH3EcMx+WsNFXhyFn5PZgpQWPUs5rNRm8xPKCwQuVo5CoWx1+cycBS2Ulh9a9j/Hi4+PjbDbjrpmmqZUfEfkDL5y2tnm7zI6QrLTgn4qicKvFOnJySbk2AEBrzV/d5d8qTbkmtdb8Ci57Yxdo/UOtyyebiVkkavXS/JBhllKKERJ7gvNbGFJEUaQVhVFYlWzRAKUUtxTjIebDGhRWlnDrMDJgqAQAUdNwoVsAAAEASURBVBTlWZmmrQpHNi3OFc4ghjNy3XIrf/78+eXLl6zKYmm5WaMoch8yBy5dCw5qbk2uc6UUq7t4bmLmrJhhPtxJuJJZu8AZXcjLo4kdSDmCiTuyOI07anrbbgapziQOiPjjj+/fvn3D94K7k5fVTLizW2+u6f1kry6xaL43DwwnCutA1pu/fvzVh9dXr8MwhE6UihG1gaNggJEZiEgpXZTF0XxuzSX21a5gPbI12fVIE1rrIi9ms6QFbW540mecbeKXFkWZJmlrzhkWc/1w+35MK319c3v54lI4M3mnrdswpD3tyCi31WoVRZGdB1w+tr8xg2FeIdY1RkSLxeLQu3fda6AKMyo3AAABAElEQVRAKfX9999/9913z+fDUnUGgtWsd3tU54go9PvGSKPUlbq7u399tSlYEgGMb6R7aiEyYIgWT4uj4yNnCHcA6lhH3WhhyLI8joP9I0duGQV2YdqHzxZinc5qtRrGOdrfAmhTaq3v7u6Y1faM2zs8tec9h/Yot6vvqfQhIl7crd3mYOMmVxejo93gjHEcv2y1WrmLKNtruIHtHZe86rD+II5jbBXFvUMAbl53tbNLu6tL4Fbp1SPXrF2VbXbWMTAMwsZ9oTG9M3O7yhIR/1pV1Ww2e3p6Oj4+bhQJScLyc9+VUrKL5WKxODo6Yp+kMAyXy+XR0VFRFNZwY21Md3d3p6enE0ao3QAAAQBJREFUjFEYUljrCadhFxDu/Wy/YF2UtVjxK9iYzSVlhBfHsS0jAzU2E3OHs+4FXBu92fn+/t5a2Xu42baUXTKH2xf7pKqqp6eni4uL4RzkovDh1yHZWWBDRmD/nt6E1UMM3JHYj8p6inSL0GyRbamHhbLE0NNugywru1EZ3WxZhi5nYwwr9oazwJY6GSWt9adPn7766qthxl5V2A/gKGN6L63rWggp5UY/EmxVd70W6SU2xrx///6bb76xKW0CV//aaxHL076Ff108LeM4iWL2ebAz7EZwtulXMkRksiyfzWdSjm8gR+vQWc6RDGC7jCqls9Xq+OSk1SK5eTcqoaHxfgNs9xnDYTkAAAEASURBVPnsC79aLefzudgW6sz+1JGqByDI0OPj4vTsdJM8RGYnOLOQa7VapkmKotHd9iptDJw1rdOi1XXP//HH91999bZxaNyqp7fMbV73CSt3d61Snbpys/fe+8MPP7x7965XtN6rB/bEkRdppaq6StN0CPL41lQnfQf5ueMU2prPszxNU8umt7r3Bu+mGuAsDw8P5+dno4MUNrT76NgnotVqVVWVGwnMvv1ZmMMYwzEgWN3Ve8smAYbyQNsDLaLanrG7uepvcnit/OUvf/ntt9+OTub7y8bcrELBbaPDwBmDhH3MmgEvdYwDpJSMzBg0sL3W6qXYPm2MYaXFfD633oha6zQMSnTKAAABAElEQVRNrRrAHv1g/MR4kyERwwvGMRYuEJE9FWKrw26+WX/DgMb2IVswBoh2amM+fBaB2uOZLDlrp7hSaHC3A8d64O2gVfvxXYf2rCg/5NvubBwpRnjW68hNkySJKwa/gs8wc7VwwZ+enk5OThjasi3YbmjYra0XTITf1VMjW6WjixJ6iIG/bnddhzaYLUdFGva/HrAbxXku3d/fp2l6dHTUM5e3GQEa79CNr4B23L569cruXUZLwP8b2DU6xP2HLac9VjvLMpRfCMFuyFvw3J4khHjz5s1o6YZCjn5wP7OBG3Hb8ZfhkjkUGxEvLi56U6Gl4Xh0R/Hw1VVdz2ZTg6oAAGBzoCVHkgAAAQBJREFUbhFa69lwYRsFZw4DoLXKBKQUQo64c7RpNwuCnWTYgq2tyMzluQ3WWEtoV6qR5t6H8rxI4tQ6WO2dd2h3g9evXq13RbvOzbiIs/dcCMHHTXbJ0K+u0Ze+evXK3dfZlE3OXQhyDc6M5gNtrUnWlRmAT5CM5h+MHWMMir5P26YsmyXkDkDGaPPMSOObJsAkSXxFVMANBx7375xuG7Hr5HMnz9Et6Lt37yx/a8d4rmyWv9grbvBuPk9PT3sGGw/s5RLsKCPa84zW2723ovMHLqQtKj+0nYbBWc9s7GaEtnZ6GHlYZawist1oU50OR0Xvod1bYEvbOWynsiwXi4UNGjTKZxUy/C8AAAEASURBVEuh3J9457EZcDyPvISYR0Sl1GKx8HJT5/n5uRmLL3qAVMvl8uTkxEscPjZ3TucD/kJp8M7YS/gSaLcZO98IGy19ayqKYp9b6mwf5g9mLKJpli1PTo4kIAAY04mwv5ktDMthDAkJgAb6wTrcNOPBOLBRNVm1GQKgUrXR0AUBVngx9nAtHh81RfbdRmA9HBC6Zk0i4tsIWj592Yb7BEQkMqvVqg0e23Ekbyt5pKSOp6OVnwDMxcUZw2lEq2nrKcl6n5sYH93qN4hw/3A3vHRu0JFatSQ1Zo1hSgDgM++94ndt2Qa6OjMchGhhurt7eHN11fvFSYkA6P46EHhtt+U5udsdZxXoAAABAElEQVR/+fQxQOuB5/42bBR+jG101rWtk8hVPQxL0SN3xXSdjnbqujbpdVjIqmoCgLkPdwozSlpr3qBuStDTCm96yGoz1msM125bKFvwgZ5ynYP/d3//cHn5kvsSJzOHhhaymPgAbZlLiHhycmK1V9up8yYvYcBYG+TltnIAYM2ZF1bW+jmdVRiG06OqQtu9zs/PvUhFRB8/fpzOhxXLvqLsFkWR57kv+OKlogCAQ+x6ker777/3wgcR3RjuE2k0iuZmg04jwOjzPM83ZcTu4W5yaJTVmzdvBW6c3agLflxWvQ92Ydv/xghXK0+0xkz8XG7zcSHnbwv/5gMCUtNR9+2rvXpbvH/n6QAAAQBJREFUVyDRfD5/ziUFrQxrFLiW4Ve/+pVWultM2iInrW9t79cAm8O2t3VPANrQsk9PT8Pn24f5pl+lELSjmdxfEQa32jMFQcDa4rHiN31vk4BdbgjQ6Gz2LMJ2Yviyf/otlcmHGQ+QYUhRFPX0FNSlfUTiB4ji7u4OHY+LTRVFfbTXr2FjjDF6ew/fnzbduWTnov3bhWNLbU/DbPvXvB/WaXrELlbT+UCrkPTCipUlXtZRXyIBgFLq/v5+Ih5nQsT2+PckYhcW9867KcQeil76lS+1GQDc3NxM11EzffPNN8+aMTcREd3f30/nwzR6pWlvsut53Y6aJ4iIrUXDurJ6fjt1dLvUaOsAAAEASURBVKdUdC6gbP4+ffpMZJ/vIFfJ7Qpg39hExHDK0pW/f/2lCyKbJ4DYxkoy5EJ/V/hRZNYpFxFrWQQRakNCCmgvUHe09WtBelaF3jpkPyOiDKQZuNfY7GIDueBMCC64ePvmaynD3lrZ00u5RUNsz302NbRGtDw5bFo+bVNgkxEBOgc79li5Nw7MQa51S52dn0Lrre/0hGE7EoAAQNMHZ01KrfXT05OU1h2uA84QAVEiimH1j8hGACScPj+i94Lu0OvxtGnYl/y569emKS6OY3bamUiIWJbl09NTT7BN+Mx9KPpHMgUCJsmM4/FaGp2XrJLednnnptRmijg9PXV6uK3/QwCzMRyTAAABAElEQVTA0CfeFufHH3/8vd/7vT2XAERsQ8nsIGOMG/GFvAQdBYAoirIsm84HAPgUghfyqHcpy9JXAaWUNibyRCIiL3eoszDszDedW5IkXgL/EtHT05MXGISIvu4tAE+3rHqnN2/ejM5oz20IRLy+vh7NaAcU7WegAYCLi3O+fXKPP2wXdbTXXNo3GkNkCGhtQjIttaLigNWYqxA2czWbLTZUDq7T7awuAIFCoKC1zAxKOtmdh50/Itc6A0RgdP9KDNp8DWWPbM0QERDd3t0QmFaXsJZ3UDRbb6MDBAGQw8OuH413D1tG2+IdcxV/7trxcay2+7U00hZExtCXL18aMEXu1ai2UgsaTgAAAQBJREFUOE1F2U67CVxK2Xjcuh2bCIiwx9MYaP9GhkD7oo1dx90t2K67aZ0iotEjftj60fcyOsOzEdLlWlXVcrncIFcjz54zJLuq9xKjQy5PN43bV4kMgCEwYRBwji0Ze9u24UTEP93f3zs9nLtfp4Cj9TZKog1mZLNb4PjVV1/95m/+5p7AyRjDZwt2puxr8tl+sc87thPHRPDCygs+YPLl/wgAaZr6svppre/v733VlRdjK/d7X+BstVotFgsvUp2enk7XnPFc5kUkpsH+70Aiou2XA+7Ph4h+8YtfDH86THPMTnVeyphlqy2e8thZdkdX6IaEQGMgDCMxkGqgprKPt82eQdV6PvkAAAEASURBVDccSS/v/viM2ksOullGs49iDuwlWa42rqDd926fQAiQ5vOZ1eLZFyDuVa6e2OcXL8hZLjd3jz5zm9Kurz/++OMg/bPBGSIi4Nu3bwdKtS2djWnEnF3X1d3d3Wj65+pdjCEpN2prevW2fYhJKfnU3RYO28mtmziO93Ek3YeMMRz4qSfVEJ/tISEVZe72kGGaUc4WnLnJXr++6vZwsg6sz11wXSU99GHl81gh4s5VrOma7iMvIe+hDaPiZTYX3VPi07l54WOMWa1WXlgJIbwgKgAgoqqqvLBi+OIFMp6enp6enk5nRUQ3NzfTOwO1QeB84f5DAz6N0PX1tRc+APDTn/6lMZIJAAABAElEQVS0t40+uOp4oRrqZnrz4z4TsVJGK7NhuXX+CB2fcAIwiE3ozpY/SimLsuTP7p+jJNgOibqCaS2Fq9+lnsZlQIZd43spEaEbbaGfZcBz9CFA22RJkpITcKSn/xiq0LaUEZ2oOm1NbiwjNqcZjG1eyxMBPn38hEI4db5eqqwyydVc2ortqXOI4CfffAtrnYct2071aoe4ta+vb1uF5SbCgUkdh/ow7Oxy7a9r/Z9TS4A4ahpu6hAFGmMxAfUkp75Le+fg1LBl3cs0afMRqzaj02QIvXpjV+BN2bcwH5IQgmM+WIGtrs6K35sl3OzOV0QUJydn3CLcPYYZXVWZi42cukIiPyCNuAAAAQBJREFU1Mp8/vTFbSvmqbVxb2phsiq3ocrQOFG6uuVGItH+bdrX9QkRbQz2nYk7ZycPgIGjtL+ZYydxCNDpfLANXTGdFfhGVKMeo4eRFyuwMYaNrdNZAcDnz5+9HAhAxMvLSy/wmg/L+KrzT58++VJ8vn69Ke7l8/gg4s9//nNfvX3TMYUhGtuJz46Pj6UMdoOzsfWVwRl/JiJt+P60TRn3fwjQhommZ85a7Yq7JgLQWruLyhRCgCCQraj7q21GCoiIj4+P9vN28bqYG1rdQ8OTAN6+fbPpRWPcNtcG4R//8Z/sUaLdhAgvLvi6uU0ioe2hYz+5rNZ7gO1l3NnIbQuOHDrehNUbSYQAAAEASURBVLG2tE6e567mbFc7olPk/m9xHG/XxezsJJaklNtvA9rCqvsTEkHrd4v2dzfxPvJwriAIXr507z+wOHX3TeejHAd2fJACm7/n+INlWbZPkDNw/ROhDQT/XLmH9Nz7m7dQkiReDpUQka/SAcBisXAPGU0hYwzfbTCdFRF5QVS8S/jy5YsXqV69euWlM3j0ORNC9Ka5KfTtt99O5MA7Tr5v5IANUk+hRYaA4Jt33wqx3tUMnOUbcvVhm967Wq3sr+7URt3Ncc8XCgHIuI7AQAaenp6ItrRgq5xAA0jg6CQs80YMwEAGAnGrB9tasJ1VWpVVd9ZGGJwn6JIAEMPO2DJh8yaTZUyHAAABAElEQVS5NWATAEDXH044bjFdtRDiYrHgdUoIq6SB4UmL7ktG1EtEdHV1NdRgDcrrzpBNGduTo1wcA2Cub76gU/OO93o/u+M12HjQd5db+Pbbn7hiAhghQIidK6gAEK2vfdPZbm6/GNJuH0Dcfyitj1mQgSwrekrKURodF05puOv2xhe25y2E1Yn0eDqqL2FVUGQgjpr4nXY4u9q1fawBNn1VVRxRoaeIstx2TkR2SCqlVqtVt2s1lc+Bpq2iXTi3odgjFG7xhRAX5xduC9pfezPAmAJoPRaISCn94eMHpz+uPSmHvoa2+XBwtzh/7R0IaM8gQPO3N5AFgKOjoyzLnqE5Y/KiowIjUQAAAQBJREFUTiAiDk42kQ8T35bjhRV6Op0HAEmS+Ao7EgSBx5OtdnM8hVixxNcDTOfG8aO9aM44+NB0kRDxxYsXvpD6L3/5y4msOHsQBKOR8/bM7hIRPT09DoWiAe3Df9NYNhs4IAoiqIhQQM1X2BgiYwDo5eVLPyMQQBuNiPuckd8wdbpH8Jqp7znzwzpv5ykf2mzc0k3XzYBXYmKD7T6v0tpYncSGLONiDAgB4O7ujte2ncUcvIvYX8fCj7Ozs9G9jdVsjglGXD0uZwK4HXh3wX54uicfIGA33isRmAE4HstKrWzNS4NAnp+d7Vex63cNBSaWYZIalXqftDasYRrCi7HPnXK5H0VJ8/kAAAEASURBVBhwDH+CZzrRImIYhhzMsi/6MxsRAIwxrRf/c8nNQuxkKSVCsy0k2gW13Umx/VtTFEVVVe85bLdTG994N3XOme9zbcJOQkTjLzgZ31bkhZUvSyvsocjdn4qiuL+/94U5zs/Pp/Phm7J8+ZzxnZLTWRGRF0TFa7CXgHBM7969m1g6u6e8ubk5wBkO1+fJhRCCJ5ZaVcb0l88hOKORA+39LJsg4wbQI4gAQRiBVGlNuqgK9biArKh09eHTR+otzhtXwNGj760yBkAKwQZEJ/TDuHZwU8nc1xOQUoo/bSZXnWbz9nVsjL6AAIXoHkLCRl8CzV+3dC6f5i8IgjRJG3UO2TTS7KbWAAABAElEQVSDdagfPGIoMCDixcWFq7rY0OjNKzYgjebpzc3NqCmnBXDrunUCHJB1srKlIENRGI3q/5x+MqrVa36xhUDEyxcv3WpEFBzwAoj/RsvbAWf8qKzK27ub0a45jP7gamv6rKkRbOy9MNLiLGe3j7URSQAItNZ866tFCXbs98AZa9Zas3tTNDtgWSkwn89dmckJWjFUIG0iIqqq6vPnz6OJnzsxCsQhcNlqiBztG4QIQSDtte6swjYGyKAx/SyiHwaoD84AIM/KOE686Hb4qut9UjbqH3RuJKRpwdx55PPtTwczscTXWU7nA/5OAwAAa3G9FDBNU184j4hub29tjzyY2OdslToyBgAAAQBJREFUT7v4Ttr/mt6ddHd3d3Z2NrG6uHvzRUlepLq+vr66uvLCKk1Tc2gMa0ucd+cVKL1f3a+9Le/Nzc3V1dXYPLv2wEUnZjoCAFCgjBakf//H+n/6XZXnwZ9+yEye/Et/zvzLrxTVqAFQNmctcb0IbkYMYAy5I5gtHPwLrzvtirWvY0pbWgC2wCIAIHFQ/KYeAAg2nPLc4EMDIIWwISP44vn9so6Q0aau6yRJmjolIgJeNIksNGxE3VJ2rqfb2/uXl5dczHajun83WytjiMjOydSYw9pEA8+qnmd6z9gqJCZp7HYkh9t22dwszbL16dOnt1+9HdORchsD8B2hvVC0A4rj5KdaJRUAAAEASURBVOXL4aIzKtu67w1JCCTT2LfliH28JwZSqwEcvLFRBQmJFou7Y2V00hhVRlggUpZVluWXlyPHw3vc7GzAD93JgcUIZHh6et4ZxmN2Kjej67zvvpmA2gbaOB3tQQgE2ugPt7fvLl6WZf7wP/8Ncb+8/Of/yfvf+XvxP/Eb6U+vDJIAgQDQtN3GaQcAiCBJE76pqCfMAXM1u1ftk2vtc4aIq9XKi7KEr+uezge8ntb05doFAEdHR16CuSNiURQPDw++BPN1fRO194FOpzzPvVwXwbZIL/0KET0GJ/MYNWZPdfdOPjsLiA65X0dTvnz5cvts0vP4JgBtTPF3fvHwl/6H6H9m573VAAABAElEQVT7e+Kf+ofEd6+Kmy/LP/qjX/zH//mf/Jv/YfXbv1PmJXZn3bU7Wd//Glsw0dENYBshld/pKg4GHMalbldEhn2irmroBuLapUUbfRGvXsaYZgXdJcZWEQUuV0ty5SD28bbC9cTAwR9Au4geH58Yw/BkNPG+hcX28mLY7Mu4gcmQ6OPHD2PJ9petzUOwaV/a9t5NfPqVVlXl58+fNySDgWA0hKRt4UgI0I3WY3dxBqOskxgR4jjiqPejxws2sR2lJEkuLi42dZieRs390IMmAKC1LorCff8zIYv7XpNlq+fkHWdIAALl1cuXBqn623+Y/vbffPxrv1P99f/3+PMy/2/+3CEspAAAAQBJREFUzx//8v9e3DxSWWlNRpPRtKF11k/qqm77+aSpnlVXe0b1Wi/ASik75CYS28W8rO5KKS9B4am9a3w6KwBgtOEFn0VR5PHkYJZlXhSNfF2aF1bHx8e+dJa3t7cXFxfT8RkNrr2fSF6aj4gWi4UXfAYA33zzjSvVph0O46PhZGq/GmNub2+tZXN0F7tW2xAoACCz/L0/qf/T/z792T9Q/cZX5v/5g/qv/l/J5QX+2ttjIc3bC/NHH+q/8fsPM3n8r/1W8GtvYgpFIOSoksmqr9B+Zbd0BIBaaaO1lCE4ypstZJVNa25tLq11kiQ9ndn27Fad0EmEhIhBGOKOi8/3ImPMfP5sr/MAAAEASURBVD531IoAAgwB7ggYMU5VWcZR5BhGmvJsUvxsocVikabsKcusrNe2jUyxiexPzSu/++67sWR9rdIge4e49R8eH7ZFCsSNX3pvFCiPj043l6LfORztYPOgfQkS2X7TV/VtKQ7/0GsTIuJeCgPlFrYHC/ihcQKxutlbUQERyzKvqroXrbOnf20He2cawda8ZrkBAiIJu2lwrIHr4uzXxxCRLzO0pTts24sA2piPXz5/9frKnJ6oeRpnuVlodX0fqGL2B2X1eQU/+2b5d/5++I/++tk/849QEiEB3yznaMo7JxWGqBSgMx/us8xxxqIo9sFanfNcrFuavtKw26nHEBhe+PiRy/d1AAABAElEQVRSBQGAL5MfG+w91pWvOGdSSi/uawCwWCyCIJgOZIloNpv5QrEeabVaeYlIzBPTPgUchwVd+uGHH7755hubeBOTLcx3ecwMCQ0AKqryov5P/kdaLvHytH5a4d/9/vS3/iymafizn5SxCv7GH1CdJX/uN6LTi9Vf+ivlmXj5b/1F/LW3EfJ96KybsS41a+bt/5BXN60oSWIh5JYVbgv1Zlr2bSVqbUvUTzmsBsTmcsahOcl4Co4jEI1xA8yjs2bvw99q15qppsk/WbTLy8utqpp9X0BEHz58ePfu3c6ErqZq7BVEBFLIYVDitUzbhOojicHJ032ojzsBwBDJIGiuCKOeECqDVwAAAQBJREFUDO6XDhh1QZE7BMqytGfRelhh2BwugBjKKqWUUvNLR7OP5Wo0Zx01OUEYBMHRkSHaUvl7ViaHZG81oId3U/azO5rPBWCQxAh49PKi+vo8/Rf/sYd//78UWR6WBL9/FX55EL/7+3//v/jvrv7V3zr6F/6sujoLNV9rD6zrXIPoFvI6xRmvseHAd63AjLD31HqssR6DMy9zijHGVzh+vq18Oh+uFPCk5FitVpsi+B1ASilfZk0voTS4I/KlPdO5HR8fezmO6heW+Wo+RPTlcLa/sXUfJ4zLy8tNs3PPAVaM3fPYfgatKU3GQ/qNuAwjGaGrv/q7M6Vnb16bUmf/6+/UkOrswbEAAAEASURBVP/Vz3/3L//qb5Vn6c3Lk9N/+y8m/8Y/m/3hz7P/4/+ef/uV/OXjr/6j/9oYjbWmXhTSRklGKJzFC5sjeFJKrZ43XyHyuXfLf/2TMUYbDaM6szEtWstxqJ8AFCil9HCsCwAQy95J500WtHEiWHuUY9MlOnh31Pd/N/3iF7/o6glGT29sFKkFWwJBXFxcjmXHoV+8e7BghC9REMi9i9KI0T3B0LyxrtXe9+BtO7YCgE3ADMRdVUTOH7Q2e2pDybBsmCZzVlWI9lpbO1pxswu/1Y7bowM86vnK467Vcv3HzzkuTK/Oe/NJUVQ3N/cIm2KxcjiVnTWJACKQ4YsXL/kq0ikhS5/PAAABAElEQVRHI7mM0hAAaKng+kaVJalMvDm5+s/+3fDP/Mz8+X84+Qv/tDqNa6hPnhY3/9Vf+fwX/r37f+U/uPtv/1r+/kuNBgx7EDRNprUOGwWKsLK5OjPseuP1yMVnSZL0LlTYRGuFDbuBH1gZXeJQGl7cg3yFTEPnzrLpy3wcx77qKggCL1dPAgAROduOSSSlfPHihRc1KkdDno7PiGi1WnnBeUTEyvPp9lZiN2Qf980bY/Z3GdzZLlmWzWaz3mQx9BpxvvaNII3GCGCVLY+OZ0TN7b+OhbGZPXW7yGsg88cfH3/7r7+endR/5h+s/5e/GZ2H1y/ET/65P38+T/+guHl79rokJpPwjgAAAQBJREFUA1+/Pf93/vX893+h//bvnd2/kX/359Xf+sPgH/8ZAAWArf82WAHWgI0AiIRAPrnWszVAxzlrrX5zP7sPwVm32uJs6PB7DwIEMARVXSWJB5cAY0wYhRN0Xei0Nn35cv3y5WXH3urU2LMG+tdff01EwyxuhXch1Dh3Anh8fJzPZ4OUvUWOEeTGtRoFCoQ8L56roXfVT/ZTnMRfffXVmLDPIzbBK6UAdnYG281dNSm2Sz4A/H+8vWmsLMuWFrZWROScNVft6cz33OndN/V73a+bxt3Q0KYtYzD+0dgSMrbwJPwDY4N/m0b+YYQs/ANZlizhAWOwjGULsLAb042bHqD7zf+xWbgAAAEASURBVMN99707nXvOPmcPNY85RsTyj6jKXbv2cPbelfLSPkdVWZkrV0RGRqz41kTFZzyLfbnYiqUD6MU3vfhoPkipkiSp12tw7Wbv6uPLewGA6zqu696hfy69Xb/X393dAbic3/JVWBsj60N49c/gjiSVBA2025gcHSVpoP+rv1X/u/+UKWTDwWI+gvb3F0enbL4QTS8IPK/enE+n+r/5+/R7P6r8l/8B2T5qpNVeSFgizXLXdS7An+fo9cslwfzGqxgrmJaITOR5XhZyhoilJAtdn4W3p7IqxAPAYrEoKw4DSkLOACDLslJSphlWpfBBxE6nU1a3m0JJpXR7WcgZANwws/F029kkAAABAElEQVRNotxNlt1i+1tsmnFVw2d9G20m5/UZv9hGI4NOx2AbiMt9P1vbDSMA44RLa+A0Hv2P/6ATVqKH9fjXf5dogf/yVx7/5f/4wZe/2KlWLcvpDcfEuaUZMLS/9DT8U//K9J3d8GfeTX79mwiaF1mpllM/Mo6Aa8nMlndEQOCcUxEHQAC0Ar029vnnoLgLB818ikBAbDUFFrkllyeswLZzwNtVhIAAglu6jKHFGLMt+9q0vdcTru3yod1pX6JOadLq8upD19DF0pMrducQlgso1yaAhMv17OKZ65cjrJJHXPPCImKz1cQbzQ/nxDCvyLpWFEfxZQEB62PrktwfF4lWGc7ocRVpTAAAAQBJREFU9d2LcAmutkLFABCQiKSUxmdsTQk2WXjOvby4lntiZR9dT8CBAMy2nEqlujpOF8Rgq1x9G5JfSFMCmGbZycnJ+q/n/67vo429F1arVXN8mR7x/F/xmpNeHlkKuJwBTEZFpbVkDGthkHHwXS+pClHfETs1qxGKr75p7e103n7LF8IPK+EX39z5yhf8B0+ybtyshJU//hN2d9T9P/4paFJwNvNEUew6GyDR+ii6Drk8/xP6fpBl+U1eOLHqFtJam3xU22swQghjHd+Sz60MtP9/0nw+9zyvFEjPjMVStEZEnEwm2+tnBkMtq9uFEGV5+/V6vWazuZVgK3S53e6Upan3+9xKyNsAAAEASURBVP1Syi4BwN22NBc2vgiAO51dzsVlvwIU6NRy0bjOU4SIut3e3t4uIgrrcvOEBsgZYS6TX/26ddhPgMPX3vVeDdWb95w/8vPoerN+fxbNm81WvVI1aVABgWuSDmv+3Feyf/B7Dik1XEC7dgZHIwAAbbh5nLUZlFIyV+CZcwrHrDX7rD47+bxb8xpLBETURKQpTTM/CM4DN8btGW9hTCSDJxBe0auX+CVdw4xWFUWvON/UWL9KNrOMFVrmaDSs1+rcVBNaSYMMlsppAQmcv9kZULq6AhBt26GV4rThRnVuqQVgBuaBC8vKMhccep5nesuAjnB2Jp7JsnZvbRp1Bt/SUr2cUgjsAAABAElEQVQmOj3tHhwcMMRCa0eDHa43y1QUWL0BG+Kbe/m+73nuUsLVD2iqDSwlhBVwiIXGWIh75qcPoE23GqViteU4/4zIlLkAWm1DaKkvLRsCCESIWoOWWQrkAzFNwHA16NdwB00EetmbmtA0Xq90XERgpk0IpORsNq8264SAejXqkYDIGFSVWmF1eNZ7CjUjYxbFFaJHQohGs6GUJo5MkWJICEIRAigEJECGy5tKCYxrIAaoEHLQrmaEqBE4IJEmoChNUAiLmBQklJYE3LhhGLXUEgrAUqARkFApBUgkc2EJQAYa0t6w96MfwWSR2GjV6rs/+RUL6bSC/fxkH7D17n3x+7+89EsFfgAAAQBJREFUQOlFsfzOZ/zRTv2t+5/+o3/iM8fZ32Nvv8W+8vYsTmo//W5OJLRWoEEjQwgCP00zzhnjXCvSpAXnucyFEFprrZVlWWmauo6b5TlnnIikyh3HybLMcZwoikx2qjhKEVFrFSfEGGZZFgTBaDSq1WqTycS2bdd1x+Nxu90eDodnqybnfDwel5KLoaxQTQAoy3pYFIsoBXp5bRKpm5MJ/CwlRo9KKmlqNP2ysE+tdZqmpWQ729nZKaHbCUhTr9fb3S2DW3nQIADcrWDrpXDC4eHLN998esUVaCbxiy5TG6eZv3arDQBm4wpwGcROAAQcKP3t77M4Df/w1xZ1n3ue/hM/i3GtvOwAAAEASURBVM3AIkYAXIjDly/HQfDeu+86jq0RAYjnsLjfkicj5/5OMhhVO2dxFRv2xw0VZKVxkibiZrXdOP9iY65QlogAARnnQnBci8QsWrts4M1GCgGYVYRdEa15lrP+NZ1vZMb5fOH7gdZ0ZfjnNbKtKUorBQk3xDDrq2moSfrAjLa6xFjWZDSKrAYAcB2PCJTWbKNA0toFWhvFdzU+2bJFBhRhiFpppdRkPKlUqua6ovPNmUspEABIa1rjjUpro3hpTYwhIGqt91Z7JNKktGaMAZKSinFm8thxxo1eZTCYZUTHpviYpulkMtnZ3YWVgqW15owbFVBrLfiy15f9uuKxdA1adYnjQAHbAAABAElEQVQxRyVJ4rmuGZ/I0VT0QoZEpBUhogZt7msahYikQSmVa20c1tLZHOMsjSIKHKU0IiFDpVdqJoLWy0g+kkoCyUUC3ZmMFtK3HWA6SiQS9z3mWCzwvUoAFgPBLIsvRhOmKY8j5jl5d8QU5Um6OO5F3UE2GimtXdd1qjW0hKgEdqPGQpfZFjCWaWVLDVHGle5OR/PZrLOzEyfTxfMTNY2CVjufRFF/5IXhLJ1YmUp6I078ZTzen1GSJpGMvNCfW1Ahy2k1OGOh67P95uKop4ZT13Kmxyey7TqEme17nqu0BovvP3p4dHzUeXJv/tmL6fOjxXSWcTtLYpFnjuDTJHJtmy+y1pfL7AAAAQBJREFUoaXrwk3z/KDa/HFYcyoVb6FkOpkgfvL1b1nf+P7pN343k/Mv7r6rmm+ob32oUHg/9UXs7PT+yJd3fuKd7Keedqrt49m46QWpzLIsazWbw8GwUqlMp1MuhGM78/m80axPp5N6vZ7neRRFtVotjmPbdpI4dRxbSiVVZmqcW5alV1XVEUFKyfgSSDP1vk2gm+d5xiJXrVa11pVK5SwJrZSyrGLeZRFeFkVyN9Ja3yYlz2toMpmEYbi94mjc4MpSQLGkRFkAoLUej8eluK8Zz6dS1CCDnF0DWK6jRJdb6hEAgAtmWeLSC+8wQm4Cm+nlgs02otzPO4XQaDRyHOeavlpOwcOcFdQAAAEASURBVOfMEAhwybr96NFDAFh66S7bvdRg1n3MVj/S2Rq/SqRebPh7vf7u7i4gg9XdEUHrJSRDBESa5yxaZPCj57Jdi37yTb9Z17/4k95X3mPIiLTv+wZKV5lExjQRB1SMcRsqGE7f2E+fn9A/+YF++xHjK3OMLrAN872wyJibIue8yEFDRKTWgJ/VJeY7gSLSoM3qz4um0VocJGkyi6IxEBVwVeFZtcLh0FyGq7BO04Ns5bUGCMgwy3NHnhXjIwAijQBk7gDICDQQalDaAAuACJpAkxZGCyMoTDhKK8YQ8yV0lJPUq4ZyhciZ1KuYToZEBHmuldJK2ZatgFBwRmgBt11nkaUJlAgtAAABAElEQVTc4hRl0rNYdzpyVJhS7PMq8/rDoe/7jCECep530utWa9VqGIDUWklJUmnNucik9JG/fHm48+C+VhSEgVbKAkzSLI3iRqsOnGnSDFkWZRxR2BbkekqZFeWsGdrI9SJGz1GalMyZsHZ3dofPXlhcLIZjXMRJGlfaTbQdsdOwgM0nE69W1b4DUUquRYKxWGpGnsZJlohEapvbxJxaOJjPotmks9NJ08Sz3OFpr1Gtj/t9eXjKObebNd6u6lnku97wtGtzkUTRcDSqgj1QUS2s4quBypP+YMBz5YQ1qPiHb+7VR9lJoN+a8B/F/XatznM1GY4a9/ZiBq293dNBD/LUHSeDpXJ3jwAAAQBJREFUXr8zUVMuZ3G0//Yb8XTuNKvcc2Sazb7/kTL5RWpBu97offAp912ltUU4Y0oT+TmmUeRpHuncb9U8Ll5NugczeDHueXPp2O7Uhf2x/JSinXsPPzz66MHOnpdC4otOpUoWw1wPp5OJBZVxqrP8nh2+WAw8zaAeDFTu285oNHpYaSZxTHFWDcPT2bDpBtoVdiVY9EZzG1pSzPJk1/KHacQd25bkCItXfA4YCRrLPEu17YhqKsNJPI8XLAhHqLXntsCaJzMReGmSpVouSOxYvg54bCNp3rIDD/I5ZnvMZos8lMgt+5HtKh+Z6wl/P5YZ8x3QnC3mjIHKBIwPnTz3HJcxVg0803MAAAEASURBVLm/awNj/TlEuZdaGal8NhS9+f08w09OW8wd2EH1/q5SSrlWPJk6pFFr266E9+6fzE/ULHI1mzf9R7wlbJy9OHwQ7M7kfEdUmCUEr7Y7j737B1o63LdaD57Izz3GP/0LDdchBg/39wDgftAGAB8884rX6hXGWLuzTNTiBy7AMq+ebdtGcTJpXOqN6mpSCWBlDFnaagGYz4jIpNYv5nmDZBV4VvH1zKy5mpFLWEQtyyrLUQzKM/mVVegaAIIguKhR3Vza4kzGmFGWb6KDXnxGG1cR0WQyMWr4+u6zWMCKM9dPgMI0sHaOEGJdM7u0aeuKwqWtNj8Nh0MhxHqyiUvlv0LWjgHiAAABAElEQVQRxzNDEUEQhCsPCVwzw6zfEZYr7lLzOPtl/TStqVqpmhKQy72vWarXZDjTWgqvGDAGAmCMrQpaEwAcH588fPhAa0I0ieYRlt67a21YqkhEpt80McaUVoVdBQGRsUazmUspOCetNWkAZMiMFFprWuIxuNQ7Vx2hNTCGmggNIoLAEF+8OHz8+LFJhaq1zrLMsoRJEMAYN94aUkpEJmXOOBdcEC2zZRIRkV7pqeg4Tpbli8Wcc8E5ty07z3MCUFq6rpMkKWqKBE9+87sWyRklbz3e1+2a9WhHCxA5SQ4MWZoklmW/8c5bJgmiAk4ASKCR2NfeHL88tuI4my14rcIBTaQUGZRVTwAAAQBJREFUaq0ADBBhvjHGznRIpaRURKRJmSGolcb1fmfANUAiqTuc9Qc2F9xxoF3l1UBnOfNcyYETUppzSzCOUislJQxmzBaTk16j08xJE1Dm247nKaVRMB1neZ7bQiRZ7tcrWZ4RAGfMPNAkzW3HUkrHKqtINRyN6mEtWsydwJufdLvPXoTElGvRIonmi9puZ/Lj5+DZOF3QYOpmes7JOmh1u6dCWOJHr3o8fZDaE1QnyfTz733hRycvGn4lGo13W52TTz7JZ/P7lXa3ZnmaVV3vk+efdKq1NIru2dV/1ntezShwPMmx3mwsZjPLcVQjnOvs8+0HP/7sE891J5TuB430g+fP3dtK83oAAAEASURBVCzIgIe+zW0mWE/FmVIPmx0r8NPhrF2pUa4G/f5wPlkw1djrRPOZnC7u3bv3gVRevc5Ct/v+J/u29eL0VcygWWvfO7i3yJNRGrM4Gg/Hbi10RpEK3NBxUyUPau0PP/6wvb/npXrU7VV22t3ZqO7XxvGcEx54YXc2IotTktncYooO0/ETv4Whu4gXSWhrJoJY5Vq2UiYF6ExNHe0q2G11PoZZaFdVf8IZb/vhcNSv+KHM0natMZxNRE5hEKRxLBkITTWwZoLGlp5UwkjLEWcucq1UI6zENuajCKRKbIym2SuWgvLiiugJzEZT17Z7TJDGvpZRHO/6lbkjuNaLnIJOPc1TQ5KKAAABAElEQVTjk/c/tmcJI66Q5Qi+sPseVSLNNUxbYdV189GsotC1bBuzKliZb8k4D10RZZIdDRzLcVPVyUX74RuQaUVEgeNoeFdZyU+8sfNdn80W9ao7T+LWjMBi2TR6R7n9+4FfEV6iThz9B+PdxGPgWNp2SUn5mKqAXDC1iFWUPnzniZTSiyRl0nm6mwZWLWdqkQrL0lLlvuNUQpXnPPRAcDmaOdUwGUyEYDSdWzuSASWCIwgQxBVq1yNbaJ1L37FGc9FsYOhmaerWw4xp4YV5NRBRxjWwTk3sNKTWzLEY49oRZk5UvRkbTVSek+urqi1Cvz/s79fbLJVqsmBCSCTyLG4J+dFLM0XPiAAAAQBJREFUcCwNxAlJQethmzuW0lp5tuO50+GIKZqddLXnVuYP4yx98PabtN9ytaDpbHx0iM96+Xyu/sLPJv/w2+6j+7V33l4cj5xqIFq16b1K7d/8BeY7ijNrzfK0vrRZlmVqa8JlGPzGQnZhFYP1X28e43gW1qG1LnKjbaMPEVGSJEYx3FKvIqIsyyzL2h7xUkqlaWqApXWp7qaVdrvdSqWyAVNdWkNjQ3dZX/vNqjmbzRhjvu9fZQi+Rm8rnl3xlVaZES7Vz4oUghvHiwsLfUtKOZ1OG43Ges9f0F2WBy82HNfChdI0JSIzHtYFWBd+3eJshuIyzxBhkiRCWJwjIJ4cn/i+zw4U9ScAAAEASURBVDl3XDfLMtuyOOe09GshrZeuAOYWjKGUSiolhIAl2ENpmlmWIIBBf2DMmkmaaqWQMSG44JbSSkrJGEMApRQyFkexlDIMA621QkjTTCnp2o4trPFkHIahEGIynjiuI7jI8zwMA6WU1uQ4tlHJkiQRnAPidDFnjI/HI8d2giDI8sxo0nEc+74/nU6n02m73bEsPhwMPc+bz+e5lIEfZFk2m8+ajWacxDKXQvDHj58cnxwLLhhni/m81Wr3+33P9zjjruvESdLtdsMwnE6m9+4dvHp1pLWq1+svX75stdpSSSml53pRFNUb9TiKd3Z2RqMR40zm+Xg83t8/6Pd7zWZrMBh9U4QmAAABAElEQVS4njufzZHh3t7ep5982mp1OBdpmiCw73/w/le/+tVvfOPr+802ea76je/svv+Rerz383/tLw2GvbAaylwtFou9vb0f/+ijyXTKGXv04KHtOINB/8Hjh9/7x792wGpdmYS7zWd/+1d33nj45I/8/kMddbxqmqQLmdTdYEBpxwq6va7tuq7nPv9n3/zCT331O7/6/775M199dXgop4uDZnswHxxUW4effso1qdFcz2IACIPg5JNPA88fd3si1xmjxWjSrDcWceTf38lPR6xWrb37uPviZUPy4XRSbdatTuP05avdGb2MJ29UW3wwHTqkPWvOdb1aGw+Grd2d+ScvNUKdPYAzVgAAAQBJREFUu/1sWtnrUJa7wiWGOskc1+32TxqVGiit61WcpoPppFKp9BeTp+3d7vh0iPmBtCOma47fyxfaFr6wA7fWknxEEWQpSeKuNaZcpKpmOSfR+DGGH6lZiKIm3OMaq0oWzHLPdbuYhtWKM05A86plDWeDwLKjNFnUHKVVBuwBYzPHAuKWklZGCepF1Y2iaNetsFwvsgQy2anV5WwBNs+0iixmRdJlYoJ5Op/t82BSEZwzZgmVyzpzIdNTm0YqRRvb6GTTBauEA5kh41aUdQAQ2dxDyw25VmwRs0ozXfQalb3xtNcSdk6YgUoEC20/dzg5VpApNZhYzeoY8lbKZSAc2/YnsS0htN4AAAEASURBVPQtleVikQsvSNMkI2WHvtI6zRIBXArku3UazrXNqzHxTHHbTmczfy67FZy79n6MVPUEKUugTHOuKXFsFrhqEfvMylDbts2j3BdOpnLhOXmWS8+CwOa24wgbGEsYZcOhcG2cxJYkZXO3VtWksihmjs0zqTOlbQ6CZ+OZrYV61HKBQ+CkswVTYGlSi7llWaRJcuZxdyDyRrsFJ2PYbeR5wmsN5vlWqtLRRFQCnSsKbbS50EznOVVcnUucp/juPXI9JRUXQille75MYj2Ycc61Y/FFypMsi+ZA2goDcAOmtQ5dxQEZI0ugxZnjaNJgcXAEC3yKEjaN9TzCwULNI9UMsRHxO47qAAABAElEQVSCYEyDVa9p0Og5gAi+jYIzYtrhIBUqTbmiXEKuUClkQFKibeejBav4ZHFwBOSqd3TaeXyfOYIYIjKTQYS0xqXb3AqXX03+RTafiyuacdJarwxULGfFknHO1n7mJXrOCkFEi/FMNOoOyA/+vb/kfvAsTanzF/8M/m+/qUSOs9R78pbzYI/95Jvs597RviVgs4JnYe4ggizNhGWZVe6iprDuTXS9rmLONJWgXu/VUDQ4z3NE3EjrcAfDollcTXgBXFAC4LI1fkPK9aV9Npv5vr9hkTQn5Hlu4KvCZFncy1y+rgqYEhNFCGuhTGRZVrS6GAGFKlOoC2YwSSlNu/r9fr1eIiGR1QAAAQBJREFUN/pvYZpMksRkcDYDy5iTsywzxhdTb9T4YURRVK1WpMyVUuZXkxfASGLuu3SFYSzPM02acw4ESunhaFStVk3xVCllnmej0dAkL3UcdzweV6s1I61WijGWpCkR2ZZFWllCKMDZIg48B4g0adt2LEuMRxOlpOPaUsp6vW46KooipZTvBafd7v7+3mg0rtfrUbSYTmdhGDJEqZRSyrFtxnm/339w//5oPPJ9X2udJGmtWn11dNRqtfr9nm05fuAPBoNGvXH48vDhw4dxFKVZdnBw8Omnnzx69Lh7ejpfLJ4+fTqdTpuNxuHLl9VKRSpNAFzwjz/++Auf/0Kv3+OMM857vRjSK78AAAEASURBVN7e7u6rV6/uH9wDAK1Vq9UeDgedzs4P3v9Bvdms1WpRFHXarWefPXccxxIiy7LOTufZs8+CIJhNp67rPnr0sNcf1Gu1F4cvXN+P4ziO48ePHo1H41ar2ev1okX05I03+v1es96YjCdKqWazeTLsdzrt99//YafRFIwHgW877mQ6qTfqzz59tru7u1gsRqPR59773PPnL5qNRhzHlm1XK5XnL553dnZPur1qtbpYLIbTsW07w9Hwwb37n33yKQC8+eabw+GQMRZFUbPdfnV8Egb+bDaPk8T3PNtxOp12HC/SNMvybDyaPHnyxnA4BNBhJYwWUbPZGPYH7XZbSmU5dhzy4PI9AAABAElEQVRHcZIgYDSLjMtqWPGFEGa85XkehiEgJnHk+x7jrBJUj1+dIsMszdABRIyjuFKphH6olD45OT44OIiiCBG1piROwkp4etqN0rjd7gyGg8D1dprtw//u7+2m2eOf/omnf+5PGWsmIiIyAIrjdDgYBkHguO7ioxc//Bv/q98bH/74O8HeQztoUs3LBpOH77z5Yjys7uzSPMFcZZTnkzl2qsNej7RuO0Gz3Tp5+cpxrOjwuFKtaZsfn7z0OFNZ7EjgljXnUBG2k+YAIGzR6ezFk5lLLE8zqnqZxZSUVqqcSiUSLEtjpSXjTCCrJDCGbOGyINXCtgLFPI3tSuNFOpEWkzInL9cpfwAAAQBJREFUhKrt6XkMWc59l2UyTFUqM2pWXsmIPLfBHbs3Z7WKkOQx8em4G7zzlj2MbZWO0qnLeAss5dmac1czAi1dLpWC0LWF4yCPHIhVClLXlHBchztOLNB1/UhmYQ4ySy3PjWUmLItzJmw38ixRD/ksUXkuCLhWoCELPb5IpCW4hUxJkmSFVTWbWRKAsbzmLCZTV1ieYpJ0TsoOfBZnKoqt3SYRalsIFDRbaFfkSSJSSbaw6mEaxUjoNltKyVRLTGIGFJGqtBoySox7GqTaDgOymc4JSBNqaDYwWWjX4UCYabBslabIGGQKBVeuwExyzmXVTQQEXg0tgZwhEUPQjKk0RUUEhNmxvz0AAAEASURBVLkiiyEyLjUIrmSus8zyPW0JAgLBKck4FzRZaEsMe8N2owGOBa6tGArLIpszRLC4VgoUaADuWpohJ6RVdnuyLRIMkTEmNAISaJmTVEII0hoR9DJ6gAHnQIRaE2lUmqUSA18LhoAagRGAUqAJtIIiZT7hIom8IDD+jAQEDJcrCwEgKCIOgIDnyrIbgzmu4lTNMk20iGPfdZEvQzoIV5pKkTwZCyweyLCk8zxXlnyp5GA43N3ZQQ3AlnETSwuBcd9feSkWNgI0Hg8GVjC8EElrbex0toMMzzwmaOk2Siv3CcRlzCmsaTAbbh5a68lkYpazDTjq6rIHBRJB64u41vqk290KuduZAAABAElEQVTd3Vdazf/a/xz92j/PWRD8iT/g/OZ3dBIJJ4Cf/WL4r/087FS0IxgAg6XysKEGrFQRkHluOw5sh5wRURzHNyxdfdYFWus4jgtsic78S87pUusHjVJidKCi06WURSoNzrlRO0yIABGZVEmmKFMURQCQZVmv19vf35dSuq6LiGmahmE4Go3MQoKIJn+34zhKqTzPm83mbDazbXs0GgVBsFgshBBGn+h0OuPx2CQPOz4+fvTo0XQ6NfVKza9HR0eVSmU+n9u27Xneixcvnjx58vLlyydPnpjw6Uql0u/3Hzx48OGHH7ZaLaN1tdvt6XSKiOPxmHNuBLh///7HH3/88OHDdniCmwAAAQBJREFUly9fGqPy8fHxu+++e3R0VK/XoyjK87xSqUwmk06n0+/38zw3mZnDMJxOJ/v7u5999tnBwUGe58+fP3/vvfd+8IMfvPXWWy9evHjw4EEcpS9eHH75y18+fPn88eNHg8EgS7NqtTGejPf29o5eHVmWJSwxHAx29zqvXr16+vTpp5981mq3geDF4YvHjx5Lmbfa7elkIixLCBHNZ3u7Oy9eHk8WSehapqsRIaxUppOp67kAylR/klLu7+/P53NE1BqHg6GUMgiDeq0+nU2TOLFsy7ZsrXUYBgCgNVmWmM8XwhKz6RQQ2+12Eicm/CSXues4lm0jgOt5WZpKqRAxl7llWbQOjjcAAAEASURBVEkct1rto6NX1WqtVqvOFwsEtG17PBnnUrY67cFgmOdZtVpN01QIYduO1irPpWPbSBTHcbPRGAyG1Wo1SRLXc497XQbY7rQ5F/1+DwDCMCz0b2Nwj6L45OQ4DEPDNvB8AzUvomgynZiEHa9evdrb20uSpN1saSnTNPM8T5G2LGswGHiuG/hBmqWLKJpHCzNOLMsyo87zfM9zX7581Wq3wiDs9XtGz2bA5/OFEHwWRaPRqFKpENBsPrdtazAYBmEQRzEihkHAEJXWju14vqOVjqKo1WpPJtNKpZIkibC4lDnnnDNBBEEYCsaQiDG+WCyAo207g+HAc13PtiuViuPYUsrrRePAAAABAElEQVT5fEZEruslSZamWbPZiON5mqZpmgrLHo3HtmVXKhVucwIaDUekKHCDNEu11vVafTgaEkGtWpXmFc5zxZRt21mW7dSbSKr3939j3utXO+33/vy/5QE/8xAjmkxmw9EwDMIszZ7/49/e/fjYOjzNj3rVSlW1q9BL8jh17neoHaJSjubo2TScOo6dcQStZ6GoMlsOplprVrFhsXBSFEF43O82/FDGcy6EYuD4nowiv9kGAOJinqdus8Zd29J25lvWfke/OFE65Z0Os5z08CVLU2EJDZBYaANPZjOnUqHAEZWKjhIIPKdR1+O5SmZaKV4LgTPOLUDI81xYlh7OEVkyGSOBrNOvywAAAQBJREFUjUzLXBFgxZOooVNxrEoeZzbL81lm10JWDSSRaFQpdBkRcishySq+WMb8ITDUAKi0ZMQDHxgDBOJ8MZ2HrkuO4Ka+lSIE0kgaiANbXl1EIQBqpYhz42+OtAzcIwRUkOe5ZdvGkG9SThADBFDL5R2Rlq4AZGy4JpCQiAEunepg6TOXZaltna0umjQBCM6NZ57JzMFAL1c4RAKjfSxD/4zLHhCA0q9evnzw+GGxquEqIaVZGwtcHIqWmoWzWAVplUUBz3bRDI03wLmV8mKw1IaKUHyNomgwGBR1Cy6NsrqJXciIOp/PrzGM3JxMST2z0m3JCgC01qXkItVaK6X6/X6n02RYsaYAAAEASURBVLnG+FPoPRtdffHr6enp3t7exb7dOHPj4PotYIUQZYwczTNNyV//u6O//+v2OIK3HvNINh7dl59/IP71PygaISEQQw7I1mS7KLBJG1mKBU8ppbW+3rfYEPb7/TAMTcL0IAjG43Gj0VgsFlpr3/cnk0mr1ZrNZsa2OJvNWq3WeDz2fT/Pc6VUpVKZzWZGbTKXjMdjw5Bz7rruYrGoVqvD4dBoOZPJZGdnp9frtVqto6MjpVSn0zE403Q6bTab4/HYEnYYVnr9vlm8gzAIg8pkOrJtK47jMAzDMDT5SI20k8mEc14Uq3rx4sXBwYG5teu6pmkmqLXT6SRJ0u/3DQzw9Only2C9AAABAElEQVTT8XhstD3G2Onpaa1Ws23bNH86nfq+X6vVlFJAjADyLBsOB81WYzqdVqtVo1wax2QhhG3beZ6naco555znuUJEz/UI6Pj45NHDh7mUROTYjtZqEUWe6yqtkyS2bWGsWmma2radpmmtVlMKDIKVZUkcR47jBEEQRxnjLMuyPM8sSzQajTRNDOSWpqlSlKYZACRJXKtV6/X6cDh0bPfk9FRJJQTf2dmRUiFjx0dHe3t73W5XqvzNp28AIhFFixgQszRN0sTz/Nls1mm3kbHpdJplWaPRsITRbCLOOeOMIfM8L05ipVQQBMPB0Gjelm05thMncRiEw+Gw02lzIeIoDsNg+IKpkAAAAQBJREFUPJ5o0lmaVaoVE+elpKrXaycnp/PFvFqpLBaR67nNZtP0pMlmLKWqVivGQoqItXptOpmGYUCaBsNhvV4329DFYgEInIvJZLK7uyOEGI/H8/mi3qi7jkMAs+k0DEPLsrIse/78ea1WazabiMg5aq0tIZBhkqYIaDu2AZkMUMqQ4domlYj08jMR0OHLl6ZQ0rJFK9dGWkaEnbmQF18JSEpl21aSZlpTlmUMWS7z4WBYrVVd10GAIPA5ZyZmUElp6lUjQ8YYECFDrdRyjWDM3B1MuO4K9yUi27aAQC9BLFy6xBGtFmJiiJq0Uspsv8zExBlftkCT0rrfH+x0OsYujIiMM8YwNrgAAAEASURBVGNEJlolEGeMtJ7+yn8Pv/OD6HFr/6/+OWjV+Fo2iSRO0yzljKcgXQV4PHRQaKm1UpTm+W/8wG+10nd27VZVJ7FwPKUVt7jKJSMgAh54MkkYIFU9sIXOUkxyQpAM3IrPQMAS4lCAwFwXANB1NGhEBgCEoIGQISpauqRpwCVOgESaBAOAKI4Dz0cE5MyE82njGGogh0LdQURESZoRrCAEQgK9NNwAEUmlbGEBLXMTGO1k6cG31HOAiNgSHVkDCRBAwzIkgICIZvNZpVIx5pQixxOu3CFX9wSDVCx3yKt+NxU4C/jE7Af42gq6HNVr3w1KgIAm38GGxYhW4RH9fr/VapkBpc0kAAABAElEQVShuJKbVqndllpWkZ7NCL/0hlzaIpZBKLmUAGCfE2nlj7E6svpSpI6Ac96kxnMRiABOT052d3cvpptaB0LWqTiyYcCRUkZRVDhxF2acjQtvopwBgClSvH3wu0FPyiphZzSq7XMAGSuZWYivimwruu7s4V7R80ZlFEJcVINeq5wVtzBslVKHvdOHnQMJSv71v9P9339LpInX3refPsA/9FXn931e74YCyHj1rj/cgtu6bEa9KaWss1GcjOn2+pNRSgmrXlssFkEQbHTceoPN1mRld9t0aSooz3NjZzSFIw3NZrP5fG7scZZlOY7juq5SSkpprH6z2cyoca7jV6u1OIktNAJjYQAAAQBJREFUIWazebVaRcQomucya7fbZtnGVc1N27aNMEKILMuklHEcG1WMiEyFCiGEZVmmqrQQIkkSo82YJPjmqxEgDMMijRbnfDabKaVs27GETQSWJaJ4wRhyzotXLo5jxlihnJnOEUJkmURkDFmWZ7ZtW0IQLXeAjC0DmuaLRZqkfuB4nmeUD8dxVhs1phUxhlLmWZ66rovI0jR3XQeRcbOZXXlxmR7OMhnHSRgEQnBTgJmItAZa2Uk1aQQUgmd5bvauJlmfUY61AgIwG3RNWivNuck0uBpYAJbgSunCF58LRgQMQesVvmym8lW4uFZqNB5zxqvVqlE1Vlvws8l3JScVIwpX2Sj7TZsAAAEASURBVKfYchu9fCeVklwIowMhgF5uoJeymRn/PB6+wumLzfcKo55MJrVaFZceBOeq+Zpe3TCjX/OyPXv27PHjx+ezPl5J6y8LmT5bpWIiTUTAOdJlyPk13ArQen1O+eCDD955550b7tcvLj/r3C5mxlmBFkirZFAJQvo3/i/5d35VRin8mT9a/ff/mK8ZrMI50zRN4iQMwzReCNuyLctoi5o0/fCVGi1UnNm/73MYWox04fsIJsBiZSsBIgZL5UohKq2iOAqDkOMqRsQEra50Hzw/fa23FFbIRwGKmM1YtVotcu4UJ186h14VfgsrD4qrChvfavOttR4Oh9cse7eiwWBQq9XBRDaUAAABAElEQVTuXI9kvcmm0N/6qDBTkPm80beXQiaG8jz/+OOPP/e5z92tRRuyGW/Ri2N+A1Z5LaVpOp1OO53OxVsYuvlDNMhZEATbgy56RaXk1zQPsRSVkYiiKDJr65bciOjw8PDBgwe3Rc4unqy1Tkl7zJKkJv/Ffwu/91zOJ8EXPj/+/P7+n/rjyreFsTyvvcWGLqJ6RBTHsWVZ23dXweomeezPVjKj8RgXqG10c1pVsTSzwPr0p1cFlM6CzFeTYGHrLCQ2MsxmMxMaWfA0iGWxd9mYeYvmLN26V8l5TRGhq1p327e33+9Xq9XtXxKllFEli6QAW3JLkmT7fCgmeCKKIgMobs8NyolaVwAAAQBJREFUbpbU/hoyg2o4HIZhuCWqb571ZDKpVCrbZ1cxL5txNNyGD6zs+5fVjbmjVLZtl2JM6Xa7+/v7F38qXm0FJBRLo3jxF/7r9NnzkQ8P/spftN9+YLGlfS2OE84Y43w2nTquEwQBEGQM+Did/PP3wzfuLb7xfe+X/4DDRbEXuIlfrYHP1ycTOp/I8LXvdTH/SimzLDN5s7d5lOaOZkiUkmpnOp1WKpW7sdpYupIkMZhEsRpt+GXfsOFEdHp62ul0XivVpczXH4rx4i1F24BVqp3tuz3P816vV0pNNgBIksQgCFvyMVYLg55sv1jkeT6dTk32h23IKHmDwaDdbm8/2xhuN38YSJ8AAAEASURBVF8NL1XOzADTWh+e9h6392KWyl/7tv7ejy01HX//dOd/+st8We/0ui13MW6JCAGTJDNGIYZruMLtyXDO8/wmPmfntvul4KWwyvi6/pkxZpxybNs2hSmNNdCyLIM5FS47xfkGEigQzg2eeFm1BFwVpWGMbSinjLHC6f6iwJdyu4aopGS2Bf53PdxyQyKixWKxPR9EtG270WhszwoAptNpKVKZEbI9H0NlWQcAYDAYlPL4GGPtdnt7PoZGo9Frz1mfg64h47L5mjMJWOg6f/oXedVp98af/Uf/Wf69HykipQmAPM9xXNuyRL1esyzLmOyYkqo3qjiu/H++Lb78xGZs/QY6xU1SAAABAElEQVSX3rE4uL7rKwhxM95qdVXxRwWHdVbmf1Pt6tJRsX7ha8ksMFc1YYNnsV+9iu4AdG00rTgyHA7XG3h9S69vcr1ev/SE66+99GC3271V664hExh+8Xa3enwAgIhl1cErkYw+EUVRKbONQUNKkYoxtr2SZ4iIer3erZ7UxWEsc6mUBgKfM2VpF63gl37G/bf/OP9P/mzrr/x5Tuc2CedG69ksAVpTtIj7/cHJ8elsvkDGlFK4ecFdGlgEMr6WzuYyIcRkMtl+xSIiEwK5cRxXBOf7tPhwqbJV1AfcuPa1cuIawVroZSnkeV5Z3AaDQVkJ2BCxLI1KStntdi/1hL0t+b6/2VHQsgAAAQBJREFU/c7YPMQgCEopKkVER0dH2/MxtL+/X4qeV6JUuAr7fe0dXzvFIGKlUrmUVfHCckASJBDcn/si+/1f4Y+ftFL78E/+p8//7F9Kf/s7cy1NyTsAfdo90Vqa4nfy2en8f/iHg7/6N5PTrvPOQwZ83Zr72tWd3Sw74OrCM/1snVXRBDNpXrNDu/m9zEb0qiZc1ZyrTphOp7ddBgq269oqEa0X2Li+pa9dgfr9Pl4WyH9hwaNit7x+QnF3sw+8VeuuoY0KIuvy36oPieizzz4rSyoiKkUNAgADZJS1qyxRAe33+6WojABg/IBvePKlmkCcZC+evyTCSrXGAJEzzpjdadi2cMbGQqIAAAEASURBVB/uMMHW3/pimBOB1kAEWabGo8mzT59/dnh41O1974c//Pq3v/1rv/VPoyxdVfO8u3IGK7X4JpfzX/mVXzGf8jw31plSUNP1N3AbJgBQlsmvgKm2p16vZ4otbMlHa21sFqX0uVJqPB6XYtYEAOMXWAp+DmU8RCKaz+dEdLfZfP1l0FqbaG3YGi0mIhNbUIpPCWOsrBoPRVHa9aX64mmvHXhGPzBSFXzWp6dzmy5g7tc+l3585EwXyCz1yfOP/+bf4t/7MW/Uca+pGXO9IJnO5Aefdf+Xf6T+3u/ojw8Zm9m//Avi6T1jL1iTBQGQViVqLgpMK4ewtYV/EyRbZ7X2GYh/puKkAAABAElEQVTOOSOaMzfSdl/sqKv68GKP5Xm+Xr3gqgsv7lQ3HpaZRW+7Hl96R0Q0ceuFtwmZEEeAonM2dr+XboONmm5skabn19e5i9cWlxfOeRsHTfqhm7fuGur1ehveXWcj85Yve71eL2uxyLKsFLMmEZlos1JKIxLRcDgspSaQGQyXevHfSh5Ds9nMZBK4w+UAgIiT8fTjTz6+d+9ev9+vVipmGqG1Mr1n+wpCAFx5UKNSej5ffPDRRx9/8qw/Gj5/+YoQNbDecPThs+eHJ6/a9Xq9VqW1ZKK3bqAGk3aAsdcj4mflm0wU26165CoqkpxtT9fYGm5FjDFj+y9FKhMTVAorUwmqVM0x3gAAAQBJREFUFIMdIpbyshmXFDODbz9DFXG72wu2pV+tXiXLRcRXr14dHByU8hBNMN32fMpFEcbj8Ws94W6oaoRhePHgRSbmIHFR+wv/xuL//G3/N75tH3drDx7EH56e/of/eSTz4O1HM57L5/2qcoJmK3jjUfKkyX7xlyp/+GvIOG4iMVdqM7CKhFhPZAgmquI1dF17rxnqt3q+eMFH4tIZ7FJ1YWM/XYBwW5K5ywULKa2prZcET1xFtMopfY3Geb0k66ym0+l6+ZBtaAN0KT7f4fUcDod7e3ulSAUlea0AgG3bJda5KcvMAgCLxaIsnxPjfbQNh0ql+vDhwzyXu3u7ShEXCBeAdm+PkGIAAAEASURBVCJSSkupmYFsEJWS8/mi2+9P54v23m6WZrnSQIiAn3vr7Wa9+sPPPvv13/nGL/0BsX+noszLuyMCIdxMo1mqUFprYwotZZkhou27GAAQ0WRH214kk5N3ez6GXr16df/+/e35IGKBnJXCzcBU25MJei0FxSki0rckRDQpXSqVyt0uL9Y54yRR7PW3kYoxVta+HwBM9pZSBsO9e/dozTPS+DbdxMt+wwIFAMPh0ITcb1xu5rtzFk8Ezhl4buVP/mL2R39Ofvcj+s3v4Lffp+Mum8zDbiYxy+/d260fQMWXX35c+Xf/GHeDpXZwLn8CmEQQsMLDbiL2eenO0DKtdaF8sMtuCGQYAAABAElEQVSSGBVEZ9UptiW6Tc3ci2KYh2VCfAwCelVg2g2ZGwSumEtX/VDU9rgpW3PhZDLZyMJwESTb+OlSyRHx4OBAXygxsv6MbtxQOD4+LmVahlVJxFJoLQB/K0LELMuCICgFrQCA8Xi8EZF6Nyo289swKZ51s9m80zuIAMvKtUqnJ0f9VrP9/PmzJ4/fWObPPTNwL6eaJMkW0SxaLIIgDMOKUno8HqdJksVJ8+FDx3G++oX3SBMAaaBqPVyk8pPPXvzW733rX/2j/5LHl5l6by4fWyW093wnjmNhXR7NvU5nyJnJCnu3le+iHHeb4DaG3aVJge9GJlvm9nwMXZol7w6EiFf1Dywx+gAAAQBJREFU+aXgxPVkksSUIpXjOGZOKQU5I6LtxxURlRWtTWsVxrbkprUejUalpIUEgBIDAo6Pjw8ODjYsXOt2SXME10xvV5HruneYLoUn+M++Bz/zrtUbw9/+v/HVIM4SP/TCpw/8t57gFx6zMACbc7jR1uvSBWkjlQNcBszcUFq8NiDgtrShi1zo7XMyXsWEyISRKq2pYHaNkXRDgIsHF4uFeQ233+7u7OzcmckGgHF0dFSke92GGyK2Wq1SHh9cC6Pelkxo3vZ8iMj3fVPPcPtmGvhze6kMVSqVm4+Hjddh46fRaHQrlXFloASiZVI/KWW9WUeGnXYHlwmQN/UorajX7392dKprNZwAAAEASURBVJKlqdL64b2DRiVExL29XRTWaa9PSu11fqIQ8MHu7mIWHx8ejceT45PTJw8O4Ly7xc2ljaLohvv5cxOu67plTU93UM6WNtm18CUT4r69MLBKvVYKKygvQA9WkMbFrdWG98lNiHNeloEgyzLj87s9K8/zytJd8jwvBRo0e9DXBsrdkNX+/n5ZobuvXr3ano+hAhpcP1gcufSnS+GN4uD6YNjYfeFalDRjsPrjHBkC+2w2/uyXvvTql396+O/8Uv+Xf876k7/I/4UvWo2acLhYunwQwMU/tvq73DiFiEmSrMt/aT8U7SpkXjc7Fh+MJ8ZNkg9dT6ZjTb7DjePnv17qG3dgagDmAAABAElEQVTWOABGBFqBbTnr2OFNRuxVzr7Gz9IM+wKcu9s7boqpXCPARmT9xgnrAlyaB/WiafgaKvqkLI2KiHq9XimsAIBzXhYusO7LuCVt7xFeEBF1u91bvThXDHsgonq9fgegcRlrCQQI0TydpLNZvJC5Ukrj2u0MiI4IWZb1h0M38L/03nudnc4PPvrRxy+etzqtdrMBOn/ZHUpkGjQAmX7SWh3s7wShF6fJjz76SALRzXaVF8nzvDiOb9L5Z1vPAqbaXj8z29CbgxxEZGpTGHyLc+7YNreEUroseJlzXpbJD8oDvc1m6FL0HhEHg4EJqLnh48jzPI7jUvQzy7La7XYpb+9s2fIH2AAAAQBJREFUNkPEWq22JZ+yphJDpaRwM9Ttdvf29rZfGIho+4TdBc1mswKHuzgP4mWhdleRgZReOy1cgOVIKf3xJ599+tlzEDxVyolSyrNmu804t4RwHIuu230aJle6DRk35BJHhUkCXsoCzzlHUxTxwgxe7LmWXyUhx/WTCpQTAABJacXYHdu4AVEMh0OT0PuqM2/emRuBflddfhOGg8Hg0ix6d6CLmWPvTI8ePSqFDwCYwoOlsNJaF6nOtmRlrAdlGcqME8WtrrrKYXE0Gt0iMQcBAGZZ9s1vfavZagdBwBkfjEeLOD3t9aueqxmkSeq73nQxE5zXajWLWwB40usdHh5+7Wd+X+kRZ6wAAAEASURBVKtRr4T+ZNg/Oe0OH04ZsCTLXc8WHFfuFgREQogknfq+P0viXMltel9KaXLO38KsKYQwpbtKsfXcyvyUJMlgMMiyjDGWpmmlXnv/6z985403d9udnG6h5F0vUomulL7vl4KcIaIpWnXpvHbb5DGc81ICAohISimlvOgJfgcqa6tXKLJb8jE7B1OXbHupYAVIbM+HMWYSbW/PClZF3Iyb0aXK2brMV20PDNBSq9Wu8v5ZP76+QpubfvLpJ88OX82TNAg8lwvO+fGgOxiP2s0WEUmpueBgKhataN1JDgDYMufjpopmfjVa4/WO/DexAOItQ/mu5wYACAyRFV4ucN6Tz5ymbtiHAAABAElEQVS4vEBqUAwEJ4SzYkirDkEEREIEk+rxtsIQnbu10cyKx3rxzJv3wGg0Wt9IXHr5VZuf9Ydigui32SatcyvrTYQLDdyGDC5QltJfIuK1/YbZkNa61+vdvLuueStvhZguiYhzMZ5FX//Bb9m27brOaDScKxG61n6nMZ8t7u3sPrx333bYZDqbR4nvupYQKBhY4rTb2+20Asv5wtvv/uY3v/nPv/Xtn//Jr/WHY79WcSyLwcrlgyjPszRJJpNJJvPFYgF6WZ32tlRMjzdp49mUkef5HZZ2Ok8FZn6pnc4s+esnm/NNXjQ7DLuj8eHJ6elgmOTyZbf78eGL7qCvtQZ9cQt66u/ZawAAAQBJREFUOzIL1VYs1qjX65XlNbwsUXcZFTPpDbkZ/6ftpbrtfa8n13XL2jiu57OlGyTwvJSMMcW4nZbSxjtkorpKMJMw/bVn3qThpha7+bzxQG/bb6enp5eizgUfWhXtMKu+UnoyXvz442ffff/DD58d9oaTaDoXyPZ3dv/FP/SHQCnBTF1qBAKti5hBBMCC58YINHNF8bVEwKwYSCWOeaW1lJtbQa3BGCdW+qgG0GAzxTUwjWiOKCKFa3QRHbz5yN9o0Xou6Jto51eRMXSsC7BN15WFdQFAt9st5U1kjJXlHwIARFSWpcWYNcvCBUpZLAyrO0R9XTqMEfHWiAACY/De597Z2wQ/qwEAAAEASURBVG0/efxgb3fnjadPK2GlUqk2640333ja6nQy0gJZ4Hr39vbqtfruTscCdtDZ6Q8GJlZgd7fdajaGk8nvfP1blUZrPhzvtJtF0VkCEMLSmvb390PP393ZIcS7mTVplbXnJg/xDJSyLMtUvbz5nQp/qfF47HmeyaPTaDQ2kDPzMud5Ph6PpZRBEFiWZYp8m/KfQoh2u03AmpXaaDSexQvbdo6OT6RS+WncrDfqlW11/OKOW/IxdP/+/bKiuobDYYlu4GXhLriKk91+uZrP54yx7WM2zXu7AaPeTUIiGo1GJUaSl+VzZqwMNxlar2144We9ftrdpnVTqOfSO9Jacc/imMw7YbleAAABAElEQVTVBx/8+Kh7Gmd5nKQPH+0rnfbGw5fdk8l0tNtuN1rN+/sHAKC05pwRFULeNAjG3LdELPwuW/ariTHGxVVPEM81k+GqzPxSjHUY7847kILbxpHiIW78dKuG44Vk13fuNyKaTCZlTYBlYV3G56yswM9SfFsBlql25vN5KbZIIiorjh7KayMRzefzW2THRQACROw0G199771GvZFm2dFxN8+Fa7Gf+6mvCsERAZGR0kuPUiQAFJyfHp2g6yZJWvEcBfATn3tvPl589PJQMWCkHOdMVUDEPM/7g/5sOgOCt996a3Xvu5CU8ob+GGdJaJMkYauqsZe+1Vrr0WAwGU8E54CQSkUeAAAAAQBJREFUJMlwOPzwww/DMPz0009NIrHhcOh5noGpiolGSrlYLMbjsdY6SZIsywbj6WA4Ri6iKOr3ui9fvmw0Gr7nWoJXq2GzVq8GYZpnfhCkUWoLVq+HiOcyVN6WTJKzsjxGj46OwjAsJa+g1rosYMngkaUUZy1i+LdfrmzbXh8M20i1WCwKBHRLeC9NTS35EsCSol7hlny01oPBwORyu16qm4hdpIVcdzxap/WT18Hviz8Zb4eLUhWw2foxRJZk+WA6k4JFadyqVh8c7DFhE2EQhGnOBuPpN771rUajUQtDzjnjnDFkzJjwrnymBSxXWGkRsaz0nrAWRXXD8VCAbev+9bhKabKL0V4AAAEASURBVJtlqWVZnJ9lqiQi41xskmFeTEpy6dMxPkZmB7vRFXcYt8bBoBQdtN/vlzIBAgBjrCxg6Sa5/W5CZsyXmAPoeuP7zaWKosh0+/ZP0KhBpWzmDQgXhuFtVfyLw7hwJL05K3OybVutZsP3vWol5AAngxNN6NtOu1njnHPOuOCm2wxv27Ecz+31h/VatRoGSqpXxyeRlLbnD4aDeq3y6NED17bMs9NEL49Ofu9b3x3PFxbnj+7fa9Wq7K57EmPmvom3z5lyhisv/quuyaX8xve++933fzCaTGbzORF9+umzJEnTNBOWxThfRIvxeGxWdNd1DSsCiOP4B++/D0QmdZaUMst1tRADAAABAElEQVSlUpoxlmWJ4zqcW9FsWm80i6fi+36Wyx9+8KMwDBzbCnzfsrdSFBhjpsT4nTmskxBiy4TIhsyEXlbCXqP4lpV2qyzdZbFYGFeqUiaUshJkm+quUIaB7OjoqFqtljIYTNmJO3f7uh7W7XZ93y+S61zK81JXoYvTpdEPLmbju2SvTIAIUkNvMCSG0WLx4N7Be++802nUOs36bqvZDOuh7z97/sxybU/wZrPB+Dl3d1zhcK+/12o8lBXYcfMdLVzbdcY8bVkWu1Bg6qrWrV++cRdTuGWb8VBca3bOpSzt5nUuZcz3ej0DBZUy1ZTilqq1Lkv1BIA4js1g2J6VqclWVl7MnLnmWgAAAQBJREFU6XS67si0Dc+rwtpuSMVAJaKTk5OrwlZuSErq0TxO0uxgp1OrhlcJNpvPv/Ht7714/vzg4ODHn3wyGE84sN32ziJJZJ6BVvu7OwhARKenp9/89ndzTVLqt56+8d67b1ucA96lx4gojuMbrq1n65yBzfDqaM04STQwDazWbD1/+bI3Gmula9XqbBEzhrkmrahSa2pgSZoVmyFFGgQnhor0O2+/bVZESTAeT/r9gVTpyXjcPR3+9OffKm6NAIh4/+AgyfIff/Q+on744MEtU75tkpl57379eZrNZmUVeRwOh2UFKzmOU5Zmlue5UqqUgABEdBxnewupwfO218wM2jGdTi5WngQAAAEASURBVBuNRilIalm1NQFgOp1umaup6OeivOM1i+i6d9c1N71+T3zOhR8BAPM8XywWw/F4r9V++uBePfSwEmgixtDzevcf7X764tmLZ4f3G82nT3EZAL+iWylnJufTlX1xMzJtN57pN7+qaLW5vPCHW9eP14+sp5ZYv9B8viqhIyKuZ469LW30ZL1eL2WgmlmrFF8x4wBaivsEAJRi7wMARNwy+9o6mbT+pdT6y7KMiEoJsSIiU73efN2SYb/f32Y8rE9E2z/E6XT67NmrSqUSVoKrlgzG2L2Dgy9/+UvdbvfZi6M8V2mauw5jjJ4+eXxyfDxdpL/xm7/z8OGDNEnG05lijrBDSHxeAAABAElEQVTo3r3mF957x7UtWAYq3ZrMG31DDOVMbtOMa94Ty7JardZsPh8MBu1mY293FwDarbZWKs9yP/Bt25ZSxlFk/JqXyAQgEIZBBYiKjSkn4IzNFnPHsXNFqZbc9pMkMSGmAACa5rPZj59/wgS/t7/vOM42Nk1Ym/RLoSiKyuJWosNZFEVZlpUShGigwe35GCoFgQOALMu2r8RnRnir1ZJSlqKcnZyc3Lt3b3s+UEaiwRV4A5Wwisg2VAS8kH4WLizhZ19NMgfA09Pu/v5e4QlXnHkJbkQABFEUJ0m2iKI3Hj5o1OvGrxYRgbDVamqp337jye9+85vPDp9/8Utf8rnH2brkRqRuXAAAAQBJREFUlze/+BVW6jUAlJKNs+C/jQfbep+Y5fOGy941QBqsQLg7D/gNtuPxuJQisGa7tSUTQ0S0ZYjlej/3er2Dg4PtpdJal7VhhtXCWgqrciGGwWBQSncRUa1W22ZBXB8A2yvrYVAhAtu2e91uo/rkKlZC8C+9+3S42/5nv/t7klmu5z9+9Hh/p+O4Vs13D49Oxov0+Fv/X3Nf1uu4kqSXSZFauGnXWatu3erpvt2A7Yf2iw0D/g0GDPj3zO/yyxiGYfhhemDPAOPGve2+fetsWqiFEilSFMn0w1fK4qGWo6OMATqqcCBRZDCZzIyM+CIy4p90Q8/zfBWEdUP/za++H3TbSNvXSJ8AAAEASURBVG1zon3FrjgIhx8L4S23UH6qVCqr1eoEwtyo1z9/+Hjd7QVBOOh3rNdI5tcPVaNeNVBO8WtTGJtOZ1G80ZjwPK/X6+V5vvLDMFzHyUYz9F7TbWjan5++GDrXdd0wjDTN/vjTTxljn25vf/rzT1atoWma4CrA2TeBTkJ3d3dUq4KsjaNOCDNS54MlgSR8jTGWZRkyuyjy4ZyTeA/ByvO8d4SdniSqHemMMXT7xZdjTGKYh+t1MWSwqASU5MJR5ezrV3Z3e8c1to+p7ytngnGRsyzN81wYtZprO9WKnnOm7eauv/CdhtVttTZpsslSbz79zrwHKM53AVsHVfmScobSRoQSSGJHAAABAElEQVQZpGQo22VU6pZiZOSb92UnN5QALFFvFWOMJD8WqLRb82LCTFQMvZfDkrBwy+Pj46dPn9RZMcaojEBN0xDPTfUSB4NLakTukxDC930V5KwofIIgUPTYWHbjV7/6rlqvXF33jnkCOedMCNuygnV0dXPHK8bHD/e3V72qruWCff7urtty/vCP/zz2vE673TAblmV/vL3+9eePFY2fWIH2xcjBW585d76t5Uilcextcc65YI7VcMzGVa/LORdMHHxyznlRMeQ5a9TrvKLN54tuGG1zjwnx8PCoVSotxzWqVddxmpbtr1ZBGK5WgWWZwTLM0+xlNDR0vWM6tuuo6xxZlhGWC+KcvgAAAQBJREFUS6PKksWJSpVLItm/RjX5QY7jqLcKinUQBLquqztboXcSLlRUS8Jms6HI1ssYY+12syhFdnrbK+/bvpZ2aDozb+p1Op03I112zHkYrX9+eri/vdJrepRsq8wQFWQtEXmereL1H//8p3q1EUfZn3768+3gqlb7NjFP36KkQRISpFaR/zE18TRJ6XxmC998XsK6JoRElYZGUCReli1ZLBZUYplq2ztjrFarXVbZeb+aKtxh+0OraLqwwh7qfRtMni+EWK1WxYwh8qoST8yC4hsvcsb58JXJfDpyCuxKuL5qMGpxovyPrht5lgvG5F6Zfr+PwtzgJvJdY7gQe2g0jsBrLBWK8YoAAAEASURBVHblaHlF++3391maRkFU06tVo7rdbrnGdF1PkqRWq0VRVK1WUU980OvWDMO2nGSzEdttvM23Seq6jqFp//7f/r7fbi+jsNvpVIX48OFuOV/Ytpnn+WazcV3X87zBYIBQTs55EATdbnc2m3U6nfl8XqvVdF0PgqDb6S78pV6p6Loebza2bS/mfrPlrtdhpVKp1+vD4fD29nY0GnU6nSRJVqvVzc3Ncrl8VVvzjQTZ/Ou/b9+OKIavUErOW61ma9XK83wdRcvVapumURw1GqZj26Zp9fvdJEnSNPPX8WQyWa9Do6I1GvW6bfmrZbteJ8kDTuX4B7muS7U8UNWnYoztF42uEmA2AAABAElEQVS5mEj2aYImk0m9Xlff+iSEwE5G9SadNdrPJt/3qbIiES0tjO1qaxYOvhLf7JD2UHax8a9/MRjEW3XTGWNMMJELwViSpvV6TatoOWoRfzXkWKPR+MvDo+04rVYrDqL1Otokm2pNPyZM9h7tlfeQKjKaHdFWLyA0LE3TM/m86fQkVM7W6/Vf1UBlFBhVsQNV4vNKRJhnJ4qig/bkQQPgxEEhRL1eRwJ9KDdY0aTahNECoA7lCrEcyO2BSPPOOYd7VNf1LMuiKMrz3LIsQFbL5RJodJIktm1DuM3n83q9XqlUkGHk6enp7u5usVhwzqvVahiGV1dXX758ubu7m81muq63hrexNQAAAQBJREFU2+3xeNzr9UajEZIkrNfr6+vrh4eHu7u7+XyeJEm73Z5MJne39/PFwjKtIAiSbXx1dYWCKyif5brN2XQ+uBo8Pz33+p3ZbGaapmmanufd3NwMh8NerxeG4Waz6XQ6ODgajdqtbt3QNyJ3mq7vL5vNZhxvBMuazSaqEAVBgIRfeZ4zIfSKZhiVbYJO5FXDyNK0Wq2atdq//uFzykS1Vs02qRCs1WwxngshgIt3Oh24dDFJoX/DTd9qtdDV1Wo1y3LXcTjXhMhrtVoUx51Om3OGNZFzjqgYeNJrtRo2ozSbzW9KLgJ61MsgQiEFMiEHTRzHD49Py2DNOatUKvl2c319bUZmf4MAAAEASURBVNs22pFl2Ww2m8wWYRgahrFJt2G4/v7DxyxJHNciQV8xLql8/4+Pjzc3NyQxnu/KrfwmN0G0ZxvVyklQPWQYVg9iBeJtGIZ6zBljbDQaYVyptwrpv9W7Pcuy8Xh8dXV1TqvehHZ83zdNs2Sv79viYpc/tnRQMs+yDLu6zsEahRAZY//8xz/9j//19zfXg08f7gadZr1abXc6jLE8E//z7/8QRrFtW//4j//E9YpV0//Lf/5P1YpRbIBsZBGCKj2pRFIl2H+OEiON+K+gfoFhlmXr9RqbzqS5LzEDtqfd7qMI8idsN3FdVzoQ9uP9SyClRCa+ogWFqBTUXEKTsBKXGlDRS1qMAAABAElEQVTkKfGSYqvkmbhWngCepffOCxsySh/kZ7FLE1i8HVhBaZCCCOFWcNbjg2EYSZLIg9VqFVv4l8slyq5EUdRsNrGzHqG99Xo9jmPbtsMw5JwD+XAcZ7lcIsoZkmo4HBqGkec54tx93x8MBgikmc1mtVrNMAwwn81m+Ms5B9TRbDbn83mj0ajVasi79vDwcHNzEwRBkiSu6y6XS2AklmXFcSyEaLfbGH5I5dpsNheLRafTeX5+hmIXRVGn04Gcmc/nyPkShiHa0+12l8slhAZ0i8lkgsGMRgZB4LrudDqVqEy/3x+Px51OJ4oixhj6p91u4xZBEDDGXNf1fd+2bWxZ45zH6qrtrgAAAQBJREFUcdxsNtEP6LGvZXgcB5tb1+s1FLXNZoOyjxCwSFYKVS9NU13X5WuVgwqfhRAvLy/HStjty5wTJJUHkhK3k8kEubjVhXwYhgBTFTc7Q96GYXjOduBvqTQAJJAs7XiXUp4CqKjWarV6vd1qcY1fDfr9fh+jB1StVqu1Gjwf1WpVr2h3N7etZtN1HfUVlBXeuiIfUBzHJAEceZ5jcztJqyBKSKJwIARJYIkgCBAbdHA5YXvr3P7awHaTDfE3579EUcD5iwc555cZIUWG8vNf/vIXmFAH73Xw8oPNy7IMgri0iu/fcf8W8lf5QebHkus9jhftbLaztoud/K2XvlYvYVg494rvTJUAAAEASURBVEdp6U19fYpc5II9vrx02u1atZps4jje2JbDGB8OR3/43//nd7/73cOXB6NqMM773fanDx/0il56RjkS4DIuPoIkeFJk6L18Oqn3YFWQGoms+ATkQOycIGwXQRXHMRhuNptKpYI1GOoCrG3DMJBpD8K6Wq36vs8YS5IE6RKwBgM80DRtPB47jjMajRqNxmQyAZzm+36j0RiPx7quz2azKIos0xoOh47rvLy84F6j0ci27cfHx2q1iq2v9Xr9559/bjab4/EYbX56enJddzgcWpbleZ7nefCzmKY5Hk/W68gwqp7nWZb15csX0zQnkwmGxOPjY7fbfXp6Yoxtt9vhcNiQiqRzAAABAElEQVRqtV5eXmzbfnp6gk6ABniehwrNo9Go1WqNRiNN03zfh/sGGWR+/vln4FXgA2/ObDZbr9cIYm40GtPpFBlP8BW5ytM0RZaQIAjq9Tpy6eV5jvhUyGrEomBJMgwDmgG+YsUFKgPdAmnGO52OYRi6rpumWalUMAXq9TrOQQoDqOC2bWNU40xYMpVKBXOw2WzC5WRZVrVaBWZfr9dhHDYajTzPocTgK+ccX1utVpGPZVl5npum2Wg0DMPAHSHza7VarVarVqv4alkWNEi0B5fbto1U7dgxDSnaaDQkN8YYlvl6vY6nQ6Y3nKDrumwGY6zRaKCjwGcymbRaLfQMOpMxpus6BaZeZgAAAQBJREFU+nb/r6Zp8oNcuFnBp3FwvSgJ+dMkhFgsFlRl+jzPcxyHJHcMxMKZgaQnSAiBxFLnqIzfBCtEobr6giqW+8lsizL0oDqCFLWbzUYIUavVEPyIzUrqnZskiZxO6gQ9Wl2pyrJsPp9TbdiEh1QdHURqKwgI9VYh9V2x5/nxiEgZtXDwpxLGI3bYhlzUS5zFERQBSC3iqEonF29XRFDwGX4EWJPyp6JOKR8Qpg7KdFSrVUxsOBcwQQAhNBqNMAxrtRrMKWQkNk0Taz8sCmAGtm3P53PDMHCJ4zjz+dyyLMwXy7IWi0W73QZgtt1u4zjudDrL5bLZbE6nU855r9cbDofX13U9HL0AAAEASURBVNcSAMiyrNlsfvny5fvvv396eur3+1EURVHU7/eXy2Wn052MvXq9vtlssnzb7/fn8zm46brebDaXy2Wr1QLGMJvNsJItFgvbbf7Xv/vv22TbH/TbrfZ4PH5+fv7973//3/7u77jGf/PDD//wh3/44be/HY9G//E//LumbTbqddtxxuPxzc3Ny8vLYDAIw3C73bquu1gsBoPBcDjsdDroH2AMnU5nOp2izM5qtWo2m6PRqN/vr9dr4AqDwWA0Gl1fX0NdgEzsdrvT6RQQQpqm7XZ7sVgAyQBmIISARwYPi4UtDMNOp4PNUuv1GmY9FIs4jjHd8OKw3xwKnGVZ2+0W0A5sqX41AAABAElEQVQ8SpVKBUqJhCLSNNV4RatUdoMtk2NY7lmTSeZKg7k0m+RxTdOEYELAT/xtTMLhJXaJGA7iGWeuo0IIdBGJAHx+foZbR53bZrOBbqHIJ03T5+fnjx8/KvIBwaRUt5mxGgJEJHHa5O8sgX2QYPZMJhPUEVFvFWYoCfCBVDskyhnwRfXUmBD+Z2o13/YwYv3Yn/9y1Ska3K9Y7EUjQkgVfy2RNG3lryX7W9rNWMCkj0OehsWvuJYXoxH3BRlkHOzsogwqraylVfygtMrz/PHx8cOHDwfX8lJj9m8hn4Lv0otL/0JeKFAov8pz5IoOmxLJlJHHP45jwzAWi4WmaZ1OBw4aQ78dkwAAAQBJREFUWPOc8yAIms0m3i9WONd1ZYQBDN8kSYB+d7vdxWKh63qtVkMljeVyiTNhluGg53mw84Ig6PV6vu87jjMej13X1XV9tVrBtr66uppMJoZh2LY9nU5vbm4WiwWw9zRN+/3+aDS6urryPM8wDMuyVqtVu91+eXnp9XpRFCEzCGa+53mIe1gsFvf397CKlsulruutVms6nXY6ndlsJoSA4gJdBC4h3/dvb2+fnp6ur6+DIIA2M5lM7u7uxuOxbdtCCDgORqPRzc2N53nQZnBrGfIZhiHa0263cWvTNKfTKbQZqEpFrWixWDDGWq0W/FzL5bJer0Njg7IF/cC2bSjECPh1XScBCqEAAAEASURBVHez2cBHAyABbxmueVlmDeekaQp/fSkAZR8nLqJoxaELMGl/HiF6LRfC87x2u1Uy9Uo6wbcZx3guxD/93z/95cuDbVm/+ZvPQbCK0my9Dler1U8//mRZpqEbd3e3/Xbz17/+VWMX0CZZFScLJkKxYfJeWZbBL7Nf0UvO2YPzrjgBRQGiwzSRTKR7TrKS3kmxBzeWzsH7gkZVEn1FQQdFCn2KZG+lBud5jnn65t77179KKPqbO5Xv0rjLZJbs0mVGUTmTPcY5hz1JlQ5aPdpEvhrk4ldsDyiOY06RfEQIsVqtgKup95UQAt5VdT6Msdls1m63SaqkbDabUkmMi1v18PBy+haBAAABAElEQVRwf39/zNp/FzcUF4ZEVVfO8l0hhNMnf0P40zSVoYtSP5CCu6QuMMZ0XQcSAJwf5iC0B2z8xFepIkDNgpIk4TEY36gcxTmHL3yxWGCdS9PUdV1YxvP5nHOOD+12ezgcArEMgmAwGEAPgF8PZvT9/f10OsVauN1u+/0+QqRHoxGWcxS1fHh4gE9qu90Cur++vkbcAGJHbm9vJ5NJr9eDzwIrdK/X8zwPWdm22y0UEYQoogODILi5uXl8fLy/v4fLoFKp4ELcYjwec86xbCNuAJ8Bob+8vHz8+HE8Hne73SAIELAZx7HjOEj35/t+nuftdhu9AU0lCALOOaIZXNeFNwQK5EtnLAAAAQBJREFULox+wAOMMdM0oc8h/kNqfihqhIOcc5j++AtnihwJEgHd38Ujf4IUXiwWlUrFdd2i/irXBijZ0ntVyrRXXEHzwk5DjJbDysGhsJtvw32nvr+8vCC6q7iCgmFJLshLikfkZyxUvV6PJOYs36X/Lt1CLmalS6S6sP/Tjz/++OnTpzezIklbZT/kS7ZKfn1bKgmklOWT+fKf/99ffvnl5/ubwW9//Td/+vmX0WgcBEHVMLbb7WAw6Hc7N/323d3dxQs85DhJuR7GWJZlq9WqlKuluL2mtO+s1F2lc6Tn4mDL2dnyPcuy6XRarGH/Liq9StgG6qVNhBDA/9SVsyzLANyqtNyWbsoAAAEASURBVEcSoj9Vni7f1YgkdGhIjUqRD/oNgSskyhmmjyIfEEqfkShnz8/P6lVN0Vel8CoVbkmSMMbU3ZrA86Tv+PTJfLVawSkO4G6z2cAdDrUJoZQAUVqtFgL2cQOoTY7jIFbDNE1oUaihiZ0RjuPAzwIjCeeYpokgcUSDAv/HGon8QDD6oTUiXEluPCnGnLLXYEDx4P4iXcQFXz3/RR39/Px8fX1d8q9dwEcIAY+VIh8Q4jZOmGgHF4b9mwohEBlTYrXfe2+2me9ye8oZcpDJOQxhOFar1ROZWt/sQKnSYc1jxwdAsZ0nkAb0leM4VBsCBoNBCYcXr2Hd0t2P/SR3wBRVCkk9f6WCAAABAElEQVTydexzEAVsCSQt7DN2awJ4YGmejybLP/744y+PX3KRp5uNZVm2ba/XUbvdvO61v//uu2bTvdjjgIYhlpxKOYO8YnvOgeK4FQWQTLakeKbY1aWFGnSw5exssYPO73Q6F/eS/KtpGtJPqieREUIMh8PBYHDZmC8OuTRNZSFmlSaB4BNXRM6wGI1GI5IErYwxPCMJciYDSf8lImpUVp8Lev6gzQlnq/oDSiHf6XTU3ZroecMw1JEzqDQYD2/y0RFUCNxV0zQkieCcI0Vnt9uFroO9OTIhgmVZQgh4AaB7iV05iFarhfGNClnYvA1VDByEEDIcG3qJtO8hzvAVITtoFRAOTKXElQAAAQBJREFUnCMDQotfS5+LAhR/EeFBJQVK8MbFPEujU7FtiGs5rSqdeRDaxv5P5xwpkdz/fOZjnvgVGO0JS+j8NQ8hvafnbfGnE6dh79g5932TDgZbvPeFguChfjOmRKpoUmk4yBM26GlWYMcYY0zoFe160GT8c7Whhet1vN6YprlaLu/vb//m8/ctx7IadaYsMVUuLxEePN9VQSj9dOLIQVPnRCqNd81xIYRKVFBJ/14ul1SJl1X4FHtA0zTP8wi3q6szwXpHWLiFqkIA3mMQBCTS5k0j+V3U7/ePcXuXNYKYM5LKYLSEmkskhbPOT3qnSS0VUa58txcDx4vbNIp7NOQJoOJVcoAZROQAAAEASURBVPksnnaBCsI5Rw63i3uhSMhrR8KK7er+krBarVYkfBhjzWaTSgoEQbDZbNRZMcaw3emvihXnHEl6SF4ilSiBqUfCijEmw1d3xBnT8P+gSnoQXcN0RlaI8/vq68SvaK2m+/Hm9q5/9fH+5u5m8Jtff/784aZp1W3L5K9lwgVU0jzUSezc5dprKt7xTStcmoJUrUJ0BwkrQoUDeShIWBEmqxsMBooc+K74xHA4JGkS223FUOeD8UlY5qGUy02F7cvLyzHY7CByz47MJk3TSLZqgqhqt3DOkWeEhBV8g+ec/E30kECvrODJUieSsj8gGSZFQvAFk7BSFyiSptMplRzfW9rYG0BtAAABAElEQVSViKqvsJlXnQ/nnMpnwRgbjUYkfPhuN7sKyUFezIklf9z9fwdpmrZYLI5J2BPEGTPr1fu729/+5tf/5re/++Hz53/1mx9urm/+SgouHeQmGYoCXcCNExWLg5OBZCbCQ8qI1NlvRZCViTBzLAaqCgfpAqatrUmCC/Dd/gkSkuOBhE4bqOcrW4gKuOAlHpyqhA/YaDQQdqaoOIr35MT4NmgQTKZyY3l7Kmkiw8jUSdvlNCIhwqlLtbQzxpC0hoQVle3CGPN9/0xD4U1CaiJFJgBsPM8jWRLgx6fqLkLERULO/GvyEXFCOTuNCV0Wt8EZ0zjXNV41KkZVNwxdq/AgWEHGI2Z0gwAAAQBJREFUkRAV9im5Fb+qKGeEFb3UmcjdMzIjuTpPEv8OCElcSUh9w6B0E3358oWqVVS4AIIxlsslFTcqHzdjbDKZHGvVu0SHeE91jdPEOacCPoQQyNLClG0biJQztZpXdbuoHH9yz4sicc6Rd0CdFWEGWsbYL7/8QsIHwXwkrBhjqxXNygcUl8qcRbZhEla+76/Xa0UmmB4IiFR/Rs75arWiEpfIxvfmmfvzCxO+ePDq6qrkkpP03oaNx2MqmEoG1f5LkEoj+ZECya/5szyX/1/1dunWWI/VxSDWKlHIr3sBE3nharU6NubPXzBAyN1/QWP273t3d0c1uqgsLkbqAmZENfr4Lrnvz5MAAAEASURBVN0/lcpOGESBVILqfDRNo8pgwhgbj8dUrBABr84HEvhMnEiT11QqFUKjloSQM51qVaAKomKkyBlhq6hsDsaY4zhUi+hqtaJCzqhizmAJqfMBIZU8CavzTf9jS6wcAMjVIn9SUc4I7QdaXyQhib1khOdcIj9jl1nxK96j+sMWrVNFbkiAfHAAvJfzxRtI9wlVFEmIpNwcox6l2NZGwgr5pUlYCSGo8mgwxhzHIemxPM9RdeO9VJJs+Ey1T2uf/8WEped9bk0MR6pwcqpwJWyRIMHzCHO6MMaosGXaMIJ+v0+iUWVZNplMqKSA4zgksgnAElV3QTkjmW8fPnygiik5MwxXPIHeAAABAElEQVR5f6u5DGOXRwaDAdUQBZ5H0lfr9ZoqumBf+1EUoEXVtrgtoMCfadrX/yAJSuHWUkWDAFTPCMA5l0DCxdzkgziOc6x/3sucCpMQQlDVUGe73dzqfIQQnuep8wGhkoQ6H875er2W9crUuVEtiCjzQMJK0zQSUxD6DGEgU57nJGsr5xzVyc45uez4UL89NqeQsIJGRTIWa7UalbbB6DAqUcgqok5UGwI0Tet2u1TI2Xw+p4Kp1Fc7SdjIoz60IMepUARCZ8p0Os13hSZV+JC45ySh9CEJK0Yaooc3eFmE6+vO4YzxNM0YBQDDd0XQ33XVsfe1Wq2wXKm/TYQrqT+gpmmEEC1raAAAAQBJREFU29XVYx5AQohPnz6RsGKMoYi7Oh+gJ0jYrs4NxSfU+TDGOOffffcdFXKGqiokROV8ZzuciITV+RFW314zlaaZF6oRqxDnHDXpSFY+GbpBQlShlChCQMKKMdZqtagwy/V6TYVRYas8yXhAwSj1JnHOIZjUhxbnvNlsUtmyl0H6x7iReGeEECQpdkFRFFFp6kIIEkBC0rsGg4SjXneyxhgXOUPRCxLNOIqi987EYyHYqHtNomojzpJkdKH0pCIfEGF+rIeHBypWhHvRdF2nQs40TUMKUhJWs9mMyntAMj6BfBPauvBFUm2meV/MGWMMOVrV7629LumjQmKvls7FBFWPhOjjgnYAAAEASURBVBVjjCoLDuecUKBMJhMqjYpwH5zrulQhF4vFgso4phJMQojZbEayp7hYn0rSxdwurvmzT/P5nGpcmaZJFTUoCunvqRieb0XsvyDOOWOCc8Y1JkSuKSdyA0/TNNVlIJoaRdF2uz2W5e6CniQREf1+n0rUUO18r1QqhFHFJKYpCDX3SLoL6V7V+YCoYs4454Sb319eXqiyPVSrVUJ858wH/DbtcXv1GxM6ehmd8D2U9ulyKlU9v5g454QoLlVOOMaYYRhUavFyuUTpX3VWzWaTKpUG6riTmGiEiqx8g+rKmed5VHvEOp0OlWFDiMjSmlsyaOwy5Ww3BoQQOcZCoX785UQ/jglrAAABAElEQVQYOiObKg5tSn3vYLNtm2TkCyFeXl6ohDxVpQHGGKFDg51T9+wMQrhSFEVUyBlVjlbGGCGGHQQB1Xi4ubmhksxil6Fakc+7osy/DRrUXFK8NysMRPUnkd4B5UYx1F5Q5wMijIcl1KhqtRpVhjnCLZbNZpMqcHC1WlGl0kBWP5KpS2jqLZdLuai/a+UTQuSvaTAYHKvtKM8556UIIXzfp/I9UUUNonNQKl6dG9t1y7EOF0cC7+T5YpeKQkaJUc3EPM+pEFC4NUttLu4zPX9IUIEumqbd3t5STZ/n52eqdZ1wn1a1WqVSr6MookqgTxhzxhhbr9dUM5FQZXx+fiZEZKhC0+MK+AAAAQBJREFUb2u12rvdmoxoRBI6GpIkodpRcn6PnENUTjFGmkqDqm4B57zdblPls10ul1SBg7VajaRVWJCoPO++71NB+jI5mTosMRqNqBLzmKZJZdgQ1upBbCuV4sI5vyBV/UEIitEt7ZxzKqSEMRaG4Zsy8Mx7UWFUQghCjYrKTBJCUGXlYIwlSUJVekfmqSfhRjUT2a4Gtzof6P1UDWu324TygUo5Oz9+7FuHUiV9FkKQsIK4pBJztLHDVNoGIy0O2O/3CZEzKl22Vqv9VfUVYkUJt+4S5gKYTqcXPGNJauABHceRZW2LJ/NCkohz3osEhEheYpqmJNbIQd/cpbzwn2/i7UFgDyHsMSAAAAEASURBVN1b6q6DZ8qDhMXiSLQEvPRms2kYRtEVqx2ic7idyAj/XiLcrk4Vj8UYI9yaYxgGyeojdkmqSXqe1mmzWCxIlDNN01zXpRpahNvMoVGpjy5IkjO1mle7NUmWduTSVYyYASVJQmVqU5n+CAEJw5BKUSBEcUejERWKa1kWlc1BmHwoz3MqlZFwi+Xj4yPh5gmSSDjoLnt7CS8hxOdRuTVN0yRZjLlC5osjDJluvL0PTrymg78yohgjyZOK22w222w2JGO13W5TOdeoEHrGGBWGzUhLHhMiZ2KXVE+dm6ZphLncer2e4mSUcwrQIMl7DIKACtwhTGJ/fvzYK+WMBE7IsowSL8tYAAABAElEQVTQCUJb6pWKFeEWyzAMqVhRSUw4U6hWPioHIvxr6mIOw+AyjOogUW3Y5pzHcXxBd2maxrnG2Nf/kHGLxYJqU3q73a7X6yQvMQxDqgpjZPoZZ4wzwQRjh1kV8SQZq3dMOWM7+40QLSaM/qTaKkuVnEzTtCiKqPqKMHUCIXKm6zohWqwR1ZvmnNNWiCYxKWF+kyA7jLHBYECVVRFlHkj8gYZhvBs50zSNKomUdIUoshLvrPh2mhWh+5lwiyXhNgXCgpiE8XnIkkUyGIIgUHcQoCWu61L5nk5HBZ0/hhHe/q6OkjHdQuSMyf+ccz4YDKiiQGaz2TnI2TkiFXm2SFqFGX3xp33v8QAAAQBJREFUuCq9FzCUPSaO7ACQ7mCpHfI90jSNdm84Fbc4jqWet18b9F23oNI+hRCdTodKas1mMyo9j7CcDKfbVoyNJlQ9P5vN1PmAqLZ8cc4ty6IaD4Q5gDhpLZ83ReVXcVQ8ROomoIlQKQZJqFClUqGCJTnnVGFGAEtIWDHGCMuutVotKmfKeDymcorZtq0uNNESwm5/Uzk7kw983O9yax48k3PGOR+Px1QDHuUi3pzR5yj0hOg1YyxN04tHaaklnPNzioiU9LCDR0BU04dKnWUFsxlUUs7exarX61G9ysfHR8KNflSKC6F1mmUZFeqh6zo2dKtzE0IQlp40TZMwqyLV3CHMASO4+RoAAAEASURBVESIE2VZ9uYDYhWo/O3f/i2+I8Gder/g3iT9C42KJBAPNTRIWpUkyWg0OlGo7nwSQsRxTBWYCZOdJGXlYrGg6q56vY4NIurdhXIcJJIuiiK46tRbZRjG6Ylz5l3yPPc8D0lHz2/VPnLDdnJcvkHFZ/R9H0PrNB956xPnANyl8k1nWaYy4IvvRez2hssj5zzOsbYhWFZ9uRJCLJfLer1OgpdIVK+oVhZ/Pf8Wo9GIJDtunueO42AFVX/A4XBoWRaJAFytVrKqqSJxzqMoOuZQFq+3tux/LX5er9f70cDyHOlthxohCiSPFEu6+b7faDSKB0v0lUkuhGBCsFyIrwd25wOPe28pAAABAElEQVS1z3MxHk8a9YamcRlhDAUXZ0qYVros928KPkxw07SYYEIwwViWZnmesZ3hBy9BlmVpmjPBttuMM55uUyHYJknSbapxLY5irlWiKM5zAQdXpVIJgkDTKsEqSLepYDwIQsMw1uE6F3kURVEUaZq2WCyq1episYBNO5/Pa7XadDo1DANBt4ZheJ5nWRayjsdxPJ/PG43GdDqtVqvz+Xy73WZZ5vt+vV7HwclkstlsarXabDYzDGM+n2PdwTnD4RAaznw+xyW1Wm2xWGy32yzLw2D9VTkDaqfruvrI5pxDaCryEUJst1toZiRqELgp8mG7lY+kr5AOgEq7f3x8pKq002g03KURUQAAAQBJREFUSHLuMcY8z0PKA3VuCGek2rZy/o7F0/Tzzz+32+1jg+H80SuEaDQa+xjMCdrXzOS1MEDVDRuIznP8Kec0u1KpUOU3xoyGtnHB5aXWYlGUScXe9RZKrYIsJXlMqTKS9BjiqKREvVgzY4yhSSQPOJlMqKRNmqYkfQX7gUosh2F4IjlZUUHBWyiCNBLAE4VEejgiA+eBH+Nrmqbb7ZbvSqTDrEqSRB6sVqu+70O3YIzV6/XFYsE5D8NwvV7X63XYh8/Pz9VqNYoi3/cbpvn49OzYzmQ8ZkzEcTyZTGzbxnLz/PwcRfGg35/N5pZlIqVwFEWr1arRaLy8vNi2/fLywjmHNrx96zYAAAEASURBVGPb9ng8bjQas9kMGwdHo5HrupPJOEnSLMu8iddsup43hW60STacc8/zHMcZDoeNRmO5XIbBWtM0f+nXG435wjd0PQzXm03caDRWq6BWr0XrSOOaELkQebVajeO4Vq1tt1vONd3Qt0lSNapZlul6BQIEqzA+wNiGqgD7tlqtAlZHCi1UEdR1HagKFNx6vY48oxiB+MmyLBiiOFir1eD/NQyjUqk0Gg3cC8MDlyBdlGHoVaPGpZ4La099RGIzAonikmXZdrslmW++75umqQ66YBYFQUCynxFgCdXOIMxkklZNJpNer0eiBsE+U9dlIVAqlQoJ7rJYLBB2pq67QDiSdPtwPIeiAAABAElEQVTLywtSnakP+MVi0Wg01Psqz3MIegiUE2eKM7aSBUGQZZn6DmUsVAD75aQ+3QCx54YrwmYYXRCv4nieDvlT8QMr7KRD1OBqtZIQDn+9caF0ufwsm4fPfFcaNc9z6Bx5nstRUTy/+Fz8dUFVIYSmaYgPkwu/hM3kmfI4biGtazwLEA4UBNR2pfmm0ym2FwBRgJaMe6EgMroxz3PDMJIkQVKkNE1N04TwhEAWQsRx7DjOcrl0XRfQeKPRWK/XrVZrtVrV6/Xtdrvdbm3bXi6X+CnLMpzsuu5oNGq322maBkEAPoPBwPd9OOKXy+XNzc18Pndd1/d9znmr1ZrNZt1u1/M8JzDeCAAAAQBJREFU2EJhGPZ6vdFo1O/3p9OpZVkAOfr9/mw2a7VaqCZSq9XiOG63277vYzpst1vTNHEOkBJ8xR1t247jOIoiXIK/zWYTU6DVavm+77rucrnUNM2yrNVq1Wq1PM9zXTcMQ8654zjz+bzX62Eu53m+2WxM04zjuNlszufzSqVimib6YTab4Y44iP70fd+yrCzLsiwzTXO73cr3CGSrXq/L9OxyoBan+ZmCaDgcIvjhnJP3CbMDo4swuelqtYIORCLkOecaRU02jPlzHFPflDPgbyTmC8kGabynPM9JlLMoijCj1Fu12WzCMCRJcAeclspEe35+vr6+JjEcl8slEmWdf8nBkYOWdcQAAAEASURBVCOEgAn1rmcUR7D95XJZqVQsyyouYPjp4JJ58CeQFAfs9aIu2e7zYYUlTS51jLHxeIzdu3LZY2+tuKW+wvEsy1arwHUcvos4P325FKb7CBDmP2AqeS0/FM1Wagx/vZsHt1utVpqmvRmhcnAMlB5BdrtslYzAgCYB/WCz2cAVjtmx3W6RLIpzXq/XwzBsNBrIb47066Zp+r7vOA6mOW6xXq+xFlqWhQzmtVotDMNWqwWfRbVaDcOw2Wwul0vLsubzua7rtm1Pp9Orq6vn5+fBYBAEQZ7nruvO5/PBYIC1c71eb7fbfr/veR6UhlqtZlnWdDodDAbD4bDVakGHaLfbnudcc9vDAAABAElEQVRdX18DH0rTNIqiq6ur+XzebDY9z+OcDwaD0Wh0dXU1mUxc10UquHa7PZlMBoPBeDyGVen7/mAwgNUUBMF2u202m5PJ5Pr6ejabVSoV13VXqxUOWpYFnabb7b68vNze3o7HYwjS9Xo9GAym0ym0HyGEbdur1arT6SwWC+ABUBTm87lpmnmeb7dbrPRgbppmFEWMsV6vNx6Pu90ulAnLssIwdBwnCIJarQbrGtpYo9EATFKv1zebTb1exzmc8+12C5UL2gNjTNd1QI8YDNLmLA714m4eObAfHh5kYT05EYpnlmY621UllyNQjmHcGn8PnokxjCaVhIZsD/4mSQL0pTT70FKWswAAAQBJREFUSm17c0JBRUiSZB+HOzi1D07J4ryGkspe2zMl8XIm4RkvXsjyXVmUPM+n02mv11PXQxhjs9msWq1ivVDhg+6K45gkEiZJkjRNz1EZvw2j1WpFkgocCKo6HyHEdruFSFV/VVmWpWlKArrIaUCCDj49PX348EGRD4gqri7P8/fWCdmXArKXgIHLaJ4SZrDPRIo89lpXEIVSNsULi2pWka1c+MVuF15RYZpOp51Op7gvHXG7MP0RLSGtTMlH7FIISrSAMbZerx3HgVUKBQKp/izLCoIAQjmKItjKsIYBq0DFh1kfBEGeMaxV/X7Xm3rdbne1WoVheH19PR6PsaCCG9bX5xqiNiUAAAEASURBVOfnm5ub8XiM7GgvLy/ff//9ZDLp9/uj0ahSqeBeNzc3o9EIsmC1Wt3d3T08PNzd3T09PbmuW6lUxuPx58+fn56esIQDe5/P57e3t09PT9fX16gnfXV1hWX+l19+6ff7WZYtl8v7+/sff/zxhx9++OWXXzqdDud8NBp9+vRpMplcXV0Nh0O4h6Io6vf7GAlZlsn2393dPT4+Yr/eYrFA2z58+IAQjUqlEkVRr9eDWoBQ6GazuVqtADkAoc+yDBoS1CYYYJzzOI5t24azZrPZ4GQJEbHdeo+3XKlUoM5KwQXUR66+cmDIkSZhpH0der1eF2dicVSX9P7ipDg43Xzfr1RqwyvmAAABAElEQVQqxfin/dPOnKdAUNQztQohMJLVrdM0TTHwSJwtgDfUW5UkyXA4/PjxoyIfyS3LMvXAYgxCKjc3wr+ocIHJZNJqtdSxjyzLZrMZlXIG7EM9oqaIE6krZ8DCz5mGXIYKAqDe1/330QVQcakrWg8o3l402Ysn7wupIpVWbilNiotridvBa7893g5sgNpbOn6QW/FrUZTLhTzLMqDNRTSiaF0VPQI4B/mFN5uNXNRLB6XvAGYl8Hx0JuxU0zTDMITnO0kS27aDIMCiDn95FEXQDxzHWSwWUK3CMOx0Op7ndbtduZglSQJsH8axEKLX60FZGY1GrVYrSZLNZtPtdmHETKdTMp8ffQAAAQBJREFUGNBRFHU6nfl83u12AarjXu12ezabwWIGsuX7frfbHY/HsM6TJOn3+8/Pz/f394vFwrZtZPFttVrj8fjq6gpxabDgcRDYgzwHoAVcycvlEh6HZrOJijTtdns6nfb7/fl8zhizbXuxWPT7/ZeXl1arhR4DhHB1dQWsGyoOII1Op4N0hWAIPYBz7jjObDbDI8OtkOc5AkLlQcZYEATdbhcIDbQxhHkCSIDASpLEcRzAA1AggA8B1DFNM0mSPBPzxdx13UajjrEhBWiapqV8CtL7tj8xQad93Acny/5xzJ0wDOEdkHNnf4qd5lwUDlmWSXNLNr6okRd57n8oTl5AMuiK/R6JcDcAAAEASURBVLaVzi/aVPJeUr7leQ60WApfedVpeGOfIHzhxy9KktJpRflQkqLF03zft2279B735fM5tFwuhRBQ5Y+1/Jy1RwgBwEx9aYcVhEdQV6rQKnU+SDPuuq4iH9BmswGCqMhH7DLekew1gXHVbrcV+YDgVFV3l8GOLaFKmIYXaEVwQGMpPHNsH2tV0d+qrpzJYPrTZ3IoQDAcOefVahVrvAQqYTLGcQwlAFoO7FEYwfCRyxW3VqsFQQCcQC7V+Io1fr1edzodqRzAYwKPwOPjY7/fz/M8CAJg+FARJNgOF4Cu667rYgF+eHjo9XpIZ9BqtYbDIaACeGFgso9GI/DBzkE0YDqIY6o5AAABAElEQVSdappmmuZisYBPodfreZ4HIBQ4//Pzc7/fR+Lpbrc7Go1ub2+n0ym0ojiOb29vPc+DdoI4QehDw+EQOodt25qmIRICj+z7PtbvJEkQK4CIwjRNoXI5joM4LcYY9DC5qKPPAQEmSdJoNKS5v91uscOoVqthiyvb5SLBUlFyCkgMoAhT7Sumxb23+a6OjVxCJOwvVzIZayL16S9fvlxfXwOzlBcW12YZ6cIKC+rBGbKvQ5dYnRjupVV2Pp8julPOWKlen54w+2zhTZYqwkE+JXhvH+1jjMHvI71yx253+jElDYdD13XVlwRZXPwcbEPqQMfODMNws9l0Oh3FVoGkcqbOOKeRfgAAAQBJREFUCqYgdGIVWAI9gD1ZJJui4jgWQpCUVYBv98Quy4PD8mCrEMdGgpx9+fLlu+++45yro0FU4c7Yc0c1SmWAgSIfGe1HElEjdmXUFfmACKOGRqPR9fV1UcRJ58l7tSLpACkiLBe0ilY5K7bq9Jk8TdMwDBFyoWma67pxHGNPR71er9frcRxDWYG4wVeEfcBGhIqA0ELGGKz8arWKtRxZ/uEwkis6YICiivCtQQUrEzomHAT7y/a+uXnCzN2ft6V17iAOVwIn8CEIgiRJ5Aa9gzc9hkzsPwKQpzfPfJOz2GGfF4+/YlcAHDqGkRwEGtnrdyePFOORT7T/nBb6vl+r1YoOgsGtEnkAAAEASURBVH1M4iBKsU9w4suteQehl2PNKJpxQghEf0txWRpXxRCu0sHSm0rTFE5JkmUP5V/VxSVCoAAZnq+csSPCFEinOiaBvf1xHFcNQzcq59jWp6VznufYVbe/R+QcxbrQsK9hRoqbq2RPYsyTeLIQJXLCZD9T9RdCAG8mQc5gOjIK5Iwq6DZNU0QKKvIBAf4gQZXgISUZDICKYaCq03A47HQ6JM+IANNjEPi7uAVBgI2T/LiH4fxWQdW5mEmRG7bIvMlH1zQNAQ31eh2PgRS9Ms8qfoU8xa+cc9u2oXhB+kOjxLtBFariAoNz5NciiH1westlD2O6tLCVTtv/cPCZoa6WPJsQdf/CAAABAElEQVQHue2zKvLP8xyBvcfOOcjtGIld9oRzTj7NmXM+m80urn1emgxI53hBn+9/QOSvjDlTGdnF7W8HW37sSImA7/JdvLBiq+DQPH33MzV1RF+RQEFU9jrbCcdzVN4TlzPGOOe1Wu38RNsnhbJA0qVzVqkzW845hyn41q3fpvzSkmX7Np5QSOxX5MY5x9J+Itjl/DaTZHkELZfLZrNJEvxEVatH0zTCSlAqqZJLpGkaVaZxRloGptvtqoyHom0PZ2tRBqpwltJGsXnAmIo7pi8mmf7tzSZpwJOhYOKDPCK/FpGP/dW3RHANKD4A2/UIfD3q3EjQCPDRNE19AwgIY1GdD+jqcObHzQAAAQBJREFU6oqkVZxzz/NyooTIKrt4SkRSIYAxxjlH/M0F3cV3G6rlkcFgcIKPdAqfcxCZqKh6noS0XXqec/qqKDoO2r7b7RYb/c6kk3M/FyxPtht26KWUmFwgQ+QlpZd18N2VLrw40aNsquxJ27bl1pPLuEmeML8v4LNPVLU1sfn9TLT7TaKKoGKMPTw8ULGC94CElUZUWBOkntFG0mQyUXlGOURV8K19ajQaJAMeb5AksykrhAu/eearWnIknaLtNj+rE2wOklYRWglxHAdBQCJNGGNUkQ2MseFwSMVKPTeMJCpzFi5gkrJLQgh4pUle4ng8vmztLykN+/aPCtXrdRIbKc/zOKz50ZQAAAEASURBVI4R+aTODUGo+8f3e+MghsReaVo83aYV7W0d6E17EkQlABljiOK44MJSA+BPuWCP+f7QYowlSYKcFxc0rERU5hbflcIjaRUyoKrzYYxR5Z5kl9oGB4kw75IQYjqdkrBiO8eaCknRRxUGxxhbr9dUJewQfE+iRZwPCnxTzhBZon5vpLdR5wNziqpi136amcsIHrETO57eS4Q11IF9qvMRQrwrj8ZpiuOYpGQs59x1XaramkDO1Ful2JKSOoLtIyTMwzB8F0Z1jDRNQ+zpxRyKsNZ2u12v1wdP2+8NscsmVfpVCMEEY0zT9aqUYG824E0zzzRNKbhOQ3Fv3u5i5Gz/vogrxtCzAAABAElEQVRQuYAV1oDig5PkGAdRuQ40TZvP51TIGeI11fkwxsIwJOHD3rmj9jSfcwp1nEmcc8LamopNKk7z5XJJhaQ0Gg0SA5WRQnrvVs44RWYyEAL61PnkuyTg6qwYYzIPsjptNhtCjYpqMWaMOY5D5QJG+TB1VoyxVqtVSgNxGWGf72UL1T6djy2/SVRZeRhj6PbzX6Io1K0rkeM4BzGqCyhJkmMa1XvphOVWinE8+FU+rGCMM7HdblHfT33YIz6aCmuEnX36tBPvThLfVYq7oBn7Y1LX9TPd02+S53lUKAI0KhIxiOQ76nwYY8vlEvsn1Flhb5w6H7bbL08l5KlkKWNsuVxSpepKlAAAAQBJREFUWeCDwYBqpY7jmAQ547vCblQGyZnBWt+mBNUCg0od6nxgTlEFSSBZlDofiFT1ZLaSGxUrxth0OqWSAr1ej0prRApTdW4ymImiUawU961ChPF52Gt2/kw80f4gCKg0KhUYqUQocXPwFucoZ6Wr5HZ09ffIOUdWfUU+rLBDWZ0VVuLLIiP3e4xQyb5449E++b5PIpkZY1Tdzjm/v7+nWoypcAE0hspPJ4Sg6nbGWL/fp4oGJhSnVIis2JVBo1L9z8mjwYrKGdU2EGTiIGGFHF0krKi2zHDOUfRUnRW4EYJwg8GACj+fzWbqfEAoYUnCinBvged5JHzYOxVZZLItupzkT62fBvIAAACGSURBVJzz6XRKZRmfk68LjTmHFdWMTpIEdZdV5C80RcG4plWk4ngOfgbLSr6C0q/I73hxqyTxIxm29087R+XlnKu7p8WuzCUyTSpyY4wh2zMJaZpWTCOsQlQbAvI8h3wgUc4IVzFGF8LLqDcEkOBwYpco4IIL5dSWB6kEF3+d71Odzhzt/x8kal1RbRmquQAAAABJRU5ErkJggg== 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 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_open_close</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Tarteak-2-1 Expresa mediante intervalo el siguiente conjunto de datos:


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 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_close_open</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Tarteak-2-2 Expresa mediante intervalo el siguiente conjunto de datos:


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iVBORw0KGgoAAAANSUhEUgAAAzQAAAB2CAIAAACRaEHaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYUCAsykes7ZAAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nLy9ScxsyZImZOZ+xoh/vv+997838+bLV5VC1KMkhl6AWkCLRRcI0SAB6hUbYMkCCcQKCSTY9AIBgjULEI1QI1GwoGmBYNE01V1qpBZdrRq66r3Kly/v+M9/RJzR3Y2FnePhZ4jhj+PC9OfNiBPudsznz83MzZGIoKWyLI0xSZIgIkwgY0xd12EYCiGm8CGiuq6DIJjIh1kZY5RSURRNLB0AKKXyPD8+Pp7IxxijtS6KYjabYUv2J/7gPhwSERERpymKYrVavXjx4mBhAEAIQURaayHE9GoHgM+fP7948UJKuakU9r07xXv//v3XX389sfm4J9R1zT1hOrcPHz5cVt0FGAAAAQBJREFUXV1JKafwgXbUxHE8kQ/Thw8fXr9+7UWqm5ubV69eeZGqqioAiKJoIh8iKstSCCGlHC0jjwvo9iv7EAbDSimVZdnR0ZGbfs+e2XtvXdd1XadpOppxE89R2aqqWiwWFxcX28fOsDijaa6vry8vL4UQu1Ja2Yz9yQpsjCEipVQYhk7W0SrqyzYsY13Xd3d3L1++dLPxFMTTmjEGYKPAAABAAMQMv3y+ubx8gf26XZcCEd31zophq4ipqmoyFCdJj0+bFxFFK2pnBm7StU3M07tSKopim2WUEAGx35quUEKA1rosyyRJAMCWglvTGMNZqCV++7DgLCoAPD4+HR+fkKEgkAf+x6UAAAEASURBVIY0syqKIo7juq45OyIKIZRScRxXVcWvqKoqTdO6UmEYrlZZEEoA0lofHR0VRRGGodYNN611GIZVVQVBwA+DICjLMooirTURSSmJKAgCTkNEi8ViNpsxCFFKSSmVUpyREUVd14jIz+1XrbUVNYoiYwAIqrqSUnCbNL0IkIgADS9tSikyyKICkhBo6y0IAqUUi621lkLmeZEkKQCgaKqRJefhwB+4yDwpsdhc1cyTW6oqlTE6CAIuEaIgIIDmjVx7nJiIAreL2JqdSLa/TmclpfSyYjHgAKd3TiHuHwdk7M0CLBWDs15KO0PtlMTWdhiGJycnB0hl32iFXCwWSZKkaXr4HeNiAAABAElEQVQwt56E+7x3J583b974ar7lcnkwiu3RlrXT0j7LvNZ6tVr5Amc7e87+fHxVFABcX1+7OI+r5VkQ2a4xQRDwWmJHolvJdq2yr3Dz2lHTchV1pRElQH+dBgBjgIgEIgAZMi5zTuAKbx/aZdKunW5J+S1uGzFDy5YTSCnDMOTsLivLrdfKLgf3CTjtyCsZAACBBRUEhMjyIAIZIiAgIAREBETUihDBEAEgADzcP128OOf1jCuHyAghDL+aAIAQ0RAJRGU0GSN4JZZSaY0AiKi0FiiUMkaTNgYIgkDWtQqCQOlaCBRC1HUdR0ld1YhojNbaRFFY1yqMwrqqADEKQ6V0EARVT2nRygAAAQBJREFUVc5ms6qqtdZJkhRFEcWRqpUhiqJQKx2EwWq5nM1nxpiiyBhMJElaFhUihlGYZfksTVarTBsFQNqoNElXWZEmcVlWQoggkFleHB3NVqunJEm01kVRH83nWZ7NZrM8z6WQURSVZRnH0arIg0ASQVGUUgRZvkqTRClFAIGUZVUlSVxXNRcZAKI44mKWVRnHCRnDKXn5F0JkWSaDQNWZDCQZsh1PSEmkuM9Y2IGIRAywuC2accEgABGDQNZ1KaWsamX7iQVPDHoY90RRlOc5gzYAYEgURmFVleks1lo/Pj69fPkyz3Oudt6HExEjM+YWBAEAVFWVJElZlmEY8hst+CvLUtTKGK8AAAEASURBVEqZpqkxJo5jrTUjHk5TVRUDRB4OzJzBn9aacyEiw744DgBAm1pKYbcQvXHBiW3Bh1OQu4E0xgBCksT7T1Nc3iEhYl1DFIWIGIQd9M+iuhk7EnOtPWuuHCVjTJZlaZpO3LgTUVVVQojuLu1AVhatT1cI1XX98ePHd+/eQXdq3knDqZ8fokOuzL09WY/sYsNi5Hm+XC6nKzmMMbwHGla7fdemvDaBXSeqquI6twU5DDcYY77//vuf/vSn08GZu2BP5EZE79+/f/PmDe/8ej9Z/sYQL3LbpXp4eLi4uBh9i807AnabFbPzXjuv2ecujt+Ocd1fichFVPYnVwwiaJb77vQncfh0AAABAElEQVTH/yei5iOBNhoApAyaBXyQnogQEBD4F2w+NCVs98EEAForYygIAl54tNYAKBAZP0kptTZCIBnSxgiBWhteLAGI99BC8k5XGkN5lkdRBGCCMFRKCSGa1TEIqqpOkriuFZGRUvAGtyzLOIqruuY1u67qMIryPIuiiBUAZ2dnvKIsnhbpbAYAWus4juuqCsKQlRMIUFXV/GjOS5oxVFXV0dF8tVrNZjOtdZZlURgZMrN0tsoyXsMAIEmSPM+Pj44Wi0UYRdzKYRgURZEkyWq1IqI0TVWt4iTJ8yyQASJ+ub6+urpaLBZHR/OiKIyhOErKskzTtKoKFCiE0MrEcZJlWRgGHeVNlQAAAQBJREFUSmsyJp2l2SpnhU1V12EYaKV5uZJSaK2MNmk6K6sqDAKltJDCaCOEEFKQMYBY1zUQEEEcR7WqAxlorQkgDAIiquqKN5bcaghgjDHGEBBDOiklAjIyCIJmvS/KMk1iY6hW9SxNszwPg/Djx49XV1coUCudJHFV1WEU5nkOAPPZrCyrIAiUqhFFEAoGCnlehkFoyKhaJUlSlGUSx3mRIUIcx1VVp8msrMpAyqqqUWCaJkVRBoFgIaMwLsoyTZO6qlEI7tRSyrKq4jiqK2WMNoZQYJokdc1pCBFlIKuqjqIoz4tAiiAM+Tmn4blCoCAiIdAYQhR1XWdZdnp2CgACQWkj7JvCVH8AAAEASURBVCYB+ysFESGIdsACIPTm3s+fP798+dIF+nZ0u4C+O5bHp26tNS/0LhM3sTtp9Nj2pprlchmGYRzHbkqXIXd1d2odisTPF4sFAFjrVm/lctfW7YssJ2Z4Ot0QUdd1WZbWULY9cWei55zz+XziiqWUYjg8feVj9aAXcMaIe4t9bX9SSllWh3GzG3djzOPj4/n5OQxUCDvBWQ/qsd776OjoAHnsG6EFZ1EUDat9i1HGJmAcZsfVx48fR+1rVnlrE7sfoKsG4Ce8alqQ4WbHruJhFMrYQW6M+fLly6tXr5gD67GtRsHlz2pqzsKbTis/K6ullDc3N6yT4K+sfuftqdYaSMTLWjpGAAABAElEQVRxmBdlHEVK10RkNdh1XVsFeBiGeZ6zBd++kflIKXlbyTUQxzFDZ2OMUiaJk7quozgqyzyOYyJi28fHjx/fvHljd8BEFEXRcrmczWZZlgVBwPta3o+yfYHTrFar+Xye5znv03gnzVvVoii44EqpJEnyrAyjsK7rIJCMWqIosqYNVeswioAgDIPlapUkidH68enp/OxcKRUnkVI1DyKGFGVZhkFUKwUErB2xjWLbnXUGtkKKspzPUhTAtgAEIWXTRlJKIVBpzVogRCTTdBgAqFU9S2dlWSVJDAC8A8zzfD6fG2OkFFobIQUCKqXipNmsM3GjhEFUVbWUEoCquk6TpCyr+hyA2gAAAQBJREFUKA7quuZlm9eYoiiCIFK1ElIEUhZFmSRJVVVhGCAKpVQUBzzW8rwIg1AIqZRK0ogNPXWtbm/vrl5flWXJsAAa+4aKoqgsKxlIrY0UKKUoyiJJEu5UXKgkTqpKBYEkIkOklUIUcRIy0JEyIANSSqUVd3kACIIgWxVpmtZ1HQSCgIhIykArHQSB0hoRpRBPT09Hx8dkGuggJHBPbgEBCCkADLKqDwQgkqP/s4NUa3N9/eXV65c9fScQGiIERIFApt17tNMg2W/OWmvIGC2lHJg1h0QtC+bQn12XyyUZOj7pea2svT52LudNBkNamaIsZ7PEpnX2qGDX3p5Zc4yEUkrVKijwnQ8AAAEASURBVJ1NXVWZ2I40HW0QEU+A012YGJxJKRm7TOTGk4ZbwP0bbsiN5ygvegHW92/xLrDUUePzjDC69I4y2vTc9enZ9u6BIXzI3850m967XRPgvoL1rnu2zRAluD8REa/uzM21NTDmgFZ1MZSkx4eXOl4d7QxFXWuIy4T5W7OIi1HKsqyq6vj42H1oIamFDiyq9SSQreacV19eUXiKl1LyqsmqaebAim5OwC+N4zjP8yiKGLOmacr4YLVaJUnCNX90dLRcLo+Pj7Ms44zGmDRNl8slL1fQ6gN4geHlvyiKNE2zLAvDUEr5p3/6p999993T09N8Pi+KIggCXqc5TRzHXBDWw7P6KVPsAAABAElEQVSKm5XeLE9RFIjIkEtKyVtwrknWhXAWW8m2Gl2sZlukcQsIAoYjXIGMzKwloiiKKIrJkJBC1TWKZu1hYBRaDUrrmnB3d3d6esoNxM1hxea248phObk5jKFASkOECK3BImDVC78CANgxIM9zrqhGC9KaGNhAY7tiHMfcjvw1DMMvX768fv3a9lJulLIsoyhu5YeqqmazGdsvmFsQhMy8qqpASmrHoNb67PRMGy2lICIGiG2vpgYeA487A+0AZMAkhdDGsGBcA0kco7DtBZ2xjUAEZNi+tjYsNmo41vYhAIEhKssyCiMpBQ8zoHbfSoRi7S/FzcfvsjMDsu5QIFHjlrRYo8JpKQAAAQBJREFULFr3tTWsWCOKLrpopxoBBM0roVlCqrIiwCAI2KgKyNbCDrKgDkrpTl/8FBGIDFGWZbM0BVxvrsi0Ok9wpyart3QmnuYf4iXj5vr68vKlNWuiaGdgahk52lyB2NZW+5nWqYwxQSBdse3v9q221livahMj2noFMvSrX/349ddfCym6xRlS79f+HFuVFQCEUeg+pNaibZeG3eBMG2Moy7Ojo6Ne2nYH2HyGppWIaKNsrF6NwpA75ES6vb09PT3dZH3bnxhRzefz6eAMHMg4HZyx5sz187F1+1zmvnzomRWvmPv0H+SZ1C7YrCGArgLQQhDrJ2g7qP1gV252FGAdPluFLYQUdDkAAAEASURBVP4z7cTK5mQA4MScEVqnN2sXB4DVanV0dMQLiXWyY7ackTFymqbssUhd2znvsPktSZLwum699rjGOaVFgSwec+MPURTx3ppfHcdxlmXMPAxD9uxjQGA9HxmpsBiMcqxewaaxhb27u7PaSrtsl2XJQJkrnCvEamu4pNxeDIKJiO0grDmzGizOyGWxih/LyjpjAgBLaFsQERmo8UPb3GEYLpfLNE0ZOltXAK4NALBuCuwK8OnTp7dv3/IabJvDLttcUbbJrNcCEbFXNUvF1hxeF22zWrdQhmLQapsY4Vn1LbXKKlyv9PLx8fH09NRqrbjUVk82BM1cWAayttvzc9ZRUevo1c3SAAABAElEQVRMylnAwfeujrCXwIrECfiNvYcjg7br8NQb5PzT+/fv3759a3F8b5/gptw+RyilGHgNf9rHka5Ht7e3Z2dnPS+xPfdLLhFRWZZENH07a8G3PZezKQ1/3i4tNyKj4U1qCYvzhnzcrbIQQildFGWapCiw51//rMrnN97e3p6fn7sdrNe7en6uNlnvRVz5vMBsV/a0fNZqod4rjDHX19dv3rwZFt+SrShX1eQWjouCiGVZx1EEuK6r5xK/K8sy3mS6D3uy7dNpeU7m3aPr0QuOTqGnQek2itXqEQCx28OLFy8mdngmnuG9gLOnp6fj4+PpwAUAlsslAEy33dGY5mwKN15TA2drIwAAAQBJREFUppfRnurYC5xVVcWLK09PiGjPg/D6ZM8agKPUYd2DVSdAO3o5MZMFee6yZPfWXHGsG2BNAzimHPbgsYDGgieLHhhRQasVYIRh5eSM9iEvz1mWsScHOUoOxkDUqvStpQkRWbliLQX2vAl/vb29ZV2uNYpxVVgoYFNCaxSz6zoLaWHoYrE4OTnh1nKXZHSsAC4Otj0GuisrVxE6BGNqv9E+4a73RMTTk2sh3ZRxlNzEVsU1fU5h/fmQDw60kpsIWyfx29vby8vL6SLZydSiuoN5aq1vb2+HLoNbSrepiQHg4eHh9PTU7UuHSWWMWSwWp6enw58O4Pzp06eLiwvrbOuW657ZMA8AAAEASURBVFl8LJw6YMbsYSOWIc9z9r4f5dar/+3gTGvNWxFrLO5NxC766WGsgaOCubm+ff36lQUc2Or/ejBunyKP4Tkr1XqzAd2WbaXtgLOH+/uz87PRanC6q81Cjcav6/gI7bH3o6MjO/u5b3erXfQPSLnMG9B2/eX65ctLFGILOOsWyq0BsBq15XKptW77PLb/bgN8W6A2rztrbeXAy6LXG7vDai2tqpUxFEaNk+UWYfYB7k9PT0mSHHBuejh8+IjldJwH7RK2fbHYsrdx07Dn5fSICuAbnDHcsu4rWyjgIxJ20eqhaaukgS5WcIGX6wwIbZ/gJRm6ExkRMRSzr5jNZi4HC5JKkEFwAAABAElEQVQQkbcU1kBr9Q2c125r+Dlrj2wa/sr/2lWTzS62O/KH3uE49rOxtcY41R6S4AmCXXDm87l1YrVS2YyWuStzb6W0hrOTk5NeU9lKszMaDJaE0a55f3/P59J7HLbn6v3EzWTF25lxCysAyPPcmur25zAkVghvkuS5zO0JxOn47MOHD2/fvh1to2eREOLs7OyA0o02sT12PbGAjNRHwdkBnC8vL0cB2Z7Y2iXrKvfcjD1iGeI4fnp6Gi0mPL/z9zBWDz3vz62u6+PjY8dCeHhrIuLDw8PZ2VlXmA44s/x31urJyWnvGIrNPraXGAfxnJhNwMO3773jsrZPSJJkTKj+SwdsdHUFnwAAAQBJREFU+4ZdNgt0fz2EEJF181ZrAIOZebSMg9kSiUAGQbHMwkhOEckSewUckHE4kydJ4gWZAUCe50qpKTEHLHmZHJjcdXAiYXsAdp+B3PEwswdcN63owxVodMixsWkTn56mcQs3IQTjm+0r3yYObi4isu5WOyfK0YcuBmUN2agw21kNv0opr6+vR8/oPZeIaJ+wDjsJEfloyKa16lnEttfpnRsR+XjRdJEAwFfsLvIXaYLaM0FeuLHfmBdWvTBUU4g9NYfPd26U3Se8bXAt6c+i3gxArbPLJi3Cc6237prnvmsfPq5+hYjiOK7KenQxPmBAnZ+fD7pEZ3neKqFNKQDg/v7+4tri+/8AAAEASURBVMW5FH1v625j9dd+91f7OUkSANGaLNdZWBbLZ1TF2PsahOzSZhyDYL8IPY3jKD4p8lJrc3J6wk5x/LCHpfbcbfY0F5uopxQc1gaQ0Eob0+y4bCmsGMNhsp286IH4vewCNP3QHgBYJ+AttGfN8x7JdQc/mHDM//tgGkWNXXVpQ53mYY2il9e759qmEHscT+dDE+xNQ2JbjxdWRHR+fu5Lttvb2+lMnEnTA52fn/tqwffv33sBHETUU+FMoZubG19SeYkyyHR5eTlFEneu//Lliyeh4OXLl4ft13vEG9Dp/cra0ciQlAHsoTTaSdYD5LmSDNfXuqrqut7l3r4v//fv3+84qnIzAAABAElEQVQj2K4aIACaz2fCiRU3pdKiKILm+ORQ39avkl4tuV+J6NOnz73sXc6j++SRV8dJPJulO6t9n1LTwKtsDxpWBcOv7cc5n0dZlvmabaIo8qI54wnQVxk5gKgXVuB1ct4fivTBGVuOJhL7NU/nAwDGGC84j+Hz/hqvndx8xUwnovv7e19SzedzLyLtbVPYTQ8PD75K980330znw6zu7u58sfJyxJpZjfrdH0a8Eh9Mrobg9evXPiQCALi/v39uFkQUXbLPp0+XvLQLFBxXgiNm9NLs4x3S4zkMereJNjHnUkdRnOc5tU6NU8AoIvIm0NanNSz0KrYHfQbYghChqkuOstFL8VchuwAAAQBJREFU6QrvFtAC1t67jDF3d3c9hNS+kY/uGhepWDQmnJA6drV79/U3AAJADJAZCQEc1dbSAJyt31KWxXK1aB+K9q8zxvfXVG1HG73ubQsuBHQeIgiJYavcHZRi4zDZRKenp150XQDw9PTEwVmmk3scfiLFccxOt14YCk9nCzapOUfVe50BKYSYfrMKNEGG/NhovcjDtMVycQA9PDx44cOIyksHeq5me4tIRORrvF1cXPhSLN3c3EznA+3y6WsW8HKPArSutV5YAcDbt2+nZLeVQ0S+ujqs110PZM/o7EnUxuVxeyPPiYagva9s3AJCbZTEfZhje59ML81O88qQv9IqSRIv9akPK2YAAAEASURBVDUqvNvKDoZA1yxoC2V/JYIiL4f8LAdq3ZetackeUbRf+VcpJftr9uy/RMQvsqioV3XGsOGv47P4+PgAZNis2aPRCnGPT7l1EgSBs1IYaK9POGwe26RVGnaqQVWvHzaspB+HMwBYLBZetB7kKXQoUxzHXYe/Q4hrrK5rjxMX+NCpQ1tdsJ9mfb3XofVdZlPJFx9oQ69N58ObLY6nNZ14G+qLlS/tq8fVPYqiKcFsXfr48aMXPgDABwum80FPHhJMnz598sJHCOHxoqQffvjh4LpyVyxs7znxQr3LK6cQx2F51ow5TIzYoBAh5Wq12omfdnK2S/4wzXbm2B6Bch9yvBhac4xbAAABAElEQVTw1OdXq9XQH85u5d20Q58tF5wB4D5G8501ycsEd9SxykG3zjYlsHIi4vxoZiO77QRnrhhubx82BCK3wIFr83MR+ZjATZr7+3svNm4A8HW+EhE3XSN7AKu6rh8fH6dP8oyBfK3RHolR457VtdacIWJVVV4c3zx6z3FITC+sTBsSbDorIrq+vp7Ohwkn2xDtkjDF08ilqqr4KPJ0Vr4AByI+Pj76Mvwvl0tf+4ef/vSnXvgAgMdO9erVK+uLs13rs52MMbylsWqPKVL5siYTkb10cv9cm/R2iGCMns2TLZXEGTfVpIsDRBsVb3p1IUJVFYjkZTa9uLgQTuQ8t2N0AUGjdZ1vpQAAAQBJREFUK3If9gpy//CA4MKXEf2TW1f2ay8lIr5586ZXVy1iZjHICtAV1bR/6+Z4enriX92iben8jRhk9XANVVU13DAfANytGnVTAuY5bIWxMWsQ6ez8BNGP7rlq3Bk7dFiPLYrCl9aDbZG24fYXpteZhRAcL8nLMPRL+6v8OwhuoluDy8cXouKQpNP5MJSuqsoL4BBCeDnuy8Rhfryw8qXFCcPQi/saABRF4UshDAcdUhtl5SuWIwD88pe/9DL4jTG+sDU4oTQmkhDCo1/t69evfQn2XD6b9CisFwkCmef5ph6xv/bFLq7Pkm0TEVEUR89HBeO0WCy2wJShrmjLW89Oz1xU1O9f5LIAAAEASURBVKvYrpG0w3xYUcMNiU3OEHeDvnOE3KP9Lm3D02NWwiRJhtP7YW1Am6MwjHXFbS2NjT3K58k2LzSbzXydMS+K4gC31B5x/UgpfS1h8Hwnik2EiPt75Hf6DTviTJ9ZOL7rRCZMHEF+Oh9s7xXw1bM96vO8dEfWCkz0NLKklHp6evLCyqMnnBc1NQuzT53vqXN68+aNl06FiI+Pj9P5MC0WC9PG35/i6UVEr169Mu2FVBPB8c3NjS+zpvV0MV3aM3svk1JGYCcwxM6m35JGiECgZH8pK1XP9WqfQdGDelOUoER0dnYGA5DR8DSkFVgHr1H/vJYMgLm9u+YL5l0doTEcw0LdlarqAAABAElEQVQgSmwrs9f3eo2FiEmSOk73TRoisnyEWLs0CeeuM3QONPCvURgDCWOAnePdlMPu0RQcCBrv+4aPMaau66enp+GowcGBhu3EYIsX9X2mQSshNvpXbOOJoBXM1/o1Gm/5sAFeluX0c4TcHGEY2rCxzxLGneVsNXIIfS8qJ+MpkAUR2esKd1In7jMXZroEvSuip5CXA/MwpnifQsaY1WrlhRW2p6i8cPNiNrI7Dy9S+XJugDH3NWppfyZcqJOTE1/qjcfHR1+sPKrf+eJXL6zYr3YiN24mvvh1ukiISIbqqjb68It67EcAQITR/eSwg412OfuENTeif/sh2uTPKv7BUKwnnRCUWwAAAQBJREFUGwAIIdzzNH22z3OrwjSdIT7j5qgtpZjNNjmAN4coXdsobEA5/NPT4glwJDTGPuK5PKMoGo0sP5q4/cn9WyfgFtxZCe6vTuLegb7m9tUDJr0hlWXpS+uRJImvuEsA4N6zt39Je4nZrMknnb1MOPbSxem0v+qqE5Vea22rZgr5gpng9XiXaO8ZnE5E5Cu+ACJ6CU4GAETkK5SGlPK53tabaLlc+jr4+e7du+HDw4RkwLE97z46JyLypY4lIo8erH/4h3/oa+BwpLrp3Ijo5ubGzxxHACBQSKLnRRCw5GhBUAgIAikD0ft10/JgH9pqsWl4Fs3zDJCEYNAgeuCM9o59JXA2h3IAAAEASURBVITgi9RcqZ7bEFY2viOuJ4aNyCAkDIJHNDJ0K1YgoBQBK8nclACAjRYKbHK3ruy7wKn/6+trAONmsYK7+GxY1S4xt8vLF63z/rPrxzYf2/FZsz6scJvY1di1P42As/07JA3ig7jlAxCIIoxiF+w9r5xdOjo68nXQZ7VaTVf5Y+soZt1gnltMt6cBgJTSYzBLexPjRHqWhqijOZNS7h+hZ7sEvmCmL1svEfFdltNZAUA7p/ghvlNlOh9fx1HbBSafzgoALi4u+OaJ6axGPeoOAA3oL6IYIvpSMRLR3d2dF2UJAPzsZz/zNTENg9BS16loT0LE4+Njvjx+omzUhG4nITurzS5RAAABAElEQVRmuOdKZRy38WHenoNU74nFCsaJQs5rAzs/GWOIjOO63ue2u5hEfLfeswplpbKAg+16q9XKvdRrD7adMq6ZA6xWK7YgEXEZm9RbGsI+t0svf/3mm28sghnWz6YaG+1C7AC+pWth95hCryrsT0EQbNrluuh2TyO1WxVu5Qwzul9ZKJaLz2cYowEaANerk2cNKH7vcrmcsli4sCmOY184T0rp3uW1Ty+11dhLSUQeo2d7dKOHvX2iOqPCCzKzDL3w4ZugpvPh0nmMwO7lwiUmL9pKACAiLzGEiYht/16kur299RVaMEmS0YnVV2c7gKi9YXc6KyGER83Zly9ffFXLEMgeUxG5SgAAAQBJREFUUF47wxzMoccNEKQU0yMLkHPQZFPvQifOwhCcrUVykNCw8hEP6a7Tgax9nXs0Zx8xtqSxwQsRwdpwDwORnz59shm3VPg+3LYD2WGTgdNevUoeRfnPbT7mecDmbVBuDkuLZVnwgYChGM/tJBMDF1hwxrsRj1oPG0rjua3fS4aI7GTphXzhImi1YPuk7AShtd6I/7+9fidJKb0Yxai9W9NLLbOSYzofJl9WP/B0DSIiKqV83VvAwcn2YbVT8+HLl5yIfB13QMTXr197gUFExP7yLreevmF/8qWOBRhxxjrYx/b6+npYVwdovHijbHc1OLAxbcrVq0lbEKWUu0fqpaSu25klCSAAAAEASURBVDvLy3/dBEDNcTpBA0PeGJMdzcomtuEyvDMjdiN6cOKrqyu+188M/eJbhMr1wX/2td3qNQDm46f3FhaP1id/4z9rQHYLgq3F8MWLF6PVMvTvHq0fcMaI0QCEAP1QJm5tiPZ8QIstwBhAlOxCx2m01lmW9dpoVy8lR0UK4KBqDlA1HNdEIxbkYVex6QGAPSjsr1aqPcfjUJ+6M8smct9YlqWvxYKI7In1XoWPfnUHgjGmNw8sl8vpIjFprX2ZNaMoevaBAJt5ugQe79asqsrXwU+PUiGir7jwADA9JrIlLzH0GVv72nbkee5Lc+bL0goAvlwGeevvq/k8xmfxNTEh4qZ9XZoxAAABAElEQVRA29s9QkZ/fffu3ZYxSC3tIxhPlwfUPI0QCCHdr8zVuhCNshlzPLceRwSO+9F2IbekMcZ4nBwOuEitU0ctIeLocRPrdLWJ1ejD0bjZo9PFzv5WViVtfFX/6KsVeEhRFLmzn/ve/fsntNgxiqKtyGndi3YxRiIwxpV/L0lGO5jW2ldsiNls5tGO9Pnz592JNgMVW0xE9KUhgv1uZN+HiKiqKnZ72Jm443PGm9Hpc4EvWyQAxHHsJcwStSd1vaAEAPAV2QUA2NPICytfg4Q1Z15Y7U/b93+8qfLSfIi45xSwD6urqytfnWpole5pX/YnXys6EW26RvYAcPbhw4cgCHoNE6MCoAAAAQBJREFU7X7dU2yeeQ++JnkIzogQQZJBY9h5f+3IP4QmQogeOLMPEcGQ5vMKo9huk4P5aMHF2B3qeGhslLOzM9aXuJW/k5sVz2YkooeHB9a1uX8OOBMsu6uBGy2jaIPiulJtkcdy6HUhTn95edGGpR2pTHQOeWy6MZNJKdXTYbvgzOU2+gpLnH7LbqStHOL+xv2wV6vrP4K6Uk4apLFzCaOVNuyEHo9YeglOZsm6dmyZJWBQ1RZ5uy3l65IbAMiyzJfplk/a7TN++xefe5HAYygNXzjPGZYeyPgITmbp1atXvgx2vg5+8mlNL6w8AuK7uztfLejxMu+bmxtfUnn0OfV41dXnz9zLIWMAAAEASURBVJ8HaKbjaLUpo/uVc11dXe2sK8vffVfv7a51ZguTfdqFCInIMM5DDklvV/eRZX6UrfMQhZCjF6gfQOSYILfDuH3I3QT2+IzW+ag8AACAQbDXnLyFm/3J3eWOtuY+Bjh+xfv3790sm3M1wVOco52dhg6C8NWr10O9mvtkn4bgNZj1N7u6zTgDtx8SkCFzwJgegnsAKMvSlyEiSZKeE0Wv3UenDpfsT4i4p1RbGNpNwsPDI+zXUjtpNpv5mpz39wvvQFGllBdVp/F3fRPRIefCRukwI8goCSE8ru6+EJUvbM20p+p1J+V57qUFEZFjOkxnRUR89ttLLy3L0hcMOj09nc70hYD5AAABAElEQVSHySOQ5RPpw9lwu8ZluKcnovv7+33qyp3W7YceGWO2n6TZNSlj6xGFiOjE327+WPExqoOhgbfQ+iEhEQghsB/q7EAa1sDBrNzm6LHqLaWjeds0AgHns/lobP0t8g91wPyTazTfpI5yPQt7qMtmQcSvvvrKfcsoN/6RVVZO1I9OketKPTw8Dqqh7TDd29ZdFc4oDBptONFGzdheedwPmQ0ipOkh5hq33qyQcRz70pxVVZVl2XAz1vu6pff2BvU+L90JzoSQ9ubA6TOhr/C/iMj3zu2TuDNcoyjyaKb1Qr4OkBJRVVW+oh6AP+8u8heZU0rpJUIEDxJfwdzPz8+96D6NMUkj3wAAAQBJREFUMXd3d778JHi/Pr3aaT9t0J6sfvjhh+l82E/WlwnYGPP582fs0vYs1HVnJkfRxed7hr7VtOE8/PCrXWOCILB+n+4WzroJW1HHXbkJ2C2MX8B3qoiOyzbA4P7v7YQIgARgtFZONmQ1zVj6fn3S4CBCb7tlE7vu847MHS/pHnM3sCr/1EtpNp8zcN5iCMznL59p7f/u1i2NPVzLNiz41dUVDPrMaG24eUeF/NWvfrVlJNLYSYjRviEDkSYbXYp7L3D58Nt7bMdEQvc2T0TcUm/uixgiWJ3fsOe4NNzPuGmWyyUfMyfn1IjN1csOzrCyv7rFxG4Uld7rLJPeu4wxRpNWhtURtHEAAAEASURBVPgkDQAAvHjxolcW+0Z2YzDGEAEQkkEABEIyBARACIRs7SUCo/X7Hz8AIZ/R0dqQIdP+aWWMdt6ijdHUpjH8It0SS86flVLGGKWUMVTXStVaa6M1GUNlUWll6lrXtTbasFaCp7uqqsqyNMYURQWEq1VWFJVWJlvlSuk8z+u6ruu6KAoOYqWUKoqiM/L5hgAv+GzY4w+joii8uN4zYmXP9OmLFrV3oUwnIiqKwssmxhizWCy84DMp5evXr42PYMJ3d3dJkkyPjiuEmM/nvjRnvjA6It7c3PACM5GI6Ntvv53Oh+nLly9v3ryZzoer3Vd1xXG8XbnrqhOGL3WfsHfsdtVHluHcAAABAElEQVTdboGoQV8ykFVVGSLRyYVtor3IZhVStKxskIj+Iu1ORC4a66XpTaR7NoSLTS3P29tbe5q7p7bppdxJ7959venNO/P2ivDly5evvx7n9tw9j9WUTORGNO5g8NxBYNrzg9jvVP0tx56yKaVgfbfmDml6SNRqH/kJhyUy7fZJCMGX8TAW4U1UEATGGFaa8sm8sizZAKW1juM4y7L5fM6wgeFFkiRKqSiKGIskSZLn+Ww2y/Ocg3eUZcn3F8VxXFWVFIE2pLWK47jM8jAM7+7uOFCL1jpJkrIseeEmojAM67oOgrDIM1Z187vyPE/SRCsNAEKIkpmX5atXr8qyqqoqSZJakHskPgAAAQBJREFU1VII4g2UaIaV1jVrf4xpei4KlBKhxUK8AvIHvpjb1qQxtdFEQIgikILBZ1nVwLfdIwghyrLkKqXWYhsE0ePT4vj4SKBQSgdhWFe1DJraFkJwiaqqQsQ+OPPiaeTxbs3ZbFYUxXTAwdXqNwitl8XPIyGil5uzEbGu64eHBy/cfMV04AmCJ4vp3G5vb7/66isvmMPXRUmI+OnTp00L1f7E9cMLlXHiox5Mh41lq4xxH97c3LhBR5k4jWiDHbgPe+T8SggiWxVRlGxSNpiBcq4rH7GpiAAARF3VWmtEAdRRcmELNxD5okOLYzQ4S137EIwGBKkVtdYvIiAAMHzmANcaArHEaQYAAAEASURBVG4ajlrFL9WauNqIrLoI61obTWTaJUETsEgEgEiGEKFWms1W7VEGQsQmAi4CEAIQisY8rTVZPR7LZpcct4r4GREJRAKi9iZNIIEIP/zw47t37wiQ34FoiABFo4lsjkFYLxIE0/Dn+4eAR7ExxhC8enVlNGtWGvwAbVxfVoEgEiCK9qsQaAzxvwQkUBAQAhqjF0+rNJmruhYCDZEUUikVBNIYMmSCIFC1CqOwrioiEFIYbYJAamMQUAislYrCsFbKaFPX9Wq5iuO4LMs0TcqyCsKADJVVlaZJWZRxHOV5HsUxAlZVNZ/P8rwIgsCQqav6+Pgoy4soDPM8W2VZGMRZnh+C54KPAAABAElEQVQfHT08PB4dzWulwiAQQiyWj6enp8vlMgwirQ0RzWbparVM0zTLMhTEAszSWZYVYRhKGWVZFoZhnufz+bwoChsbhVf0MIzKogqCQAayrqokSVarLI6jWiml1Hw2K8q8wToGlNJhpOMoqurSRmhnOMJr5XK5tME7hBBFUbA8nFIplaZptsoCGT08PpycyDieFUWZJklZVGEQEUFR1LN0nmdFms6KogijIAiCLMuP5kdFUcZxXFalMTqO47ou4zheLpc2hB5XQpqm9o0M/vIsj+O4rispZRhJpavjk3mW5WEYAZE25ugoLctyNk/u7u7Ozs6CMNFaz2ZJVVVxFHZPeYe47dGsPgAAAQBJREFU94mKMAw5gDZMCOpkjDk/P1FKhVHrih0FANDDXayQQqtvJKLVapWm6XTbHxHleX5YbOshnyRJpq/HrIpkveD0pVQptVwupyvPuNrLsozjeHoZ+ZDRdC0Ob57spmEit9VqJYR4VgFdjYizUzGfPn26vLycjvtZZT10ExmqE/aBld9///27d+82qRj310mw2vxZuyMrIQJSV2nx4cOH169fN74mgLyAtf9azEE9Ph0iICBj6MOHD19//TUbX3pNA9BXhNjpRLQxqFztkdZaKZ0kcSc9ESA0izcv9gAELlywGixr1CMgyvJ8ls6EdN8+0KW1peV1vjUhQcuW+EgmEGV5kb0mL6AAAAEASURBVCaJEIIBiGFYhUikheC4spKMQSEQsK7LKI6MNoZISqGUFkIYA4EUZVnxGqOUCoKgVlUQBHzkIAzCqqqiOFKqZnSilJnN0myVx3FcVTUixHGU5dlslmarTAbBcrGK43g+n62yfD6blWUhpBSIZVnO5/PFYpnOUq0UaymKoojjJM9zKUUUxXVdx3GcZXkUBYb03d3dq1evnp6WZ6dneZ4hiigOVqvs+Ph4uVwmSVzXiojSNM3zLEmSsqyNNlEcaVVHccQR1xCEUjqO49VqdXx8VBQVkUmSuKqqKIrKshJCsNkpDMJa1VEYVVVNZOI4VkpJKXjvJ2XAV+J8/PTxq7dvi6KEoE97AAABAElEQVSUUnADBVJqrQmADBFRHEdVXQcyqOoKiMIoYkiKQmitERAQpBDG0Gq1ms/njUGNDAIIIYUU7JsYyICAWL/C2wZ7c4khAqIgkLVSURhVVRUEUikNAHESV2UVxVFd1wjNGeEwCuuq5i7KIpVFmaRJVZZSSkA0WvPDKAoXi0WSJHGS1FUVRhFrfMMgUFoFgeRKKMsKCOMkzvNiNktXy1WSJsZoper5fF4WZRQnVVnWtUrSiPEEG+LZ3scn8MIwzLI8CiNW8QWBVLUOwqYgLGoQSm6pLMu10scnx0QkBPJ8uKdJoaOXNc4Y5fpoBzu2WxNsx5kzb4hmkDd+dc2hXa211e9a7fFfmQAAAQBJREFUUGjnmRarNBNC+996ODd7GGzmoIeHB/fe6qGqePh5U3lZbZYkyXRwZiHNzveuJ2W2vY6pYZ9NRVHwGjNxabeG3ulxK4wxWZZxpXiBQV6kYsFubm5evHgx3YDIAHS67pOIlFIPDw8vXryYXle3t7dxHM9ms02seDIFx9DTAwo8RLl0jK15oNrE9usQYazhS3tpHSJqrT9//nx1dWWPu9sE7kh2bQGjqgX+wJMd2I1/CyXdaYU3Bq5VnaPu2dvJeMV6fHw8OzuLooidS4IgYP0/6/Z5OLRb5JBjF/O9F0EQFHmVJLHWulZ1GAY///nPv/vuu7Ks4zjWSvP2tKpqtjgw7K+ExecAAAEASURBVK7rMk5i1qizhIi4WKxOjk/yIk/iJM/zIJBSBkrVSZIURSkDZNtEmqZsjs/znBXydV2nabpcZkfzo6qqCQwAVlV5ND9iVfpqtXp8fHjz9m1ZFFEUl2UZRZExWhsThVFRFkmcVFXFjcK7ZC5p42tCBARpmrAbh5CiLMrWH4C0MQIFe6cAAHvdslS8UVZKBWGgahUEDSwARCmby6T5CFUQBGEYci6OoREEoaprGUghhKoVIgZhSMZEcVQWpRCiMUAEQZ7n6Syt6zoMgsenxdnpKQqhlRJSNuApjbVWQRBkWZbEMwAoy3I2m+VFniRJXddSCJYzTdPGilRVZVHO5/O6rmf6uAI/AAABAElEQVTz2Wq5CsMQBRRFfnJywhoF/ldKuVgszs7OlsvlLJ0rpZVWcRTzHr0sS4DGd2c2OyrLUggpELQxEWOIOKqqSgoppaiqOkniLCviOOKamc3TPM/YOBXICBEfHx9fXF4URRlFUV3VQjb9UCBDAZIy0Fq3FS4JQGsdRyEXVmvNnvVa64fHh4uLMzu4eKTbucIdenZkMSjhlHYSEEKURRVFESASGSH6wxlaTNY9GIEM71wqiuzu7u7t27cAMAwF6lLvCtHRNE9PT/P5XEq7pVzriZ0sI96N7Fjm6pIXi8XJyYmdWIYzqp213BXcVSHb97Ktzctiked5lmVuFKct2vrt4Ia1wEpRmgAAAQBJREFUHttPmrv1NlpSLiP7h+0KMrcXGWN4rvOlJOKafx444xnBHn5x07lr4TrzBtUCD+l9/Ki2Q3UiYlWqr/plVu6ifpiEozqqHlwY8gFHj+J+4GofDqr9yc5fnz59YmPrFlUNtsYmF3nwTzzx8QLJKmU2ybseCbxR42mR+TDO4DXPbr+s18JqteLAHFVV8YrOwIKIkiQt8iKOoyzPAYiPKzerV5Jorauq4m09eza8f//+6uqqKIqzs7M8z3nRrev6aH708Ph4cnKyWq0AeOvfODpIKcMwzLLs+Ph4sVjEccxwfz6fs8NElmUWDRwdHeV5bnEPa9RZcqUU52WdAadBxDAMf3loLOgAAAEASURBVPzxx5/85CduIJwgCLiYdrJwq8vuf+wsyfXJCzMrz1n3zl8tsAOAMAyrqprP54wJuBrn87lSGhG1UkrpOInZzYJPwDCySeK4rlUUhatVFiex1joMQhSgtWZXEn6RMYZhUxLHSmkCEkJ8//33v/7rv95YExRrd2J2BuXq4vrh6pql81opKQUAlGWZxElRFrM0raqa19SyqmezdLVazdK0VrUQAkEorZMkLvIiiqKiLAViksZFXqSztCgaowYD07pWYSCruhYoiqJIZ2kQNDAXAYxp7iYhtnVSozgzjO+1FlJqrQUKbBdvYwyiqMpKKTWfz1qNnTNMmlHDBjcQ2G7M+TnUmFwAAAABAElEQVSAIZKsLuJcZLJVPpvN2gObjX6F3LBe0Fj6mJNAbGyUorV7IgCBMWa5XLF6Q0phlX696yx7MzPaF9sEAIbMp0+fXr16JYS0cIRMcyCCJwKuCq4yxPa0BGJj/+WFH5AAHh8fT09OHLOuMxc1tlSyv66bAPvXkmutVV2HUQgbnPDAmTN7k9hwV/b997/sGc3RUZS6Uyu1twUwBHK1yACgaoXChjAdTsguMlgzhO4kb5/neZHECa6lIkRXD+Tis35tuq6KZMzj49Pp2YmLXPuSdf013Vf08FyWZavValMIw/2JZy0i6hk03F3xUMJNDxmcHR8fb9EQ9ept2G341UqpDx8+85gWrAAAAQBJREFUvHv3bshnk2zby8ibzwOyu8SaMz55uRPVdLoImzV7nXsT/LJgwvoH2H95de/do8dLVI+zW067JbLFYIjA6yu3Fm/BGQRgq/bkhxY31HWjHmCfQV6oeGfMqmzGH3EcMx+WsNFXhyFn5PZgpQWPUs5rNRm8xPKCwQuVo5CoWx1+cycBS2Ulh9a9j/Hi4+PjbDbjrpmmqZUfEfkDL5y2tnm7zI6QrLTgn4qicKvFOnJySbk2AEBrzV/d5d8qTbkmtdb8Ci57Yxdo/UOtyyebiVkkavXS/JBhllKKERJ7gvNbGFJEUaQVhVFYlWzRAKUUtxTjIebDGhRWlnDrMDJgqAQAUdNwoVsAAAEASURBVBTlWZmmrQpHNi3OFc4ghjNy3XIrf/78+eXLl6zKYmm5WaMoch8yBy5dCw5qbk2uc6UUq7t4bmLmrJhhPtxJuJJZu8AZXcjLo4kdSDmCiTuyOI07anrbbgapziQOiPjjj+/fvn3D94K7k5fVTLizW2+u6f1kry6xaL43DwwnCutA1pu/fvzVh9dXr8MwhE6UihG1gaNggJEZiEgpXZTF0XxuzSX21a5gPbI12fVIE1rrIi9ms6QFbW540mecbeKXFkWZJmlrzhkWc/1w+35MK319c3v54lI4M3mnrdswpD3tyCi31WoVRZGdB1w+tr8xg2FeIdY1RkSLxeLQu3fda6AKMyo3AAABAElEQVRAKfX9999/9913z+fDUnUGgtWsd3tU54go9PvGSKPUlbq7u399tSlYEgGMb6R7aiEyYIgWT4uj4yNnCHcA6lhH3WhhyLI8joP9I0duGQV2YdqHzxZinc5qtRrGOdrfAmhTaq3v7u6Y1faM2zs8tec9h/Yot6vvqfQhIl7crd3mYOMmVxejo93gjHEcv2y1WrmLKNtruIHtHZe86rD+II5jbBXFvUMAbl53tbNLu6tL4Fbp1SPXrF2VbXbWMTAMwsZ9oTG9M3O7yhIR/1pV1Ww2e3p6Oj4+bhQJScLyc9+VUrKL5WKxODo6Yp+kMAyXy+XR0VFRFNZwY21Md3d3p6enE0ao3QAAAQBJREFUjFEYUljrCadhFxDu/Wy/YF2UtVjxK9iYzSVlhBfHsS0jAzU2E3OHs+4FXBu92fn+/t5a2Xu42baUXTKH2xf7pKqqp6eni4uL4RzkovDh1yHZWWBDRmD/nt6E1UMM3JHYj8p6inSL0GyRbamHhbLE0NNugywru1EZ3WxZhi5nYwwr9oazwJY6GSWt9adPn7766qthxl5V2A/gKGN6L63rWggp5UY/EmxVd70W6SU2xrx///6bb76xKW0CV//aaxHL076Ff108LeM4iWL2ebAz7EZwtulXMkRksiyfzWdSjm8gR+vQWc6RDGC7jCqls9Xq+OSk1SK5eTcqoaHxfgNs9xnDYTkAAAEASURBVPnsC79aLefzudgW6sz+1JGqByDI0OPj4vTsdJM8RGYnOLOQa7VapkmKotHd9iptDJw1rdOi1XXP//HH91999bZxaNyqp7fMbV73CSt3d61Snbpys/fe+8MPP7x7965XtN6rB/bEkRdppaq6StN0CPL41lQnfQf5ueMU2prPszxNU8umt7r3Bu+mGuAsDw8P5+dno4MUNrT76NgnotVqVVWVGwnMvv1ZmMMYwzEgWN3Ve8smAYbyQNsDLaLanrG7uepvcnit/OUvf/ntt9+OTub7y8bcrELBbaPDwBmDhH3MmgEvdYwDpJSMzBg0sL3W6qXYPm2MYaXFfD633oha6zQMSnTKAAABAElEQVRNrRrAHv1g/MR4kyERwwvGMRYuEJE9FWKrw26+WX/DgMb2IVswBoh2amM+fBaB2uOZLDlrp7hSaHC3A8d64O2gVfvxXYf2rCg/5NvubBwpRnjW68hNkySJKwa/gs8wc7VwwZ+enk5OThjasi3YbmjYra0XTITf1VMjW6WjixJ6iIG/bnddhzaYLUdFGva/HrAbxXku3d/fp2l6dHTUM5e3GQEa79CNr4B23L569cruXUZLwP8b2DU6xP2HLac9VjvLMpRfCMFuyFvw3J4khHjz5s1o6YZCjn5wP7OBG3Hb8ZfhkjkUGxEvLi56U6Gl4Xh0R/Hw1VVdz2ZTg6oAAGBzoCVHkgAAAQBJREFUbhFa69lwYRsFZw4DoLXKBKQUQo64c7RpNwuCnWTYgq2tyMzluQ3WWEtoV6qR5t6H8rxI4tQ6WO2dd2h3g9evXq13RbvOzbiIs/dcCMHHTXbJ0K+u0Ze+evXK3dfZlE3OXQhyDc6M5gNtrUnWlRmAT5CM5h+MHWMMir5P26YsmyXkDkDGaPPMSOObJsAkSXxFVMANBx7375xuG7Hr5HMnz9Et6Lt37yx/a8d4rmyWv9grbvBuPk9PT3sGGw/s5RLsKCPa84zW2723ovMHLqQtKj+0nYbBWc9s7GaEtnZ6GHlYZawist1oU50OR0Xvod1bYEvbOWynsiwXi4UNGjTKZxUy/C8AAAEASURBVEuh3J9457EZcDyPvISYR0Sl1GKx8HJT5/n5uRmLL3qAVMvl8uTkxEscPjZ3TucD/kJp8M7YS/gSaLcZO98IGy19ayqKYp9b6mwf5g9mLKJpli1PTo4kIAAY04mwv5ktDMthDAkJgAb6wTrcNOPBOLBRNVm1GQKgUrXR0AUBVngx9nAtHh81RfbdRmA9HBC6Zk0i4tsIWj592Yb7BEQkMqvVqg0e23Ekbyt5pKSOp6OVnwDMxcUZw2lEq2nrKcl6n5sYH93qN4hw/3A3vHRu0JFatSQ1Zo1hSgDgM++94ndt2Qa6OjMchGhhurt7eHN11fvFSYkA6P46EHhtt+U5udsdZxXoAAABAElEQVR/+fQxQOuB5/42bBR+jG101rWtk8hVPQxL0SN3xXSdjnbqujbpdVjIqmoCgLkPdwozSlpr3qBuStDTCm96yGoz1msM125bKFvwgZ5ynYP/d3//cHn5kvsSJzOHhhaymPgAbZlLiHhycmK1V9up8yYvYcBYG+TltnIAYM2ZF1bW+jmdVRiG06OqQtu9zs/PvUhFRB8/fpzOhxXLvqLsFkWR57kv+OKlogCAQ+x6ker777/3wgcR3RjuE2k0iuZmg04jwOjzPM83ZcTu4W5yaJTVmzdvBW6c3agLflxWvQ92Ydv/xghXK0+0xkz8XG7zcSHnbwv/5gMCUtNR9+2rvXpbvH/n6QAAAQBJREFUVyDRfD5/ziUFrQxrFLiW4Ve/+pVWultM2iInrW9t79cAm8O2t3VPANrQsk9PT8Pn24f5pl+lELSjmdxfEQa32jMFQcDa4rHiN31vk4BdbgjQ6Gz2LMJ2Yviyf/otlcmHGQ+QYUhRFPX0FNSlfUTiB4ji7u4OHY+LTRVFfbTXr2FjjDF6ew/fnzbduWTnov3bhWNLbU/DbPvXvB/WaXrELlbT+UCrkPTCipUlXtZRXyIBgFLq/v5+Ih5nQsT2+PckYhcW9867KcQeil76lS+1GQDc3NxM11EzffPNN8+aMTcREd3f30/nwzR6pWlvsut53Y6aJ4iIrUXDurJ6fjt1dLvUaOsAAAEASURBVKdUdC6gbP4+ffpMZJ/vIFfJ7Qpg39hExHDK0pW/f/2lCyKbJ4DYxkoy5EJ/V/hRZNYpFxFrWQQRakNCCmgvUHe09WtBelaF3jpkPyOiDKQZuNfY7GIDueBMCC64ePvmaynD3lrZ00u5RUNsz302NbRGtDw5bFo+bVNgkxEBOgc79li5Nw7MQa51S52dn0Lrre/0hGE7EoAAQNMHZ01KrfXT05OU1h2uA84QAVEiimH1j8hGACScPj+i94Lu0OvxtGnYl/y569emKS6OY3bamUiIWJbl09NTT7BN+Mx9KPpHMgUCJsmM4/FaGp2XrJLednnnptRmijg9PXV6uK3/QwCzMRyTAAABAElEQVTA0CfeFufHH3/8vd/7vT2XAERsQ8nsIGOMG/GFvAQdBYAoirIsm84HAPgUghfyqHcpy9JXAaWUNibyRCIiL3eoszDszDedW5IkXgL/EtHT05MXGISIvu4tAE+3rHqnN2/ejM5oz20IRLy+vh7NaAcU7WegAYCLi3O+fXKPP2wXdbTXXNo3GkNkCGhtQjIttaLigNWYqxA2czWbLTZUDq7T7awuAIFCoKC1zAxKOtmdh50/Itc6A0RgdP9KDNp8DWWPbM0QERDd3t0QmFaXsJZ3UDRbb6MDBAGQw8OuH413D1tG2+IdcxV/7trxcay2+7U00hZExtCXL18aMEXu1ai2UgsaTgAAAQBJREFUOE1F2U67CVxK2Xjcuh2bCIiwx9MYaP9GhkD7oo1dx90t2K67aZ0iotEjftj60fcyOsOzEdLlWlXVcrncIFcjz54zJLuq9xKjQy5PN43bV4kMgCEwYRBwji0Ze9u24UTEP93f3zs9nLtfp4Cj9TZKog1mZLNb4PjVV1/95m/+5p7AyRjDZwt2puxr8tl+sc87thPHRPDCygs+YPLl/wgAaZr6svppre/v733VlRdjK/d7X+BstVotFgsvUp2enk7XnPFc5kUkpsH+70Aiou2XA+7Ph4h+8YtfDH86THPMTnVeyphlqy2e8thZdkdX6IaEQGMgDCMxkGqgprKPt82eQdV6PvkAAAEASURBVDccSS/v/viM2ksOullGs49iDuwlWa42rqDd926fQAiQ5vOZ1eLZFyDuVa6e2OcXL8hZLjd3jz5zm9Kurz/++OMg/bPBGSIi4Nu3bwdKtS2djWnEnF3X1d3d3Wj65+pdjCEpN2prevW2fYhJKfnU3RYO28mtmziO93Ek3YeMMRz4qSfVEJ/tISEVZe72kGGaUc4WnLnJXr++6vZwsg6sz11wXSU99GHl81gh4s5VrOma7iMvIe+hDaPiZTYX3VPi07l54WOMWa1WXlgJIbwgKgAgoqqqvLBi+OIFMp6enp6enk5nRUQ3NzfTOwO1QeB84f5DAz6N0PX1tRc+APDTn/6lMZIJAAABAElEQVS0t40+uOp4oRrqZnrz4z4TsVJGK7NhuXX+CB2fcAIwiE3ozpY/SimLsuTP7p+jJNgOibqCaS2Fq9+lnsZlQIZd43spEaEbbaGfZcBz9CFA22RJkpITcKSn/xiq0LaUEZ2oOm1NbiwjNqcZjG1eyxMBPn38hEI4db5eqqwyydVc2ortqXOI4CfffAtrnYct2071aoe4ta+vb1uF5SbCgUkdh/ow7Oxy7a9r/Z9TS4A4ahpu6hAFGmMxAfUkp75Le+fg1LBl3cs0afMRqzaj02QIvXpjV+BN2bcwH5IQgmM+WIGtrs6K35sl3OzOV0QUJydn3CLcPYYZXVWZi42cukIiPyCNuAAAAQBJREFU1Mp8/vTFbSvmqbVxb2phsiq3ocrQOFG6uuVGItH+bdrX9QkRbQz2nYk7ZycPgIGjtL+ZYydxCNDpfLANXTGdFfhGVKMeo4eRFyuwMYaNrdNZAcDnz5+9HAhAxMvLSy/wmg/L+KrzT58++VJ8vn69Ke7l8/gg4s9//nNfvX3TMYUhGtuJz46Pj6UMdoOzsfWVwRl/JiJt+P60TRn3fwjQhommZ85a7Yq7JgLQWruLyhRCgCCQraj7q21GCoiIj4+P9vN28bqYG1rdQ8OTAN6+fbPpRWPcNtcG4R//8Z/sUaLdhAgvLvi6uU0ioe2hYz+5rNZ7gO1l3NnIbQuOHDrehNUbSYQAAAEASURBVLG2tE6e567mbFc7olPk/m9xHG/XxezsJJaklNtvA9rCqvsTEkHrd4v2dzfxPvJwriAIXr507z+wOHX3TeejHAd2fJACm7/n+INlWbZPkDNw/ROhDQT/XLmH9Nz7m7dQkiReDpUQka/SAcBisXAPGU0hYwzfbTCdFRF5QVS8S/jy5YsXqV69euWlM3j0ORNC9Ka5KfTtt99O5MA7Tr5v5IANUk+hRYaA4Jt33wqx3tUMnOUbcvVhm967Wq3sr+7URt3Ncc8XCgHIuI7AQAaenp6ItrRgq5xAA0jg6CQs80YMwEAGAnGrB9tasJ1VWpVVd9ZGGJwn6JIAEMPO2DJh8yaTZUyHAAABAElEQVS5NWATAEDXH044bjFdtRDiYrHgdUoIq6SB4UmL7ktG1EtEdHV1NdRgDcrrzpBNGduTo1wcA2Cub76gU/OO93o/u+M12HjQd5db+Pbbn7hiAhghQIidK6gAEK2vfdPZbm6/GNJuH0Dcfyitj1mQgSwrekrKURodF05puOv2xhe25y2E1Yn0eDqqL2FVUGQgjpr4nXY4u9q1fawBNn1VVRxRoaeIstx2TkR2SCqlVqtVt2s1lc+Bpq2iXTi3odgjFG7xhRAX5xduC9pfezPAmAJoPRaISCn94eMHpz+uPSmHvoa2+XBwtzh/7R0IaM8gQPO3N5AFgKOjoyzLnqE5Y/KiowIjUQAAAQBJREFUTiAiDk42kQ8T35bjhRV6Op0HAEmS+Ao7EgSBx5OtdnM8hVixxNcDTOfG8aO9aM44+NB0kRDxxYsXvpD6L3/5y4msOHsQBKOR8/bM7hIRPT09DoWiAe3Df9NYNhs4IAoiqIhQQM1X2BgiYwDo5eVLPyMQQBuNiPuckd8wdbpH8Jqp7znzwzpv5ykf2mzc0k3XzYBXYmKD7T6v0tpYncSGLONiDAgB4O7ujte2ncUcvIvYX8fCj7Ozs9G9jdVsjglGXD0uZwK4HXh3wX54uicfIGA33isRmAE4HstKrWzNS4NAnp+d7Vex63cNBSaWYZIalXqftDasYRrCi7HPnXK5H0VJ8/kAAAEASURBVBhwDH+CZzrRImIYhhzMsi/6MxsRAIwxrRf/c8nNQuxkKSVCsy0k2gW13Umx/VtTFEVVVe85bLdTG994N3XOme9zbcJOQkTjLzgZ31bkhZUvSyvsocjdn4qiuL+/94U5zs/Pp/Phm7J8+ZzxnZLTWRGRF0TFa7CXgHBM7969m1g6u6e8ubk5wBkO1+fJhRCCJ5ZaVcb0l88hOKORA+39LJsg4wbQI4gAQRiBVGlNuqgK9biArKh09eHTR+otzhtXwNGj760yBkAKwQZEJ/TDuHZwU8nc1xOQUoo/bSZXnWbz9nVsjL6AAIXoHkLCRl8CzV+3dC6f5i8IgjRJG3UO2TTS7KbWAAABAElEQVSDdagfPGIoMCDixcWFq7rY0OjNKzYgjebpzc3NqCmnBXDrunUCHJB1srKlIENRGI3q/5x+MqrVa36xhUDEyxcv3WpEFBzwAoj/RsvbAWf8qKzK27ub0a45jP7gamv6rKkRbOy9MNLiLGe3j7URSQAItNZ866tFCXbs98AZa9Zas3tTNDtgWSkwn89dmckJWjFUIG0iIqqq6vPnz6OJnzsxCsQhcNlqiBztG4QIQSDtte6swjYGyKAx/SyiHwaoD84AIM/KOE686Hb4qut9UjbqH3RuJKRpwdx55PPtTwczscTXWU7nA/5OAwAAa3G9FDBNU184j4hub29tjzyY2OdslToyBgAAAQBJREFUT7v4Ttr/mt6ddHd3d3Z2NrG6uHvzRUlepLq+vr66uvLCKk1Tc2gMa0ucd+cVKL1f3a+9Le/Nzc3V1dXYPLv2wEUnZjoCAFCgjBakf//H+n/6XZXnwZ9+yEye/Et/zvzLrxTVqAFQNmctcb0IbkYMYAy5I5gtHPwLrzvtirWvY0pbWgC2wCIAIHFQ/KYeAAg2nPLc4EMDIIWwISP44vn9so6Q0aau6yRJmjolIgJeNIksNGxE3VJ2rqfb2/uXl5dczHajun83WytjiMjOydSYw9pEA8+qnmd6z9gqJCZp7HYkh9t22dwszbL16dOnt1+9HdORchsD8B2hvVC0A4rj5KdaJRUAAAEASURBVOXL4aIzKtu67w1JCCTT2LfliH28JwZSqwEcvLFRBQmJFou7Y2V00hhVRlggUpZVluWXlyPHw3vc7GzAD93JgcUIZHh6et4ZxmN2Kjej67zvvpmA2gbaOB3tQQgE2ugPt7fvLl6WZf7wP/8Ncb+8/Of/yfvf+XvxP/Eb6U+vDJIAgQDQtN3GaQcAiCBJE76pqCfMAXM1u1ftk2vtc4aIq9XKi7KEr+uezge8ntb05doFAEdHR16CuSNiURQPDw++BPN1fRO194FOpzzPvVwXwbZIL/0KET0GJ/MYNWZPdfdOPjsLiA65X0dTvnz5cvts0vP4JgBtTPF3fvHwl/6H6H9m573VAAABAElEQVT7e+Kf+ofEd6+Kmy/LP/qjX/zH//mf/Jv/YfXbv1PmJXZn3bU7Wd//Glsw0dENYBshld/pKg4GHMalbldEhn2irmroBuLapUUbfRGvXsaYZgXdJcZWEQUuV0ty5SD28bbC9cTAwR9Au4geH58Yw/BkNPG+hcX28mLY7Mu4gcmQ6OPHD2PJ9petzUOwaV/a9t5NfPqVVlXl58+fNySDgWA0hKRt4UgI0I3WY3dxBqOskxgR4jjiqPejxws2sR2lJEkuLi42dZieRs390IMmAKC1LorCff8zIYv7XpNlq+fkHWdIAALl1cuXBqn623+Y/vbffPxrv1P99f/3+PMy/2/+3CEspAAAAQBJREFUzx//8v9e3DxSWWlNRpPRtKF11k/qqm77+aSpnlVXe0b1Wi/ASik75CYS28W8rO5KKS9B4am9a3w6KwBgtOEFn0VR5PHkYJZlXhSNfF2aF1bHx8e+dJa3t7cXFxfT8RkNrr2fSF6aj4gWi4UXfAYA33zzjSvVph0O46PhZGq/GmNub2+tZXN0F7tW2xAoACCz/L0/qf/T/z792T9Q/cZX5v/5g/qv/l/J5QX+2ttjIc3bC/NHH+q/8fsPM3n8r/1W8GtvYgpFIOSoksmqr9B+Zbd0BIBaaaO1lCE4ypstZJVNa25tLq11kiQ9ndn27Fad0EmEhIhBGOKOi8/3ImPMfP5sr/MAAAEASURBVD531IoAAgwB7ggYMU5VWcZR5BhGmvJsUvxsocVikabsKcusrNe2jUyxiexPzSu/++67sWR9rdIge4e49R8eH7ZFCsSNX3pvFCiPj043l6LfORztYPOgfQkS2X7TV/VtKQ7/0GsTIuJeCgPlFrYHC/ihcQKxutlbUQERyzKvqroXrbOnf20He2cawda8ZrkBAiIJu2lwrIHr4uzXxxCRLzO0pTts24sA2piPXz5/9frKnJ6oeRpnuVlodX0fqGL2B2X1eQU/+2b5d/5++I/++tk/849QEiEB3yznaMo7JxWGqBSgMx/us8xxxqIo9sFanfNcrFuavtKw26nHEBhe+PiRy/d1AAABAElEQVRSBQGAL5MfG+w91pWvOGdSSi/uawCwWCyCIJgOZIloNpv5QrEeabVaeYlIzBPTPgUchwVd+uGHH7755hubeBOTLcx3ecwMCQ0AKqryov5P/kdaLvHytH5a4d/9/vS3/iymafizn5SxCv7GH1CdJX/uN6LTi9Vf+ivlmXj5b/1F/LW3EfJ96KybsS41a+bt/5BXN60oSWIh5JYVbgv1Zlr2bSVqbUvUTzmsBsTmcsahOcl4Co4jEI1xA8yjs2bvw99q15qppsk/WbTLy8utqpp9X0BEHz58ePfu3c6ErqZq7BVEBFLIYVDitUzbhOojicHJ032ojzsBwBDJIGiuCKOeECqDVwAAAQBJREFUDO6XDhh1QZE7BMqytGfRelhh2BwugBjKKqWUUvNLR7OP5Wo0Zx01OUEYBMHRkSHaUvl7ViaHZG81oId3U/azO5rPBWCQxAh49PKi+vo8/Rf/sYd//78UWR6WBL9/FX55EL/7+3//v/jvrv7V3zr6F/6sujoLNV9rD6zrXIPoFvI6xRmvseHAd63AjLD31HqssR6DMy9zijHGVzh+vq18Oh+uFPCk5FitVpsi+B1ASilfZk0voTS4I/KlPdO5HR8fezmO6heW+Wo+RPTlcLa/sXUfJ4zLy8tNs3PPAVaM3fPYfgatKU3GQ/qNuAwjGaGrv/q7M6Vnb16bUmf/6+/UkOrswbEAAAEASURBVP/Vz3/3L//qb5Vn6c3Lk9N/+y8m/8Y/m/3hz7P/4/+ef/uV/OXjr/6j/9oYjbWmXhTSRklGKJzFC5sjeFJKrZ43XyHyuXfLf/2TMUYbDaM6szEtWstxqJ8AFCil9HCsCwAQy95J500WtHEiWHuUY9MlOnh31Pd/N/3iF7/o6glGT29sFKkFWwJBXFxcjmXHoV+8e7BghC9REMi9i9KI0T3B0LyxrtXe9+BtO7YCgE3ADMRdVUTOH7Q2e2pDybBsmCZzVlWI9lpbO1pxswu/1Y7bowM86vnK467Vcv3HzzkuTK/Oe/NJUVQ3N/cIm2KxcjiVnTWJACKQ4YsXL/kq0ikhS5/PAAABAElEQVRHI7mM0hAAaKng+kaVJalMvDm5+s/+3fDP/Mz8+X84+Qv/tDqNa6hPnhY3/9Vf+fwX/r37f+U/uPtv/1r+/kuNBgx7EDRNprUOGwWKsLK5OjPseuP1yMVnSZL0LlTYRGuFDbuBH1gZXeJQGl7cg3yFTEPnzrLpy3wcx77qKggCL1dPAgAROduOSSSlfPHihRc1KkdDno7PiGi1WnnBeUTEyvPp9lZiN2Qf980bY/Z3GdzZLlmWzWaz3mQx9BpxvvaNII3GCGCVLY+OZ0TN7b+OhbGZPXW7yGsg88cfH3/7r7+endR/5h+s/5e/GZ2H1y/ET/65P38+T/+guHl79rokJpPwjgAAAQBJREFUA1+/Pf93/vX893+h//bvnd2/kX/359Xf+sPgH/8ZAAWArf82WAHWgI0AiIRAPrnWszVAxzlrrX5zP7sPwVm32uJs6PB7DwIEMARVXSWJB5cAY0wYhRN0Xei0Nn35cv3y5WXH3urU2LMG+tdff01EwyxuhXch1Dh3Anh8fJzPZ4OUvUWOEeTGtRoFCoQ8L56roXfVT/ZTnMRfffXVmLDPIzbBK6UAdnYG281dNSm2Sz4A/H+8vWmsLMuWFrZWROScNVft6cz33OndN/V73a+bxt3Q0KYtYzD+0dgSMrbwJPwDY4N/m0b+YYQs/ANZlizhAWOwjGULsLAb042bHqD7zf+xWbgAAAEASURBVMN99707nXvOPmcPNY85RsTyj6jKXbv2cPbelfLSPkdVWZkrV0RGRqz41kTFZzyLfbnYiqUD6MU3vfhoPkipkiSp12tw7Wbv6uPLewGA6zqu696hfy69Xb/X393dAbic3/JVWBsj60N49c/gjiSVBA2025gcHSVpoP+rv1X/u/+UKWTDwWI+gvb3F0enbL4QTS8IPK/enE+n+r/5+/R7P6r8l/8B2T5qpNVeSFgizXLXdS7An+fo9cslwfzGqxgrmJaITOR5XhZyhoilJAtdn4W3p7IqxAPAYrEoKw4DSkLOACDLslJSphlWpfBBxE6nU1a3m0JJpXR7WcgZANwws/F029kkAAABAElEQVRNotxNlt1i+1tsmnFVw2d9G20m5/UZv9hGI4NOx2AbiMt9P1vbDSMA44RLa+A0Hv2P/6ATVqKH9fjXf5dogf/yVx7/5f/4wZe/2KlWLcvpDcfEuaUZMLS/9DT8U//K9J3d8GfeTX79mwiaF1mpllM/Mo6Aa8nMlndEQOCcUxEHQAC0Ar029vnnoLgLB818ikBAbDUFFrkllyeswLZzwNtVhIAAglu6jKHFGLMt+9q0vdcTru3yod1pX6JOadLq8upD19DF0pMrducQlgso1yaAhMv17OKZ65cjrJJHXPPCImKz1cQbzQ/nxDCvyLpWFEfxZQEB62PrktwfF4lWGc7ocRVpTAAAAQBJREFU9d2LcAmutkLFABCQiKSUxmdsTQk2WXjOvby4lntiZR9dT8CBAMy2nEqlujpOF8Rgq1x9G5JfSFMCmGbZycnJ+q/n/67vo429F1arVXN8mR7x/F/xmpNeHlkKuJwBTEZFpbVkDGthkHHwXS+pClHfETs1qxGKr75p7e103n7LF8IPK+EX39z5yhf8B0+ybtyshJU//hN2d9T9P/4paFJwNvNEUew6GyDR+ii6Drk8/xP6fpBl+U1eOLHqFtJam3xU22swQghjHd+Sz60MtP9/0nw+9zyvFEjPjMVStEZEnEwm2+tnBkMtq9uFEGV5+/V6vWazuZVgK3S53e6Upan3+9xKyNsAAAEASURBVP1Syi4BwN22NBc2vgiAO51dzsVlvwIU6NRy0bjOU4SIut3e3t4uIgrrcvOEBsgZYS6TX/26ddhPgMPX3vVeDdWb95w/8vPoerN+fxbNm81WvVI1aVABgWuSDmv+3Feyf/B7Dik1XEC7dgZHIwAAbbh5nLUZlFIyV+CZcwrHrDX7rD47+bxb8xpLBETURKQpTTM/CM4DN8btGW9hTCSDJxBe0auX+CVdw4xWFUWvON/UWL9KNrOMFVrmaDSs1+rcVBNaSYMMlsppAQmcv9kZULq6AhBt26GV4rThRnVuqQVgBuaBC8vKMhccep5nesuAjnB2Jp7JsnZvbRp1Bt/SUr2cUgjsAAABAElEQVQmOj3tHhwcMMRCa0eDHa43y1QUWL0BG+Kbe/m+73nuUsLVD2iqDSwlhBVwiIXGWIh75qcPoE23GqViteU4/4zIlLkAWm1DaKkvLRsCCESIWoOWWQrkAzFNwHA16NdwB00EetmbmtA0Xq90XERgpk0IpORsNq8264SAejXqkYDIGFSVWmF1eNZ7CjUjYxbFFaJHQohGs6GUJo5MkWJICEIRAigEJECGy5tKCYxrIAaoEHLQrmaEqBE4IJEmoChNUAiLmBQklJYE3LhhGLXUEgrAUqARkFApBUgkc2EJQAYa0t6w96MfwWSR2GjV6rs/+RUL6bSC/fxkH7D17n3x+7+89EsFfgAAAQBJREFUQOlFsfzOZ/zRTv2t+5/+o3/iM8fZ32Nvv8W+8vYsTmo//W5OJLRWoEEjQwgCP00zzhnjXCvSpAXnucyFEFprrZVlWWmauo6b5TlnnIikyh3HybLMcZwoikx2qjhKEVFrFSfEGGZZFgTBaDSq1WqTycS2bdd1x+Nxu90eDodnqybnfDwel5KLoaxQTQAoy3pYFIsoBXp5bRKpm5MJ/CwlRo9KKmlqNP2ysE+tdZqmpWQ729nZKaHbCUhTr9fb3S2DW3nQIADcrWDrpXDC4eHLN998esUVaCbxiy5TG6eZv3arDQBm4wpwGcROAAQcKP3t77M4Df/w1xZ1n3ue/hM/i3GtvOwAAAEASURBVM3AIkYAXIjDly/HQfDeu+86jq0RAYjnsLjfkicj5/5OMhhVO2dxFRv2xw0VZKVxkibiZrXdOP9iY65QlogAARnnQnBci8QsWrts4M1GCgGYVYRdEa15lrP+NZ1vZMb5fOH7gdZ0ZfjnNbKtKUorBQk3xDDrq2moSfrAjLa6xFjWZDSKrAYAcB2PCJTWbKNA0toFWhvFdzU+2bJFBhRhiFpppdRkPKlUqua6ovPNmUspEABIa1rjjUpro3hpTYwhIGqt91Z7JNKktGaMAZKSinFm8thxxo1eZTCYZUTHpviYpulkMtnZ3YWVgqW15owbFVBrLfiy15f9uuKxdA1adYnjQAHbAAABAElEQVQxRyVJ4rmuGZ/I0VT0QoZEpBUhogZt7msahYikQSmVa20c1tLZHOMsjSIKHKU0IiFDpVdqJoLWy0g+kkoCyUUC3ZmMFtK3HWA6SiQS9z3mWCzwvUoAFgPBLIsvRhOmKY8j5jl5d8QU5Um6OO5F3UE2GimtXdd1qjW0hKgEdqPGQpfZFjCWaWVLDVHGle5OR/PZrLOzEyfTxfMTNY2CVjufRFF/5IXhLJ1YmUp6I078ZTzen1GSJpGMvNCfW1Ahy2k1OGOh67P95uKop4ZT13Kmxyey7TqEme17nqu0BovvP3p4dHzUeXJv/tmL6fOjxXSWcTtLYpFnjuDTJHJtmy+y1pfL7AAAAQBJREFUoaXrwk3z/KDa/HFYcyoVb6FkOpkgfvL1b1nf+P7pN343k/Mv7r6rmm+ob32oUHg/9UXs7PT+yJd3fuKd7Keedqrt49m46QWpzLIsazWbw8GwUqlMp1MuhGM78/m80axPp5N6vZ7neRRFtVotjmPbdpI4dRxbSiVVZmqcW5alV1XVEUFKyfgSSDP1vk2gm+d5xiJXrVa11pVK5SwJrZSyrGLeZRFeFkVyN9Ja3yYlz2toMpmEYbi94mjc4MpSQLGkRFkAoLUej8eluK8Zz6dS1CCDnF0DWK6jRJdb6hEAgAtmWeLSC+8wQm4Cm+nlgs02otzPO4XQaDRyHOeavlpOwcOcFdQAAAEASURBVOfMEAhwybr96NFDAFh66S7bvdRg1n3MVj/S2Rq/SqRebPh7vf7u7i4gg9XdEUHrJSRDBESa5yxaZPCj57Jdi37yTb9Z17/4k95X3mPIiLTv+wZKV5lExjQRB1SMcRsqGE7f2E+fn9A/+YF++xHjK3OMLrAN872wyJibIue8yEFDRKTWgJ/VJeY7gSLSoM3qz4um0VocJGkyi6IxEBVwVeFZtcLh0FyGq7BO04Ns5bUGCMgwy3NHnhXjIwAijQBk7gDICDQQalDaAAuACJpAkxZGCyMoTDhKK8YQ8yV0lJPUq4ZyhciZ1KuYToZEBHmuldJK2ZatgFBwRmgBt11nkaUJlAgtAAABAElEQVTc4hRl0rNYdzpyVJhS7PMq8/rDoe/7jCECep530utWa9VqGIDUWklJUmnNucik9JG/fHm48+C+VhSEgVbKAkzSLI3iRqsOnGnSDFkWZRxR2BbkekqZFeWsGdrI9SJGz1GalMyZsHZ3dofPXlhcLIZjXMRJGlfaTbQdsdOwgM0nE69W1b4DUUquRYKxWGpGnsZJlohEapvbxJxaOJjPotmks9NJ08Sz3OFpr1Gtj/t9eXjKObebNd6u6lnku97wtGtzkUTRcDSqgj1QUS2s4quBypP+YMBz5YQ1qPiHb+7VR9lJoN+a8B/F/XatznM1GY4a9/ZiBq293dNBD/LUHSeDpXJ3jwAAAQBJREFUXr8zUVMuZ3G0//Yb8XTuNKvcc2Sazb7/kTL5RWpBu97offAp912ltUU4Y0oT+TmmUeRpHuncb9U8Ll5NugczeDHueXPp2O7Uhf2x/JSinXsPPzz66MHOnpdC4otOpUoWw1wPp5OJBZVxqrP8nh2+WAw8zaAeDFTu285oNHpYaSZxTHFWDcPT2bDpBtoVdiVY9EZzG1pSzPJk1/KHacQd25bkCItXfA4YCRrLPEu17YhqKsNJPI8XLAhHqLXntsCaJzMReGmSpVouSOxYvg54bCNp3rIDD/I5ZnvMZos8lMgt+5HtKh+Z6wl/P5YZ8x3QnC3mjIHKBIwPnTz3HJcxVg0803MAAAEASURBVLm/awNj/TlEuZdaGal8NhS9+f08w09OW8wd2EH1/q5SSrlWPJk6pFFr266E9+6fzE/ULHI1mzf9R7wlbJy9OHwQ7M7kfEdUmCUEr7Y7j737B1o63LdaD57Izz3GP/0LDdchBg/39wDgftAGAB8884rX6hXGWLuzTNTiBy7AMq+ebdtGcTJpXOqN6mpSCWBlDFnaagGYz4jIpNYv5nmDZBV4VvH1zKy5mpFLWEQtyyrLUQzKM/mVVegaAIIguKhR3Vza4kzGmFGWb6KDXnxGG1cR0WQyMWr4+u6zWMCKM9dPgMI0sHaOEGJdM7u0aeuKwqWtNj8Nh0MhxHqyiUvlv0LWjgHiAAABAElEQVQRxzNDEUEQhCsPCVwzw6zfEZYr7lLzOPtl/TStqVqpmhKQy72vWarXZDjTWgqvGDAGAmCMrQpaEwAcH588fPhAa0I0ieYRlt67a21YqkhEpt80McaUVoVdBQGRsUazmUspOCetNWkAZMiMFFprWuIxuNQ7Vx2hNTCGmggNIoLAEF+8OHz8+LFJhaq1zrLMsoRJEMAYN94aUkpEJmXOOBdcEC2zZRIRkV7pqeg4Tpbli8Wcc8E5ty07z3MCUFq6rpMkKWqKBE9+87sWyRklbz3e1+2a9WhHCxA5SQ4MWZoklmW/8c5bJgmiAk4ASKCR2NfeHL88tuI4my14rcIBTaQUGZRVTwAAAQBJREFUaq0ADBBhvjHGznRIpaRURKRJmSGolcb1fmfANUAiqTuc9Qc2F9xxoF3l1UBnOfNcyYETUppzSzCOUislJQxmzBaTk16j08xJE1Dm247nKaVRMB1neZ7bQiRZ7tcrWZ4RAGfMPNAkzW3HUkrHKqtINRyN6mEtWsydwJufdLvPXoTElGvRIonmi9puZ/Lj5+DZOF3QYOpmes7JOmh1u6dCWOJHr3o8fZDaE1QnyfTz733hRycvGn4lGo13W52TTz7JZ/P7lXa3ZnmaVV3vk+efdKq1NIru2dV/1ntezShwPMmx3mwsZjPLcVQjnOvs8+0HP/7sE891J5TuB430g+fP3dtK83oAAAEASURBVCzIgIe+zW0mWE/FmVIPmx0r8NPhrF2pUa4G/f5wPlkw1djrRPOZnC7u3bv3gVRevc5Ct/v+J/u29eL0VcygWWvfO7i3yJNRGrM4Gg/Hbi10RpEK3NBxUyUPau0PP/6wvb/npXrU7VV22t3ZqO7XxvGcEx54YXc2IotTktncYooO0/ETv4Whu4gXSWhrJoJY5Vq2UiYF6ExNHe0q2G11PoZZaFdVf8IZb/vhcNSv+KHM0natMZxNRE5hEKRxLBkITTWwZoLGlp5UwkjLEWcucq1UI6zENuajCKRKbIym2SuWgvLiiugJzEZT17Z7TJDGvpZRHO/6lbkjuNaLnIJOPc1TQ5KKAAABAElEQVTjk/c/tmcJI66Q5Qi+sPseVSLNNUxbYdV189GsotC1bBuzKliZb8k4D10RZZIdDRzLcVPVyUX74RuQaUVEgeNoeFdZyU+8sfNdn80W9ao7T+LWjMBi2TR6R7n9+4FfEV6iThz9B+PdxGPgWNp2SUn5mKqAXDC1iFWUPnzniZTSiyRl0nm6mwZWLWdqkQrL0lLlvuNUQpXnPPRAcDmaOdUwGUyEYDSdWzuSASWCIwgQxBVq1yNbaJ1L37FGc9FsYOhmaerWw4xp4YV5NRBRxjWwTk3sNKTWzLEY49oRZk5UvRkbTVSek+urqi1Cvz/s79fbLJVqsmBCSCTyLG4J+dFLM0XPiAAAAQBJREFUcCwNxAlJQethmzuW0lp5tuO50+GIKZqddLXnVuYP4yx98PabtN9ytaDpbHx0iM96+Xyu/sLPJv/w2+6j+7V33l4cj5xqIFq16b1K7d/8BeY7ijNrzfK0vrRZlmVqa8JlGPzGQnZhFYP1X28e43gW1qG1LnKjbaMPEVGSJEYx3FKvIqIsyyzL2h7xUkqlaWqApXWp7qaVdrvdSqWyAVNdWkNjQ3dZX/vNqjmbzRhjvu9fZQi+Rm8rnl3xlVaZES7Vz4oUghvHiwsLfUtKOZ1OG43Ges9f0F2WBy82HNfChdI0JSIzHtYFWBd+3eJshuIyzxBhkiRCWJwjIJ4cn/i+zw4U9ScAAAEASURBVDl3XDfLMtuyOOe09GshrZeuAOYWjKGUSiolhIAl2ENpmlmWIIBBf2DMmkmaaqWQMSG44JbSSkrJGEMApRQyFkexlDIMA621QkjTTCnp2o4trPFkHIahEGIynjiuI7jI8zwMA6WU1uQ4tlHJkiQRnAPidDFnjI/HI8d2giDI8sxo0nEc+74/nU6n02m73bEsPhwMPc+bz+e5lIEfZFk2m8+ajWacxDKXQvDHj58cnxwLLhhni/m81Wr3+33P9zjjruvESdLtdsMwnE6m9+4dvHp1pLWq1+svX75stdpSSSml53pRFNUb9TiKd3Z2RqMR40zm+Xg83t8/6Pd7zWZrMBh9U4QmAAABAElEQVS4njufzZHh3t7ep5982mp1OBdpmiCw73/w/le/+tVvfOPr+802ea76je/svv+Rerz383/tLw2GvbAaylwtFou9vb0f/+ijyXTKGXv04KHtOINB/8Hjh9/7x792wGpdmYS7zWd/+1d33nj45I/8/kMddbxqmqQLmdTdYEBpxwq6va7tuq7nPv9n3/zCT331O7/6/775M199dXgop4uDZnswHxxUW4effso1qdFcz2IACIPg5JNPA88fd3si1xmjxWjSrDcWceTf38lPR6xWrb37uPviZUPy4XRSbdatTuP05avdGb2MJ29UW3wwHTqkPWvOdb1aGw+Grd2d+ScvNUKdPYAzVgAAAQBJREFUu/1sWtnrUJa7wiWGOskc1+32TxqVGiit61WcpoPppFKp9BeTp+3d7vh0iPmBtCOma47fyxfaFr6wA7fWknxEEWQpSeKuNaZcpKpmOSfR+DGGH6lZiKIm3OMaq0oWzHLPdbuYhtWKM05A86plDWeDwLKjNFnUHKVVBuwBYzPHAuKWklZGCepF1Y2iaNetsFwvsgQy2anV5WwBNs+0iixmRdJlYoJ5Op/t82BSEZwzZgmVyzpzIdNTm0YqRRvb6GTTBauEA5kh41aUdQAQ2dxDyw25VmwRs0ozXfQalb3xtNcSdk6YgUoEC20/dzg5VpApNZhYzeoY8lbKZSAc2/YnsS0htN4AAAEASURBVPQtleVikQsvSNMkI2WHvtI6zRIBXArku3UazrXNqzHxTHHbTmczfy67FZy79n6MVPUEKUugTHOuKXFsFrhqEfvMylDbts2j3BdOpnLhOXmWS8+CwOa24wgbGEsYZcOhcG2cxJYkZXO3VtWksihmjs0zqTOlbQ6CZ+OZrYV61HKBQ+CkswVTYGlSi7llWaRJcuZxdyDyRrsFJ2PYbeR5wmsN5vlWqtLRRFQCnSsKbbS50EznOVVcnUucp/juPXI9JRUXQille75MYj2Ycc61Y/FFypMsi+ZA2goDcAOmtQ5dxQEZI0ugxZnjaNJgcXAEC3yKEjaN9TzCwULNI9UMsRHxO47qAAABAElEQVSCYEyDVa9p0Og5gAi+jYIzYtrhIBUqTbmiXEKuUClkQFKibeejBav4ZHFwBOSqd3TaeXyfOYIYIjKTQYS0xqXb3AqXX03+RTafiyuacdJarwxULGfFknHO1n7mJXrOCkFEi/FMNOoOyA/+vb/kfvAsTanzF/8M/m+/qUSOs9R78pbzYI/95Jvs597RviVgs4JnYe4ggizNhGWZVe6iprDuTXS9rmLONJWgXu/VUDQ4z3NE3EjrcAfDollcTXgBXFAC4LI1fkPK9aV9Npv5vr9hkTQn5Hlu4KvCZFncy1y+rgqYEhNFCGuhTGRZVrS6GAGFKlOoC2YwSSlNu/r9fr1eIiGR1QAAAQBJREFUN/pvYZpMksRkcDYDy5iTsywzxhdTb9T4YURRVK1WpMyVUuZXkxfASGLuu3SFYSzPM02acw4ESunhaFStVk3xVCllnmej0dAkL3UcdzweV6s1I61WijGWpCkR2ZZFWllCKMDZIg48B4g0adt2LEuMRxOlpOPaUsp6vW46KooipZTvBafd7v7+3mg0rtfrUbSYTmdhGDJEqZRSyrFtxnm/339w//5oPPJ9X2udJGmtWn11dNRqtfr9nm05fuAPBoNGvXH48vDhw4dxFKVZdnBw8Omnnzx69Lh7ejpfLJ4+fTqdTpuNxuHLl9VKRSpNAFzwjz/++Auf/0Kv3+OMM857vRjSK78AAAEASURBVN7e7u6rV6/uH9wDAK1Vq9UeDgedzs4P3v9Bvdms1WpRFHXarWefPXccxxIiy7LOTufZs8+CIJhNp67rPnr0sNcf1Gu1F4cvXN+P4ziO48ePHo1H41ar2ev1okX05I03+v1es96YjCdKqWazeTLsdzrt99//YafRFIwHgW877mQ6qTfqzz59tru7u1gsRqPR59773PPnL5qNRhzHlm1XK5XnL553dnZPur1qtbpYLIbTsW07w9Hwwb37n33yKQC8+eabw+GQMRZFUbPdfnV8Egb+bDaPk8T3PNtxOp12HC/SNMvybDyaPHnyxnA4BNBhJYwWUbPZGPYH7XZbSmU5dhzy4PI9AAABAElEQVRHcZIgYDSLjMtqWPGFEGa85XkehiEgJnHk+x7jrBJUj1+dIsMszdABRIyjuFKphH6olD45OT44OIiiCBG1piROwkp4etqN0rjd7gyGg8D1dprtw//u7+2m2eOf/omnf+5PGWsmIiIyAIrjdDgYBkHguO7ioxc//Bv/q98bH/74O8HeQztoUs3LBpOH77z5Yjys7uzSPMFcZZTnkzl2qsNej7RuO0Gz3Tp5+cpxrOjwuFKtaZsfn7z0OFNZ7EjgljXnUBG2k+YAIGzR6ezFk5lLLE8zqnqZxZSUVqqcSiUSLEtjpSXjTCCrJDCGbOGyINXCtgLFPI3tSuNFOpEWkzInL9cpfwAAAQBJREFUhKrt6XkMWc59l2UyTFUqM2pWXsmIPLfBHbs3Z7WKkOQx8em4G7zzlj2MbZWO0qnLeAss5dmac1czAi1dLpWC0LWF4yCPHIhVClLXlHBchztOLNB1/UhmYQ4ySy3PjWUmLItzJmw38ixRD/ksUXkuCLhWoCELPb5IpCW4hUxJkmSFVTWbWRKAsbzmLCZTV1ieYpJ0TsoOfBZnKoqt3SYRalsIFDRbaFfkSSJSSbaw6mEaxUjoNltKyVRLTGIGFJGqtBoySox7GqTaDgOymc4JSBNqaDYwWWjX4UCYabBslabIGGQKBVeuwExyzmXVTQQEXg0tgZwhEUPQjKk0RUUEhNmxvz0AAAEASURBVLkiiyEyLjUIrmSus8zyPW0JAgLBKck4FzRZaEsMe8N2owGOBa6tGArLIpszRLC4VgoUaADuWpohJ6RVdnuyLRIMkTEmNAISaJmTVEII0hoR9DJ6gAHnQIRaE2lUmqUSA18LhoAagRGAUqAJtIIiZT7hIom8IDD+jAQEDJcrCwEgKCIOgIDnyrIbgzmu4lTNMk20iGPfdZEvQzoIV5pKkTwZCyweyLCk8zxXlnyp5GA43N3ZQQ3AlnETSwuBcd9feSkWNgI0Hg8GVjC8EElrbex0toMMzzwmaOk2Siv3CcRlzCmsaTAbbh5a68lkYpazDTjq6rIHBRJB64u41vqk290KuduZAAABAElEQVTd3Vdazf/a/xz92j/PWRD8iT/g/OZ3dBIJJ4Cf/WL4r/087FS0IxgAg6XysKEGrFQRkHluOw5sh5wRURzHNyxdfdYFWus4jgtsic78S87pUusHjVJidKCi06WURSoNzrlRO0yIABGZVEmmKFMURQCQZVmv19vf35dSuq6LiGmahmE4Go3MQoKIJn+34zhKqTzPm83mbDazbXs0GgVBsFgshBBGn+h0OuPx2CQPOz4+fvTo0XQ6NfVKza9HR0eVSmU+n9u27Xneixcvnjx58vLlyydPnpjw6Uql0u/3Hzx48OGHH7ZaLaN1tdvt6XSKiOPxmHNuBLh///7HH3/88OHDdniCmwAAAQBJREFUly9fGqPy8fHxu+++e3R0VK/XoyjK87xSqUwmk06n0+/38zw3mZnDMJxOJ/v7u5999tnBwUGe58+fP3/vvfd+8IMfvPXWWy9evHjw4EEcpS9eHH75y18+fPn88eNHg8EgS7NqtTGejPf29o5eHVmWJSwxHAx29zqvXr16+vTpp5981mq3geDF4YvHjx5Lmbfa7elkIixLCBHNZ3u7Oy9eHk8WSehapqsRIaxUppOp67kAylR/klLu7+/P53NE1BqHg6GUMgiDeq0+nU2TOLFsy7ZsrXUYBgCgNVmWmM8XwhKz6RQQ2+12Eicm/CSXues4lm0jgOt5WZpKqRAxl7llWbQOjjcAAAEASURBVEkct1rto6NX1WqtVqvOFwsEtG17PBnnUrY67cFgmOdZtVpN01QIYduO1irPpWPbSBTHcbPRGAyG1Wo1SRLXc497XQbY7rQ5F/1+DwDCMCz0b2Nwj6L45OQ4DEPDNvB8AzUvomgynZiEHa9evdrb20uSpN1saSnTNPM8T5G2LGswGHiuG/hBmqWLKJpHCzNOLMsyo87zfM9zX7581Wq3wiDs9XtGz2bA5/OFEHwWRaPRqFKpENBsPrdtazAYBmEQRzEihkHAEJXWju14vqOVjqKo1WpPJtNKpZIkibC4lDnnnDNBBEEYCsaQiDG+WCyAo207g+HAc13PtiuViuPYUsrrRePAAAABAElEQVT5fEZEruslSZamWbPZiON5mqZpmgrLHo3HtmVXKhVucwIaDUekKHCDNEu11vVafTgaEkGtWpXmFc5zxZRt21mW7dSbSKr3939j3utXO+33/vy/5QE/8xAjmkxmw9EwDMIszZ7/49/e/fjYOjzNj3rVSlW1q9BL8jh17neoHaJSjubo2TScOo6dcQStZ6GoMlsOplprVrFhsXBSFEF43O82/FDGcy6EYuD4nowiv9kGAOJinqdus8Zd29J25lvWfke/OFE65Z0Os5z08CVLU2EJDZBYaANPZjOnUqHAEZWKjhIIPKdR1+O5SmZaKV4LgTPOLUDI81xYlh7OEVkyGSOBrNOvywAAAQBJREFUjUzLXBFgxZOooVNxrEoeZzbL81lm10JWDSSRaFQpdBkRcishySq+WMb8ITDUAKi0ZMQDHxgDBOJ8MZ2HrkuO4Ka+lSIE0kgaiANbXl1EIQBqpYhz42+OtAzcIwRUkOe5ZdvGkG9SThADBFDL5R2Rlq4AZGy4JpCQiAEunepg6TOXZaltna0umjQBCM6NZ57JzMFAL1c4RAKjfSxD/4zLHhCA0q9evnzw+GGxquEqIaVZGwtcHIqWmoWzWAVplUUBz3bRDI03wLmV8mKw1IaKUHyNomgwGBR1Cy6NsrqJXciIOp/PrzGM3JxMST2z0m3JCgC01qXkItVaK6X6/X6n02RYsaYAAAEASURBVLnG+FPoPRtdffHr6enp3t7exb7dOHPj4PotYIUQZYwczTNNyV//u6O//+v2OIK3HvNINh7dl59/IP71PygaISEQQw7I1mS7KLBJG1mKBU8ppbW+3rfYEPb7/TAMTcL0IAjG43Gj0VgsFlpr3/cnk0mr1ZrNZsa2OJvNWq3WeDz2fT/Pc6VUpVKZzWZGbTKXjMdjw5Bz7rruYrGoVqvD4dBoOZPJZGdnp9frtVqto6MjpVSn0zE403Q6bTab4/HYEnYYVnr9vlm8gzAIg8pkOrJtK47jMAzDMDT5SI20k8mEc14Uq3rx4sXBwYG5teu6pmkmqLXT6SRJ0u/3DQzw9Only2C9AAABAElEQVTT8XhstD3G2Onpaa1Ws23bNH86nfq+X6vVlFJAjADyLBsOB81WYzqdVqtVo1wax2QhhG3beZ6naco555znuUJEz/UI6Pj45NHDh7mUROTYjtZqEUWe6yqtkyS2bWGsWmma2radpmmtVlMKDIKVZUkcR47jBEEQRxnjLMuyPM8sSzQajTRNDOSWpqlSlKYZACRJXKtV6/X6cDh0bPfk9FRJJQTf2dmRUiFjx0dHe3t73W5XqvzNp28AIhFFixgQszRN0sTz/Nls1mm3kbHpdJplWaPRsITRbCLOOeOMIfM8L05ipVQQBMPB0Gjelm05thMncRiEw+Gw02lzIeIoDsNg+IKpkAAAAQBJREFUPJ5o0lmaVaoVE+elpKrXaycnp/PFvFqpLBaR67nNZtP0pMlmLKWqVivGQoqItXptOpmGYUCaBsNhvV4329DFYgEInIvJZLK7uyOEGI/H8/mi3qi7jkMAs+k0DEPLsrIse/78ea1WazabiMg5aq0tIZBhkqYIaDu2AZkMUMqQ4domlYj08jMR0OHLl6ZQ0rJFK9dGWkaEnbmQF18JSEpl21aSZlpTlmUMWS7z4WBYrVVd10GAIPA5ZyZmUElp6lUjQ8YYECFDrdRyjWDM3B1MuO4K9yUi27aAQC9BLFy6xBGtFmJiiJq0Uspsv8zExBlftkCT0rrfH+x0OsYujIiMM8YwNrgAAAEASURBVGNEJlolEGeMtJ7+yn8Pv/OD6HFr/6/+OWjV+Fo2iSRO0yzljKcgXQV4PHRQaKm1UpTm+W/8wG+10nd27VZVJ7FwPKUVt7jKJSMgAh54MkkYIFU9sIXOUkxyQpAM3IrPQMAS4lCAwFwXANB1NGhEBgCEoIGQISpauqRpwCVOgESaBAOAKI4Dz0cE5MyE82njGGogh0LdQURESZoRrCAEQgK9NNwAEUmlbGEBLXMTGO1k6cG31HOAiNgSHVkDCRBAwzIkgICIZvNZpVIx5pQixxOu3CFX9wSDVCx3yKt+NxU4C/jE7Af42gq6HNVr3w1KgIAm38GGxYhW4RH9fr/VapkBpc0kAAABAElEQVShuJKbVqndllpWkZ7NCL/0hlzaIpZBKLmUAGCfE2nlj7E6svpSpI6Ac96kxnMRiABOT052d3cvpptaB0LWqTiyYcCRUkZRVDhxF2acjQtvopwBgClSvH3wu0FPyiphZzSq7XMAGSuZWYivimwruu7s4V7R80ZlFEJcVINeq5wVtzBslVKHvdOHnQMJSv71v9P9339LpInX3refPsA/9FXn931e74YCyHj1rj/cgtu6bEa9KaWss1GcjOn2+pNRSgmrXlssFkEQbHTceoPN1mRld9t0aSooz3NjZzSFIw3NZrP5fG7scZZlOY7juq5SSkpprH6z2cyoca7jV6u1OIktNAJjYQAAAQBJREFUIWazebVaRcQomucya7fbZtnGVc1N27aNMEKILMuklHEcG1WMiEyFCiGEZVmmqrQQIkkSo82YJPjmqxEgDMMijRbnfDabKaVs27GETQSWJaJ4wRhyzotXLo5jxlihnJnOEUJkmURkDFmWZ7ZtW0IQLXeAjC0DmuaLRZqkfuB4nmeUD8dxVhs1phUxhlLmWZ66rovI0jR3XQeRcbOZXXlxmR7OMhnHSRgEQnBTgJmItAZa2Uk1aQQUgmd5bvauJlmfUY61AgIwG3RNWivNuck0uBpYAJbgSunCF58LRgQMQesVvmym8lW4uFZqNB5zxqvVqlE1Vlvws8l3JScVIwpX2Sj7TZsAAAEASURBVKfYchu9fCeVklwIowMhgF5uoJeymRn/PB6+wumLzfcKo55MJrVaFZceBOeq+Zpe3TCjX/OyPXv27PHjx+ezPl5J6y8LmT5bpWIiTUTAOdJlyPk13ArQen1O+eCDD955550b7tcvLj/r3C5mxlmBFkirZFAJQvo3/i/5d35VRin8mT9a/ff/mK8ZrMI50zRN4iQMwzReCNuyLctoi5o0/fCVGi1UnNm/73MYWox04fsIJsBiZSsBIgZL5UohKq2iOAqDkOMqRsQEra50Hzw/fa23FFbIRwGKmM1YtVotcu4UJ186h14VfgsrD4qrChvfavOttR4Oh9cse7eiwWBQq9XBRDaUAAABAElEQVTuXI9kvcmm0N/6qDBTkPm80beXQiaG8jz/+OOPP/e5z92tRRuyGW/Ri2N+A1Z5LaVpOp1OO53OxVsYuvlDNMhZEATbgy56RaXk1zQPsRSVkYiiKDJr65bciOjw8PDBgwe3Rc4unqy1Tkl7zJKkJv/Ffwu/91zOJ8EXPj/+/P7+n/rjyreFsTyvvcWGLqJ6RBTHsWVZ23dXweomeezPVjKj8RgXqG10c1pVsTSzwPr0p1cFlM6CzFeTYGHrLCQ2MsxmMxMaWfA0iGWxd9mYeYvmLN26V8l5TRGhq1p327e33+9Xq9XtXxKllFEli6QAW3JLkmT7fCgmeCKKIgMobs8NyolaVwAAAQBJREFUbpbU/hoyg2o4HIZhuCWqb571ZDKpVCrbZ1cxL5txNNyGD6zs+5fVjbmjVLZtl2JM6Xa7+/v7F38qXm0FJBRLo3jxF/7r9NnzkQ8P/spftN9+YLGlfS2OE84Y43w2nTquEwQBEGQM+Did/PP3wzfuLb7xfe+X/4DDRbEXuIlfrYHP1ycTOp/I8LXvdTH/SimzLDN5s7d5lOaOZkiUkmpnOp1WKpW7sdpYupIkMZhEsRpt+GXfsOFEdHp62ul0XivVpczXH4rx4i1F24BVqp3tuz3P816vV0pNNgBIksQgCFvyMVYLg55sv1jkeT6dTk32h23IKHmDwaDdbm8/2xhuN38YSJ8AAAEASURBVF8NL1XOzADTWh+e9h6392KWyl/7tv7ejy01HX//dOd/+st8We/0ui13MW6JCAGTJDNGIYZruMLtyXDO8/wmPmfntvul4KWwyvi6/pkxZpxybNs2hSmNNdCyLIM5FS47xfkGEigQzg2eeFm1BFwVpWGMbSinjLHC6f6iwJdyu4aopGS2Bf53PdxyQyKixWKxPR9EtG270WhszwoAptNpKVKZEbI9H0NlWQcAYDAYlPL4GGPtdnt7PoZGo9Frz1mfg64h47L5mjMJWOg6f/oXedVp98af/Uf/Wf69HykipQmAPM9xXNuyRL1esyzLmOyYkqo3qjiu/H++Lb78xGZs/QY6xU1SAAABAElEQVSX3rE4uL7rKwhxM95qdVXxRwWHdVbmf1Pt6tJRsX7ha8ksMFc1YYNnsV+9iu4AdG00rTgyHA7XG3h9S69vcr1ev/SE66+99GC3271V664hExh+8Xa3enwAgIhl1cErkYw+EUVRKbONQUNKkYoxtr2SZ4iIer3erZ7UxWEsc6mUBgKfM2VpF63gl37G/bf/OP9P/mzrr/x5Tuc2CedG69ksAVpTtIj7/cHJ8elsvkDGlFK4ecFdGlgEMr6WzuYyIcRkMtl+xSIiEwK5cRxXBOf7tPhwqbJV1AfcuPa1cuIawVroZSnkeV5Z3AaDQVkJ2BCxLI1KStntdi/1hL0t+b6/2VHQsgAAAQBJREFU/c7YPMQgCEopKkVER0dH2/MxtL+/X4qeV6JUuAr7fe0dXzvFIGKlUrmUVfHCckASJBDcn/si+/1f4Y+ftFL78E/+p8//7F9Kf/s7cy1NyTsAfdo90Vqa4nfy2en8f/iHg7/6N5PTrvPOQwZ83Zr72tWd3Sw74OrCM/1snVXRBDNpXrNDu/m9zEb0qiZc1ZyrTphOp7ddBgq269oqEa0X2Li+pa9dgfr9Pl4WyH9hwaNit7x+QnF3sw+8VeuuoY0KIuvy36oPieizzz4rSyoiKkUNAgADZJS1qyxRAe33+6WojABg/IBvePKlmkCcZC+evyTCSrXGAJEzzpjdadi2cMbGQqIAAAEASURBVB/uMMHW3/pimBOB1kAEWabGo8mzT59/dnh41O1974c//Pq3v/1rv/VPoyxdVfO8u3IGK7X4JpfzX/mVXzGf8jw31plSUNP1N3AbJgBQlsmvgKm2p16vZ4otbMlHa21sFqX0uVJqPB6XYtYEAOMXWAp+DmU8RCKaz+dEdLfZfP1l0FqbaG3YGi0mIhNbUIpPCWOsrBoPRVHa9aX64mmvHXhGPzBSFXzWp6dzmy5g7tc+l3585EwXyCz1yfOP/+bf4t/7MW/Uca+pGXO9IJnO5Aefdf+Xf6T+3u/ojw8Zm9m//Avi6T1jL1iTBQGQViVqLgpMK4ewtYV/EyRbZ7X2GYh/puKkAAABAElEQVTOOSOaMzfSdl/sqKv68GKP5Xm+Xr3gqgsv7lQ3HpaZRW+7Hl96R0Q0ceuFtwmZEEeAonM2dr+XboONmm5skabn19e5i9cWlxfOeRsHTfqhm7fuGur1ehveXWcj85Yve71eL2uxyLKsFLMmEZlos1JKIxLRcDgspSaQGQyXevHfSh5Ds9nMZBK4w+UAgIiT8fTjTz6+d+9ev9+vVipmGqG1Mr1n+wpCAFx5UKNSej5ffPDRRx9/8qw/Gj5/+YoQNbDecPThs+eHJ6/a9Xq9VqW1ZKK3bqAGk3aAsdcj4mflm0wU26165CoqkpxtT9fYGm5FjDFj+y9FKhMTVAorUwmqVM0x3gAAAQBJREFUFIMdIpbyshmXFDODbz9DFXG72wu2pV+tXiXLRcRXr14dHByU8hBNMN32fMpFEcbj8Ws94W6oaoRhePHgRSbmIHFR+wv/xuL//G3/N75tH3drDx7EH56e/of/eSTz4O1HM57L5/2qcoJmK3jjUfKkyX7xlyp/+GvIOG4iMVdqM7CKhFhPZAgmquI1dF17rxnqt3q+eMFH4tIZ7FJ1YWM/XYBwW5K5ywULKa2prZcET1xFtMopfY3Geb0k66ym0+l6+ZBtaAN0KT7f4fUcDod7e3ulSAUlea0AgG3bJda5KcvMAgCLxaIsnxPjfbQNh0ql+vDhwzyXu3u7ShEXCBeAdm+PkGIAAAEASURBVCJSSkupmYFsEJWS8/mi2+9P54v23m6WZrnSQIiAn3vr7Wa9+sPPPvv13/nGL/0BsX+noszLuyMCIdxMo1mqUFprYwotZZkhou27GAAQ0WRH214kk5N3ez6GXr16df/+/e35IGKBnJXCzcBU25MJei0FxSki0rckRDQpXSqVyt0uL9Y54yRR7PW3kYoxVta+HwBM9pZSBsO9e/dozTPS+DbdxMt+wwIFAMPh0ITcb1xu5rtzFk8Ezhl4buVP/mL2R39Ofvcj+s3v4Lffp+Mum8zDbiYxy+/d260fQMWXX35c+Xf/GHeDpXZwLn8CmEQQsMLDbiL2eenO0DKtdaF8sMtuCGQYAAABAElEQVSSGBVEZ9UptiW6Tc3ci2KYh2VCfAwCelVg2g2ZGwSumEtX/VDU9rgpW3PhZDLZyMJwESTb+OlSyRHx4OBAXygxsv6MbtxQOD4+LmVahlVJxFJoLQB/K0LELMuCICgFrQCA8Xi8EZF6Nyo289swKZ51s9m80zuIAMvKtUqnJ0f9VrP9/PmzJ4/fWObPPTNwL6eaJMkW0SxaLIIgDMOKUno8HqdJksVJ8+FDx3G++oX3SBMAaaBqPVyk8pPPXvzW733rX/2j/5LHl5l6by4fWyW093wnjmNhXR7NvU5nyJnJCnu3le+iHHeb4DaG3aVJge9GJlvm9nwMXZol7w6EiFf1Dywx+gAAAQBJREFU+aXgxPVkksSUIpXjOGZOKQU5I6LtxxURlRWtTWsVxrbkprUejUalpIUEgBIDAo6Pjw8ODjYsXOt2SXME10xvV5HruneYLoUn+M++Bz/zrtUbw9/+v/HVIM4SP/TCpw/8t57gFx6zMACbc7jR1uvSBWkjlQNcBszcUFq8NiDgtrShi1zo7XMyXsWEyISRKq2pYHaNkXRDgIsHF4uFeQ233+7u7OzcmckGgHF0dFSke92GGyK2Wq1SHh9cC6Pelkxo3vZ8iMj3fVPPcPtmGvhze6kMVSqVm4+Hjddh46fRaHQrlXFloASiZVI/KWW9WUeGnXYHlwmQN/UorajX7392dKprNZwAAAEASURBVJKlqdL64b2DRiVExL29XRTWaa9PSu11fqIQ8MHu7mIWHx8ejceT45PTJw8O4Ly7xc2ljaLohvv5cxOu67plTU93UM6WNtm18CUT4r69MLBKvVYKKygvQA9WkMbFrdWG98lNiHNeloEgyzLj87s9K8/zytJd8jwvBRo0e9DXBsrdkNX+/n5ZobuvXr3ano+hAhpcP1gcufSnS+GN4uD6YNjYfeFalDRjsPrjHBkC+2w2/uyXvvTql396+O/8Uv+Xf876k7/I/4UvWo2acLhYunwQwMU/tvq73DiFiEmSrMt/aT8U7SpkXjc7Fh+MJ8ZNkg9dT6ZjTb7DjePnv17qG3dgagDmAAABAElEQVTWOABGBFqBbTnr2OFNRuxVzr7Gz9IM+wKcu9s7boqpXCPARmT9xgnrAlyaB/WiafgaKvqkLI2KiHq9XimsAIBzXhYusO7LuCVt7xFeEBF1u91bvThXDHsgonq9fgegcRlrCQQI0TydpLNZvJC5Ukrj2u0MiI4IWZb1h0M38L/03nudnc4PPvrRxy+etzqtdrMBOn/ZHUpkGjQAmX7SWh3s7wShF6fJjz76SALRzXaVF8nzvDiOb9L5Z1vPAqbaXj8z29CbgxxEZGpTGHyLc+7YNreEUroseJlzXpbJD8oDvc1m6FL0HhEHg4EJqLnh48jzPI7jUvQzy7La7XYpb+9s2fIH2AAAAQBJREFUNkPEWq22JZ+yphJDpaRwM9Ttdvf29rZfGIho+4TdBc1mswKHuzgP4mWhdleRgZReOy1cgOVIKf3xJ599+tlzEDxVyolSyrNmu804t4RwHIuu230aJle6DRk35BJHhUkCXsoCzzlHUxTxwgxe7LmWXyUhx/WTCpQTAABJacXYHdu4AVEMh0OT0PuqM2/emRuBflddfhOGg8Hg0ix6d6CLmWPvTI8ePSqFDwCYwoOlsNJaF6nOtmRlrAdlGcqME8WtrrrKYXE0Gt0iMQcBAGZZ9s1vfavZagdBwBkfjEeLOD3t9aueqxmkSeq73nQxE5zXajWLWwB40usdHh5+7Wd+X+kRZ6wAAAEASURBVKtRr4T+ZNg/Oe0OH04ZsCTLXc8WHFfuFgREQogknfq+P0viXMltel9KaXLO38KsKYQwpbtKsfXcyvyUJMlgMMiyjDGWpmmlXnv/6z985403d9udnG6h5F0vUomulL7vl4KcIaIpWnXpvHbb5DGc81ICAohISimlvOgJfgcqa6tXKLJb8jE7B1OXbHupYAVIbM+HMWYSbW/PClZF3Iyb0aXK2brMV20PDNBSq9Wu8v5ZP76+QpubfvLpJ88OX82TNAg8lwvO+fGgOxiP2s0WEUmpueBgKhataN1JDgDYMufjpopmfjVa4/WO/DexAOItQ/mu5wYACAyRFV4ucN6Tz5ymbtiHAAABAElEQVS4vEBqUAwEJ4SzYkirDkEEREIEk+rxtsIQnbu10cyKx3rxzJv3wGg0Wt9IXHr5VZuf9Ydigui32SatcyvrTYQLDdyGDC5QltJfIuK1/YbZkNa61+vdvLuueStvhZguiYhzMZ5FX//Bb9m27brOaDScKxG61n6nMZ8t7u3sPrx333bYZDqbR4nvupYQKBhY4rTb2+20Asv5wtvv/uY3v/nPv/Xtn//Jr/WHY79WcSyLwcrlgyjPszRJJpNJJvPFYgF6WZ32tlRMjzdp49mUkef5HZZ2Ok8FZn6pnc4s+esnm/NNXjQ7DLuj8eHJ6elgmOTyZbf78eGL7qCvtQZ9cQt66u/ZawAAAQBJREFUOzIL1VYs1qjX65XlNbwsUXcZFTPpDbkZ/6ftpbrtfa8n13XL2jiu57OlGyTwvJSMMcW4nZbSxjtkorpKMJMw/bVn3qThpha7+bzxQG/bb6enp5eizgUfWhXtMKu+UnoyXvz442ffff/DD58d9oaTaDoXyPZ3dv/FP/SHQCnBTF1qBAKti5hBBMCC58YINHNF8bVEwKwYSCWOeaW1lJtbQa3BGCdW+qgG0GAzxTUwjWiOKCKFa3QRHbz5yN9o0Xou6Jto51eRMXSsC7BN15WFdQFAt9st5U1kjJXlHwIARFSWpcWYNcvCBUpZLAyrO0R9XTqMEfHWiAACY/De597Z2wQ/qwEAAAEASURBVG0/efxgb3fnjadPK2GlUqk2640333ja6nQy0gJZ4Hr39vbqtfruTscCdtDZ6Q8GJlZgd7fdajaGk8nvfP1blUZrPhzvtJtF0VkCEMLSmvb390PP393ZIcS7mTVplbXnJg/xDJSyLMtUvbz5nQp/qfF47HmeyaPTaDQ2kDPzMud5Ph6PpZRBEFiWZYp8m/KfQoh2u03AmpXaaDSexQvbdo6OT6RS+WncrDfqlW11/OKOW/IxdP/+/bKiuobDYYlu4GXhLriKk91+uZrP54yx7WM2zXu7AaPeTUIiGo1GJUaSl+VzZqwMNxlar2144We9ftrdpnVTqOfSO9Jacc/imMw7YbleAAABAElEQVTVBx/8+Kh7Gmd5nKQPH+0rnfbGw5fdk8l0tNtuN1rN+/sHAKC05pwRFULeNAjG3LdELPwuW/ariTHGxVVPEM81k+GqzPxSjHUY7847kILbxpHiIW78dKuG44Vk13fuNyKaTCZlTYBlYV3G56yswM9SfFsBlql25vN5KbZIIiorjh7KayMRzefzW2THRQACROw0G199771GvZFm2dFxN8+Fa7Gf+6mvCsERAZGR0kuPUiQAFJyfHp2g6yZJWvEcBfATn3tvPl589PJQMWCkHOdMVUDEPM/7g/5sOgOCt996a3Xvu5CU8ob+GGdJaJMkYauqsZe+1Vrr0WAwGU8E54CQSkUeAAAAAQBJREFUJMlwOPzwww/DMPz0009NIrHhcOh5noGpiolGSrlYLMbjsdY6SZIsywbj6WA4Ri6iKOr3ui9fvmw0Gr7nWoJXq2GzVq8GYZpnfhCkUWoLVq+HiOcyVN6WTJKzsjxGj46OwjAsJa+g1rosYMngkaUUZy1i+LdfrmzbXh8M20i1WCwKBHRLeC9NTS35EsCSol7hlny01oPBwORyu16qm4hdpIVcdzxap/WT18Hviz8Zb4eLUhWw2foxRJZk+WA6k4JFadyqVh8c7DFhE2EQhGnOBuPpN771rUajUQtDzjnjnDFkzJjwrnymBSxXWGkRsaz0nrAWRXXD8VCAbev+9bhKabKL0V4AAAEASURBVJtlqWVZnJ9lqiQi41xskmFeTEpy6dMxPkZmB7vRFXcYt8bBoBQdtN/vlzIBAgBjrCxg6Sa5/W5CZsyXmAPoeuP7zaWKosh0+/ZP0KhBpWzmDQgXhuFtVfyLw7hwJL05K3OybVutZsP3vWol5AAngxNN6NtOu1njnHPOuOCm2wxv27Ecz+31h/VatRoGSqpXxyeRlLbnD4aDeq3y6NED17bMs9NEL49Ofu9b3x3PFxbnj+7fa9Wq7K57EmPmvom3z5lyhisv/quuyaX8xve++933fzCaTGbzORF9+umzJEnTNBOWxThfRIvxeGxWdNd1DSsCiOP4B++/D0QmdZaUMst1tRADAAABAElEQVSlUpoxlmWJ4zqcW9FsWm80i6fi+36Wyx9+8KMwDBzbCnzfsrdSFBhjpsT4nTmskxBiy4TIhsyEXlbCXqP4lpV2qyzdZbFYGFeqUiaUshJkm+quUIaB7OjoqFqtljIYTNmJO3f7uh7W7XZ93y+S61zK81JXoYvTpdEPLmbju2SvTIAIUkNvMCSG0WLx4N7Be++802nUOs36bqvZDOuh7z97/sxybU/wZrPB+Dl3d1zhcK+/12o8lBXYcfMdLVzbdcY8bVkWu1Bg6qrWrV++cRdTuGWb8VBca3bOpSzt5nUuZcz3ej0DBZUy1ZTilqq1Lkv1BIA4js1g2J6VqclWVl7MnLnmWgAAAQBJREFU6XS67si0Dc+rwtpuSMVAJaKTk5OrwlZuSErq0TxO0uxgp1OrhlcJNpvPv/Ht7714/vzg4ODHn3wyGE84sN32ziJJZJ6BVvu7OwhARKenp9/89ndzTVLqt56+8d67b1ucA96lx4gojuMbrq1n65yBzfDqaM04STQwDazWbD1/+bI3Gmula9XqbBEzhrkmrahSa2pgSZoVmyFFGgQnhor0O2+/bVZESTAeT/r9gVTpyXjcPR3+9OffKm6NAIh4/+AgyfIff/Q+on744MEtU75tkpl57379eZrNZmUVeRwOh2UFKzmOU5Zmlue5UqqUgABEdBxnewupwfO218wM2jGdTi5WngQAAAEASURBVBuNRilIalm1NQFgOp1umaup6OeivOM1i+i6d9c1N71+T3zOhR8BAPM8XywWw/F4r9V++uBePfSwEmgixtDzevcf7X764tmLZ4f3G82nT3EZAL+iWylnJufTlX1xMzJtN57pN7+qaLW5vPCHW9eP14+sp5ZYv9B8viqhIyKuZ469LW30ZL1eL2WgmlmrFF8x4wBaivsEAJRi7wMARNwy+9o6mbT+pdT6y7KMiEoJsSIiU73efN2SYb/f32Y8rE9E2z/E6XT67NmrSqUSVoKrlgzG2L2Dgy9/+UvdbvfZi6M8V2mauw5jjJ4+eXxyfDxdpL/xm7/z8OGDNEnG05lijrBDSHxeAAABAElEQVTo3r3mF957x7UtWAYq3ZrMG31DDOVMbtOMa94Ty7JardZsPh8MBu1mY293FwDarbZWKs9yP/Bt25ZSxlFk/JqXyAQgEIZBBYiKjSkn4IzNFnPHsXNFqZbc9pMkMSGmAACa5rPZj59/wgS/t7/vOM42Nk1Ym/RLoSiKyuJWosNZFEVZlpUShGigwe35GCoFgQOALMu2r8RnRnir1ZJSlqKcnZyc3Lt3b3s+UEaiwRV4A5Wwisg2VAS8kH4WLizhZ19NMgfA09Pu/v5e4QlXnHkJbkQABFEUJ0m2iKI3Hj5o1OvGrxYRgbDVamqp337jye9+85vPDp9/8Utf8rnH2brkRqRuXAAAAQBJREFUlze/+BVW6jUAlJKNs+C/jQfbep+Y5fOGy941QBqsQLg7D/gNtuPxuJQisGa7tSUTQ0S0ZYjlej/3er2Dg4PtpdJal7VhhtXCWgqrciGGwWBQSncRUa1W22ZBXB8A2yvrYVAhAtu2e91uo/rkKlZC8C+9+3S42/5nv/t7klmu5z9+9Hh/p+O4Vs13D49Oxov0+Fv/X3Nf1uu4kqSXSZFauGnXWatu3erpvt2A7Yf2iw0D/g0GDPj3zO/yyxiGYfhhemDPAOPGve2+fetsWqiFEilSFMn0w1fK4qGWo6OMATqqcCBRZDCZzIyM+CIy4p90Q8/zfBWEdUP/za++H3TbSNvXSJ8AAAEASURBVG1zon3FrjgIhx8L4S23UH6qVCqr1eoEwtyo1z9/+Hjd7QVBOOh3rNdI5tcPVaNeNVBO8WtTGJtOZ1G80ZjwPK/X6+V5vvLDMFzHyUYz9F7TbWjan5++GDrXdd0wjDTN/vjTTxljn25vf/rzT1atoWma4CrA2TeBTkJ3d3dUq4KsjaNOCDNS54MlgSR8jTGWZRkyuyjy4ZyTeA/ByvO8d4SdniSqHemMMXT7xZdjTGKYh+t1MWSwqASU5MJR5ezrV3Z3e8c1to+p7ytngnGRsyzN81wYtZprO9WKnnOm7eauv/CdhtVttTZpsslSbz79zrwHKM53AVsHVfmScobSRoQSSGJHAAABAElEQVQZpGQo22VU6pZiZOSb92UnN5QALFFvFWOMJD8WqLRb82LCTFQMvZfDkrBwy+Pj46dPn9RZMcaojEBN0xDPTfUSB4NLakTukxDC930V5KwofIIgUPTYWHbjV7/6rlqvXF33jnkCOedMCNuygnV0dXPHK8bHD/e3V72qruWCff7urtty/vCP/zz2vE673TAblmV/vL3+9eePFY2fWIH2xcjBW585d76t5Uilcextcc65YI7VcMzGVa/LORdMHHxyznlRMeQ5a9TrvKLN54tuGG1zjwnx8PCoVSotxzWqVddxmpbtr1ZBGK5WgWWZwTLM0+xlNDR0vWM6tuuo6xxZlhGWC+KcvgAAAQBJREFUS6PKksWJSpVLItm/RjX5QY7jqLcKinUQBLquqztboXcSLlRUS8Jms6HI1ssYY+12syhFdnrbK+/bvpZ2aDozb+p1Op03I112zHkYrX9+eri/vdJrepRsq8wQFWQtEXmereL1H//8p3q1EUfZn3768+3gqlb7NjFP36KkQRISpFaR/zE18TRJ6XxmC998XsK6JoRElYZGUCReli1ZLBZUYplq2ztjrFarXVbZeb+aKtxh+0OraLqwwh7qfRtMni+EWK1WxYwh8qoST8yC4hsvcsb58JXJfDpyCuxKuL5qMGpxovyPrht5lgvG5F6Zfr+PwtzgJvJdY7gQe2g0jsBrLBWK8YoAAAEASURBVHblaHlF++3391maRkFU06tVo7rdbrnGdF1PkqRWq0VRVK1WUU980OvWDMO2nGSzEdttvM23Seq6jqFp//7f/r7fbi+jsNvpVIX48OFuOV/Ytpnn+WazcV3X87zBYIBQTs55EATdbnc2m3U6nfl8XqvVdF0PgqDb6S78pV6p6Loebza2bS/mfrPlrtdhpVKp1+vD4fD29nY0GnU6nSRJVqvVzc3Ncrl8VVvzjQTZ/Ou/b9+OKIavUErOW61ma9XK83wdRcvVapumURw1GqZj26Zp9fvdJEnSNPPX8WQyWa9Do6I1GvW6bfmrZbteJ8kDTuX4B7muS7U8UNWnYoztF42uEmA2AAABAElEQVS5mEj2aYImk0m9Xlff+iSEwE5G9SadNdrPJt/3qbIiES0tjO1qaxYOvhLf7JD2UHax8a9/MRjEW3XTGWNMMJELwViSpvV6TatoOWoRfzXkWKPR+MvDo+04rVYrDqL1Otokm2pNPyZM9h7tlfeQKjKaHdFWLyA0LE3TM/m86fQkVM7W6/Vf1UBlFBhVsQNV4vNKRJhnJ4qig/bkQQPgxEEhRL1eRwJ9KDdY0aTahNECoA7lCrEcyO2BSPPOOYd7VNf1LMuiKMrz3LIsQFbL5RJodJIktm1DuM3n83q9XqlUkGHk6enp7u5usVhwzqvVahiGV1dXX758ubu7m81muq63hrexNQAAAQBJREFU2+3xeNzr9UajEZIkrNfr6+vrh4eHu7u7+XyeJEm73Z5MJne39/PFwjKtIAiSbXx1dYWCKyif5brN2XQ+uBo8Pz33+p3ZbGaapmmanufd3NwMh8NerxeG4Waz6XQ6ODgajdqtbt3QNyJ3mq7vL5vNZhxvBMuazSaqEAVBgIRfeZ4zIfSKZhiVbYJO5FXDyNK0Wq2atdq//uFzykS1Vs02qRCs1WwxngshgIt3Oh24dDFJoX/DTd9qtdDV1Wo1y3LXcTjXhMhrtVoUx51Om3OGNZFzjqgYeNJrtRo2ozSbzW9KLgJ61MsgQiEFMiEHTRzHD49Py2DNOatUKvl2c319bUZmf4MAAAEASURBVNs22pFl2Ww2m8wWYRgahrFJt2G4/v7DxyxJHNciQV8xLql8/4+Pjzc3NyQxnu/KrfwmN0G0ZxvVyklQPWQYVg9iBeJtGIZ6zBljbDQaYVyptwrpv9W7Pcuy8Xh8dXV1TqvehHZ83zdNs2Sv79viYpc/tnRQMs+yDLu6zsEahRAZY//8xz/9j//19zfXg08f7gadZr1abXc6jLE8E//z7/8QRrFtW//4j//E9YpV0//Lf/5P1YpRbIBsZBGCKj2pRFIl2H+OEiON+K+gfoFhlmXr9RqbzqS5LzEDtqfd7qMI8idsN3FdVzoQ9uP9SyClRCa+ogWFqBTUXEKTsBKXGlDRS1qMAAABAElEQVTkKfGSYqvkmbhWngCepffOCxsySh/kZ7FLE1i8HVhBaZCCCOFWcNbjg2EYSZLIg9VqFVv4l8slyq5EUdRsNrGzHqG99Xo9jmPbtsMw5JwD+XAcZ7lcIsoZkmo4HBqGkec54tx93x8MBgikmc1mtVrNMAwwn81m+Ms5B9TRbDbn83mj0ajVasi79vDwcHNzEwRBkiSu6y6XS2AklmXFcSyEaLfbGH5I5dpsNheLRafTeX5+hmIXRVGn04Gcmc/nyPkShiHa0+12l8slhAZ0i8lkgsGMRgZB4LrudDqVqEy/3x+Px51OJ4oixhj6p91u4xZBEDDGXNf1fd+2bWxZ45zH6qrtrgAAAQBJREFUcdxsNtEP6LGvZXgcB5tb1+s1FLXNZoOyjxCwSFYKVS9NU13X5WuVgwqfhRAvLy/HStjty5wTJJUHkhK3k8kEubjVhXwYhgBTFTc7Q96GYXjOduBvqTQAJJAs7XiXUp4CqKjWarV6vd1qcY1fDfr9fh+jB1StVqu1Gjwf1WpVr2h3N7etZtN1HfUVlBXeuiIfUBzHJAEceZ5jcztJqyBKSKJwIARJYIkgCBAbdHA5YXvr3P7awHaTDfE3579EUcD5iwc555cZIUWG8vNf/vIXmFAH73Xw8oPNy7IMgri0iu/fcf8W8lf5QebHkus9jhftbLaztoud/K2XvlYvYVg494rvTJUAAAEASURBVEdp6U19fYpc5II9vrx02u1atZps4jje2JbDGB8OR3/43//nd7/73cOXB6NqMM773fanDx/0il56RjkS4DIuPoIkeFJk6L18Oqn3YFWQGoms+ATkQOycIGwXQRXHMRhuNptKpYI1GOoCrG3DMJBpD8K6Wq36vs8YS5IE6RKwBgM80DRtPB47jjMajRqNxmQyAZzm+36j0RiPx7quz2azKIos0xoOh47rvLy84F6j0ci27cfHx2q1iq2v9Xr9559/bjab4/EYbX56enJddzgcWpbleZ7nefCzmKY5Hk/W68gwqp7nWZb15csX0zQnkwmGxOPjY7fbfXp6Yoxtt9vhcNiQiqRzAAABAElEQVRqtV5eXmzbfnp6gk6ABniehwrNo9Go1WqNRiNN03zfh/sGGWR+/vln4FXgA2/ObDZbr9cIYm40GtPpFBlP8BW5ytM0RZaQIAjq9Tpy6eV5jvhUyGrEomBJMgwDmgG+YsUFKgPdAmnGO52OYRi6rpumWalUMAXq9TrOQQoDqOC2bWNU40xYMpVKBXOw2WzC5WRZVrVaBWZfr9dhHDYajTzPocTgK+ccX1utVpGPZVl5npum2Wg0DMPAHSHza7VarVarVqv4alkWNEi0B5fbto1U7dgxDSnaaDQkN8YYlvl6vY6nQ6Y3nKDrumwGY6zRaKCjwGcymbRaLfQMOpMxpus6BaZeZgAAAQBJREFU+nb/r6Zp8oNcuFnBp3FwvSgJ+dMkhFgsFlRl+jzPcxyHJHcMxMKZgaQnSAiBxFLnqIzfBCtEobr6giqW+8lsizL0oDqCFLWbzUYIUavVEPyIzUrqnZskiZxO6gQ9Wl2pyrJsPp9TbdiEh1QdHURqKwgI9VYh9V2x5/nxiEgZtXDwpxLGI3bYhlzUS5zFERQBSC3iqEonF29XRFDwGX4EWJPyp6JOKR8Qpg7KdFSrVUxsOBcwQQAhNBqNMAxrtRrMKWQkNk0Taz8sCmAGtm3P53PDMHCJ4zjz+dyyLMwXy7IWi0W73QZgtt1u4zjudDrL5bLZbE6nU855r9cbDofX13U9HL0AAAEASURBVNcSAMiyrNlsfvny5fvvv396eur3+1EURVHU7/eXy2Wn052MvXq9vtlssnzb7/fn8zm46brebDaXy2Wr1QLGMJvNsJItFgvbbf7Xv/vv22TbH/TbrfZ4PH5+fv7973//3/7u77jGf/PDD//wh3/44be/HY9G//E//LumbTbqddtxxuPxzc3Ny8vLYDAIw3C73bquu1gsBoPBcDjsdDroH2AMnU5nOp2izM5qtWo2m6PRqN/vr9dr4AqDwWA0Gl1fX0NdgEzsdrvT6RQQQpqm7XZ7sVgAyQBmIISARwYPi4UtDMNOp4PNUuv1GmY9FIs4jjHd8OKw3xwKnGVZ2+0W0A5sqX41AAABAElEQVQ8SpVKBUqJhCLSNNV4RatUdoMtk2NY7lmTSeZKg7k0m+RxTdOEYELAT/xtTMLhJXaJGA7iGWeuo0IIdBGJAHx+foZbR53bZrOBbqHIJ03T5+fnjx8/KvIBwaRUt5mxGgJEJHHa5O8sgX2QYPZMJhPUEVFvFWYoCfCBVDskyhnwRfXUmBD+Z2o13/YwYv3Yn/9y1Ska3K9Y7EUjQkgVfy2RNG3lryX7W9rNWMCkj0OehsWvuJYXoxH3BRlkHOzsogwqraylVfygtMrz/PHx8cOHDwfX8lJj9m8hn4Lv0otL/0JeKFAov8pz5IoOmxLJlJHHP45jwzAWi4WmaZ1OBw4aQ78dkwAAAQBJREFUWPOc8yAIms0m3i9WONd1ZYQBDN8kSYB+d7vdxWKh63qtVkMljeVyiTNhluGg53mw84Ig6PV6vu87jjMej13X1XV9tVrBtr66uppMJoZh2LY9nU5vbm4WiwWw9zRN+/3+aDS6urryPM8wDMuyVqtVu91+eXnp9XpRFCEzCGa+53mIe1gsFvf397CKlsulruutVms6nXY6ndlsJoSA4gJdBC4h3/dvb2+fnp6ur6+DIIA2M5lM7u7uxuOxbdtCCDgORqPRzc2N53nQZnBrGfIZhiHa0263cWvTNKfTKbQZqEpFrWixWDDGWq0W/FzL5bJer0Njg7IF/cC2bSjECPh1XScBCqEAAAEASURBVHez2cBHAyABbxmueVlmDeekaQp/fSkAZR8nLqJoxaELMGl/HiF6LRfC87x2u1Uy9Uo6wbcZx3guxD/93z/95cuDbVm/+ZvPQbCK0my9Dler1U8//mRZpqEbd3e3/Xbz17/+VWMX0CZZFScLJkKxYfJeWZbBL7Nf0UvO2YPzrjgBRQGiwzSRTKR7TrKS3kmxBzeWzsH7gkZVEn1FQQdFCn2KZG+lBud5jnn65t77179KKPqbO5Xv0rjLZJbs0mVGUTmTPcY5hz1JlQ5aPdpEvhrk4ldsDyiOY06RfEQIsVqtgKup95UQAt5VdT6Msdls1m63SaqkbDabUkmMi1v18PBy+haBAAABAElEQVRwf39/zNp/FzcUF4ZEVVfO8l0hhNMnf0P40zSVoYtSP5CCu6QuMMZ0XQcSAJwf5iC0B2z8xFepIkDNgpIk4TEY36gcxTmHL3yxWGCdS9PUdV1YxvP5nHOOD+12ezgcArEMgmAwGEAPgF8PZvT9/f10OsVauN1u+/0+QqRHoxGWcxS1fHh4gE9qu90Cur++vkbcAGJHbm9vJ5NJr9eDzwIrdK/X8zwPWdm22y0UEYQoogODILi5uXl8fLy/v4fLoFKp4ELcYjwec86xbCNuAJ8Bob+8vHz8+HE8Hne73SAIELAZx7HjOEj35/t+nuftdhu9AU0lCALOOaIZXNeFNwQK5EtnLAAAAQBJREFULox+wAOMMdM0oc8h/kNqfihqhIOcc5j++AtnihwJEgHd38Ujf4IUXiwWlUrFdd2i/irXBijZ0ntVyrRXXEHzwk5DjJbDysGhsJtvw32nvr+8vCC6q7iCgmFJLshLikfkZyxUvV6PJOYs36X/Lt1CLmalS6S6sP/Tjz/++OnTpzezIklbZT/kS7ZKfn1bKgmklOWT+fKf/99ffvnl5/ubwW9//Td/+vmX0WgcBEHVMLbb7WAw6Hc7N/323d3dxQs85DhJuR7GWJZlq9WqlKuluL2mtO+s1F2lc6Tn4mDL2dnyPcuy6XRarGH/Liq9StgG6qVNhBDA/9SVsyzLANyqtNyWbsoAAAEASURBVEcSoj9Vni7f1YgkdGhIjUqRD/oNgSskyhmmjyIfEEqfkShnz8/P6lVN0Vel8CoVbkmSMMbU3ZrA86Tv+PTJfLVawSkO4G6z2cAdDrUJoZQAUVqtFgL2cQOoTY7jIFbDNE1oUaihiZ0RjuPAzwIjCeeYpokgcUSDAv/HGon8QDD6oTUiXEluPCnGnLLXYEDx4P4iXcQFXz3/RR39/Px8fX1d8q9dwEcIAY+VIh8Q4jZOmGgHF4b9mwohEBlTYrXfe2+2me9ye8oZcpDJOQxhOFar1ROZWt/sQKnSYc1jxwdAsZ0nkAb0leM4VBsCBoNBCYcXr2Hd0t2P/SR3wBRVCkk9f6WCAAABAElEQVTydexzEAVsCSQt7DN2awJ4YGmejybLP/744y+PX3KRp5uNZVm2ba/XUbvdvO61v//uu2bTvdjjgIYhlpxKOYO8YnvOgeK4FQWQTLakeKbY1aWFGnSw5exssYPO73Q6F/eS/KtpGtJPqieREUIMh8PBYHDZmC8OuTRNZSFmlSaB4BNXRM6wGI1GI5IErYwxPCMJciYDSf8lImpUVp8Lev6gzQlnq/oDSiHf6XTU3ZroecMw1JEzqDQYD2/y0RFUCNxV0zQkieCcI0Vnt9uFroO9OTIhgmVZQgh4AaB7iV05iFarhfGNClnYvA1VDByEEDIcG3qJtO8hzvAVITtoFRAOTKXElQAAAQBJREFUnCMDQotfS5+LAhR/EeFBJQVK8MbFPEujU7FtiGs5rSqdeRDaxv5P5xwpkdz/fOZjnvgVGO0JS+j8NQ8hvafnbfGnE6dh79g5932TDgZbvPeFguChfjOmRKpoUmk4yBM26GlWYMcYY0zoFe160GT8c7Whhet1vN6YprlaLu/vb//m8/ctx7IadaYsMVUuLxEePN9VQSj9dOLIQVPnRCqNd81xIYRKVFBJ/14ul1SJl1X4FHtA0zTP8wi3q6szwXpHWLiFqkIA3mMQBCTS5k0j+V3U7/ePcXuXNYKYM5LKYLSEmkskhbPOT3qnSS0VUa58txcDx4vbNIp7NOQJoOJVcoAZROQAAAEASURBVPksnnaBCsI5Rw63i3uhSMhrR8KK7er+krBarVYkfBhjzWaTSgoEQbDZbNRZMcaw3emvihXnHEl6SF4ilSiBqUfCijEmw1d3xBnT8P+gSnoQXcN0RlaI8/vq68SvaK2m+/Hm9q5/9fH+5u5m8Jtff/784aZp1W3L5K9lwgVU0jzUSezc5dprKt7xTStcmoJUrUJ0BwkrQoUDeShIWBEmqxsMBooc+K74xHA4JGkS223FUOeD8UlY5qGUy02F7cvLyzHY7CByz47MJk3TSLZqgqhqt3DOkWeEhBV8g+ec/E30kECvrODJUieSsj8gGSZFQvAFk7BSFyiSptMplRzfW9rYG0BtAAABAElEQVSViKqvsJlXnQ/nnMpnwRgbjUYkfPhuN7sKyUFezIklf9z9fwdpmrZYLI5J2BPEGTPr1fu729/+5tf/5re/++Hz53/1mx9urm/+SgouHeQmGYoCXcCNExWLg5OBZCbCQ8qI1NlvRZCViTBzLAaqCgfpAqatrUmCC/Dd/gkSkuOBhE4bqOcrW4gKuOAlHpyqhA/YaDQQdqaoOIr35MT4NmgQTKZyY3l7Kmkiw8jUSdvlNCIhwqlLtbQzxpC0hoQVle3CGPN9/0xD4U1CaiJFJgBsPM8jWRLgx6fqLkLERULO/GvyEXFCOTuNCV0Wt8EZ0zjXNV41KkZVNwxdq/AgWEHGI2Z0gwAAAQBJREFUkRAV9im5Fb+qKGeEFb3UmcjdMzIjuTpPEv8OCElcSUh9w6B0E3358oWqVVS4AIIxlsslFTcqHzdjbDKZHGvVu0SHeE91jdPEOacCPoQQyNLClG0biJQztZpXdbuoHH9yz4sicc6Rd0CdFWEGWsbYL7/8QsIHwXwkrBhjqxXNygcUl8qcRbZhEla+76/Xa0UmmB4IiFR/Rs75arWiEpfIxvfmmfvzCxO+ePDq6qrkkpP03oaNx2MqmEoG1f5LkEoj+ZECya/5szyX/1/1dunWWI/VxSDWKlHIr3sBE3nharU6NubPXzBAyN1/QWP273t3d0c1uqgsLkbqAmZENfr4Lrnvz5MAAAEASURBVN0/lcpOGESBVILqfDRNo8pgwhgbj8dUrBABr84HEvhMnEiT11QqFUKjloSQM51qVaAKomKkyBlhq6hsDsaY4zhUi+hqtaJCzqhizmAJqfMBIZU8CavzTf9jS6wcAMjVIn9SUc4I7QdaXyQhib1khOdcIj9jl1nxK96j+sMWrVNFbkiAfHAAvJfzxRtI9wlVFEmIpNwcox6l2NZGwgr5pUlYCSGo8mgwxhzHIemxPM9RdeO9VJJs+Ey1T2uf/8WEped9bk0MR6pwcqpwJWyRIMHzCHO6MMaosGXaMIJ+v0+iUWVZNplMqKSA4zgksgnAElV3QTkjmW8fPnygiik5MwxXPIHeAAABAElEQVR5f6u5DGOXRwaDAdUQBZ5H0lfr9ZoqumBf+1EUoEXVtrgtoMCfadrX/yAJSuHWUkWDAFTPCMA5l0DCxdzkgziOc6x/3sucCpMQQlDVUGe73dzqfIQQnuep8wGhkoQ6H875er2W9crUuVEtiCjzQMJK0zQSUxD6DGEgU57nJGsr5xzVyc45uez4UL89NqeQsIJGRTIWa7UalbbB6DAqUcgqok5UGwI0Tet2u1TI2Xw+p4Kp1Fc7SdjIoz60IMepUARCZ8p0Os13hSZV+JC45ySh9CEJK0Yaooc3eFmE6+vO4YzxNM0YBQDDd0XQ33XVsfe1Wq2wXKm/TYQrqT+gpmmEEC1raAAAAQBJREFU29XVYx5AQohPnz6RsGKMoYi7Oh+gJ0jYrs4NxSfU+TDGOOffffcdFXKGqiokROV8ZzuciITV+RFW314zlaaZF6oRqxDnHDXpSFY+GbpBQlShlChCQMKKMdZqtagwy/V6TYVRYas8yXhAwSj1JnHOIZjUhxbnvNlsUtmyl0H6x7iReGeEECQpdkFRFFFp6kIIEkBC0rsGg4SjXneyxhgXOUPRCxLNOIqi987EYyHYqHtNomojzpJkdKH0pCIfEGF+rIeHBypWhHvRdF2nQs40TUMKUhJWs9mMyntAMj6BfBPauvBFUm2meV/MGWMMOVrV7629LumjQmKvls7FBFWPhOjjgnYAAAEASURBVBVjjCoLDuecUKBMJhMqjYpwH5zrulQhF4vFgso4phJMQojZbEayp7hYn0rSxdwurvmzT/P5nGpcmaZJFTUoCunvqRieb0XsvyDOOWOCc8Y1JkSuKSdyA0/TNNVlIJoaRdF2uz2W5e6CniQREf1+n0rUUO18r1QqhFHFJKYpCDX3SLoL6V7V+YCoYs4454Sb319eXqiyPVSrVUJ858wH/DbtcXv1GxM6ehmd8D2U9ulyKlU9v5g454QoLlVOOMaYYRhUavFyuUTpX3VWzWaTKpUG6riTmGiEiqx8g+rKmed5VHvEOp0OlWFDiMjSmlsyaOwy5Ww3BoQQOcZCoX785UQ/jglrAAABAElEQVQYOiObKg5tSn3vYLNtm2TkCyFeXl6ohDxVpQHGGKFDg51T9+wMQrhSFEVUyBlVjlbGGCGGHQQB1Xi4ubmhksxil6Fakc+7osy/DRrUXFK8NysMRPUnkd4B5UYx1F5Q5wMijIcl1KhqtRpVhjnCLZbNZpMqcHC1WlGl0kBWP5KpS2jqLZdLuai/a+UTQuSvaTAYHKvtKM8556UIIXzfp/I9UUUNonNQKl6dG9t1y7EOF0cC7+T5YpeKQkaJUc3EPM+pEFC4NUttLu4zPX9IUIEumqbd3t5STZ/n52eqdZ1wn1a1WqVSr6MookqgTxhzxhhbr9dUM5FQZXx+fiZEZKhC0+MK+AAAAQBJREFUb2u12rvdmoxoRBI6GpIkodpRcn6PnENUTjFGmkqDqm4B57zdblPls10ul1SBg7VajaRVWJCoPO++71NB+jI5mTosMRqNqBLzmKZJZdgQ1upBbCuV4sI5vyBV/UEIitEt7ZxzKqSEMRaG4Zsy8Mx7UWFUQghCjYrKTBJCUGXlYIwlSUJVekfmqSfhRjUT2a4Gtzof6P1UDWu324TygUo5Oz9+7FuHUiV9FkKQsIK4pBJztLHDVNoGIy0O2O/3CZEzKl22Vqv9VfUVYkUJt+4S5gKYTqcXPGNJauABHceRZW2LJ/NCkohz3osEhEheYpqmJNbIQd/cpbzwn2/i7UFgDyHsMSAAAAEASURBVN1b6q6DZ8qDhMXiSLQEvPRms2kYRtEVqx2ic7idyAj/XiLcrk4Vj8UYI9yaYxgGyeojdkmqSXqe1mmzWCxIlDNN01zXpRpahNvMoVGpjy5IkjO1mle7NUmWduTSVYyYASVJQmVqU5n+CAEJw5BKUSBEcUejERWKa1kWlc1BmHwoz3MqlZFwi+Xj4yPh5gmSSDjoLnt7CS8hxOdRuTVN0yRZjLlC5osjDJluvL0PTrymg78yohgjyZOK22w222w2JGO13W5TOdeoEHrGGBWGzUhLHhMiZ2KXVE+dm6ZphLncer2e4mSUcwrQIMl7DIKACtwhTGJ/fvzYK+WMBE7IsowSL8tYAAABAElEQVTQCUJb6pWKFeEWyzAMqVhRSUw4U6hWPioHIvxr6mIOw+AyjOogUW3Y5pzHcXxBd2maxrnG2Nf/kHGLxYJqU3q73a7X6yQvMQxDqgpjZPoZZ4wzwQRjh1kV8SQZq3dMOWM7+40QLSaM/qTaKkuVnEzTtCiKqPqKMHUCIXKm6zohWqwR1ZvmnNNWiCYxKWF+kyA7jLHBYECVVRFlHkj8gYZhvBs50zSNKomUdIUoshLvrPh2mhWh+5lwiyXhNgXCgpiE8XnIkkUyGIIgUHcQoCWu61L5nk5HBZ0/hhHe/q6OkjHdQuSMyf+ccz4YDKiiQGaz2TnI2TkiFXm2SFqFGX3xp33v8QAAAQBJREFUuCq9FzCUPSaO7ACQ7mCpHfI90jSNdm84Fbc4jqWet18b9F23oNI+hRCdTodKas1mMyo9j7CcDKfbVoyNJlQ9P5vN1PmAqLZ8cc4ty6IaD4Q5gDhpLZ83ReVXcVQ8ROomoIlQKQZJqFClUqGCJTnnVGFGAEtIWDHGCMuutVotKmfKeDymcorZtq0uNNESwm5/Uzk7kw983O9yax48k3PGOR+Px1QDHuUi3pzR5yj0hOg1YyxN04tHaaklnPNzioiU9LCDR0BU04dKnWUFsxlUUs7exarX61G9ysfHR8KNflSKC6F1mmUZFeqh6zo2dKtzE0IQlp40TZMwqyLV3CHMASO4+RoAAAEASURBVESIE2VZ9uYDYhWo/O3f/i2+I8Gder/g3iT9C42KJBAPNTRIWpUkyWg0OlGo7nwSQsRxTBWYCZOdJGXlYrGg6q56vY4NIurdhXIcJJIuiiK46tRbZRjG6Ylz5l3yPPc8D0lHz2/VPnLDdnJcvkHFZ/R9H0PrNB956xPnANyl8k1nWaYy4IvvRez2hssj5zzOsbYhWFZ9uRJCLJfLer1OgpdIVK+oVhZ/Pf8Wo9GIJDtunueO42AFVX/A4XBoWRaJAFytVrKqqSJxzqMoOuZQFq+3tux/LX5er9f70cDyHOlthxohCiSPFEu6+b7faDSKB0v0lUkuhGBCsFyIrwd25wOPe28pAAABAElEQVS1z3MxHk8a9YamcRlhDAUXZ0qYVros928KPkxw07SYYEIwwViWZnmesZ3hBy9BlmVpmjPBttuMM55uUyHYJknSbapxLY5irlWiKM5zAQdXpVIJgkDTKsEqSLepYDwIQsMw1uE6F3kURVEUaZq2WCyq1episYBNO5/Pa7XadDo1DANBt4ZheJ5nWRayjsdxPJ/PG43GdDqtVqvz+Xy73WZZ5vt+vV7HwclkstlsarXabDYzDGM+n2PdwTnD4RAaznw+xyW1Wm2xWGy32yzLw2D9VTkDaqfruvrI5pxDaCryEUJst1toZiRqELgp8mG7lY+kr5AOgEq7f3x8pKq002g03KURUQAAAQBJREFUSHLuMcY8z0PKA3VuCGek2rZy/o7F0/Tzzz+32+1jg+H80SuEaDQa+xjMCdrXzOS1MEDVDRuIznP8Kec0u1KpUOU3xoyGtnHB5aXWYlGUScXe9RZKrYIsJXlMqTKS9BjiqKREvVgzY4yhSSQPOJlMqKRNmqYkfQX7gUosh2F4IjlZUUHBWyiCNBLAE4VEejgiA+eBH+Nrmqbb7ZbvSqTDrEqSRB6sVqu+70O3YIzV6/XFYsE5D8NwvV7X63XYh8/Pz9VqNYoi3/cbpvn49OzYzmQ8ZkzEcTyZTGzbxnLz/PwcRfGg35/N5pZlIqVwFEWr1arRaLy8vNi2/fLywjmHNrx96zYAAAEASURBVGPb9ng8bjQas9kMGwdHo5HrupPJOEnSLMu8iddsup43hW60STacc8/zHMcZDoeNRmO5XIbBWtM0f+nXG435wjd0PQzXm03caDRWq6BWr0XrSOOaELkQebVajeO4Vq1tt1vONd3Qt0lSNapZlul6BQIEqzA+wNiGqgD7tlqtAlZHCi1UEdR1HagKFNx6vY48oxiB+MmyLBiiOFir1eD/NQyjUqk0Gg3cC8MDlyBdlGHoVaPGpZ4La099RGIzAonikmXZdrslmW++75umqQ66YBYFQUCynxFgCdXOIMxkklZNJpNer0eiBsE+U9dlIVAqlQoJ7rJYLBB2pq67QDiSdPtwPIeiAAABAElEQVTLywtSnakP+MVi0Wg01Psqz3MIegiUE2eKM7aSBUGQZZn6DmUsVAD75aQ+3QCx54YrwmYYXRCv4nieDvlT8QMr7KRD1OBqtZIQDn+9caF0ufwsm4fPfFcaNc9z6Bx5nstRUTy/+Fz8dUFVIYSmaYgPkwu/hM3kmfI4biGtazwLEA4UBNR2pfmm0ym2FwBRgJaMe6EgMroxz3PDMJIkQVKkNE1N04TwhEAWQsRx7DjOcrl0XRfQeKPRWK/XrVZrtVrV6/Xtdrvdbm3bXi6X+CnLMpzsuu5oNGq322maBkEAPoPBwPd9OOKXy+XNzc18Pndd1/d9znmr1ZrNZt1u1/M8JzDeCAAAAQBJREFU2EJhGPZ6vdFo1O/3p9OpZVkAOfr9/mw2a7VaqCZSq9XiOG63277vYzpst1vTNHEOkBJ8xR1t247jOIoiXIK/zWYTU6DVavm+77rucrnUNM2yrNVq1Wq1PM9zXTcMQ8654zjz+bzX62Eu53m+2WxM04zjuNlszufzSqVimib6YTab4Y44iP70fd+yrCzLsiwzTXO73cr3CGSrXq/L9OxyoBan+ZmCaDgcIvjhnJP3CbMDo4swuelqtYIORCLkOecaRU02jPlzHFPflDPgbyTmC8kGabynPM9JlLMoijCj1Fu12WzCMCRJcAeclspEe35+vr6+JjEcl8slEmWdf8nBkYOWdcQAAAEASURBVCOEgAn1rmcUR7D95XJZqVQsyyouYPjp4JJ58CeQFAfs9aIu2e7zYYUlTS51jLHxeIzdu3LZY2+tuKW+wvEsy1arwHUcvos4P325FKb7CBDmP2AqeS0/FM1Wagx/vZsHt1utVpqmvRmhcnAMlB5BdrtslYzAgCYB/WCz2cAVjtmx3W6RLIpzXq/XwzBsNBrIb47066Zp+r7vOA6mOW6xXq+xFlqWhQzmtVotDMNWqwWfRbVaDcOw2Wwul0vLsubzua7rtm1Pp9Orq6vn5+fBYBAEQZ7nruvO5/PBYIC1c71eb7fbfr/veR6UhlqtZlnWdDodDAbD4bDVakGHaLfbnudcc9vDAAABAElEQVRdX18DH0rTNIqiq6ur+XzebDY9z+OcDwaD0Wh0dXU1mUxc10UquHa7PZlMBoPBeDyGVen7/mAwgNUUBMF2u202m5PJ5Pr6ejabVSoV13VXqxUOWpYFnabb7b68vNze3o7HYwjS9Xo9GAym0ym0HyGEbdur1arT6SwWC+ABUBTm87lpmnmeb7dbrPRgbppmFEWMsV6vNx6Pu90ulAnLssIwdBwnCIJarQbrGtpYo9EATFKv1zebTb1exzmc8+12C5UL2gNjTNd1QI8YDNLmLA714m4eObAfHh5kYT05EYpnlmY621UllyNQjmHcGn8PnokxjCaVhIZsD/4mSQL0pTT70FKWswAAAQBJREFUSm17c0JBRUiSZB+HOzi1D07J4ryGkspe2zMl8XIm4RkvXsjyXVmUPM+n02mv11PXQxhjs9msWq1ivVDhg+6K45gkEiZJkjRNz1EZvw2j1WpFkgocCKo6HyHEdruFSFV/VVmWpWlKArrIaUCCDj49PX348EGRD4gqri7P8/fWCdmXArKXgIHLaJ4SZrDPRIo89lpXEIVSNsULi2pWka1c+MVuF15RYZpOp51Op7gvHXG7MP0RLSGtTMlH7FIISrSAMbZerx3HgVUKBQKp/izLCoIAQjmKItjKsIYBq0DFh1kfBEGeMaxV/X7Xm3rdbne1WoVheH19PR6PsaCCG9bX5xqiNiUAAAEASURBVOfnm5ub8XiM7GgvLy/ff//9ZDLp9/uj0ahSqeBeNzc3o9EIsmC1Wt3d3T08PNzd3T09PbmuW6lUxuPx58+fn56esIQDe5/P57e3t09PT9fX16gnfXV1hWX+l19+6ff7WZYtl8v7+/sff/zxhx9++OWXXzqdDud8NBp9+vRpMplcXV0Nh0O4h6Io6vf7GAlZlsn2393dPT4+Yr/eYrFA2z58+IAQjUqlEkVRr9eDWoBQ6GazuVqtADkAoc+yDBoS1CYYYJzzOI5t24azZrPZ4GQJEbHdeo+3XKlUoM5KwQXUR66+cmDIkSZhpH0der1eF2dicVSX9P7ipDg43Xzfr1RqwyvmAAABAElEQVQqxfin/dPOnKdAUNQztQohMJLVrdM0TTHwSJwtgDfUW5UkyXA4/PjxoyIfyS3LMvXAYgxCKjc3wr+ocIHJZNJqtdSxjyzLZrMZlXIG7EM9oqaIE6krZ8DCz5mGXIYKAqDe1/330QVQcakrWg8o3l402Ysn7wupIpVWbilNiotridvBa7893g5sgNpbOn6QW/FrUZTLhTzLMqDNRTSiaF0VPQI4B/mFN5uNXNRLB6XvAGYl8Hx0JuxU0zTDMITnO0kS27aDIMCiDn95FEXQDxzHWSwWUK3CMOx0Op7ndbtduZglSQJsH8axEKLX60FZGY1GrVYrSZLNZtPtdmHETKdTMp8ffQAAAQBJREFUGNBRFHU6nfl83u12AarjXu12ezabwWIGsuX7frfbHY/HsM6TJOn3+8/Pz/f394vFwrZtZPFttVrj8fjq6gpxabDgcRDYgzwHoAVcycvlEh6HZrOJijTtdns6nfb7/fl8zhizbXuxWPT7/ZeXl1arhR4DhHB1dQWsGyoOII1Op4N0hWAIPYBz7jjObDbDI8OtkOc5AkLlQcZYEATdbhcIDbQxhHkCSIDASpLEcRzAA1AggA8B1DFNM0mSPBPzxdx13UajjrEhBWiapqV8CtL7tj8xQad93Acny/5xzJ0wDOEdkHNnf4qd5lwUDlmWSXNLNr6okRd57n8oTl5AMuiK/R6JcDcAAAEASURBVLaVzi/aVPJeUr7leQ60WApfedVpeGOfIHzhxy9KktJpRflQkqLF03zft2279B735fM5tFwuhRBQ5Y+1/Jy1RwgBwEx9aYcVhEdQV6rQKnU+SDPuuq4iH9BmswGCqMhH7DLekew1gXHVbrcV+YDgVFV3l8GOLaFKmIYXaEVwQGMpPHNsH2tV0d+qrpzJYPrTZ3IoQDAcOefVahVrvAQqYTLGcQwlAFoO7FEYwfCRyxW3VqsFQQCcQC7V+Io1fr1edzodqRzAYwKPwOPjY7/fz/M8CAJg+FARJNgOF4Cu667rYgF+eHjo9XpIZ9BqtYbDIaACeGFgso9GI/DBzkE0YDqIY6o5AAABAElEQVSdappmmuZisYBPodfreZ4HIBQ4//Pzc7/fR+Lpbrc7Go1ub2+n0ym0ojiOb29vPc+DdoI4QehDw+EQOodt25qmIRICj+z7PtbvJEkQK4CIwjRNoXI5joM4LcYY9DC5qKPPAQEmSdJoNKS5v91uscOoVqthiyvb5SLBUlFyCkgMoAhT7Sumxb23+a6OjVxCJOwvVzIZayL16S9fvlxfXwOzlBcW12YZ6cIKC+rBGbKvQ5dYnRjupVV2Pp8julPOWKlen54w+2zhTZYqwkE+JXhvH+1jjMHvI71yx253+jElDYdD13XVlwRZXPwcbEPqQMfODMNws9l0Oh3FVoGkcqbOOKeRfgAAAQBJREFUCqYgdGIVWAI9gD1ZJJui4jgWQpCUVYBv98Quy4PD8mCrEMdGgpx9+fLlu+++45yro0FU4c7Yc0c1SmWAgSIfGe1HElEjdmXUFfmACKOGRqPR9fV1UcRJ58l7tSLpACkiLBe0ilY5K7bq9Jk8TdMwDBFyoWma67pxHGNPR71er9frcRxDWYG4wVeEfcBGhIqA0ELGGKz8arWKtRxZ/uEwkis6YICiivCtQQUrEzomHAT7y/a+uXnCzN2ft6V17iAOVwIn8CEIgiRJ5Aa9gzc9hkzsPwKQpzfPfJOz2GGfF4+/YlcAHDqGkRwEGtnrdyePFOORT7T/nBb6vl+r1YoOgsGtEnkAAAEASURBVH1M4iBKsU9w4suteQehl2PNKJpxQghEf0txWRpXxRCu0sHSm0rTFE5JkmUP5V/VxSVCoAAZnq+csSPCFEinOiaBvf1xHFcNQzcq59jWp6VznufYVbe/R+QcxbrQsK9hRoqbq2RPYsyTeLIQJXLCZD9T9RdCAG8mQc5gOjIK5Iwq6DZNU0QKKvIBAf4gQZXgISUZDICKYaCq03A47HQ6JM+IANNjEPi7uAVBgI2T/LiH4fxWQdW5mEmRG7bIvMlH1zQNAQ31eh2PgRS9Ms8qfoU8xa+cc9u2oXhB+kOjxLtBFariAoNz5NciiH1westlD2O6tLCVTtv/cPCZoa6WPJsQdf/CAAABAElEQVQHue2zKvLP8xyBvcfOOcjtGIld9oRzTj7NmXM+m80urn1emgxI53hBn+9/QOSvjDlTGdnF7W8HW37sSImA7/JdvLBiq+DQPH33MzV1RF+RQEFU9jrbCcdzVN4TlzPGOOe1Wu38RNsnhbJA0qVzVqkzW845hyn41q3fpvzSkmX7Np5QSOxX5MY5x9J+Itjl/DaTZHkELZfLZrNJEvxEVatH0zTCSlAqqZJLpGkaVaZxRloGptvtqoyHom0PZ2tRBqpwltJGsXnAmIo7pi8mmf7tzSZpwJOhYOKDPCK/FpGP/dW3RHANKD4A2/UIfD3q3EjQCPDRNE19AwgIY1GdD+jqcObHzQAAAQBJREFU6oqkVZxzz/NyooTIKrt4SkRSIYAxxjlH/M0F3cV3G6rlkcFgcIKPdAqfcxCZqKh6noS0XXqec/qqKDoO2r7b7RYb/c6kk3M/FyxPtht26KWUmFwgQ+QlpZd18N2VLrw40aNsquxJ27bl1pPLuEmeML8v4LNPVLU1sfn9TLT7TaKKoGKMPTw8ULGC94CElUZUWBOkntFG0mQyUXlGOURV8K19ajQaJAMeb5AksykrhAu/eearWnIknaLtNj+rE2wOklYRWglxHAdBQCJNGGNUkQ2MseFwSMVKPTeMJCpzFi5gkrJLQgh4pUle4ng8vmztLykN+/aPCtXrdRIbKc/zOKz50ZQAAAEASURBVI4R+aTODUGo+8f3e+MghsReaVo83aYV7W0d6E17EkQlABljiOK44MJSA+BPuWCP+f7QYowlSYKcFxc0rERU5hbflcIjaRUyoKrzYYxR5Z5kl9oGB4kw75IQYjqdkrBiO8eaCknRRxUGxxhbr9dUJewQfE+iRZwPCnxTzhBZon5vpLdR5wNziqpi136amcsIHrETO57eS4Q11IF9qvMRQrwrj8ZpiuOYpGQs59x1XaramkDO1Ful2JKSOoLtIyTMwzB8F0Z1jDRNQ+zpxRyKsNZ2u12v1wdP2+8NscsmVfpVCMEEY0zT9aqUYG824E0zzzRNKbhOQ3Fv3u5i5Gz/vogrxtCzAAABAElEQVRQuYAV1oDig5PkGAdRuQ40TZvP51TIGeI11fkwxsIwJOHD3rmj9jSfcwp1nEmcc8LamopNKk7z5XJJhaQ0Gg0SA5WRQnrvVs44RWYyEAL61PnkuyTg6qwYYzIPsjptNhtCjYpqMWaMOY5D5QJG+TB1VoyxVqtVSgNxGWGf72UL1T6djy2/SVRZeRhj6PbzX6Io1K0rkeM4BzGqCyhJkmMa1XvphOVWinE8+FU+rGCMM7HdblHfT33YIz6aCmuEnX36tBPvThLfVYq7oBn7Y1LX9TPd02+S53lUKAI0KhIxiOQ76nwYY8vlEvsn1Flhb5w6H7bbL08l5KlkKWNsuVxSpepKlAAAAQBJREFUWeCDwYBqpY7jmAQ547vCblQGyZnBWt+mBNUCg0od6nxgTlEFSSBZlDofiFT1ZLaSGxUrxth0OqWSAr1ej0prRApTdW4ymImiUawU961ChPF52Gt2/kw80f4gCKg0KhUYqUQocXPwFucoZ6Wr5HZ09ffIOUdWfUU+rLBDWZ0VVuLLIiP3e4xQyb5449E++b5PIpkZY1Tdzjm/v7+nWoypcAE0hspPJ4Sg6nbGWL/fp4oGJhSnVIis2JVBo1L9z8mjwYrKGdU2EGTiIGGFHF0krKi2zHDOUfRUnRW4EYJwg8GACj+fzWbqfEAoYUnCinBvged5JHzYOxVZZLItupzkT62fBvIAAACGSURBVJzz6XRKZRmfk68LjTmHFdWMTpIEdZdV5C80RcG4plWk4ngOfgbLSr6C0q/I73hxqyTxIxm29087R+XlnKu7p8WuzCUyTSpyY4wh2zMJaZpWTCOsQlQbAvI8h3wgUc4IVzFGF8LLqDcEkOBwYpco4IIL5dSWB6kEF3+d71Odzhzt/x8kal1RbRmquQAAAABJRU5ErkJggg== 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 iVBORw0KGgoAAAANSUhEUgAAA00AAABiCAIAAAADc68FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYUCA4kGEh6cAAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nKy9WaxsWZoe9K+155jn4Uz33Cnz3sysGarb3W2Vq3HbmEYCpJYleLCQQEIgDA/ISEg8NBiD8KuhLRASllEztBth2m41ogd6qHZ1ubs6s6qysjJv3nPzzDFPex7X4uGP2HefiDhx4pzYv64y40Ss/e+1117Dt75/WIRzDrcL55wx5jiOpmmUUkLIhsJ3im3biqLsrodzzjl3XVdVVQCglO6obTabZTIZWZZ30YOCzZXJZHZ8RgCIoqjb7TabTUEQdtcWhiEhRBCEHfWgDAaDarW6Y8sDQBRFV1dXR0dH972QMQYrr951XUmSdn9GbPn9/f0d9aAEQQAAkiTtqCeKqLwsYgAAAQBJREFUIl3Xc7nc7qoAwHEcz/OKxeLugzEIAkJIKrVijA2Hw3q9nsrwsSxL0zRBEHbvqJxzy7IkSVIUZUdVjDHXdVOZCQEgCIIgCDKZzO61Yox5nodT/Y7aoigyTbNYLD64MvFn27YppaqqLtVq7Qxwp1rOeSoL0Hg8lmU5n8/f6+6wrsJhGHqet/uSgcvidDotFoupPKPv+5Ik7d4ZcE2UJEmSpN07/GAwqFQqu0/yjLH4AXevled5jDFN03bUg8BGluVUamVZlud5lUpFvLNoEAS7T20okiT5vo/gbEdBeLp7Q6AQQlJUNRgMDg8PU0EbjUYjrYo5jsM5LxQKqWhLSzjntfMDG0YAAAEASURBVFrtAReunX0mk0mj0di5UkAprVQqu+tBMU1TUZRUYBBO5bvrAQBFUUTx7uG/jSDUKJVKqWjLZDKc81S6fRRFaQ0flLReIqWUMZbKtINY9sE1we6EoykMwyAIUpmfETXeWQZuGciUUs6Bc+Ccy7IqCGtaiVKKNMSSEnyotW17dXXVbrfv+yyrwjkXRfG+M/xtgAk7A2MsFeyiaVpafd40zbQGtW3buVxOFMUt67Z2fccvl6q0NB/Gf8bXJieT+DMWc11XEIT4S+xRS5MPYwy/j6/C8Yu3iAszxkRRjKIovjteGI+C5Ddz/Rw4J0AAOBAaPwURBcm2XFmRAeYlBUGINUcT4lBXAAABAElEQVRRJMuy7/uyLAdBwBiTZTkMQ0EQfN+nlAqC4DhONpszDUuWJVXJjMfju6G6JEmz2SyVrpNsst0l3TUPSZdU5ODgYPc9EAAIgtDpdNJ6zAdMTBvkXhvZDUII6Xa7qagCgFqtdufqsqXMZrNU9ACAIAiptDwhJJ/PpwI1AMAwjMlkklbXSnH/4HleKno458gfpLXsiaKYSt0opa7rprJfBwBJknacu5LV8FwP4IG14gsBAEEQNnSJuFiy+/G3AsleaRi67wdw+4Qfr9xI161o4/Gf9Xo9/vWWMhDjyw1CCFFVVZbl2wosKUcYF3+O/xt/g4N6802TapPPm/xACY2iaOnWOue5BAAAAQBJREFUa/9c/j668SfegjFGgCQLMsY442y5bLIA/u/G7QCgUqmiuWyl/I3WYAz/seRPsQRBEIbh1dV1EIT4J+fc8zzf98MwtCyLc+44ThiGjuPatsM5n81mjDHTNHVdj6JoNptFUXR5eRmG4Ww2syyLUtrv9xlj3W7Xtm3Lsvr9PgAMh0Pf9/v9/nA4BIBOpxP4wdXV1WAwsCyr2+1GUXRychIEwWg0Ojs7I4T0+/0oijqdjuM4pmleXV0BwHg8xjKj0YgQ0uv1KKXj8fji4iIIw8lkAsAvry6DINB1vdPpMMa6vZ4ki/psZpqm67rX19cAYBiG53mGYRiGAQCDwQAAHMeZzX+H4UsAAAEASURBVGacc9d1sSmwGYMgIABAAAhhPJIkifC7JnokJBVF2X3GxFeSzWZ3t7Si7QP3LrsT1MiUprIYc87RppkKnzedTkulEiFkd+Doui4ApLJZh8XOOBVKP0XCuN/vp9LyaD1MhRoEANd1RVHcnTzD/pDNZlN5iWEYcs6332HfJpxznGFTgf6MsX6/32g0UulaaMff/Rlh4d2BnMSOqqIois1Yuz8mrlW7G4wY47iEU4Gu5c/uFFxjcEIOw3AwGNxGnsVIgnMej9bFlyQGmpQCmpKTe9TbWizWeZsQQkzTxIZCT5i4Dm85Hk4QNnLgAMvMEDIxeNX19XW1WlVVNfnUMVXDE3R4rUVoAAABAElEQVQUXzCmMYPL+Q1yCEdQLpfDdhNFMS6JJJ/v+8gVRVGkKAoa/XHLgR8ymYxpWKqmea7nOHa5UprNZoVCAW24vu+7rlupVKbTaaFQ6Pf7pVIpCILZbLa3tzedTjkHgQpRxEqlUn/Qa7dbFxcX2WxOoKKu6wcH+ydvTp4+fTIcDl3XrVUb09msUa9fXl3s7+/NZrMwDJvN5nA4rFQq19fdQqGgKupoNGzvta6vr0ul0mxmZDQtm81ed66Pjg6Hw2E2m8WtTjabHQ6HzWZzPB4DkEK+MJ3OarXa1fVlvV6zbZsxVi6Xx+NxpVK5uuo06vXpTA/DoN1ujkYjfCj0zbAsq1wup7D9ogAAAQBJREFU4wzpeYFABVVTbdvK5bKu6zLGVFUNw1CWZcuystls3J6e58myHEUR0mbo3ZTk3hZvVsB3FndALIOfgyAQRRFprF0GNefc9/3dYVIM+FzXLRaLd+A8BImI85J3fdi8GQSB53nZbHb3pSWKIqQud/ddw72C7/u7+7jAwuqP9vUdVeH+o1AoUEp31zaZTAghafHwQRAgRbyjHsbYq1evXrx4kUqtdF3PZDK7r8QIEVLpDwAwGAxUVd0dBnHOkZ9PhS02TRNdN3YfPrjk4AqKa148qySXulhuuyNfGFNwV7n665L9JV5NVycxQkgURbZt4xoAN5fe2zQvqVqyy/i+zznXNIM1KDEAAAEASURBVC1Z5q0VZt3TLdU51mnbtqqqyf1bsmRs4lkFIqvtaRpWJqNRSoG8rTD+N1ayZDNKfhlXiTPwPN8wjHq9RuithrMNeCXecidsVZQSEkUMFca2LUEQgiDA94J2KHzprusCEFxuFUWxbSuTyQwGgyiKms2mZVmqqtq2LQiCoii4rg8Gg2KxGIahaZrlcrnX67VarfF4jBja9/1qtdrr9RqNRrfb5Zw3Go1+v7+3t9ftdnGxtyxrb2/v4uKi2WxdXV2h2/H19fW7777T6/UKhcJgMCgUCpIkDQaDo6Ojq6srTdNkWR6Px0dHRycnJ48fPz49PVVVtVQqXVxcvHjx4uOPP35VbAWPAAABAElEQVTx4kWn00HfG13XW63Wq1evnjx50u/3DcN49913O51OsVicTmf5XI5SQTdm7Xa72+2WSiVd12VZzuVy3W738PCw3+/n83lkrfL5/Gw2q9Vq0+nU9/16vW6aZj6fH48n5XLZNMyIRcViwbKsQqGAuDYIgiiKstksLkwIa3DVkyRp0RNidPK2a11eXu3v7RFKCUn23ri7vu0VcS+iSQMkgVg5cODAY05mdcwuOjYAAGec0BvF5liZUM65bTtaRk0OlnXzwNvxQsgNQBYPEM55r9er1WrYCLBObg7eOUe2lu9GULW7AYExFoYh9v8dcR4AILl7N5+HOA+HEN413p084N6O9ws+DAAAAQBJREFU4yCxsTvOQxIuFV9mxphhGNlsNhV3JWSAW61WKjgPZ6hUcF4YhgCQlktWiswZum6kUisMU0jF6f7y8vLw8DCVWqUVAROG4Wg0KpVKqdCfnudFUbS7Nw9OEYQQRVFwAyaKYpLkgHVcS3LajUuiD8r19fXe3t7qPB6Xh8RkvYRmYIFFwjCklDqOg9wnIgxYwDI0CYmiiLgZXxBWIF4IXdfFh7JtO5vN2rYde8ZkMhkkUXRdR8yBfRhd5WzbxlkOCa3hcFgsFrG1s9nseDxuNpuDwQC3gghELi4uEJ34vt9ut2ezWbVaPT09bbfblmW5rttut6+urvb29jqdTq1W8zxvMpI2hPgAAAEASURBVJkcHh5eX1/X683ZdEYIqdWrZ2enR0dHo9EIe4hpmu12+/PPP3/69Gmv10Nb6mQyabfb5+fnh4eHw+HQ87xWqzWdTmu1Rue6oyhKNpcZjYbtdnswGOTzeXycbDZ7eXl5fHx8eXlZLpcBYDAYPHr06OTk5NmzZ4PBgFKayWRs265Wqxg9Nh6Po5A3Go3RaJTLZ23bIoRomjYej9vtNqKcIAgcx2m1WicnJ0+fPu33+6qqIs7L5/NozRgMBq7rHh8f27YtSRI2Mtq+c7mcbdtIxiAZgS8CKUDsjTFhg1tTSZLwpcdoFXssYlPsRYhll6aRJbQ9Ho8zmUxyQ7KE1OOODStV8gsMAAABAElEQVS+YjEuIUA4B8aZPjOKpQKlO0GEeFnELcTu4zreFeyiBwAYY8i6PRi7JGeJXq9XqVR2d1+JbcppxWFg79q9VjjiUqGKcPaoVqtrcF4URfGTY7+hlCInGZd5WLvgDjstu63v+zid7a7NsixBEGLbxwMiuZLaYnC2tsD2yhGZwSJMZPPQXWJQVn+ybTsIgmQEXHJiWvpyaWVd5SR0XY8JquTkuEpmvJ3UlvgDznF51nU96cqztGDH63r8OZ6Ck9MoixjnMByN6rUa7gWXSJokMkg+SHzfZDFCSLwYrLD3N4w4813sogzS/vgnLlecc9M0RVHM5XKoExchSikarB3Hwe01LzudeAAAAQBJREFU2hRc181msxi6EUVRGIa5XE7XdbR0cM6R0igUCrgZNU0TAPL5/GQyqVQqg8GgVCq5rotc3Ww2K5fLo9FIkqRsNjuZTGq12mw2k2XZMIwgCNrt9unp6dOnT09PTxuNhud5nufV6/Xr6+uDg4PRaIROSK7rNpvNq6urer1uWZZt2+12ezKZlEuV09OzVqsZRuF0Ojk8POx0Oq1WazAY5HI5zvlwODw6OppMJoVCYTgcSpJULpf7/X6z2ez1etlsFjt5uVR588UXT588OTs7KxTzgiAYhoGkC0IlNL9altVsNi8vL5HCwWoMh8NSqdTtdqvVahRFk8lkf39/OBzWarVOpzzWJ/kAAAEASURBVJPJZNDD+ODgAABGo1GhUJjNZpRSxBCNRmMwGAiCgAivWq1eXV3t7+8jJ6Sqqq7rtVptPB6TRUxxJpPBeDJ8TWgzKhQK+GY9z8P1zLZtRISKoiwhSwSRsd2WL8yXyW65BCxWhzyOJjTGiYLI+FsKMNnVV4fwEgUS3yXwg/Fk3Gw2ly5fO0UkR83qr+hjUC5XCAHOgZAbvEtSCYJ7snCET/qtJx9zLeBIDtgNE2As19fX9Xp9M9GwFp+tlkHOYjVFw23tRm5SrYvaEgIQsci27GwunWUxZpWWGnObR16avYfD4Y5JFeIKGIahKMr22CVeIOI/8QPOzCSNbTNjDJnaHZmajHxZAAABAElEQVQzlBTjbdFWuRpg/gDB/c8aPm/tRtw0TQRnO8JefNm7B1djh0Yr++7vGwct5zybzeI3u+A85MM3WJO3HHsAEIbhycnJkydPsOWTUGNpEsQhHeMtWGFQ4t0qACCBIYoiun3whT0FJwikQBBhxCjENE0M+0dmdzqdYv3xVc5ms1arhVQTEhVIG9RqtdFopKoqOszm8/nRaNRqtRBSIOivVCrn5+dPnjzp9Xq5XM73fcuyDg4O0P+v0+kQQnCVxQsPDw+73S4aNTqdztOnT09OTo6Pjwf9Aeckn8/rut7ea56entZqNULIaDQ6Pj6O7S+YRuTi4uL9998/Pz+v1+vD4VBVyK8hVQAAAQBJREFUVUVRptPp4eEhQhnkJ1qt1hdffPH48eOrqytKaaFQMAyj0Wjgl91uV1VVVVWRIDk9PX38+DESJNVqVdf1RqNxcXFRrVYZY1iN4XCIgAzdvDAu++Liol6v425K0zRs4fF4jBgoiiL0s8nn89hLNU1zXTefzyO+QZIDMQr+hOFX6OGB2AIdBNFYFlMXpmkGQYDYKO5giFNxHUKMm4TvyS/nXREoAOGcceCoIybMklBg1QqZBPqEEM6BM47Auj/oxWHmq4CD3DTlxN8s2RPxKuR+yE3z6Fr8tLQrgMUan7wd0paru8FkTZamjrUzCRoQ0B9r90UUnWF2j4PBl+t5XloLTFv0cusAAAEASURBVBAEMQyK5y5Y1xrx5yQ0if8cj8eapq3N9hLPcltWGF2yNi9Aa0HPkiBBpapqKq4dWKslJuUBgk3R7/drtVo8QvGnbXAerIQt7+4lEq87yK9vr23DEtztdovFYhoOqQxXwLTMZeiTtnutMI0d7ExgAQCGd1SrVRL6AeccCInjlAQqcM4IkAgY7krRZRj9KmI0HYahJEme5wlUECgNw1CURNfzFEXxfZ9QQkXR9wNVVTzL1lTNcZyIcSAUCGiaahsGOrF6ga/lsjjx6ZMpmvBmul6t1UzL1DTNnOmYamE2m6E5QFU1z/WjKKxUqr3hoNlsnF9cNOp113IiFpVKxU7n+tGflPRXAAABAElEQVSjR+jviQE4tVqt1+u12+3RaERFAQjxfb9SqXYvO/sH+71eT1FVUZYs06rVqp2ry4ODg36/n8lk0JOx3W5fdnr7e+3BcCQJJJfNopPE5eXlwcFBr9cjhKCzyN7eHhqexuMxpRRNCdVqFbcOnue5rluv12ezWaVSubq6qlQqYRhOp1OENfv7+9fX1+12W9d1y7KQsEEXk1wuh+i22WyiZeT09PTo6AijhGq1mq7rlUoF2cTpdMoYq1araPvo9XrlchkpkGq1ikEGl5eX9XodKZxyuYyX4x7OcRzfD0qlkq4bmYxmW5aqakDAti0s6blBJpuRRAmAeb6HEA3pKFmWEUQi8gCeRAAAAQBJREFU4MBJJAaU2JFoIi4dzWE7dmiUq6urZrOZin+e4zi7D1oUXddFUdx9SYiiaDwe53K53ec4SIC23TddjuP4vp+K6ydjbDabYQKw3VWZpqmqaipZuxCc5fP5Oyt2J1DABYYk+LxdZDo1shlNkkSAuyNlN9SNcx4EARKTu2+e0c0/Tpm0hN6218MYQwyU5B02oMbVy5Nlzs7OWq2WLMs79gfspbIspzJFoKkuk8nsjvNwhs/n88kmggclDuOcDwYDhIxxPeEWmL7ZeAUAaNNIZQuRoms48vG79wcAsCwrlUxVyNfcuRvZUhC95PN58vrsdH9v75Mfffzyvfd0fWbadrPZGptVyEoAAAEASURBVA4HjUbj+vyiXq8zxobDITqQIjIDgFwuNxgMWq3W5eWlqqqZfN40jUq5cnF+/vj4GEORM7mc67nFQnE0GtXqtclkEkZMy2SiKMpksrapo+uM53mFfME0zVwu51gWejw4rpuJ/UYdB98EMhaYJIYzwAcIWSSIYhRF6CxKgBBCGI+WtibxNAHoaEoI/kWBcsY4B9u1swsvMXoz0mp+1XxnTygAunbCTWPf0mY0vu8SvRGTasldFLuZcYYsfJXQhBSTefGDxOWXOIn4S1gk3cGFnHOOMUeINpJUH7lpu8F2YywiBDhfssMSQvBXBpwAABVoXCbJiCw9Dk9YXSFhDcHHPDvqL/Y+AAABAElEQVQ7e/Lkyf367y2SFqXPOceoz91HGgCg9XP3OIxt2IjtxTAMx3F2jylGU1FaWXs45+PxOPYG3kUwVS9S/ru3GE6+6O91Z8nNOA99/5HP271ihm4SSnPZDMANnLc63DbXDT0HMEZhGyy7qjwpS97ASfPCvd4s5r8AAAwYWovzNlRmqUy8GO++t/E8TxCEVJIcYfx1KjgPsUvc53fHeZVKJX6Jt+G8zVuaWBvcYny/r6Az6+4tj10rl8ulgvPScjRHPeilunutfN+3bbtUKs2tEre9Qs45RpkhwtvxPaGD0e7mcBztD3Y4TU46ABQAZtNZoZgXhE3+H9srR7ItlYUqxbwquRkLPQAAAQBJREFUvu+j3/2OelB6vV69Xk+FdEG/tFRq1e126/V6Kjhvd9+UWBzHQfevHfVgf8jn82kd3LLZwWBL4Zzbts05TyWYJoqi0WiUZBEeLMht4PK5uzbOOUZrpdK74iRHKeA8w0A/wtW73GvuQpSARps7n3GtpS8pURT1+/3dkxIzxjCZ7Sr3mcRwdz4plkE/11RwHga7pJJLiCc8o3bUE4YhmmVg50MEeKrnYaCZO5Uczujsmwqfh0HfqcwPeNZXKpNDfH7S7m31dueGf68dJAQIJRSAEkJTMfFIkrTEeD1Y0MP9wZfHDBkAcM6z2aznenEAzlLJe2nmnCNX9+C6JWVtgomHiWI0qdkAAAEASURBVOd5tm2nogoA0jougjGGeSlTkbTwIqKWm/uBh4vrur7v766HEJLP59OKmE6xP6TY4QkhDz4s6zaFaanaJU8yT+SM5YtTHFJptA0E9r2eHWuF2Vy3vC9ZRC5DInox1pbEQHwhqyXXClsIYheWiJKOq5pcszbXOfZdtixrm0e7UzjnpVIpLb+OtNZEFJreSQSDwSCtLoruE0v9/2GS4iQ/m81um5mTA3YbQR+2VGqFpoO0Wr7ZbAKyWXAbziMEgIiiaNt2bJLb5a4YepbKzJvMrnnfa0lC8M8wCkVpzfKZLLa98lR4YADgnJ+fn8dRtztKJpPBhAipCEZI7K6HUprW0RoeAmxWAAABAElEQVSwODIrFVWTySQVPQCQz+fTOutP13WkgnaXtPAiAAiCkFb+bUJIr9dLSxWlFE35qShMBhbsIujGkFb7i6KIMddLct+5C/FivV7fZgSt1bx0oeM4yZ+SS/v2gxRxHh6gHF+4ZKjd8klxzUtr8zabzZIPuIvsTqDEIghCWlk/ASCVM+Ig4fOw9PoeJrqup4WByuVyWin6WRrH1sHClyktLOt5Hh7LcRddSXgUBblcOhsXjN/c/SXFezu+8zmYOHmwiLFoOd/pqmyD8WNL9y61ilW98847qZgOAcBxnPF4nIoqACiXy2ltQ1M8cU7X9bRmzFSOZEAxTTOVJYEQgllCdlcFMo8dWwAAAQBJREFU6xL8PljQ6T4VVZzztI4hwZGY1kuEm6dMPkCWyKe0zt7F3Lm76wGAKIqGw+Fm6+fqBJjEcMlfk22V9DxZxWQ8cbzVknJCSDabzWQyLJHbaPW+2wiylWk1u6ZpKY7EtHana9tw6dfttY1Go1RqhW8/hrP3pU6WJBV/IVgY33dZfZLDIS2bBucc813srgoAVFXF6XRjexEAgGSA5I6S4oaYbMzwtL0QAoTMj8HZsf/FUi6XU9FDCMGz7VIRURTTcs5DSYuzXMtGPExSJCzTmuMAYPeMCbGkxUYAACEkFWsyAIiimGLLT6fTtGbMFEEeAGDM+MOuXZpeMFlBKo+JqQ9215BZgmkAAAEASURBVBNrS0tVskss2U9icm6bFrAsCzvq2gknVrKNtmw2mxZTggRVKqrudC7cXiilmP0nla61lnJ+2BSEgQX4eceHHY/HabX8LiN6SVIJAQYAQgj6c++uChbO03A3nweA/SYV8ganpLRI13R6MwEg4Hq2JN9tRsF9yeY+Sgj5/PPPd63VQtIK+QQAQkiKzJlhGGm9R0xgm4qkZWzlnCOFkIq2tGJRMbXH7uAMZ2pRFNPigeKgyN0F3R5SwWfJjH27awMAdEvfXQ82PqZW2V1bKhYSFEppuVzeoG1pAiQr8WFJzgazLmyQGDHEfE98OU0IBh7FapM/kUUELmzEH3H56XSa1hzzqxw9AAABAElEQVToum5aqhCcpWjmglsw8X0DDlbDJu7rtRbLdDp1HCeVDp/L5dJCVLlc7rbt1pZrfVwGs73sXitYmD1TUYUWc9gG52EK1lTuGoZhWu4ymMgXUprEc7lcKm5POAweP36c1sw7HA7T2qyjO3MqqgCgXq+nxeehA0Eqkko8FySyrq/+9IDtrGVZqYwgQRAqlcoD/G/4QuJvMJXDZDJJhSBM0T8PHkoprT4j8nlpbZMAQFXV7d/jan2SP6W4KsQz4Z2VubPMhjiM5OOs1bZqzK3X65vvGN9og3JMM7HZEyaGgJtvBwCqqt4GU3hC7tQDAMViMa3TGjnnqbit84UBMa153rbtKc+PpwAAAQBJREFUVVUPG1OFQiFOyrajYELc1e/5TdlGlWmaaQESTEe/ux4AwBMKUlEFi2PHt5pr0uK6CSFprQeCICCrnNaeOK3cswAwGo3SGmmSJKVF4aaSwi2WbreblioMCEpF0tqQAAAeULHaux4AjNIKzeOc67r+sCDZpTpTSlVVRcva7pNvvGvcXTjnD7bbLl1FCEGPurSgHh5GtH1lbnsKrFgqCBsAtglP3uZeWKtqtbpByWZtyXYmhNy5fyMr55SsVb4hDUqSUFklF1cln8/flq7iXhCBEDKbzXRdv7PkNoKmulQ6AyROy9xdVtNYPti7Sdf1FK1Jt8029wJ5AFAqldJyn8DTpJcB3xgAAAEASURBVHbXA6lakwkheHjV3Tjvvs6bGySt2GNIe7OeyWTS8pRP0fDEOU+RJsFTN9LSllYoFgBcXl6mpQqP89tdDyEEDVir4+0B09xkMkmLhy8Wiw+Lp1tagzEQdUtExe9yeOecp7i67O3t3bYSb67G8lWcRCETBBESj8hv5jfh97FDoX1tm5Jws5+si10ASkUChDFgjG92n98smFV1+8psEIzDWP1+NSPMWlmq/20AdHOgAFY1WWZLbMH5pmbEX4fD4eZG3rKhOOflcjmtbTNfnG68uyBYT4sq3j7Jzp2CG9207La3EU/3haGYK37LN755hOKMuuV9N+iJz8NIyzDVarVgG5x/Kf80AAABAElEQVSHx2KmAjBTzIgLqQJQPFZ8dz2oJK1npJROJpO0orEkSUor6R0A3Ol8s72kGB2SytFbsEittHbcPgDnFYvFtPC6ZVkPgIxrpz++8P7esefjKpXWmkcIGY/Hty3Vmy9cfRZKhShaM0WsoK6txte9Zpul+qzckQlUiAmye1VjSbLZ7J2RTFviJErpgzMTLeknG12673yVcRnUs41xLUk33lYGQzU3FNh+OBiGkVb6yd3HYFKVLMtpsUGapqWiCtFnWhGpaGxde5ek3KkHzeWKoqTVXKkIpdR13bSoQc45rtR347wwDHdP1Y2CfF5afZqnF09HCEmrZQHAMIxUnpExdnBwCM9RDwAAAQBJREFUkBZt6fv+YDDYXQ9KWs1FCEkrjwYApPiA5XI5xRPG0krQmqJIklQsFreZE8lGixghBLOuw322XhtKxjzQUpl7p60nnFBOCE+eBkYWlj62OLcwVnvnlh3jMDaXWftcSzXnnEuSZNkGEE7pVs+1ganCE2k3X769rCUS1k5Bm98O59yyrLgMS8iSBnyu+BZ8cexyrE1V1SW3B7ZOSCJEA26+zfjDYDCIvboZg8W/t7XavgPLspwiCZfWQoaYOBVVhBDLslLBQJxz0zTTmgOLxWIyEPjBdA8hBH1bN1gPkqQynZ8Iun4Y4kEy29966ZvkU2ialkpcDgpOp3d3L8yrksotw3L4XyoAAAEASURBVCAUBZFzgDQega6cJ/tgkSQpLSdKBC5pbYOurq5SjCFP0T8vrSyvjLHT09NUVAFAu91OBZlxzlOEjLEv6e4iy/L2bPFmV5UoinZxMIo9YTgHRVYa9QbejK+7L78pm3XOvQtWSsXXbumFQ26mXkreP770zsokC2QymeQssaEOm58XUWZMYyfrc9vTrT5F/JOiKEliaZt2Xit4i83T4KrODXfZ7He72kNuK2ZZlmmayVe/Qefq43POGefAgHFeLJYYpQHnLIjifrCkbssJBAHlA9p5VeItx456YGF8210PLI5QT0UVpBq2Mp1OU0kIxTnHhHGb3+CWo0mW5bQghOu6KZ6DYjfPAAABAElEQVSDhfafu5cfxlgQBKkEgHAAAAqcQwp578g2++AthTGWVhpxznmv12u327vv9gghmUwmLVY/xeYCAM/zUhm3lNKjo6Pd9aD0+/1arZZKy6foYJCWYZpz7roupl7bsjzcvn5IkrRLdMhi4iOcg++HhmmWKmXCOaWUw5r7xhMlWSTOWKuTcyBAgRNYqXXycfh2uTMppbjPJjdyMBH8x/kd6+vSXXzfT84SG5r3NpSW/IYtEugvyt4gw9Zesva+Sz6pyVs/YN7YEIdB1uWx4rfnfptMJktevFiSvT3zjcxztMJ8HV3tFTgH3vaASzW59UsGXhiYH568+tV/uleu594/pl9/KPq61wAAAQBJREFUlj1sgiyIRKAc4s625QxJCMGz2lM5+ggZcZbGgQqMsbS2lISQfD6fFtqwLCut7e6SngcvaoSQbDZ7W+9N9tX4mw3aXNfdZZ5PBiQhWE/RjgerOA+h65JnSVq0mSgIruNy2BUy4sDwfT+t8GPMHbPLe4onX0JIpVJJC1Fhh95yVdssnuf1+/3j42NIY++Y4vm2V1dXT548SUVbitugQqGwGSdtL9PpdHMk46osoaL48wPOt70Nc/i+PxqNbgt6WNKw1APjz2EQeiIQ0zW/+6k3MqTjeuln3hckiQJhHAA4Wblk8zNyzoulEgBwDgQIkPVwaoO2uABKjIkXABGWGJyk/kxbjQ8AAAEASURBVBhErr2LLMu2bSMpvjok79VbkubRtVcsgZb4T0KWbxEEQRKv79JdOeeDwQAdt9f+mvgr+crm/0/eHafBpauWMGjiXdxwrVvqaZiR+L77LgYgMB4SoBF3Lrru//w7+vc/E1WfDA3z9Er97T83v3Jc/YVvkid7TACBcEIFRoBs9xI554iBbuuH93oLuLSnMnGRVB2QZrPZnclxthHOuaqqac3MabUVAIxGo2w2u7TdTQ7/pakJbt9uqapqWVYq7ADiy7T6Aw7D9Qmvk/eglG6IbL+XMM5UTaF0zWb9XsI5p5RiRHQqFds9KDp+65xz27bTonAcx0mLaFRVNcWMxMPhMBV3m52xAAABAElEQVS/OkJIWsETkJ7XIACMx+N6vZ6KC87DMPHavm2apizL9+LhbsN5giCgf959lSQvsQej7q//7uv/+7epGxw8fqq0W2HHzH/9af7ZfkSBJq66jcBbqgAlZDKZNht1Pr8RX7v2b65kci6Od4OLL5dNMMkdGtwMtliqM+ZViXf5S7/exkitFZKwKd/2BljECX2Lk/E7zpdvkcvlduTwktduPlRqoZzAzRk8RmzJlh8Oh/v7+3AL1LuNfluqP2PsYQmlKRAOPIgi5w9+PPv7/1hrVcrfeKf8vC0RYnz0mTfRoz/+7uv/7Z8U3n8ufOPF3i/9Aq/nRDbfl2xzO8uy6LqzuR+ASM2XNwAAAQBJREFU80hKxxCgmKaZ1uE0KcbtmaapKEoqy2KK8ZfVanXJbrtE4CX78yr/BTe3zSn6rGNqld2xDed8Op02Go01QxqfPOmamiISv82y/oCXx1ONw3iw+yq2VUzz8vRyiQFAvV5Pi4f3PK/b7d5GU99XUpwC0jpKAQAcx0lrCsBE0JudgVYdvVGWOvN4PH7A2W5rX1M2m90custXggnITYm/3+a01pva5uZOBsAZC4Dbvemf/kd/e/ib/5+QkdjjatQqBXn1R7/329/97/+B/uaCRRHj5O1V6/yX17J0tWolWfC+PTZZOMkDxS7/Sc5ptVnWfskYcA6SKEdhxFZ89pMzwFJl1lC5ilQAAAEASURBVE5ryN8s5f5NBiVgGUI5IUAIB2CLf/OScRnGmGEYq42wVLcl5Ruk2+0uXZJst5VnXFO3uHwmk8F2i/tADBDX+TzFxvS3d8cfFEXBFLsrlSe3/uOEM+Z7/uBX/q/+3/2HWrM8EZjxzef/T9buljTh0ii8/6T58986+vbPqG5I//Tz7//1vzX63T8NAsY5cE4W1d4kmUxm7Q78ft2VA3AgQAQhtQ1qJpPZZVlMLv2dTmfLbhPLbeu4pmlLe+ZtVvzVTgiL8zCSXya706L/JONs5i6wfEXG43EcGDp31+QkpvuTt062T7Irxn9SKgInfJEmafsWWxIEeSwl0MU5R9Av/PJNXoLdAAABAElEQVQv//LSbeLlLd50Iouwu8EYrc5r2cF7bYOwGGpLxYyNp7HtgseT7RZFkaIou2NQznmn01FVNRU+lRCS1okxANDv99OKwnZdN60AEUmSUnFD5JyPRqNtnCOXxkt8efJPDJ64V8uvW1OBMWZZVhAEW+ZLixmmtdgliiLDMNBDZZv6AND5SgwQMXDG0z/4D/5LI3SK3/wy7DeNrDC1nNlMN7tX/Lr/6R997+AbX1LKBUpokvtZi6hu/Erg+rqby2UJpWijjMtsM0UkyzPG0Dy65J8Xd4/tcR4uAEEYcuCSdGPfRW6ixqX6rK0zYwxZxqQFaoV2xare+rDxE0mStJpCLzmB2z/6AgAAAQBJREFUr164ViGWFEXxtjDzuCNxvtVc5HmeqmrrcNhayEjjX5eqahgGYwzThdwkOdaDPM6BM2a9vjz9T/9e+NGnpUZB1HKfutM/+cGHgsH6jcxX/72/Lnz7q9JX3yX/wjNm+9mjw1KlfP0rvzbpj6s/97W4ahs6GufcNE2c55d+unPGWBXGuOO6qqKQ21/3fbSxXZbFZM9RVTU5e9zr8qXvkZRNLmTbDOeVQUEIIaPRKOmilwReiQ5/g3LmnHMGHG6AQsRSyNCjAs7mt4EVD+MYRN6G8zjjruvJigzA44lrmxZbfeTYuvgwDUlhjI1Go1wut54rSk6FYRjuuEWIRRAEz/PWOlLjKcgAAAEASURBVNXdSz9C7Hulp98s26ydt8nqG00rdwxZJDnk6yhcdjMfwZ0ShqGu62klMbnX+4on6GRVY76hVqulUiUAmM1mqdgsCCGFQmHzigiJRogpcHzGpcbxPI8xtssuIjm/YJj5be2fbOTbysTzVLVaZYuEFMkCt+yz519GEQtn5nf/7f/M9Yzqt779OXGOCtX83lPen7ivzvaPn45O3sDV5e//rb/zi3//vyGtCiXztWKLW8w9n2AO7NjqrpgtbKbJ2Xb10QCAAI1CLonkNjeRZOFbFMbTIADhvu8UCoU4zH/J7nHnc8VDgFKqKAqSqewmEbhUjVjbCu58e1/bdrOZ/NrbbiaHIpkBAAABAElEQVQVklVN5iLZ8pL40qW/ESEFQeC6biJTMttwye23A85JPleklMarHmdA6PwDAAAB+paCgZCxkET6d/7c+jv/wHf18vN3Sz/1deFLT/ODi9yPX70a9PbGk+93vviZ6lcimcvlvPY3/pp32g9/02w/f9b94x+Ov/9Z5RvvhgJRGHCy3jS/wAQEKEH0AIvKxRN1vMVKvoIksnmLSDghhIiCCItvOAfggN6pfNGkcFeKigUdBWHAJZFwTjhfGNQ5Z4lBQAnhWFU2D3fiBIACY1h5AgBhxIGDrpulYokACTiLWIQoLYoYdlrGmCAIhADn84eilJAIsTpnAEAhCOYWA8vxJFmiQXhdvQAAAQBJREFUokSBeJ4fRZFumZivcTwe5/N50zJ9z88XCoqiGIYOfJ5PB5sU41SiKAzDQJIk3bTUIArDCIBfX3eKhYIsy5IshywCIIJAfdfDFEiW4050YzgcSpJUq9UEgQKQQi4bem4YhqdfnD5/+W4YhpVKxbUdWZJs23Zd1w18URQPDw8Mww7DCAB8zxMJD4JQ1VTLc/wgUDWNAFElKQhC27YEQSgUCqHOOQdBoJIkyZIo0vid8sUe6e2fONKRm8SIsXiYO46D1ABjLAxDUZAwFtbzPA4MP+B/sUwURZqmWZalaZphGJIkqaqKq6GiKJZl3W0TFATBdd1UAotYStFA2ByIF9dioLVPIGwAAAEASURBVPuKpmm2bW+zEi/tG5I75rgatVptw0q8VuGShlgGg0G5XF7baPfdMVBKN2DZbXZXSdndqS7u6D/+8Y+/+tWv3uvut0lajimMsel0WqlUVls+xltr2391ZcUyDziLeWnjCzcZ2bWqVi+5rQAs2OLYZXPtFRxzz5Eb34QUfvw//C/jwZX4Uz81IH42EmirPDCNj89fP3nUyrX3CjwoR9HY8j/6lf/1m//5vx+plDLOt13cSRD4dy5s6zDemjIAIAjiYvGMf1hbeu33N77KZLKO42azmaT+1TveUtu3tWCMe56XnG3eXri+Gok+sIJZNVX1A18TF55PCzqDcwSRsMSiJqJWidfPAAABAElEQVQfFuUJwaWaUmE6neXzebwbLuEwxxlkYYHlwBGHLFjHRA1jOo4QWqvV419uzJPAeWwsAmAcKCUsJglJrHAehOO4DmMMKf+5fr5oKg6ELD4srMii4et/99cGCms2HhV+/i+I/+rPQFYun8uSY7w6/8mj/Jfsqc4o5wACg0Ck/HlT+ctfH3zvQ4Hx8Acn8LXnwOaepfjeFo+PDjmEUMI5V1SNUhpEjBJcgOZvGPNyE0Iozm9sfrYBY5wBn06n5XJJFERKIAhCQiiLOAceBKHn+oRAGIayohiGFQRhLpdF5C2KEiUgCASAAyEsYoxzURSjKAIKYRj5vk+IoCqK53mmaYZRQpT+6gAAAQBJREFUTtNU3w+CMHBdT8tolFLGuSAKUcSiIJRlybRtwrhtWnv7ewDc8T3OwfO8aq1qmpau65RSz7Y5UCpQz/c/++yz9957T9NU27bPzs7r9fpgOJRlOZ/LZbI5yzQIpaqieK6nyDIS1VSkpmnlctkgCHO5XK/XA0qz+dyf/dmflUqlVr3x2Wefvffy5UzXDdPqdrsMuJLLWJZl285XP/jS9Renx8fHnU7XdhxMHey7fq1W6w+HoiTIqnRxefnuO+92OtctFpmmGfi+JAjNVksQhJPTs9Oz02/+i9+8vrp+8eLl+fl5pVLpD/qGYdRq1dOz03a7pet6udX85PXr0Wi0v7fvuh1b3kEAAAEASURBVHZW01zPk2XZtG3btq3AHw5HgiCKgjAajR4d7neur4+Pjy3LGgwGx8ePz8/OvvTe+65jm4aZy+c+/vjj58/f6XQ6jUbdNIx8Pn98dNDr9RqNxmAwUBQln89PJpNarTYcDjOZTBAEQRDUarVOp7O3t9fv9/P5vCAIk8mk1WqNRqNKpYIZhbKZrB8EiqoGYQjAZFnGjDALqE2iKIq3FpIk4bKF9ihZlqUlG8RauZNCuJdghXZf0Zf2TzuqCoJgmywht23OktXgnHe73e2PBduM89A2uvYx7/vg2zDk2+ucTCbbh2KthUTx/ub9999Pq3dNJpNtjvu8UwghaAK+DcltANn7fgDHAAABAElEQVRLe3ocabHRdnuotxa0YXoC3OZuecnqryiU0larhbVd8DRrX8GNfB+cc/KTy5/8xu8YzWKJR72L62yl9KM//KPBeCxS+qlp9on/3stHgj4q9ozOb/3OT3LZd/+Tf4fPc61setzFCs8YjzhnhLy9L7b2kpcMAFlXYfa2/MINTlFXguDmjoNL7NQNW88NzMUJY8S23Xzubcsn8fe6NlyfCgRNwJSKnueJorh06jzjcTXWePXBguBJShCGjv32eO456QWUING1uPecHEpwpNjCc5zE5jC03WpzFoNJwjmnlMQ0FsyrN68qIUAoAj9gjJPFvoBxxhnvdrv7B/vYhAwpQ84B0me0iAAAAQBJREFUeMQYISSIAkkUI8YZ54yREHgUhq7ropsKXzjACIIgyJIzMwRqAyGO4+SyWc6BCtQPg+lsJoqiIiuarEQsIgCUCIM//fF4POQtjf3sl71f+EZoWSxwdN0y/CBD5FIu/+WvftXyXBLNd9EhY2K74Jay/VC//JPv/Ny/8jNDZhfyeVGSCCHCfF4ipmV6QdTpdJ8+ezqbzgbDgaqo5UpFVaUw8EVRlGXVMq2r6+tGvZEvFILABwBK6PnFRS6bFURRy2RGw8l4YiqKUsjnLy4umq1WGAS9/iCXzXLghmGUy2VN02azmawoF1cdoCRiLJPVXNvVFCWjaUEYZrNZz/Msy5rpet4kkQwAAAEASURBVAhsNtOzmYwgCJIsDYfDaqU6Gg5rtRrnXDcNVVElSZIkyTCMXr//5S9/SWGEytKnn7/yfD+fy1/0e7IoT8eTYrEgyfIf/fF39w8Pu91OqViSFfnz0/P9g31bN8KAvX79RalUpBR83xME2hsMq7Vaf3guioKmZYIgIIRg4KDneb7nfvmDl7PZLIqiT3/yeavdmk4m193O8xfvem7QqDcHo7Eoq8PJbDqeHB4c1Kp1VcvMTD2gYX2/fvrmrFwsnZ1emJalZDTb9R6394SIV6vl7qDvBSyXz9erDVO3ClpBFuSsks1WalfXlwKhGVWb6sZ7Lz/Ia7liJi8CeXL8uFIpO45pOIa1AAABAElEQVQZBDVJkqqlsqpkZCpzzsqZ4kF9jxBSe/rM810AKJfLtu1FYdTv97/y4j1VU64ur148fZLRtMP2HiFEbLWfPX7q+95Bq53VNNMwc1oWBFr7Sk0UJU1RVFnZb7YkSRJFAUOR9vb2cNRgUsk4tSTOyZhZDLfcjDEk+xuNBqU09oNXNRUAisW5gxPuEmN/Jxz+uPbFWdMRDk6n0/39/U2e5ji4wzA0DAP5mx0X4yiKTNPM5/M76sFdTmy33RHq4UbN87w7wxiXsF3ym+TsP51OkydAs3U+2vGXG3AeY8y2bcTju8NZx3Fwo5D8MllJuM/7RefI3b39oijq9/vNZpMsnEF3ZCMwRQAAAQBJREFUeVI0Aewe94S9C8/qib9cRRu3SFz/+Zs1DDOKogUDGncYWCq2hOaTGZViNgi3cZTSVdqH3HCcSlZyuT74JYvYcDSs1+sECJ+TNIQSgv7KBBXOzUcAAH7ECUQQwu/+h/+11Tlza7lOGGiSBvnMtWNGkpBl9NnRsacKwWWPd67quktHs3y18e1f++/cjJRJGNcImpnmVZozhjHHE/i+JEmEEgLoUAOEAF8MOprktBaEEzbTwvK1iGMFbphWNptdUJJzwIMvADggwiGE4vPytzWJubc4JJZEEQuDwPX8fCHP55hr7ivNOFCBsogBIbFVl/C5nw8HDjSmuyhnnEXM833X8+FmWz4AAAEASURBVIulAqVzMMY4R5cwAoRSwiAR2zG3kdEw5JyDQAnnXJgnHGHD8bhUKkmyRAlljPl+4DiOJAiSJBFKozDCpP/ZbAaAsCgKo8jxXA4gy7KqKvpMz2YzUcR836WUGoauaRlVVjMZLYoi3w+QMHBdN4qiiHHXcXKFvB8EkiiahgEAbhhU88Wr4cDUDVkQCQEv9But1uXVZbNa71xfHx0d5fNFz/c0TXYs66o/LObyrz777Nvf+pauT7ud7tHxo9PrS01RpqNxBCSby5GIP3v29I/+2R8fPX7k+35WVqMwVBU1ZKFjO7VS+aJzTUUpk8meXV0267V8Pud6Xl5SxqPpR//jr87dBXyiAAABAElEQVS65y+bh6V/6xc9T6q9eGZ3zgfj6fn5dd81vvbBB5II77/3rms5/V7v4OBgMBw5rjP51d9t5PO94XU5V6v8zX993BlU63Vd1/f29gxjltU0TVbPL6+L5fJsOlUzGSCg6/rx8fGr159Vq5UgCJrN9ng0w62mbujAgRBSqZZHo5GqKq1mazTsHxwcfPrpp34YHRwdfvzxj/f397OaZll2qVS0TEuSpTCMgHNVEkRRKhWLneEg4szQdVVVNVXTMhpn3DQNURSDIKyUy6Hva5lMGIYUiOd6pVLRch3TdVzXbbfbnmUXCwVZnmfSnumzR48ehZ7nB+F0Nmu0GicnJ5IkV6tVHtwbTgAAAQBJREFUkZB8vuB53mg8VlUVCGSz2R/+4IfPnz/L5/OBH9i2HYZh4PuaqjSbTUEQTNt2fd8wDFmScpmsIAiGYWiZjOu5F5eXuUzm6ePHgiAIlAIQy7JNy/T9oNVudTodBDpBGLIoAsYBvTUABEk0DVMUBUoIIUApVVTFDwLOuUAFgQiCQF3PA0JESQTOTcvKaBoBwF1TGEUZTYuiaDgZ16pVgVLg8/0MzgzYnwG4KFIgpHN9ncvlVFUTBEqpwFgkzANdhTAILcvSNFUQKOMMgIiyxKIIxz5dTAsUCKqNOEMPN0EQyMKz9gFrGVucaJLKoo/JNSVJugPn4ZxlWdaGjIIoq+bLVZlAlhcAAAEASURBVMEsr1u6fm+uFedz28fuxzZzztEc/oDMZDFZmlz+dV3P5XKxtrUQahtcxRjr9XqlUimVqA70hF0FLtvXJylnZ2cHBwe747wwDJHKvpMn20Z83xdFcfe2iqKo1+tVq9UkZNwO58Wc0Fs2KAwZJUQQBL44LQIAAGKycF7yNpwHsbGYwWQyEUSxWCwu8T2L1otfx1p3qBtfMsZm01mhWERgEYPJt45QHIC8DQUIeciAdv/x7//63/5vhWYlqBQq2RKPIj+njXzfME2wPVkQn3zwUnt99en0shLCnh0Wnh3+1b/3XzmSoghzNyq0BHIMbWQMnfc4W+QQ4XB2dnp4dARxMnVkcBEOAAABAElEQVRCOHBAaMu5AJRzFoM9znjcboQQPwgoIZSSKGJcFD3PCwIfgCiKgrYLSgiL5mEQEWdRFBFKp9OZLMmCQAkhoijOZrNcLm87di6bYywKwkAQRMsyP/301f5eq9Vs9vv96XTWau8tugcLPI8KgiAIlUp50B/kcrnReDaeTDOZrGnq7zx/9sknn8iyLMkipbRULpmmNRvrM13f22vn89lPP/30/fff0w19Mp21mo3JdPr0ydM//IM//NZf+tbpF180m40gCD///POXL9+/vLzOZjJvvvgiYtHz588/e/Uq5Nxx7Hw+/+TRsWNae3vtH338Y1XTDMOoVqvZXPbNyZtnz5/9YQyRNAAAAQBJREFUwe//wfvvv99sNqbTmWFbZxfnrXa7XqsNBgNJFH3fb9SbjLFKtXJ1eVUrF3P5wvX1tSIruVzGtt3haCjJcuD7YRTtNZuT8aTZbOq2NRoNfcd79PRxp3eliNJBa48QOhhPGq3Wn3/44XvHT0lB+/SHH784fmINRllJGPmG9WbgitB4evTkyTN3pn/40Q+OHz0qFSrnX5wdttvnw97M0CPHUyityaIzmr3uXRXKRdO2j54cHzx99uNPX8mKrFKxysTxaJQrFcB0hMtRs1j58Lvf65Qj6+SiXa8Zjlk2Qy8I97/+wcFf+yuCov36b/3WlRT9/M/+3OPHh6Nx/+mjxzNdbxIfswgAAAEASURBVDQahmXy3mzyO9+vPT1gH5/4E3v2N/6i7wRPX7w7nU0NXecQffDyvYykvDp5o6qaKEnTyUSggqIozUZjMh05rtNoNDgDzomh68VSkTHe7/eBc1GSgiCoVMr1Wt20ZoVCwbbtky/OtEzWcZxms6nJchSx4XAwHA4PDg4LhQKlxA+9IPDL5YqqKLZliaLo+/5kMkEiv1wuIzfhBwEHLoqSpqkCENM0M1pmMByUKxU8RcAPfEop8hcRY77nobkQ50lFkcMwEkWB0tjawMIwIgCCKACA580z2sRlOGMiwSAPYAQRGqNAgHEqUIbWdwKcA8XUNpxTgQKA7/ucMVlWCIm903CslaIFAAABAElEQVRwz43vMYU8J65JwkTG5ptNvHA4GuWyWVW74eXPOSeAG9051x/vVON5eX7H+aaLxxLHmsBbGEPj2rzdVC4cjZL3jSsZhmEYhrsnjkGKAZn+3XFeGIbD4bDVat3N50VRZNv2HKjuhvM455Zl7R7VgXyerutbHtB5pzaMnLhv1uXkW0+azK6uOvt77fhggLU01ZKddC16iPWThaxqQFkLIpPlOedBEGAqnZiJRHi6ZGRcrUO8iCaf1zRNTNy1em7MErsJCYQUu3vzhHFzOBwmk5jgdopF0fzca/J2NC4miORn4JzTxawxGo1L5aKAUxIihHk1gBAKCyCDrjNxhgcA4CQev3FYoQAAAQBJREFU2HNdjDE+hzgLpyDOCSF0YeRiAES4EX7BGY9deThwgdIwiightmn5nl+tVcMwEiTB933k5IIgwNNyNE3zfJ8SwjhnUaSqmuPYmUwGz5fM5XKGaeay2clonNEynPMwDPOlwng8LpVK4/FY1TQCYBhmvV4fj8fVanU8GqmKIonSdDZtNpvD4RDjKA3DaLfbV1dXtWa90+k4jtNqtEaD4eMnT05PT/f29oaDAQfIF/KT6ezo8OCL09PDw8MvTk8VWa7utfpnV+E//H//z9/7DUcR8++9CHz+la98+Yteh2bVo/398euzYbf30fnrmsdoEImSeJzPtt9/+Rf/5r9rRW692PfV9osAAAEASURBVLy4umSUBGEoiaKmap/85Cf1eg3XLcMwHMetVioXlxdBEOTzBc91S+VSt9s9Onqk67OvfOUrf/K97wVBsNfe63Y7xWLJc11c9saTyct33rm4uHj+/PnHn3xiGMbRo6PRcPjOuy8+/Oij/YP9zz57JVD6cz/10wDw5s0bqsjjbn9s6s9evjx5/ebl83f06eSLsy90Xf/ggw9USe6NR6qqCAzcKKCUOo6jZTKTyaTRaPi+f3xwYM0Mn7Dp2CQCL5byrm1LgtRoNPr9PickiMJio2acd3XfLZdKnden+VpZ5rSx1/rJF6/fe+/lsNd/fHj06gc/IgLNlYqX15fPK63cfvMRzq/rAAABAElEQVQ7v/f7tus8P3jULlQsYyaIwqs3r7PZfBRyAwLTMn/q5XuS6b159fnAscq1Wk6Q+o6pm7Yky6IoHL3zhBnW0ePjVx99TBgNjGGhVZ85fqVcdWy7e3IWhp5k+mJGDQirNhualgHP73euQ8vdOz787PIsr2Zs3bRd+7jWKIiK4VieTCtyxnIcm/C6qHZev8o32kFWG3IrNzTd6VSWJN02M5JSLTcgA/7VZJaRqSYa05lrO/lQypQL08AJWZRjlPpBJIvZkJsClxn4rsdzqiCK3HKkKPQkQigNw0CWRBpx8MKapAicmYJckZTAc0PGwiAwQ5fJQoVJZS3vsMgjUbZcIj6T70ScZAAAAQBJREFUIuCKeGYPKlwLCrlW61igQtF1M9X60S/9wpBEr83p73zve1968fJf/ivfpsDzuUIYhdlMxrFN5zc/ZP2Z9LRq/pN/Ju41S//xL3GJyrIUhqHjOJyHxWJREkTLdikVCCGB76NHv6aqhC4450TgBXLkjDFRFFjEOee4zZtPsATQfM4ZJ0AJIYZh5HKZxQQ038OQOb8OhMz3M/OpPt4eLnZO8caMc2bbTjaTWcxkEZ+rfDu1MzbHLmR+pxgXweLzXG231202GnOEB8koazIvAwse+u1vBPdvsHDgxLbxXC+MosXS//Ymi2pzSpM75KV1hBASr3cEOSpRFOKF6e1CM3dsWA3CJeMAAAEASURBVGiAGzgPFpWJFxrHcYIgQAPjTZx3oyZxfZKLWvwZG9f3/SAINE17MCBJLq8YZpEKYRGGoaIoW+E8dAncPbuH7/tRFKWSGpsx5jjOUm6ChwliICRdtyzPb/pgQYKIYoyziBFCBIFyzsMoJFsc0XYbzru8vKxWq1ix1TcVP3gcphcjqqXCfOGGhSXxv57nybIchiH28jAMZVkOggDPXSGESJKEMd6O40iSFIYhvj7MBoeBHdi/s9ksGvcnk4ksy5qmYRzDaDSqVqvD4VBVVUVRJpNJs9m8vLw8ODgYj8ecc1VVe73e48ePe71eq9U6OzsTBOFg/6jT7ezt7V1fX5dKBYxhAb2vAAABAElEQVSBarfbb968efbs2fn5ebPZRDP00yfPrq877b32xflFuVK2TMvz/cOD/W63VywVZ7OJ53n7+/u9Xn9/b//Vq88Pjw5nM933vL299g9++MP333/5ySefvPPOO+PpjApio147Ozt/9vjJhx9+mM1mS7WaPpvu7e91O11Jlg3D0DStWa1dXl09efz4n//Zn733wXuDwdCyrHq9fnp6+u67737++et3332n2+3Ksnx8fPzmzZtCofCjTz5hjD19+qTf77/37ovvfOc7R0dHiqL0+/29vT3DMOr1+snJyde+9lXHcc7OLlqt5nA4bDabs5kuCLTdbg8Gg1KpaJt2RlV9PwACall+SgAAAQBJREFUxUp5NByKknRycrK/vz+ZTgVKS6WS53myJI+mk1w+F0UMza6GoSuKWi6XBsPhbDabTqf5UiWKIkM3ZJHs7+0XiwU/CM7Pzuv1ehgGhEOjXkdbj6qq19ed/f29H5xeKFHU/Z9+48zvF2TZzGbFZqukqC6Pvv6zP30+GnytuPed/+Mf/cnZj8qZshF6bTFba5R/+t/8JVvLvHx2bM8sNww+P30ThdHx8TGh9Pr6OqNpuVxuNptJkuR6nqoq2Uz2o48++vKXvwwAzWbj+3/+5xkt02w2TdN8ffL68ePHmIhLn+mT2bRSKn/20Y8KijbybCrQL33wgajIb05PDw8OTt6ciDbZSikAAAEASURBVLIsBgxcn8oSdcNiuQQAJ9NuLgirgnp9eTUJvGau9PzFix53tWz+x9//6KDaOGhWrz4/ESUpkuh4OCKUtlqtvafPP788Vwu54WB4fPxIzmVUTj/69Ed7HvEm40K7Eea0yWR6+icfar6nuJEpQ3B+/ehgf9QfuMOpoal64OZkVeRRU1YVTk3KfddnlPgsYgJpUO1zd5xXMzJQCCNZEDOMezwyIFRyGcKoFfpFWWOeVaEyBCHIMnEj2WduRux7jizLqqo5nl03IqJIvkTcnFa0dBKyEKjMOQcINIlpCheFnBmKftQL7VARZCLkqEr9iEnCKHKUcoGEjDhBVs2KhEaa5Nn0ZrEEAAABAElEQVROpVjyPC9wQ0EAJ7Ka7ceVkXNidVpU5gQyRJGBhjJVy1W/d8ULeTa2uUYURlQiRj5jGYkQEopUkWVZlCJNVqngWTb3Q0VWmEjytbrV6Vm2V5DVSKRZWYhsmweRJFEz9LVcsxvOWo16TcvrvSG4Lo9CYIxzrkqaHQb5RlXM5SJRVFVFH04uf/inBgUekurzJ8//jX9NqtbZdBwc1P75+evPRv2TN2f/0rf+0i98++eERIhJNNUv/ov/vfrtr/HrTvDJufiLf0H7q9+QkGMiwDh/O3PzOQ7ijPt+EEVhNpuFBOWzYclY/XJBmxMO3LLsXDaTpI7u0HjLXRhjnutLkiTMAW0lPQAAAQBJREFUrUlr4rVvC+Je1YbG0M1mrlVD0CrpBQsgseQJk9SwPTzq9/sY07AjxYPMGef8vkmv1gpuCZA6fRg+i/nFMAwR1aRyDl6/32+1WiQ+9jjeLiRoFUIIQd+1TCYTsylxeeQk8KnwLeLhm1hRtDQrioJWEs/zGIDr+bIsq4rimHYmo3mex4FLqmJZZj6fn0xmpWLRdhzCQZEk1/UKhfx0NsvncqZlceD5YnE8GpdKJX06FQVRliXLcUqVcrfTbbfb+mSiKCohYBhmrVYbjUb1Rm0w6ANAsVicTY16vdbv9wuFouM6AFDIF3q93t5e+/q602w2prOZLMmSLE3Gk3a7PRqNKo/rj/cAAAEASURBVJVyr9+XJTmXy45ms3q9fn19fbDX6nY6aJkd9EdHR4eXl1cHB/u9Xk+WFU1TbdupVivD4ahSrfR6fUpIvV4fDoeVSuXy6qpeq/pBEPh+uVy+vLp6fHw8GAw0jL7xg2K5NJlOK9XKYDDMKIosyaZpNpvNbrfbbDZ6vT5iPtM0G41Gr99v1OuD4SBXzHPOdV1vN1uz6axcKo1GY0EU8rl5gM9oNCqWioP+ABnQyWTSPtgfDIfValWfThVJBuC27dTqNbQOGKapaKqmaqZlFnP5yXiSyWaCIBCQFtKN6XTaaDYkUQqiIAhDSZJdx1FkJQh8RVYsy5ZlSVZkzrmsqkHgR1FgmwzHAAABAElEQVREOLdtK5vNRVEkiqJpmpqmuY7veR7n3LTterNhWZbjOOVCMYoi5FF00yCEOI6jqqppWkdHh4HnCZRSSofDgSCriiIDwHg8pJQ4rttut8OAOY4jCEIul6OU/v+8vWmMZVt2JrT2cOY73xtzZkaOb6hXr15VuQbb5cLlLrcMxqYN7hZuRJvGSAwCBFKDWgyCFj9oAUIg0ZYagWiw6JYRPxowZZu2bLpcdrnKNdcb6r2snCIzY4648z3j3nvxY9178mZEZmRE3C2WnvLde+OcdfbZZ5+91vrWdHx8PInjzvLK7s6u53mVSmU8HgshlFb90XA8nhRFPuj2P/WpTz16+NAPfaLy5AAAAQBJREFUg2q99uTJk2az6ftBHMf9fo/A7MPDo83Na2qcrG6s7x0dxkmilFpZWRmNhhsra3fv3t3c3CyMjpOk2z1O06zd6SRJEgRBlqa1Wu3gYL/b7X3uc5999GgrDANPummSaKPJOdjr9dfX1+uNeve4K6QcDAeHx8fr62sHB4e1WjudDFc6zVs3b04mKSnlx/2ekCLP8+5xt9PpNJoNQNg/PMjyHI0ZDgbtdtv3/CzPAKFaq6ZJurm5+eDhg3arfdw97iwvj0ejra2tVrtNxah0UUjAK1eu7O3tZplaW1tfWuo83tpa31h79913G436MEuHWwcf/R//V5DE2eoKrK1eX7vx9I9SZIMAAAEASURBVMnW2++8o6retz/68Jd+9ot/+pt/78HBEcaxW/Halai9tBI06l4lylQReoEWEKV4mI8Cw3ihwXWanXbcH+7v7e2P+yud5XZYGQ2GhzoJhBMptnbt6s7R/mGvd/PW9Xat1t078IUMKtWdrSeDw6PsuNccZceiSCSA0k1wjeBFxR0V6XIhlSf0cU8y7klnbAquMPArABAzs2RMwXDkYIGimkEbxHgydAJfSDlK44YRKRbAOQIMJbgKAxAsz7pVpzBsXURYZClHOUzQMS4yVzpuARma2Oeh7/tMCkei4K7r60KJ0MeqPwG1lAlWC3Wa6YpX7+UxR2hUvSx3ODhSytBP48TOgmudAAABAElEQVThQhTGkY5GbQrNfc+gKVReb1QF41qbkUrXb9wabO8FXKajUa1Wz9JkXHNMd+Qg81qtrDeIatVkPOLCi8KQp0kOCjSKTHHPAZBZ3Y+qtWz3QHKpCwVV34kC1Ru7mTGROxwPued5nhd6fhFIrZUYJVor43tc5S4wCCPmuHmaOJl2At/4ngyCtEhFGMByjd/by5uB30tZNYhBM9/xB6O4P/CbddFsyTDKPNfvdEwSA+NaKcG4I2WqFCtyHY9F5KMGo7UZx47jgBQZoteoYG6UADfw9SRlk8TkOfMCGUXoB7BSZ54LecGMwOXa4Ld+J/nTjz66+23pu4Nk8qV//V+N/uovrnen+AAAAQBJREFUoS81w9/6X3/7o/sPgbPf+Jd//Y3bNwRDzgUpH/t/+if8f/6O/zOfTf7o6+HGqvjrfyF47QpIJl+uvlEly7mg24WI3FynKwlfgg8ijsdjyt5jc41b5lGA83M7Ojp6WbWHl9HpYj1EaZqmaUplic7P7YVEAUhlRM0JiGTeA/sMAX3JUOM4NsaQmFhwVCRxFu97RjXjCHO5xKhOqN2UEVGv19nu7m6z2SRtoNfrBUGglErTdGlpqdfrNZvNo6MjpVSn04njuFKpdLtd0vnyPG82m5Q2PBwOhRCe541Go1arRToNNSeoVquj0aharfb7fcd1C2UAsVat9np9P/BHo5Ef+M10ya8AAAEASURBVJ7vpWkaRdF4NAnDKE0T1BiFQZ5ngR9M4th1HKW1kMJxnTwvPM/NsrwoijAItDFCyjiJozDSeTH16zEGjKVJgohxEkdR5LoOMpGmqVbaaFWpVR0pkQBmAC74cDAMQl8KUSiVTtKiKIIwyPI8yzIqpaZBVytVrVWcpPfu3a83GnmWeb6vCqW18jyPkp5UUXCAMAwBUWmTZ7kxhnFuGPR63X6vv7axobTe29tHY5ZXlqSUaZIW2lCt5sGgLwQPPJ8zriV7/73333zzjUFvgIjj0ejmzZs/+uBHt2/dqjca7Waj3+8rpbIs6/WHS8vLk3gipWCAy8vLaHA4HFVrNc7Y0fEQdzGbAAABAElEQVTh8tLSaDze2dmJk4Rzfm3z2tHBUb1RV0p5rtvr9VdXVvqDAek0AMygcT2v3+9ro1vVOrUSdzx3Z38/DALXcw/29q9dvTaJJ2EQUn6xMvqwe6zy/M6t2093d/wg6Ha7rWYTDDDGB4NBfzDwfK/Vag8Gg2azdffu3SiM3njzjXfffS+OJ8srKxR5tr29XY0q1WplNBoXRfHmm2/2+/0PfvRBu7Psuu7+/n4SjzY3rzmOFFzUm0s//OEPms0W53h9c/Pu3Y+uXLm6t7sbRVG90ZhM4v5ggIhhELiOY7RutdvxZNTv919/7bXxZOI4LpWZ3d/bv33n9pPHj6WUUSWs1+ujyDY7mgAAAQBJREFU0WgcJ7R6ozBSeT4eTxrNRjOK0jxLsiyoVB492rp1+9bu7u5ys8kZ63SWDrvHT3e2O+12EASDfl9p5bluGIYU5KuU2tnda7Xa9XqdAY6GI8dxatUqIqIxUsrBYFir1+JJzDhzfY/EyXA4AaM3r25Uq9V4Ej9+/NgPAs/3+v1+VKlwzpc6HcZ5keee47qukyTJaDzOlWq32/1eL8vzarWiCtVqtw8O9hGh025LLoIguHfv3vLysu/7k3jCGJtMxu12WylV5EWvP1hfW0M0ruvs7e81m60izg5Ho//nb/9XraP+oNlc//KXYKJH+7uff/tt8c6tb/7+/zt47/3J9vbTmtL5OzUAAAEASURBVFefJK3GUl6LOju9N3sqABZPhg1HjAbDSLojhr70kiRm1QBcyZNCcVBG+Y6LSnMpNWcBd4okVQ5zOE/i2BNOwB0tmOu4HIwRzAVmNNZWOtKAqgfcGJVmLnCe6/10HDIphBCSa4Z+FDrCZ4UWDgOANJ60b9waHR06wJx2xICrUSqCMOn3657fV7EEIVt16fk810k84NpILrI8xUzFDMGRnjLS95jvFIhujnGWNjZW0p2DrD+qfuKW0AwYuK6nBYPIN54UXMpGNR9NgtVOkRZYjViSmUYISeG0msiENLoYT7jjMClYFEF/Ar6HFODNGbhSMQSDTGnp+oDAhEBXGE8I4CZqPGSOAAABAElEQVQrxsOxj8ytROAKk6TABVQ97ng6y0Dl4DiAnBtkrgNRgJxzwXE00b0BSMEqPnN9RpEGnEkDe7t7navrFJ6FoQe5ZowBY6iVKZT0PBRSMy0KzbRBwVE606AFQDDIGMsZCsY4gNGGSSE0oEEjQRsjhAQDTOBz7rGZR0QxI4Bxg5ox5IxrZIwpQJ3lmVK1qIIMNBgGyEAAAmeGITLGNaAwPGEodg76/9lv3b373Tb4xcQs/dZ/2tm8rn1kud56uvs//dbfv7qx8c/9s7+83GlyhtNALYM//k/+m3qw7oe19OvfLzrR2t/+10TNZ+IslYgqli0eGl4KYwreWDycCREHgwFht3QcmgAAAQBJREFUEGzWJrUMubmQnkcldhuNxoXS2s6o+Ejoz+IzRspGmTR5Aj48oeedccs07VprK3oehbctXvDfzBr9UcGHi55Odz2v5yVJUqlUzuW3JUVtcQ9pnhd5oVzfe++D9398b+vg4GAwGLz++utZliml1tfXqVpMEATvf/ijRqs5Hk+E4Hme12q1brcrGV9qd27dvnV8dMwYy7JsOBwuLy9tbT2u1+uMwcHBoRDi+vXrW0+ftJc6cRx7njccDIejURSFk8nEFfLO9ZtRFN17+ICKxJJf7/GTx4EfGGNu3ry5s7OTqmI4GjUadckFar2zvbO+se46ztPt7Zs3bo7j9P6DB5yLjbvlgCQAAAEASURBVCvrjBkAppSaTCau61Srtf39vV6/v7a2JoTo9/vValUp1ag3kvF4Y33j0dZWvdne3z+oVCKDxnFEEAS9XrfVXE6S5M6dW99774cowBPSl+6n33nnow8/klKO4+Tg6HhtdY1zNplM+oOB4EIKqEZRZ6kTeP7a8sre0eEP3n/3Y2+91ev2sizV2tRrzckk7na7fuB02m0E6Ha7juM0m02ttcOFI2Wapl7gb+/uZlnaarZ8x213OlqpR1tbjXo9z/M8z13PU0Xhui4hYc1mczgabu/v3bx5UwhRpNl4OGq1244je8NB4HiB43FHhFF0cHDg+/7Ozo6U8vbt291ul2C8dqf1CT8AAAABAElEQVSdJmmaplLK9fX1R48etVotx3EePXokhGi321rrVqs1GAy0KpY7rWazubX1WAOnqkL7+/uIuLGxMRgMKEyw2WyqPF3qdA4O9peXlwkp9Dxve3efcWGMaTQbWZodHh52Op3Ak81Gg3Pe6/WWl1cYgHRkHMdZmhk0ZJkIIY6Pj1zXazWbjPODgwPaOjnnDuNKKWAMGFNGB0EwHo9NUbRbbWCQZpkyhjLqkyRxXI8zxoymGH9ESJUSXHDOtNLScZQqjDaCcSE41SnljCmtOBdSCGBgZlVJOecGdZLEZIPBDIB/mbwpofdZOMGzRjpYBiAikrE+X553/sSyljXn3CAYw/7Pkf7YBgAAAQBJREFUv/ZvQ3fv+ypTt14DDTeqjZ/87DsjY/7B3//feGB4ljtB03edm2+/7gv5uYHZ6KUK0JlkquZwg4VSOhLMZUy6rDtG4Epy3/ELn2OhfMcfHuwnUi01OkV/CPWQGRDaOFFFZ0WqigAEIvCluhlNvNvXtNKiEhk0EIbZaOwGER4eoVa83ciKVAppAJkU/soKd/3J3iEAeI7LmlWTZWKliVwaA4Izwxm4XO8f8DhBA87qUsGF5II5qAcjoQAdkeeZLpTruC4lcBjFogoDhq5ELhiTZjDmKy0WuCAEdwQ6DjLBGXBghgFXiBwMoABmAHRRFHqakXbCf/LCjfsMcVUUBcUOvo0HHEwAAAEASURBVPDEcjGcPv2FYA/Fcpy44suStOb5n/iT1vrw8PBEdv8lyBhTFAUVmzg7lY3u4vC/+4fjP//mwf1HFV5Z++//Zu2114w0DrKnuwe/+Xf/h+V251/45391ZbXDGGpgDIEh3v0v/96NL/7c3f/677Sr6+Kt9c7f+DXBBXA4Q9ZprYuisFV2nlwxYRgu3mPdGEO1aV5YE+qiRDE8F9I2XrZUKPam0WgsrlGNRiMppZWMByijrhceFVXGWLw8MJkQ5AhdfFRKqe3t7c3Nzef8sKc3FNLzBoNBrVZbvFyF0vq41/vowcPvv/fB7c07g+HA8zzf89MsPTw4/PjH39o/2G+1WpPBXZxaAAABAElEQVTJpHd8HHhe4Ae1Wm2c5f1+zxgjpNRa1xuNQb+/sb6W58XW1la1WiVJXxTqyfbTosgZ440o2lhbi+M4y3PCS5I0MQKyLAv9wPf9wXBM9ZakFAaNKtTy0pIj3L293SzPr6yuVioVR8q7D+73R+N6vV6v17IkzbPs9p07ruvcu3ePM16t1ZhgWqudnR2l1PXNzThO8izPktRxHM/zOEC1WlFKOdIBgCzPO512kmWD4VBrMxj0m/V6GIa1Wk2rwvd8IcSDhw9XV9ek4JILx3doj1NKGYOu4wgps1zt7Oysr6/v7+9neSalrNfqaysr3e7x3Xv3V1ZXpBSNeiNNU2NQay2lpwKx+AAAAQBJREFUA8y0mq39/f2HDx4sLy9XKxUEaDabaNDzvf6gb1C7jiuljPxASsk5y/LckY5SCtGMJnEQ+AZNJYpGozEATCYT1DoMI8dxPN/jQlCwcJbnhCqFYQCIx91evVZVuphmVOC0rqOUEhiZfSile7B/OFVcwLBpZY3C930hODDKv0JEA0xQHmVRFIhGcKGN0Vo7Urqui4CCseNpXZVngoqCnSknwxjknAnGywyvuaIchqKVcbbsi6KQQlBmGQUXU4IFZ2Wo9bOKJTgrojFL/cBZmDEDgDRNkjhuNpuMzILZJcoXjT1XeHZWao6VqWd0AlBkNwCUpZJLYx2eT385DyHiwcHB8uuvStkAAAEASURBVPLyvAX8Mj6IaNAYZL/z6/+O2nn4YZqPr93oT8YBZ9nTPRN6cbMqHCY4b4jodqvjX2196XOfXeO+4ILVq1AgEwxcMYknd9/7IOVY77Q3V9YrgWcAQGvheUxKVRSGATiO43vMEYUxnAlEw6UEo3noG60ZcnSFcF3DOWXFIGPIkAGAQcY4ZS8joECYxHEQBpxxNnvWtMfRIywfAMWiM6AmApzhNFUQGFDsPOXn5VlOxcwohwcZ4wanq0fMHuIzbXq6wBCATYvNAQM2bYKRFQVqKmR6Ao04PfMv+xPRcDj0fX8Rh9H8JXZ3d6lw1wkpcMYAXkjkFDpPUdKzieCNF/ZkOjFo/lF0AAABAElEQVQq+lqM0oP/4L/tPt0av/cw+i/+rY/9pV8yHCWywWj8ld/9veXO0k98+p1mq8EY0wzAIE/yyTfv7f3+18zXv9X42Dv1f+OX5TubAqgYyFmjsojnUay57/uL+23JA0Au4AXHRqFdrVbrQkvrZUuFYrutdFugGqKLt8Iiv20cx+12+xIzX+pLQJn+eZ5l2SXwvBNmHol7W61TSxfwq/U8goKt4HlFoY+Pe1mRNeo1xiRjLE3TolCcM8/1wjBQWgEwKYXSCtEIKQExztRoNEREwXg1ishvjQaTNHYcV2stOJeOwznLsiLLMwbMD1zXcxhjRaGAAclmzqhnDgNEg6iUch1HIg/taAAAAQBJREFUCImAh4eH9Xrd9TwGYNBI4AggOEvSIp3GojpcPqf400slOKdMKG2MdCT1ME6zNPADRnfIOBqD1BOGMUBQ0/rtwKneF06tn1niN4UUMFJOjo6OAj+IouhZjQmc9pyZNjlH5IwxBAZAKVxl9tNMz0A2Czo2xnA2TdeiXzgnnQRKWcM5M7O80Vme6fR3pOUIYBB3trfX1zeeUxEYVRVCM2uDQ3P+/HZ5Mo9JKxPHSaUSTXsZzW0Tp+GEeczp9OpijCVJQomll1mdc2S3os1Fa9a8jBBxNBoVRdFutxdkRaMqM9ZfeSQAIDMG+ff+xn++fff9e0+f9nwxaDd4rZ3nGbjycAjJENAAAAEASURBVNjvRLWW9Kt+VBF85dNv/upv/DoIzjmnh20YiLksO9Jrp1rO7HmjMcbop0+ebm5u2trjKAnOCjeSoFZMdlqoVsQe+VusBIqBvcpEZUGHBfkQQJVlWb1eP8+ocmUO/8ff7v/un3Q/fPigpv/y7/wvXmeVc5YXhdGaC8Gp9BqAQZ0xcBLz7l//j0W/e3NpM/u1n2/+8ucQQMK0gvQZo0qSZDgcnr8e/hmEiJTotjieh4j9fr9SqSxefY0EnBVcEACSJEmSpF6vL55bcHx8TGHWC/KhSDgSYZdY8KSN0TyT6EHEc6Zynh4GDYAqYJQV1K3sWjs7O1euXHlxT+4Th9LNzCNWOcS9AAABAElEQVQQlyMpeRR6y1GLTRUbqEQ+4LN8JQ88QjNcZ2pDIIDvuq1qUOpAMz8UopGe784QFwAAzxUAPsy0YwR0PBfghVnSAJ4zy7tmrUYdEZ1pHY1ZXykGQeAEwezdY3MjZQDIQHBAAI6I4DDBgBmGwFn3cFyPKsBmbannnxYD57my+/MfcL6pEWeACO12kwFjfA77mRY04rMMeFayEc8X9OdT9Y6RnlcUxf7+ftnnCggwKid1TgZzUX4kdW8GNk2vjgJ4o9GkvH8A5FM9c0bPaqlMB4zPF0yCWUUTAGAc+oNupRrO8KwXK3AnPp8w4suvk8lk8QgJYmurETAA5Hkex3FZ2fzS1tT6tgAAAQBJREFUhIi+7y+uxZZ0xus8b/VN3zjgwgB/88rSsDcSTtgdBrIyjjU4bDIe1LlcrjU3NzdZLYDA/Sd/7a9w15lvyy5n+BYry0BMlxx7ttoYY0JevXrVyt0RKLu4XCGiSVBKLa7nMcYcx8nzfPGobQCI47isgL849ft9K/2mbekHAHChdEgGWPuFn8Nv3B1dGV7fO/yz3/gPP/e//2bg+VIK4cput+/5HuccGRST+PArX336u3/kbm2HS8v4a19q/sJnRLmdvmrsrusu/kYT4avaCl+IrGSPEpE3+aLlxl5IpEtZWRIEOS3OBwColOBFVUYDiMDGSf7RRz9+8603Q09KBpxz6tW3f+EAAAEASURBVFh9fiKwfxQnjx4+WlldazcbDBAQHOkqpQSXcI6wjVcS9QJ9tme9jBHnPM/zxd3hQMAAFQWav9bz1z3RwJGVB835ycjrgoDUH+n0yGdHP//7qaMAnlVfPLEKX6JwnOL2vHJC6Ojy8jJiWTL7NJuXEZv7dzq0yWRCsQhz4ykVvhfe1IsHzBgwxsh1ePKS7Pmvpz+evAZpaWXk1nMTTR5M+m9uqM+mAp9pgScVu5etwBM67gv/RGQln4vYUt6xFUnMObfCB+ZcbFYoz/PzHEaTzI0GLt7+K3/5e3u9SGrfcYLD3gNReLXozsc+VWtGshqJoIbV6hc+98lqVBHsmQVSfpjIuyEsAAABAElEQVRfb9P1O38UY4DY7XZbrZaV5zhfIXJx8n2/rE6wCCGiUsr3/cUtZwBwHMeWeWORzKwj7eJEFSvOCVhyDv615eSvfjn6u0euwd5H97757/5HP/U3/33v+kqOzI18Mxrt/vG3+9/64OCrfzw47i6tr7m3NqIvfib4xZ8ELhg/1+Mg2/Wicv0MbsxGEY2Sm61dwpZjGhE9z7P1Gk4mE8aYFQD7cvsDObnGo8nO3v5xv//zX/oZ4IxaLF6MD2KhUBXadb2vfuObP/szP92oRgJYURRCCiuPkDE2Go2iKDpXf9sSnFz8qlTk0MqatrVuiNXiZnpJu7vbV69eXfwFYYzVajVbeZ737AAAAQBJREFUgoqifReHu4nSLIkqBMI9d5+vXCeno2qs+D6Ier1etVq18igX7843TxfdAl5IjE0zfqxUoASAMwCJ08+Rc4mITj38zL/5r9T+4e8d/Pl3Vhjb1Gheuwo31vcfPf3ir/wzQbvTbFQcdyHE8XKJZqeJXmpbwhgArAScAQBjzHVdyoOzws0ixGtLOaN6RpdwY50mcmieVydmggM2vvyFdGvf/bMfqiTrfe37X/nKXwquXQ2uXkmH/b0f323Xq7ziLdc6rU9/wlnuXP2LPxt98dNaSnFu9Yji86jm/0L3NiMhBLU0XJyVRQlrJWoFABAxTdMkSQhbWpBszTkASCkvxQ2ZhlTOhBkAAAEASURBVF6vJ8OAGkUCgNb6olgYAyYZVMOwy3me51/5yu/95Gc+F4X+yupSoY2QAOeQp2cTOWNhHs87g8h2WVx8XiKe9wwq+9suTkIIKuyyOCvG2Nra2vktqrPnZDQacc4pXnvxgVmUB4ScXW5Uz2N4fHv76fr6OrWlWpCs5HMRUf6UlQVGERiL8yGz+HlwdyFu3W73ok46xhhrVm7/S7+68eWfPP7GD9RRr7a5/uCDH338rbfW79xgXHBc9E6nWTsLE0kXK44IoiAIrDAkPM+KOwyez6RenMbjsZWBIWLZrH1BUkpRmv+5rgsggGmB6//iL+4d9FddNzjab0xyNRr2f/zRPmSFsO8EAAABAElEQVTLN67dunozkVysLV35hS+Gt654y0scuDTGcGRwLvWI9lJbflsAoBwFK6wsuoDJpLSiV/m+bwtJoQJkVlYpKev1ev2cx0/3JQREnMTJeDi8c+Oa4FwblFKmaXairSg1C5nFzU85sKmEYgAAnKGG8Xg8yTJHimE83j/cv7/16FPvvO177uL6EmOMLLfz6nm2thKLuxv1clg84JQxZkseUK7AiTC4s+nsZ3m5ENGXkS0wDwDG4/HlCjmePAVhaWlZcDELAlyIqBHzolxmyJmU0orC4TiOrTD5LMvSNG21Wlbex4s+vjIcwpFcbl4LN69yBAXw2V/8C3maCM4ZA8YXBRIsPpnEtgAAAQBJREFUAl3Ur8WWqpemqa3ty6JmRgUgbVm8Fv2/3W538TwMuKCzRTIABi5w7fur/95fG37vPf+HdzmaydODcHv3SiVwhedsXtn8lS+F62vgCE6eWgYA7EIvA6UxWYllJFocz6PNisriWBkSFY5dnA/nPMuy8XhsRTM+3e3pckS+8osu+CRJnmzvSM9/tLMzGk8G49H7d+8hou84lSjSwDzPFYCk8GmEPMsGw+Hx8bGQDmOsWqlIKWrVqutSoD6bZElhTBhEtzavra50/uAP30+STHLxmU99IvA9WHiv2Nvbu3bt2v+veh57UUuuy/HhnFOMy+IDQ0SLbhRACILIaKS4wVeO7gZEFJUAAAEASURBVOzxR1FkMQpkb2/vxo0bC/Ihe/E8eZrnIQSTponnuReKZHwZ2bJljTGEH1hRspVS3W7Xinva8zxbdv/p+MhznwkUfsqAIQdptEEcjEahDQ0bABqNhi1BRZ14rLACAOrxY4WVlDJNUyv4+ng8tqicHR8fW1HOaFNdnA8pedTI+EIncobgycbnP4U/+WltoJkXK73+3oNH1eVO69Z1A0zMQvHwZBz3uUYlhLBlvM1X6FiESvFqBTljjB0eHgZBYOU2qQyCFa+gLZOG8rQGgwFV9TrnKVmWPXz09N6jxwWD3f0DJtzd/W69Ghmlur3em2++eXV9zZXC933f95Ph4MNHjwzz+m9bAAABAElEQVSyrYdbrU4ny/I4ib3A03nxE5/85PrqMgN8cP/xcJwFjtes1RvV2qc/+c7dhw//4E/++P7Ok1/7lV9xpaBCFJdGQUjunGvSbQEbRFYKTBCeZyumgWrMLM4HAIA9SxY+1+Fnvt6j0QgsGdmc8/OjjK+k4XBoJdgCAA4O9ut1OwmDjUbDlkHS7XajKLISPiylfFlGZJnYf05WWZZlWWblNsmteQkBM8uVn2YlIuPAzMrysi2M6vj42JbLj+LzbEW4lz0hFyRCiz3PsyLdq9WqxXu8hEb1QrIYJUJ5GBfdAxkTMMvy4QzAd+RqZ3mpwRlDzsRc7tglHgCpCNSZ+uJnnx6qLTZSLAAAAQBJREFUNXCX4A8r4gwRrdRvIiLN2IqwTtMUABZfXWRCVCqVCy14zvlerxtUqxWEzp1WweDa1Wugc8dxHMfN86JQamf76bVrm9JxPvjw3tff/aHnR+ud5VqthoBxHE7SJKpH9+8/5AartWqWF0qb1bXVaq0aRsGbd25zxkPPe/TkyQ/e/dHbb96pBJfXaxGRLLdX63kUc2pLfBZFYWV3o4g6W1sJzrUKWZyOu4dR5RqAmYnCy1OtVlNKwcUVgtOktd7Z2dnc3FxkPDBT0y1CvLdu3bI1+QcHB81m04qf7pz1us5D5Gx9oUP5QpcgGNuixWVFnSIUodvtWuFG0sVWACIAFEWxeAfc7R0AAAEASURBVGgHUZqmtqr2CCHKrucLEnX9WZwP0eJFUksaDoeLTxftzAvyoTJekrHuUd9xHK/RWDBEhLQWW8ASzPIwrJRmtFJAlCjPc1u1ArTWvV7PSmKHxQBlAozOz40xFobh26+9liqVqGIwGjHFOs1a6DmIeOv6NSkdwXktCIIgEMjcqt9oLb1+51bDl81GM4qi4XCUpWpnZyeqRx/dfzgYx+CI1nLn+upSp1FlwDxXvPX6zTxLRqPJP/7a15eWljY3VgSD8yWCv2DA9O68etLLxbe4gKF8DosPaXE+RFJKUqeskK0CYAAwHA6TJLHCijFmMT6PqkJYYXV8fLyIOwxnBADLy8uVgrtyAAABAElEQVS29rjRaJRlmZV7tLXzkkfGinIAAIyx4+Pjiw6gnGxEMIY2SuSct1otW69kr9ez5R61CHQBQKVSsZI3jYgUNWhluijmZHE+ROPx2FbOkBWsC2blwa3MVa1Ws6gT27IDSSxa2SIIo7IlywjiscJKSrm8OOSPAAhZlsdxvPiQqADNRSslCSHeev31j7/22pu3bhdxurq2CgBLS0vra2thEFQrURQGjUbN8xzHEc2wGnJR98LbN260ms3A9zvt1urK0mt37qRx8nhn+8n+bjKeVIRbqVaEFJwzACiK4saNGw8ePOCcq0Ih4iKzNh6P4Tx6HtkZVuqqgFXfh62AU6r2YjEXhVTWBgAAAQBJREFUlcSnlbKQZY0JK9wsZqQnSWJLX2+1WrTALs2kTGgdjUa2NibOua19nHNuy/SnBDErrBDxEpE3iAgIxoDWWBTq+KifZ4Ux0Ov1rYyKloGtmS9btVrhlmWZLWFM/jVbiLjFvavT6djSjLvd7uJMaK5sIbK2iOQOORAXp3I9LM6HPGa25ioIAlsig9oBWxmYMcjOobe8kshsvlCNcXpSni+r1SAMPMHleDQaDUeO4zCDknHBGGeMc0ZNGVut1lqnORyN7j/cloyjNlmcDAbD4+5xrV5rNZorS0vSke9+8MGjJ48RkTouCiEePXp0+/btq1evKq2KQl1ayyl3v1fPF62elxQo73sAAAEASURBVBl5FzLiGWOu48F8Y9HLEkVEWtmSqECgXdjM1pvGOV9QByoJEQ8ODhbnQ9RqtWyBLo8fP14QCip1MlsCj/B5WwLPGHNR5OyFZDf6GwB6vd4lzjKA2ug4SfrDYbffe/e999597z1c/JWekcVyFZPJxCJ+47quFdHOrFbZzfPcop7X7XZtGc9WFmrpXLvcbkN5CcZM2zP3+32qyrHgqGhDtpiHkee5ld1Ga23LYwYAk8nEllh0HOdyzvd5d82MlVywQicR6cT9fv8S64ECPtdXOlLIpU4HjBGCK1WcyLyMKuHm9WtbWw/3jw7/8I+/9tWvf/0b3/nuvSdP7j1+vH10dNiEXeCJAAABAElEQVQ9fvutj925ffvqlfWtJ08fPnocx6nRRiu9f3jwdHe73WiOB0PU5tKPk2AUOE8eBmMsSZKXbZcXKvFCvh5AMAgLll8ggNpWPl2WZbYQF8q3t8XN1vsPAEKI9fV1K6wA4Pj42EqULmOs0+mUDf4ux2H+sy2deDKZOI5jJdRPCGGl/gJ5GYbDoZVIOM75RV3ApKAYg0rrg6Mjzvl33/sAEZIkAc6XOh0r2SHD4dCWqhdFEaWjWlkVRVHYqgFGlokVrNHzvDiOz18D7Gyy2MtrNBpZ2QaVUlmWXRpYMsZMxtO21+12h/qDLzgk0jz6/b6tTAUqBL34qDjnnufZqpNsEbC41QTfcQAAAQBJREFUUBHEE/TsNWHEqkBEz7OQaCKlvMSLQ4PRRZ7HE7/SQq2N0kwwIfmJ2eIc6rXqzVs3jnv9o143iqLRaFTNdRRFeZ5/+ee+tLHSTrO8V/Uf7sk//853P/nWx8fJeGt7e/+ge/3GHcH55rVrrpSXjvLnnG9vb1+9evVceRikS81HLLJZcxX6ZdrpHLF0L74MoTFoev1BtVrlnCEyQBgNhg4HNwyYFO5FtL8L1VU6m2yFwcIM2rX1elAynRVWxpgLFfY7m3zft+jWtMWKAoetsIqiyGKLlH6/byVciXNOcV1WZNVF54peas7AkWI0Hu8dHO13jzc3b0SN9rd/8MHm9RvNWi1gzXoAAAEASURBVIUtXAixWq3aTWu19TLaKsxOYthWs7I8z22FbALAcDi0pTLaivNzHIfaAl1ouVJbzDxXRV5s7e4/fvwY0WxurK+vrTYaDcZgwX3CYjNDW9Ypka2YVEQkMM9WtQet9eXe6xOTY6sbEMVrjcfjyy1413Xb7ZZ0I+kIkKCNLoqCdptyeJzxRq365u1bP37wEAGFEK1mq1GrcsEb9fpSs+VwIX3fX15JtRoNBk8ODhlgp700nqQ3blwLmYginzm8rKtSTuDpGXihUKDgHGPMufA8agNXrp5Sh6NbKq/9yvcQTZHo4qvf+v6SZ770xZ/TDN6/e/+je/eHw54n9Od+4p037rzCU1zzAAABAElEQVT9yvHMD8xWKsAlmhC/jBCx3W7bGli/32eM2apXabGqp8WmBYeHh5VKxYp+ZrGh+2AwsBWegohWcMEyVmlxVgBgjBkMBhe9Qc45IAJgvV7/0d17Fc+7eeWq0XzS73/043uf//Q7C2Yycs57vd7y8vJCXABgzuW3OCuiIAhsORCohZotPC/Pc4tAoxU+jDErdZdIGB8dHV0Cwx6PJsfdrtHm/Q8+WF1djaJoNJ7s7u4t7m9ll649+SLCWYN1K9zI1l18PdCQLK4HStW6xIknfonjGBEXt0Zoc7j0DUopNzc3k1T7gRRScJRGT9GuuTEzAIzC4GOvv3arUMPhWErpSeb7WRu32AAAAQBJREFUvjfrMsAYSEdeXV7xhXfUGz493AOH39y8tlyvR35I5ZTnSzyerrxRurbnAaZy96NEE/G3/tbfeuV0pEoj4++//+7B/l6aZp7rHh4dDYdDpdRoNORclCrgM80PAZBPC4swNqswIopcCcn/0Z9+KxIIwt057Me5Lgxw4f3ZN7/bqVfLWv9nv0WISHVVrIBnVJvA1tu7s7Nz/u6oFEFCdPrSrusKIawUOzDGHB4e2tKESEWwgirVajW6wcW5DQYDK2HptB9JKW3NfBzHVvpl5XlOXTWtyJggCC70+rDZQ0JkfhB+dPf+KE3XOrVGp3n3wYM0jTc3rwrB+cU6CzxH9Dq4rjf9CpMAAAEASURBVHu5G8yyDOYAEnqtbEW4xnEcRZEVVkIIyupYnBuBLha7ZlnpL4yI3W538QR/ehNpc74gnmeSNN496j7Z229Uqs16I43T7mjy4f2HeZGvri7TvF9u/ulNHI1GtioY0G1aUaqMMYR4vRDdgVO3TD/Oh8GRBC/VIDLpy1/Kw3COTnw98ScAUEr1er2yOuM8t/lXdf5CpZOQgEA6scxeorAH+koYjTHGaGSMFbkGhhSqiIhZljHG8jwH4EWutDIMmFLF9KKGCSHjJBFc5nmBBrXSWiMAZGkuBE/TlFglSeI4TpZliKzIlTHoeR5qFfq+zlWRK6NRKyOFjCcJAFNKK10AQJb/S1A0AAABAElEQVSlriMF56HvelJwLjzPTbOMM5bnmdIG0RhthCOSdFLx/YoMmvV6rVLxHC4ZR2WyNFdKJ2lmtFGFNhpVofOsKPKCfikKpbVBSo/LC61MURQ0h3EcO6ebip7QuOkx5HnK3OoHT/b+/NvfhyJfWurEk/jKxsbR0XGe50vt1j/1cz+zuXlNOpIxYIhGaQYsV4aaRzlCcM6RIRh0GO8f9d+6/VrQWM4L3ar6S431SdpRwD98+ORP/+wbjuvdunmD81dUnqN1fLkXA0+Bn0EQLBICcoJWV1cvJDvPsHKSJKGK0IuPyq53wFbTAsbYzs7OxsaGFUDCYmOAchuyws1W/L7needxaOd6MwAAAQBJREFUHZ5e4Sf+xBgzxhwcHFwmZJMh48Zx2S/90z+fxnk98veOuu1mk3Ps9Xrh6qKxg4usBNKcSslhq0YdUaVSIdfM4qwsFnw5vT+80GI88SN9Pb28KbZ4Xt6fvuIL+Z8e1dlbxDm9MSTFR6MRJX6duC4xmWf1TJVBTLNsb3fXMHn1+nVEXF5eGv3ow83r19Is+873fvDJt98qW4gClJ4xVjYxfX666HLTS5DxsLS0ROoHA6A8JFaWX54FLyACY3Q6MWTl20lXAwSDmCRJGEZI+MjzJ04Pg9k1pndtZndNS91wzrU2jIEUkvQzrQ3nzGjDBUcERAPAsiwLAr8oCiEEAHV3FGXsIc8AAAEASURBVFppIYXWxhhNWp2UMo7jNM0450ppz/OyLHNdtygKAJTS0Vr7vjeZTIIgIMSIwuV93yfQJM9zRPR9X2sthMyyPAwjYwzxUUqRk5DsChowWT7lUyZuVMmItDrHcUh9odOFEHmel+ogYxwNKs0BsUi1MdpxHMpSStPUdV2tlEEUQuTF9F4YY3E8YZz5nqdUIaUs8hwAHMcplPJ9N0lTKQXJgjAMafBpmjnSoSmqVitJkni+pwpVFEUUBWmWh2Fg0BiNQkitte/7WhshOGdMAQSBq5QKA5oZIaXMi8L3Pa7Endu38ixP4sx1ZRD4rhC0vF3XQcSAs+lqnS0iNl1o7LlXUtKtj2v8AAABAElEQVTGImkt1+t113VfsKXOv350vu9Ih7HVpeXO8ooXePs7u1fXNgwT7eUlpdXK8sr37/64Pxrdunql3m4nWf7o4cPJJD7qDwb9wfLKslJZFARX19Y7rebTvf0HT3fqkR+4cqnTaDfrnDNHOFlh/qQedUfjB1tPV1dXqpVX7M4E21y6H8aJrYqantnCqC8Un3u2+kXb3Hk21vOQrQ4WANDr9WzlFqyurtqSeXEc05uz+KiooLetbE1b8dqEIrxy5p9Ju5f/iXN+2fXAOeMSTcVzK56jkA0nk0zlWRrX63WxmOOWMTYejy8dBjf/CjPGKpWKRVXPYn/beajjZQeUn1/27tMx/YMY9AAAAQBJREFUvu/Pl+Q4ofG88JQTO3x5CUSc95iTxC1BF/o8XyZ9/t9SPJcH0xZBK4026pJheSTJb/pANX4JoaHDhBCkkZBmIKWkqtfkp8ZZV6QkSWYqCLiuG8dxGIbj8RgRh8MRd9zQdx3Hqdfqb73xWncwPD4+HifZwXG3HkW1qJLlOTDmee5kHEdRGMeJ4zoAqLVyXTfLcs/10iyTQgrJiHmWZZ7nHR0d1et1zmVRKM910iwTQnDGjdFSOkopLjgl0pESE4Wh1gbRKK05m+LoQvCiUIA8niRccNLSgIExRgoJAEopz/eKvABAg2i0cV0XAQUXeZ5zzmbwGwAwpQpKmvR9D4BpY4md9EQAAAEASURBVITgRV64nstg+vjG4zHNsxAOZzxLC8dxilwxxgG4MSilSNPU9wMpXERknOVZ4Xt+XhSu4yqljTZSSKoBWRQF+QS01qTe0YIki4u+pknuud5oPJaz4tJ0DDUSJAWOuJHqQ7qm53lKqdINUqp6VFiK3kTKXzldrA1Rwqz4GgBIKcuVBgCO47NZzfl2p0WfpSMAQMrpzkNfw/A5JwwNJgh8AOCcVaoRAESVEACUKlxPAgPfdzlnHATpWySMSgHngAQAVzgAwMX03QmkV17RE37gSqWUK/nzaNczhb/8Ci/9Ov3FGJOmaRAEcv6Vnt9Q5o0kBkwwdnvz6vFRd3V15WGj1mmAJbtzAAABAElEQVQ0b1y78f0ffr8osoonN9c2h8PBbrevpPet73w3zlKl9Wg4ajQaXqUqU2/v6Phokv3og/+7UalL1xsNs273eHOT6gmjAJCS37l+5Xj/KE6TgvTuM+UFPbNL6Aek/p/YOoMgSJKECm0vrlGdpzLWOftbeJ5nSwdCxG63u7GxYYWbxUi4g4ODjY0NK4qs1toW9klJmuz5fKMzaB5COyGkEbHf75MEPUNlf6U2T7YvaS2lwJ4f4ekfn0c7WGkFamUQMEszz/MBkAFDwBMXL4XxiRHivKsFgBtQud7b2//4a7crnm8A+dylT8wMvEj/KO+aXupms4kzeuF8npjw+a+lGkGbCTpYrwAAAQBJREFUOFnzpcUPAKRPlDoHzLIiZhCIhlkfW/o6PUYbIWSRK0FiGIBkGOU2kpCb14RoB+CcF0Xh+375Iz1BGtV4PKbPFE1VFAUpK5QThohUxoWkHY2K0EQCFQgvcV231+s1m00CURCxVEYZY1RDxHEcUpK01sSqFKJlVyE2qyF6fHxcpifTzkN3SrK8lKkkj8v1QOOhByGEKG+fktbpXKo6ThiMlJK0Oppwujrdbwn2sJk/Lo5jmlg6kfxQSinKnBuPx0EQpGlK4yENrCgKz/eG43EYhstr69VKJQj8OE4qvqNzT0XR/YeP7gG/fWMz8HwhOeN8PBlHUZSmaRB4eVFQu4ssy+L+miwAAAEASURBVMIwSNMsDHylNSJWq1USnBRh6TiO1iYISCPxtVLAwBGyUIXve4VSYRgQjFStVpRSrisLpTwpygnXSvuBNxxmlPiFiJwxPRc35oGLiDL0YQ45pAfkOGL6ShCwA1AoKQQLwhCmJVcBEQLfm4cqXc+Ze4+YdAQAk85zbVTDMETE4XDoOLLiV6ilte+5AMDLxsAggMEJy4ciLspGqaTl+IGnlXIc6bgun519QgEi/e9Eh9UTERf0OQiC+SxA9vJoq/LH8pj5gxFRKXWJ7P4XXote24tKsZexorf7QqxeRuTjeoZ8zIuZeQkHAFmaeX6w0ml/+Ytf0HnRbtXX2ktFVrz9xuuNb0tZAAABAElEQVRLS00phSuDOI6TNH3/ww8H41GaJqjxS1/4QjyZjEajTnsJGM/RSDeMC1130XWdN954AxE4ZwZQabO9s7ezs1uv1u4/fHDz+pV6/WNnj57sgEvjefPze2mV8WVESbKvRJXOg9INBgNbiV2MMVttQwGAPCmL82GM0RtuBbOs1Wrz+sEiozo6OqpWq2cnt84s6WniKolznMX+l0KRcz7vw6JT5sGP8l9SGugUWtulDkE/UvNK8neUzVtLzYNOIcyjNCRoKRZFIYSkKmKOI/M850JMJkkQREKKLE0931MqJ+BBSklCNwiCOI7J+CaDmwz08Xjsuq4xRmnkmvd6g0qlUgsrHNxrfwAAAQBJREFUWZyKwFFZEgQBwXL0kvq+T12wSPNgjBVFEYZhkiTEnDFGIWu+7x8cHBBgqZQqT0zTtJxkEsBU85IqIdORSZJQPCUpNzQnRVHQRXEW6UVxNjRpZd93qplCc0UCuMw8o8eldeG6bpKkQeCRx4ccVXQuXbF8HHQvBCcMh8NarUYKXGlej0ajarWaZRkl1uR57roulYChx017PY02DEOlVJqmdI+EJ5GqqpRqNBrdbrfVapFW5Ps+qYxpmhKMQd1OS32OFhUxL4oiiiJaNqRl1mo18ojR0iXlkqR+uSxJzSpBFPoQBEG5ekk8lxsXLfVSZpMq8LwFMiVaVDTs8mXhnHe73b2gncUAAAEASURBVOXlZTqYYrxIuYRZycz54Nfpm2VMu9W6evXKOMlczwNgURQao6NKJD3vW9/7frO1ZBCE43CGwKBSiQAgjAJE9MVUUabX3/c9mGEwABCGIWmlg8EgiiJaJK7rAIAQ041aOvL0j/TVndV+k1IAAHelMcZ1HTlth8AAQJ6sO8Hm/j39+/QjIjqOVEooVcyFmz+/Yb2Azxzz5/9Sq1U554w/x+fsXfWEajX7DCi457mMvXpbPq3YnaAkSbTWZyfTnEcE0CtMIuPsIZ0xwvkfLxpu+7KDaXVZAT4QkYJz5BmXLLU9PwgYgCuYVwvQeJ12FQCg4nXaU1+nNiZ0a996d+vdDz5aZBdeAAABAElEQVQs0vRnfurzS+3W+vo6GqO0YsB297cHSWqYYWjGSSzd+sHe9rWrN43GUTx4/8O7D7aeHh52VVy89cbHl1rLDFm5NZ8eHv1eNrE4EbcxL3pPIAHl1zILjwEDZEmSlfV45hP0Snn8QpBmfmzzf43jmMQPznlJ5rY2xtk0WsPoGfLBGSAgIjDgfMYcWbPZUoUyGsmOQwDGTi7KUm+Yx1pgTocABMa40bi3v7+2tlICD6XlXeoE9GOJghArrYzjOEppKYVSGgClFAw4zZvgHBGM0Y7rZmnq+X6e5Y4rytiLIleO6+ZZ7rqOMUZp7XluluaO66iiUEpFUSWJsyD0x6PY9z2l5kT46gAAAQBJREFUFONTVMB1XVI7EFFrdB1nKsOyjDOGAGjQ89yiKKQjszSLk6QSRXGRRFFEDoUsz0geaKU8j/wvAgAKpXzPy4uMYj6ohnkZESIdWa3WGUMSqFJKUixIwJOcK4NFYFbOmtSOUoEodQ5jcNAfNpoNQAT2bEXNYz+zhcS0NoJzxhnF3JB+UAIheZ6TxjNT3QQNiXRE0lEIx4KZjATkaZEjoNFKae1ImWUZFyLP8la7ZVAXaeb7QZYmvh8USnmeb4wupyIMwzRNKTxl+mOWB36oSZcF/e13fzBO8nF/uLq+KjwHtY6iKMuyarVKI6TZq9fr5fxorekBkcpCz7coiiAIJpMJFapmWskAAAEASURBVNEgXRMRa7ValmWkYlJmjDGGvpYin4ZKemSJPDHG4jgmbYPNxfKWtcrmtY352Fw8BVsyxhAhSeJqNTptd9H4SxiDnnuZDFSv1xljBHuUS6JarVJWB8yZOoSRl8MjQ5Ei/V3XLT1QMAM/yt2GOsqUv5DmcSLamDSh8jDiRkeWM0M+0BM5ZCdulv40f7lyMyzVYlIHB4PBvGF5GlyBF8mdE/Y2TSxFws1DOOdRFxgTzVqtUQUAzYUAwMl4gghZltVq1SRJhsOhuLICwJ7Tl06FAL6Q+elUzfl9+OyxneZGAOfigUO069pqA0NbjZWwdWPMZDI5f5LsvBA/QYRbn336Oe91uyOzAAABAElEQVSd7C4rcR1oL7WfDEgrwBNjjHaVV+h5NN1k9YqpMTDbARljAJwxBOQMGOde4G9tPf4nvvDTa6srayvLjHMAMe6OfveP/kBprIT1167fTPOs0+n0er3f/t1/9OVPv+ME4Q/v3Q+kdD3/tdder/nh5rWrggujzdQhPZNh86MqvSo4KytfugNKhwJBBZTnSCKfzF8CA8iWNcb4XjiJJ77njcbjer1KmTWlGU1OEDpSSkklr0qpQzZlHMcUBkSXcxyHRBpFQpDMK/2JjuNkWeF5XpZmiBgE/mSSRFE46A/9wDfaIGrP90ajUb1en4xjrTXpW9VqJUnSIAzzPKF0d6oNRmKyjdIgZAAAAQBJREFUDGsl4UeYAcEbiGg0OK5DopckXxkYQcY3XYXPCreSJCahboxBw4pCCSGUKrRBwXlRqCAI8rxARI0aERgV03bdPMs558YgoUppmnmun6WZlEJrnSRpGIVpknmeWxQKGBNCbj3eunXzZhKnQeDneYGAvuPSMyIQYqpdyWnkTRwnfuCrQjEAx3OyLPN8P00S13VJT6pWK2maSynzInek5IwXqvA8L46T6SUQA99Ps8z3PXrEWhsAFoQhgU95XiRxIh0eBAHhHJ7nkV1B00UOO/qxDCUmaGSqVs6QIc55nhVBEPieh4iMw4kNvUQvkHyqCJxzg4bUfeJWPhfXdSmQ9ITVWw7R2uMAAAEASURBVFoU89J0amjgNDrcIApt0iQBxkLHZS578uTJ9RubjLkAEEahKowjHcYZm8Xw0tVLz+M0tibwAZkEUEpv7+0ZBt1+d2VleWmpIzlwJHjDxRmoBrOtmeIiaLpghsSUwAPpQGEYHh8ft1qt8h4RkY6ZPxLgpMOojNcpf6HJdxzndNL0C3WOE389hUwgZWu9MG/6hTDG6V/Kz1mWUeruyzbe0z++jCgH0Fa1nSRJLlHF6YX32G63F1c1GGPkXOtcuAo38zzn6sa6MSjk1LAOfL9QamdnRwjhBwHlIpSm14VISmmxjWSaplZyyOj9IjG3ODdbtcYAgCoSn3+ez9DkiqJ4ZXld20m6AAABAElEQVSj81yI9AoSnecc1RlEwMTifACAoiys4HklsdFwwhgTUhhtKDPFD/yiKACBu06WpVLIJJ5EYQAzQ4q0Lq0M55wLoZXiAnIN+8e9f/y1b9SrYafqe45AJzg4ODg+Pj4YD9dW17BQ77z5saVGHRxxPBj86N6WlPLJkydCOnE8iTzn9o1NX8pPfOITjuM4kkPpNzGMbl6DcV1PaS2lRGPI/yKFcITUxkjBi0ILIRGNYcg5V1p7rpPlOTkrtDau6+R54UqhVUG+CVUYz3P7/UGtXjVGl8boNA7G8UgtEGIaBJqmme97WZ4LLhBQqan7g1wqBFfs7R6sr68XRe75XlHkZV46wQDM3gAAAQBJREFUARt0PGOsdPGQz6gMaiFdIcsyKZwsy4zBKAq00eQMKh1VFBND/5JKwWbuntIXBgAlzMM57/V65GwtkaQTuCMFGZQDJg4vfA12d3eXlpYWz3ggA5SE+uIru9frUfTG4qMaj8ee51mpMUE5+YuXYKBstSRJGo3GRUeltWYMsly9/9G9h4+23rxzq9Fo9nq9KxvraZrWqlXHlYKfVeK7RC6nLW0MHhweDrPk/s721r3Hf/ELP3Xr5rXFHyIi7u/vLy8vW8E2lFKXU1xeOLDxeGylGx6teUrwtwK65HluK16WTOLF71FrbSVVi+aKrO5FRkUb2nG3t3twdNgd7B0ef+aTn0DMK04AAAEASURBVKhF/nK7ccaaP2NURVGcJyPqnGMjv8FF43NOIIj0lbwxl7ip08zzPGezVIYFiQpC1ev1xd/rNE2LolhcLabpKlNGFuRGYNDieVo0KnJbLT4qY8zBwcHq6qr0fBcAjDau52ilwygABCmEdGShdRgESilAJJdEGUpijJFyqvO5gW/QSIetLXXeeftjP/roo0dZnhW568qDg4NGvfHx1964feOmyvJmveZ7brVeW15eiWqt8XjcbjayLMuypFWrrC13NlbXgyAAxgDNXA8Rgis8gGnyOsWcIpogCDij+AFAnEaYAoBBAAY+OAjgyGCaewwIAK4UAMBmQRKOBESoVCpZlodISuONAAABAElEQVThtNB26RxBBM930SCwabRrEPjAIPCnj9PzKAJjCkUgohSy2WwwDn7gAyAhGeV7SJWNykc4i+1wSUUjns9cMwhaC4PIOHOEA3OlwOlx0Kqif+ms8hJk35NyCbNC0LSblD+W0TPz66kMvn6ZY4XIirFOI9ze3t7Y2LACU9syg+gZ2cq/JnTZSqkt13Uvp1szwt05DwMfmPgHv/P7nEElDG7cuHawt7e+tnZ1ff32jWv1apUSZk/3q50LA8AsKz768f3ReJJqdnhw+MlPvNFuX8BYP4Nw1pDRCimlLIIuBC1bWai2+ACAxYJQADAYDOzG3S5OpSG6AAdAA1rrrcfbHz14lZ01CQAAAQBJREFUmBTq9o3bWZo2NlYY55dLEJdSWuwRh/YCxAkNssJqMplQ+MTirIQQtnLVmb0+WGAv0JxzbquIOtgrV46IVOpBSikYY+AAzCJDAUBIDgAel4jIpTCBT75CNhdoMmMlAIADR8TQk2/evsmZ6A4HR8dHjTC4vXHF9/1rG2uVSqi1EYxrpXzHAcZurq1MJrUdYApNnuev374e+t7c83thIOqz0QOAIzhqxaRkbFpXuqSX5Oq+7IVGqio0PWhO75n+nz878YUsTjjLuGCMQRlUe9qn8zIv0unxplmqtQ4C/7TWdR6Pz4mvVNjPijw+OjpaXV1dnA8A2OqzBPa6sVE0ieu6tlIRnloAAAEASURBVPph2OoNkOd5mbp7IeKcazTCEetr61kOT4+H/ePDjdX1UZKN0mLvoLv9dLfXO/7iT/104LlsNuzTNwIAxuDW1pN6s90bx6PJqOqHt65u1qp28CTG2NHR0dramhVWjuNY7P1qLLUNhZmsshJERfGLtvy2FutiUqGTxfkAwGAwWMhMQkCEJMkc4XSWlgrUS/VKvdGQUiBjAHiJZ6C1Pjw8tFK+gOCSS6yuE5s5SR/KqrayUCkpZ3E+MEtutcJKKUV1+xbkQ9Nlq9aYreA8OJVvsAgxxrrd7srKyrn04nNelXMe+e5bd26OJpPRaI0zIQQPw7DZoEgUQMQszbTW0pEOh1qUg3J9AAABAElEQVTk87UVz/eEFPKCMDM5160grgggJddGSWZHGR+NRrbqodTrdcqvtMJte3t7c3NzcT5gryIxm1Yqt0OU47n4FsA5r9frVsQwADDG9vf3rYiERcKiqS+N78p6NVhttzFLR6PJKI0DLwzDSi/LB6Pkuz/44ec/82nJZ0YFAeeARa62j44mk8nx8fHq6nIh9KB7AJx1jw9/+vOfbdSqo9GQ4m8WnDREpKB7K55WwrxtPUewZGeTApqmqRUrIplGptohW/1tKcZ3cT4USHOh3tBzMSezurKIcZp/cPf+cDCM03hppdNq19vtFgAopQVnBpAxzhic8+lSgI2tNpK2Qvjprj3PPWNsEwAAAQBJREFUs9gABgAqlcri6AAl8tvyaViEBrvdbrPZXHy62KwMkJVRlZWMFudGiuyrFwRjjMoavfIwAOAcfE94Tm2pVdOIymgx62kFAAaxKHLf9xgDYIwzqNUjOLceeeJy9HosqgAxYADSsWNbE3U6HVt2PwXf2Cr0atEjZrEdMJvl+S7OzVaUEiJOJhPOua1ULCv9bQFg3r9/UaJACM+V66udz+Ib+mN3dnd3CzS1Wm08Hq+vdAyw8SQ+jRyjAa3NH371a5yzKKoc9vr9ft+RvtHs05/65O1b1zmaSiWilKAFXSq089rqb3uJilZnUFmnd0E+FH9jy63JGBuNRrZgCVszxhhbvO4exz0AAAEASURBVI0skTGGMIn/r7kv621kydI7Eblx30Vqq7qL7wzssWEDY8OAn/3mX3X/mJ8MtB9swIaBaTQG3e6uKhUlbsk1k0xmZoQfPjEqi1RJFOM8+OCirkSRh5GZESe++M72zk89hx5keb5Pks8Pj7t9luR0e/dRqX2lUSOip6fRH/7wh8Fg8NNPP93c3HjuO4p8g7BkARziUBHJXhX8v6rQT8xGEMNtPyoiEkJw9YhL0zRJEi4PCRdhyVKfH6JeKvF7sSrkML09MuxSZ96O5zRcSUQkSXiO/P6vwoT/k92VmGRAS8E9ZYxx0VqjkRfLBCqVSiwtViFIuWVRFccxF6hqtVpcsBjGIbGsAAABAElEQVTgzN6g4FjMZQK4YplBVCyXSxvUKIQoBf5vP98qpf7Fzzf7XKVpliSJ77nVcknKQhlUOoQpCO35Ti0IHh5Hk9nm9nrwOF7OVp//y3/+T799uBO5ypV6eBhKKefh/F//m38IAiskhFxm+ymBZFsUELZUBYnjmGv5oMCvqUhsI8WeAfbCGHP25cuXX375xV6V4zhXV1fikP/31qrUiugP/+N//fGPf/yP/+Efm43GZhPNws3D6NEtBb1Od7fd/cvfflpPZn96GH8aDSdxHD9OGq1+vbppNWtK/jDz7EiUUvP5nAu7oOqh/ZwXQqAIJQfOE57rO45H57Kcr0mWZYvFgqWAKguyMgAAAQBJREFU68Uxyi8K13FLFYqxWwIbJFyyjMrEMjq///77m19Mz8W1GUK7cBksOyjyTC3pTX0oVfXiSd2EqrzrK6rVKsIZLx6VkSRJsFGxZH2iHJr9qIgIaQos1zgcDsvlMgucRWE5e3OJDDiuwACllG2A0WFUQggkabKko04mk0a9EQRepVwqBb7z4zUupaw2W5pEvN1KKSu1eq5UvVqaTGfrbbyKY3KdL4/Dp+lkPJ3+/OGeLIwdwplZTA32PC4PCEonsPB5KHrMMuf1oXSfpR7IYrFgsTZKqVqtxtKBEMsH6WVv70GaiGg8CUk44Sr6n//7/4zn89lqUS6Xf7n/8Pcf70hlf9prjl0AAAEASURBVP7b5//63/77n4fDp8k0TVWv1R5c9RxBvud5nnv+Nlcul7luO4pkscxS023WWpvebndZngdBIARZKkNVJpaVmKapKZ1rL2EYosKRvSoDISy1oVYXi/MdYQ9nOVlwRGBJtocnheUJwbTZtwNH/ukr7pgLDkZPT09cPVtx27n4PMZmZZPJhCVYnoi4WrER0W63E4UStTaC6owse54QgosmybLs8fHx48eP9qqEEL1ez5Fv72p4w+1NX5DqtetauutN/I//9l9tNpvxaLpYfSmVy3/+5z/99uuvUrjL5ebp6clmbqBK5cUfLwraUTCGWnPxsqbmpb2VcBwHAcH2AyMilsoZ4HOVAAABAElEQVQXkPl8zpWqhas7a2CaBFG32czTbBNHvV5HOLJRq+/3++l8SpSvVqswWu1p32m3W8279Wbz4b4vRV6ulh3/HUWUtNaMt52IUA/LRoM4FKfkeoKlcsB0ln8+67K0+Ub5Ai7CgqvzuMkKZ9msuZ4gET09Pf38889nHUdwLLb/SkQX2YMzOtxWs6Nb3mL0UELAqeXAiAhVXu31QFDNjkXVbDZ7sUL9BcLVQg2OSDSfYTm+sIyKnqvqvFyQ/b2itb4gwOhF8TyPCxZrrU2n+XPeHwh5d9W/7nSzPPc9T0iR7PbzDx+/jkZfho83d7dpus/T9O7u7l1R86di+fGiZFnGeLYhxdLIugAAAQBJREFUpgAPMEZcAcFcJXsgi8WCJY5CCMFV+Nd4bM8XR8rNet1st7wgWCwXaZquV6tNtFFZ9te//vXm/m7Q7/9697Faqags/+XnD0Hg1Wo1efbTwLPjCkAkpjCkb5WPmATeQ5bZhQQyrqhBxkJC0+mUJRqYMQ74LN76bLm/v6dif9tXhItSJiJ0VLTXg/GAhzOT++JBolLx6Sy87HYzlhE3DTFZtHW73cs80acymUxYgAtyi0zIpqVwTVRERnNxz1JKri0hy7L5fM6ChMSh392575fCDzyibzfE971avXQz6Pz284dNHBOpwHH73a7rWaEExpI9iAbmiv6EM8Vejzi0NrFXRUqr80MAAAEASURBVEToIMeiigoVOu2F0Qy+I1VTEikql0qlUjnebqMoCjx/Ga3vP9zv96lS+W9//3da03Kx3CXJ9VW/Xq6Ufb9ef7fnDgdULoIKmRMsqtDQmWWicnVZJda2YMgt4NoTGVP3GOszMJazQZLWWXkYLAdQTGXUWLa8DAwGDTFP0wMvELCMNhqKst1uy89NdWwF9Vm4jmjD4fDDhw/EcfjgohC01o1GgyUMjojW67XneSw7KCYqV9ITlw8LwRZc84HBmyyEK0WnUU3i9WAwcJwfVK58j/R6PS6LyVh+lojQE89eD8wgrIS9NrR2tNcD2e/3LNqQsW6/iWKqv6vyhRDiqt9ud5r2GByCAAABAElEQVTbbaJytV6v/ukv/9cVjl/xF8vFeDL5u7/7rd1ulYhajVqrUUengPcKImUv+OCLqpAky6LKMk0BeAXhTKh4xRUJh3Yy9no8z+NythIRY+Y7mhRbUnG4/2ibaW8DTQrgWfF55tnbfytLVpHxhZt0dJZgeUsNRjqdDmNx89VqxcIGGUcDVz6N/ZAgm81GSskS6cIVXYRWS1mWHfV0v0wEX28A+r6FvI0IIUBI2EwGQRLlK26ur7lWYhiGXISlvZKioOGy/V6FmrFcKAHNuLkiGrmoQSkly2YM7nM+n5+tDd2chevIeq1CRM1mrXvVkY5M0zTe7v/pj3+67nSbzWa9FPi+q0yp5gAAAQBJREFUZ+MiY6wtpQ89iuwFjc4vtlpFhw9jz1YhBEuZOiJK03S1WrE4W+kQh22vx8Ck/6/2ViFEHMfVavWs2cCVC2nuhaUqOtQa5aK7AerfuzbARZ8CxPl8zoUaizGI9qoA1ouP8sXxnyPb7ZZlVETUbre5bNx2u2UZGALkkc1tr00w1VWhA03CpepdncVfl9lsxmWeGF1FrusyTlQ0p2ZRJaVEEVp7YSnpZ6TdbrPYrjzPF4uFvR4iklK+F8UKIaQjpSPwX7VSLgdBo1brNGv//t/9w28/3/c7jXIlcFwpL9rZgD7jOGbZzkxOob0ekHA226KpooAdlpEqXq/XLHrg02BRRTSZ9ccAAAEASURBVKy5icRhuy4LSH1zPG9vY/AWcxlxrlLdmq/XLxGVSqWLK9acDuCCNvOvKOfyYRHRfD4/NUyXKe90Olyjenh42O/3LBMMteDt9RCR67qe53HV9J/P5/Z6iEhKyXWQJaLxeMyyS9F3jRBthSs9lt4V13WGgDmz14PoT647xqiKiCaTCVeMEWNVdq6WOWmaRlHEYmqklAwXqJ//2+2Scx6iLsiLfzXPjoVV2u12q9XKUo8RrpZ6LDkrdLiZ4/GYNwbR8hpNMg1XyBDM6dtwBM+b6wmhoQeLqlKpxMUqx3F8wdQBAj59HmEYMvJ5XJ4UIcTd3d3Rc7y4oNFiseCC/oPBgAv3qki+AAABAElEQVT9IwbZXg88a3Ao22sjpvRknPNGo5G9KgiLsw/mkjEDbjabsegBjbrdbrkmqlKKsY4GV2pkqVTioniJ6Pz869dFSskFEUygmL2Uy2WUXLZXhUIhTDEwJIWTpmcZrldwHh38P1y4v1QqMTYf50JUaKFmrwe3kTG7/9RddoGwH5un0ym9ifMwn7h6AwghAj9Ikj1Z2zetdRzHXDHplUoF+4G9Ns3X5IqIXNdtNBpcqPHLly9cZxeu9S+ESJJEM2VjcfnxhRBBELRaLa7bxQLOEHbDyKSyJJrg6Ml47u90Olynyt1ux1grAPVLWVR5nseFXRiD84hoPB6z6BEWDfpOVTUaMjU0jgAAAQBJREFUDa5z4GQysddDREIINgwkNAkt3hOYhbtxivlgTlkGBXgNlMAi9Xqdi0llcbYCow+HQ3tVEC40wnUCpEORVHoT55nVxWPgNKVpztUTkMuNQkTIDuF6SIyVjRGDzAWyP378yHIAJaIwDO2V0KHoZZqmXP53ltmFUcHNba9NCMFYCSWKIi60wQI18OC4eroT0Xw+51o+vu+nacpoNLlU5XmOvib2qmq1GmNdFa6zDVccNh3CHli0eZ7HFfagtV4ul7ZaxHNrQa0ViXNxXtGGH30EMam73c52YIf4PEbnO5fVQgs1ez24jVwlnBiNgz7kO7NoQ8jQWQCCLQREkOPKjMMqCa+YnuoAAAEASURBVCHTfe55PnFMIOA8rt1luVxyPSTHcbjClRCLwKKKWJMZu90uwJk9G5ckCddx1vd9rrrZRLTZbFj0CCG4MDEy4Oz1QBjP/Yx0ODFxlhDGjAfHcTabDcvOt9vtGKuy7/d7rjRSxoATy6xwI1mWcU1U7MSXmazTDyIP45xrBJ5A/tyLX62U4gqiyPOcN42JRY/jOOcXoCje6heTDuM4ZlmGF7ikinRs8WeTh2FexCWogpjXlVLwMzz/rFSq8kypTD2/6Pt+nufnxufxLVpyXIes16xW2nEkaWIBVJVKBbOQxZoMBgMuy6uUms1mXCchxiAqxlrwYRiuVisu/zvXNaZpul6gxz02AAABAElEQVSvGakgeyUYDCNz9unTJ3sl2Hi44rq4PPhEJITgqr8NYWTOdrsd1ynCdV2u1F3i24yJL59Gax2GIQv6dByHMb/y4hSfU6tyZn/bN70xQohSqcRYI4y33BjLhM/znMv5TkRcCQNUKK3y5jsNdMuyDPcE5V2A2OCCwF8RoA8wB+ODxutZliF5EQt2u93udrs8z+PdlohW6xVeWa1WcAk6v//+++sDwjgwC+2fE24rAzsoSGslBLmuY/+cttstY7/z+Xzuumf1Dn5TtNaO47C0LFRKvVgE1Zwh3qXt8fGRq7ZctVpFFX77+x/H8X6/t3fdmoOU7/v212hUWeqBqul0WqlUJDv/igAAAQBJREFUWEbVaDRYaGyl1GQyQTtwe21xHHMFBLuuG0URV1b+drtlGRgW9W63YxkYWEauNHMUZrcfFZxrLK2PiAjmlOXOL5dLlr716MqAU+WZ2rC1i4IUX0Rp3Bc/WKT6hBBEgjQJ8e1uGGyBjR+xQ/p7AWIDvV2kiMy/RYrIwDtRqLYBLHIqxY/TgTYrsk1aizxXs2kYBAFeB2qHQmxMQgj8i1w6XIiUcrvdAtagdzl6CqOvgVJqs9k4jjOdTj3PW63WSZKqXIXhIgh8xDttt7vVKiqVSuFsHpT85XIZRZHvB9NJ6AfBaDSuVmq7XRLFsed5T0+P5XJ5sVikaZqmaRiGpaA8m9ApGNIAAAEASURBVIZSytVyvY13vufPZvMgCMIwjOPY87z5fB4EwWg08jwvSZIoioIgeHp6KpfL6/Ua1xKGYRAE4/G4XC6HYYiM781mEwTBarXabreO48zn80qlAj273Q5NsObzeblcBgmitV4sFtVKdbvdOdJNsyxN9zjjIdtMSul5Xp5mvutJEq7jOo7jOM5+v69Wq284lfEYAIPs17/WGnfHcs/DqHa7HQs4A442dbHttaHwN4unW2u9Wq1qtdq7tL0I3dI0/fLly6+//nrOm98UHETsrxF1tsrlsmltYiMgNuwpPXNgYulrkuc5S+1fY0BZTkoYlT0Ph8WIvqgsizFJEpacQTgigKU3DztQAAABAElEQVRYIAKs/wXY5WiJ4ciOmi+vxFqdGfGzXq9LpZKBCEVtRxqMP8hE8aOmbvGRTSYTTFTznuJIRKHig9GvXwgnEtg1qtXK0YUYcIOPFL+l+KXFjyCz1RSr0t/7tsyQ9PdVRU5vndY6y/LJeHJ7e0NCaP3dheuXKlkcXjSvF+6GJvV84c8tEHAn8a+5sYBoeF1KiVpgWZZhpez3e8/z4yh2XEcpJQSVy2UUto3jGPv0brerVqvz+bzZbG42G8/zpHTW602n09ls1tVqJY7jPM/r9fpqtep0OuPx2PO8arW6WCyurq6wfQBq+L4/m81ubm7CMKzX69vtLk3TRqOxXC6ver1Z3IRiQQAAAQBJREFUGKKH3n6/73a7q9WqVCqtVivXdRuN+nq9bjQas9msXq+DYWo0GpPJpN/vz2YzbMRxHHc6nc1mU6/XAbOazWYYhq1We7FY7JN9rV7b75N2u71YLJrN5mq1AhLY7/etVms+nzcaDQQX+r6fJEm1WgVywp30fR+ZVfv9HiUaQNjv93t4J4kknqGUZlbgV6nyXHxrYPxtesxm4VWvq54f9HcTCU+Z0HCLzOPWeNvRKhNCmAOqOPToOpqEp3OsONWLOtEsp6jHnBCUMm/WRzqLa8F8BYLu3jAlWEvb7db3fcexZc6AgewdFuYMgR7e9trSNEV9SHtCQms9nU5brRZLKE+aprG+kXIAAAEASURBVKPR6Pb29l13/kUQhjvGlQT36dOnu7s7exYBeJ3rvA4Sm4XPi6IoDMP7+3v7UaFVrj2fB/Q5Go1ubm7s73ye51EU1et1lsVoilnaaxsOhzc3NywENqAeS8YDpoTruu9qbaL1C7Y4z3ME1bmui8PzkWkGJjAvvmKisdUtl0s0GyjqKSKzovWHEcDh1txkABHzOhXqtbqua7xLCPdJkgQJLkSEjwghUEQ6TdMsy0tBKUmSKN7WamVQL2ma1ut17F5IzW40GqvVqtFoLBYLzJwkSVqtFownghfr9TpaNc5ms2azGUXRZrP58OHDaDTq9XphGGZZdn19PR6P+/3+169f6/XTexyJAAABAElEQVR6lmV5nl9dXX3+/PnDhw/T6RTpmcA3X7489K8Gm2izT5L+4CoMw36/PxwOPc9rtVqz2WwwGIzH42azuVgsXNftdDpfvjx8+PDxy+cvg0F/l+xWq+Xd3d1w+Hh7exfOwnK5rHS23W6vrq7CMCyVSpvNRms9GAweHx9vbm4eHx9RNw5QZjwe93o9kEBBEMTxttlordfrcrm8S7ZEul6vY4tENQkpJU6bcRyjKIQxIwjpMy0r8CjxfqUUvLdF/G0wqJknWpGQQqtnLCvEd9OGiNQBWxDpowV0BJH1t3f+cCGsVisWF9B+v398fPzpp59Ov+LNYRQF2Ab38M1RvalcKQWc5KifbwAAAQBJREFUZ1kjrGhOWbaep6enu7u7t/k8kHDlcvlHh/Xz768+VEKy3IkN2Qt8YL+1wOf9JqVUvNIf0WBa69lsVqvVWFpd4TLfS2+8ODal1NPT0+3t7ZkaXn+mURTB2Xp0N941GSAoUwe8buiB88dW/HW9Xud5bmIH9fdkBr26ZR59hfGVmJ3s9NQlTviS0xepwJydjkR8z0MUNb+oHN6ier1eHNXRkF4c3tEzosOhCyU5jq6u+Cn8YLgToAGzhRhVk8kENQJPVR1tCacPQn87qj4zIubj5gLxjWajgpNrv98b/xT8HTjrg+9M0zTP8yzLwFIAvpRKJRwO0Qp9v9/jDahOslwuHeeSrWgAAAEASURBVMepVqsGglSrVRAM4FRAVLTb7TRN4zjudrtoyRUeuJA4jg1WSJIkz3OABsCIarUKeN3tdieTyfX19XQ6bTQaWZbFcXx1dQXlw+GwXC6D8Gi327PZLAiCLMuSJOn1erPZrNvtGngURVGv1xuPxyBv4HhZrVZAQp7nwbs0GAwWiwUuqlQq+b6/Wq2urq4eHx/b7XaSJGmatlotdFnEhYOT63Q6+C7QyQaI4JKJaL/fNxqNMAwBxYioWq1tNpskScrlUrlchhGr1WrwC8EBhyeFx4H21nmeo9zMgZshzDQhRJqmxs5jShgEU/zZTCEzr4oUIJbPeDSGDdQF8uZoweoC0ynRe08YAAABAElEQVSEINA69I3X01rnmdqnabkMI6/NV5sZfvZKFFprOO9KpeDFJXNkBI5GePTOKIpMXEfxr+qk9SoUH84fpPXzz/pAF+12SZIkzUbjNJ7+xRG+jvMwRe2xy49cSecM4+j9SqkwDLvd7jk473XlyFmxd3vy4jxQA77vn4Xz4Cn/UTTJ+Vs7GHj7JqS4FzB8LIQETDmAy+vvLO5JdDhFFQUPCSd1m1GZbxwOh7e3t5bXiIHBkp75va8/08lk0mq1DBth7sa7JgMdCsf4vo+j3o/u6itjK/6Koy3uPEZlTGrR4lPB9B+5nIy9BnmAqqpFnGHec7S7mLaSoEkwKpAZ+LeIe/AiQhijfwAAAQBJREFUPo7eXNjwfN/HcgMEQUNVHDfhvlksFkBaaAYVhiH2ZuyUu90OnMFgMHh6eqrVar7vLxaLfr8/mUx6vZ6hN7DHg8mAxwfIo9frPT4+VqvVWq2GQ/Nf/vKXn376CVmK7XYbAGIymbTb7SiKAGtGoxGwDrqajsfj29vbv/3tb3d3d5PJxPO8RqMxGo3u7+/xQZRFaDabwB+TycRxnFqthl9Ho1G/3394eGg0GuVyeTwe39/fPzw83N7eTiYT13UByLrd7nQ6BTbK87zX6wFOzedzBGCByZvP551OB3iOiCqVynK57HQ6OHzDAwUUBeIKhg5PBMQV8A3+mmUZguHMQyzutbc2MVoAAAEASURBVOLEMVpcHeZnXfDLFJeJwQdHTIw+MHBmqpsVJKVEgMErbRuL6OcUhRy9GEURV6yCUsrepwFT//j4OBgM7LWBWcdisdGjlNZKzxfLbqdNgixts9Y6jmNABEs9UCWEsOewtdZZlimm2uDQZu8SJKLdbjeZTD58+GA/JKVUkiQXtDw9FaWUWTuWOA/8N0socJZl6/W63W6/jfPoEIBsrNKPTuSn/x79CRiIiAz5fHSiOlXyytjAbCOIoaiNCpbr6EKODnxEJIQiknG8k9Iplfzim7XWQkgBX/4BURSt8JHpxKekdMbjSbPZ9DxPkD6URyIcCrVS0nk+j4oDQ3N6o57HSc9iIjtoAAABAElEQVTQRGnluk6R0jh81zOqwPaDihuu6yI0G+sqz3OVa9d1kyRZrpatVhMuvyzLgC1KpRKCJvGgceJvt9qbTQTYsd3uWu3mPFy0263lckkkSqUgiuNWqzWdTDq97iycB4FfCoJFuLi5GYwn0067jXdWKuV4G3U6nclk0utdTSczKWWn0x6Nxv3+1XQ6rdXr69VKEw0G/el0AhICkbbz+fz29hYwFz0SOp0OCI/xeIzkxyzL2u02XJlIBcC56urqCt4cgEgi2mw219fXs9nM1MRut9vT6bTf73/+/Lnf7+MQ0u8PRqPx3e3taDz2PMdxnDiOEYMCh4sQot1uh2HY6XQn40m7DEDjvgAAAQBJREFU016t1qR1s9Ucj8aD60EYzsCFbDabXq8H3+hiscC6BUEShmG5XEYYMvBNu90GXURE6/UahE2r1dput0AVQC2bzSaOY2DiSqUCbw6OYZgMCGEplUpFWgsECUBJETQAMh6RDUfTu/hXM/+PAArKVZjDuvieZTxaI0er+7RSFMJbjY07XWhnitZ6v9+DSaLv+RX6geWhV5EQQp3ON77FAR/dRiJCGNbrn3pTudZ6vV77vm+8B8UrOmKYzpH1el2tVu1xHqaEfXEyTFRYudNAFHrrTHgkSZJMJpO7uztbDKR0nufL1Td3uY02cBZU2BYvHNXBzQUqyB7n7XY7pRRLMo3WGiM9uCcAAAEASURBVKGflqMiIpD09ugTxrAY+mk/KthqG22Y8ECfLPcqiqJGoyGM74O+t/LYD4AV4HHwPA9HNMwkZP8CVfi+j3jJNMvyPKvX6vPFotFobDZr3w+k48Rx1Gg0l4uF67pZmkrp1Jv1eTjvdDqzMKyUy5ooSXaddmc+nzcbjcVyUS5XhBDYLKezaafT2aw3yMmM422v1w3DsFavo/lMt9OZzmbdbmc0GnU73SRJkv2+3Wo9PT3d3t2FYVir1XbbrVKqXqstFotvjg+po8220+mtVstWq/n09NRut/H4+/1+GM77V/3ZbFar16NonWUZnCmgRhDvD9YnDMNOp/Pw8NDrXe22uzQhGG/rAAABAElEQVRN253ObDbt968OpMsm3e8Hg0EYzjrdzmw2Qz4KtD0+Pl5fX4dh6Pt+EASLxeL6+no6Cdvt1mKx8APf81y4e5CYA4gDL9LV1dXXr1+vrq5MFgIicEFsJEkipRP4QbzdRtGmXq8hezdNUwCFUqmEABEiQuhrHMe1am23S1zP01rluQqCIE33nuen+710pOs4Wa6kkEop4YgsV44jhRBCaylknuee56ZpLqSQAjhZExFphI4KIhJSKPVcFGe1Xkkhq7WqfNbxAh14BKZfXB6Y1kR0dKIqUnf0PdQoahDPXmMSQmilsyzbJVvseVgOJ6tXEJFWWkqhCThek9ZCHiMhrfVoujepzAAAAQBJREFUNLq+vj796hcv6pR6KXI5WJL2O7FSCsyf/X6A2JQjOHWxNq44HhzWMdtZ8jCQ9GfffAL7utaaJY8eAWFcLTGGw2G/32eJ/uTi82CN6/X60aguwHlZls3nc5bcI601jtM2OM8sfFPw4fxPnX6pgQgo0WCPPrfbbZIkLKWSDaPBEoS9WCzsO0li/uCMzeUhBWFpyefxxufBMosvX75gM9vtdp1OZzgcDgaDKIoQrjGdTgeDwXQ6rVarAPhgI1qtFtKDgXtqtRpIy0ypXbJrNBq7JPE9P0kSKYXjelmW+YG/3W4pJyGF6ziO56Rp5vmeynONniFKuUIqpaQjc6UIgRFaSUZWCBUAAAEASURBVMfNVe46jlJaEwl63vzSLNtut7VatcDOmZslhDhEcgihtJZCkAlH0FqKAzlBgog2UVwKfN91Xly0xRP/iyiECnWGtNaAleVy+UcL8nwBLfQuFuEVVWCDj14vXtT5pvPzp4e7uzshcZ8vHxU4LSISHNm7m80mTVP7wl2gghAdZb/nGZ7VUg8OoE9PT9fX11yeNZbOwlmWmZQO+90FRCzLhCeiKIpYKtVprZEkyDIw45qxf45IkOSqYIKK8SwOo+Fw+PHjR0s92PbW63WtVmNBnwiKsMd5RcLSBucZyCiEOJOj+pGVhip4AOxL9uhDRg5XgTCu/CqU7OEqI4oofxZEtd3MDUs9AAABAElEQVRu7SteGVKWxW+rlHp4eLi/vxfYaA1zUIwvMV+82WxM6r743rVK3zsaDpSNINJa6ed4Tq0dKZVSmijL8izPSkFJPjs0tRAIATVxruJZz4Eikd84D2EYIU2U7BLP98DRHLwV8vAGQYY7Mh8RpDQJYZrNwBEribRSKt2n5VJAry7aV3Ae/oSfQW2y1EtTSqGUDstmPBqN7u7ujl4/wnlnbtVpmkshhJR0SMV6/b7hh9P35Hk+Ho/RMJsldANR4ZZ6eBdblmXj8fjm5oasQb/iq6uilIIzmoXPgwecOPg8hLey2DjkMLGwCPpQsNQ+vwpH/zzPWWYXgi64GnUggNJ+a0fwHW/FGAAAAQBJREFUtD36xOyCK9/+GpMkmU6n9uHOZiWaPZHOCNU/FbNrwK9iGqS+ruEH7oVvOA8hpPaAI4qiIp9nSVNFUcRSudDUJLLUA5lMJp1Oh8Wcws9pedbFQ0RQB4vf1sRzy+f/SQlOxfxqom1wF8w7i/8Wf5BSOkI6UjpCOEK6juNK6UjpOg6USCGydF8pldzDJ8wIngcgpZBCPP8joA037nmAUkj5jOI8343jSAgppSuEI6ULDdIogZbDD1IIVwpHiGeNQkgpHUGSKNvvHfn2PRU/ruV7GKEkIoSvWj4ho3YymegfOCvfKy9y3cWLOp9zfhw+Hkalzxnej94jhGg2m4b7tBQpJWdQTIEAAAEASURBVEvUMB0iWFlUEV8TC6XU169fueYDS0o4JgxX8wOgT3sDB/E8L4oiLm2gP7lU2XvWIL7vM05UBJzZ6xFCsHRPhqAMrL0ez/NY+pli+zjtyvDehWlOIK7rqkKrqzM/9aKYdKJ3jeRFKZVKKApzzqheFxyTuAwXerayCGPvR/u7ZJSY+WApQohPnz69HbYCngzl5Vi+NQgCrv6J+/2eq8mVEIJrVEUHqL1orfv9Psvy0Fp//vxZWfSQ1YVegb2rrnhPHMKP3goPCGq4XzaqoqCSrb0eIvI8D5Ga9qqEECxdNXGI5zJMXOgHhmmxWOh35km8KFLKXq/HtXwYTQT9oD/mZYItNOg2AAABAElEQVQoZxZVCBpmUUVEYRiy6GHhUOmAnLjQZ57nyOiyFDOqo9cvHqQ6iPn1YsuDZCyWiZqmKQ5d9vEYvDvsmdXBzpHVasVlCen9QP9UzK3mWj6InXhblxCiUqlwIXHEf7CoQoIhiypGZEZEtVqNi1UiIuR42uuRUp46bS+WOI7Qd+4cecVSCCF2ux3C0u1HVS6XGfvbcu15RIQyB/a2ktEkIXmCRZUQotvtch1nGW8717yCeJ7HZXBejJS9TJBKz6KKXkp/vky01qctFi8QzHmu/teO43Bh4lOCyhIPHW2Ll10vvh0NxC4bRlGklKb6j71CrlQhpRRjf1suNEIHZMZiA1n0BFJFpgAAAQBJREFUEJEQAkWszioPiJxc+28lIhQBYVCkhdYizxSLGUesDIMiIiIaDocoyGcvQgj7fllG4AK+eMWKQ69DHD2LesyLJnLlfJ2dTqfZbLIYpt1u9/T0ZH61IWBc12X0RbLooUO5QRZVuPMseoQQo9HIXhW0oSQ7iyrkm3NBPZTcY1GFyogsqricdBCusCetdXElXiyYXZ1Oh8U+IFKWi3QxbULstaGWhfxefvT+V8wazlo2oeFHyjEMFiab6/zmOA5XGAzx4TxGtyfjcqZDsZ63/bb4gQecHYpZs6hSec71kFB8jkWVEOLu7o7lLEtEWmvGWATGs0utVjsnZPhNQfELtEKyF/IllmEAAAEASURBVN/3u90uiypk+XHNVa5NXUp5f3/PooqYLC8gPmgS+9vFEgxkBIWOWVQREVAjiyqEbLNcpqm+xiJcoX5czjXcojAMWQ5LrutyNcGjgg2014YCqPaqiMh0E7EZD37I85wxyNI+5QuCfFt7PRBGn4bruFmW21/jKY1ysZhUobOQI2N3B7bTp9ClcpCrjGUjRiUkYtqooihC/x97EUJwbVRCCBBULLYJzcqokIBSlPNvI86yjFUhinf+9WPxm8K1fcKtyaJKa/3w8MClqtFocCEqNPyw1yal3G63LEMiInS84NJmyonbC07/LKpYcpONMOZhbDYbFj3Eeo0spgZxPovFgsXaa9wgAAABAElEQVShiYVzPjh7xawh3/ZU1fnHp+Ll+L6P2gWWhhQShiGXL5IxfIVrwmst8lw5jvtcK+RyPZrLltIhLIrOjM/jurNwynAhaNSMZlHl+z4OLiw31/M8Ri8wIzX49etX++VqPClcECGKIq7zGaMJcByHxa1JRFJKroASsMUsqogIPTMslSASgGVTJyKlFJdTRh8KQnFpq1QqLPF5QghU0GCZq+aMyiLD4ZBFj9aaq18WEQVBwGJtkiT5/PmzvR46eA9ZWEYu+gNHblTaP/0KOpvFMCPZ7/eMwbIsZSyJyHEcrlA/4kOfREppRaRJWGmDcTCtKyxFa41u72/PLRw9WbgNqOIijm1nKQAAAQBJREFUb9CTw14PDmdcFRPowG2wqNJaL5dLLmj/yy+/kDVnCSzFWPyiWq2WSiWWa+StqzKfz1lGlec5astZCu48WAQWbSwFgDCYbrfLVQiAJTcZUqlUGJn13W7HZXzht7VXRURBEDDWVUEDQBZVXLwsEoZY5nwQBL/++qu9HkwD2ECWaD+Wfd2AudPTyPk+luJRGc2vLUdlxCaJuChaa5akaQhLmTp6xmcOEQ/3oV+qj3iBCCEQ93WWLslRlxWCzpssqtDinatiDWOwfJqmjHkYXMQyET08PHCRcIzrH67bNwd2TiywUmq5XLKMCnwe153nqqti4i1YBB0sWFQ9PT1xqeKiUeVdtoQAAAD2SURBVLHhMdLhjKdB5GGwLEbTcY5F1us1V4gOow1EFTd7VUopFj4P1AA6kHJxVFyhn0mSsDS5IaIsy1icb0B4XNSg1poxN/HiFJMj2GogxNFE1YViZGfKBR95RRUM4Fl+W66CAkIIRi8DWrazqCK+0wYR1Wo1Lm8R8aUpERFXKT4i2m63XJZ3vV4z1kHlMgF5njMSS4zeQ67KF8RXblQpxeVNBoHNoooO5eC5zuulUollMxZCoLAfy3NkPDkTX7EqxphUImKcEoy1Bo/6aF8swMRcbm7f9xnr7DCm7qEhkL3w1lXhiiIDY/qjYIz3rnTG2w6M9P8AyzgS2JmvJMoAAAAASUVORK5CYII= 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mn>1</mn><mo>,</mo><cn>+∞</cn><mo>)</mo><mo>∪</mo><mo>{</mo><mo>-</mo><mn>4</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>}</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Tarteak-2-3 Expresa mediante intervalo el siguiente conjunto de datos:


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iVBORw0KGgoAAAANSUhEUgAAAzQAAAB2CAIAAACRaEHaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYUCAsykes7ZAAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nLy9ScxsyZImZOZ+xoh/vv+997838+bLV5VC1KMkhl6AWkCLRRcI0SAB6hUbYMkCCcQKCSTY9AIBgjULEI1QI1GwoGmBYNE01V1qpBZdrRq66r3Kly/v+M9/RJzR3Y2FnePhZ4jhj+PC9OfNiBPudsznz83MzZGIoKWyLI0xSZIgIkwgY0xd12EYCiGm8CGiuq6DIJjIh1kZY5RSURRNLB0AKKXyPD8+Pp7IxxijtS6KYjabYUv2J/7gPhwSERERpymKYrVavXjx4mBhAEAIQURaayHE9GoHgM+fP7948UJKuakU9r07xXv//v3XX389sfm4J9R1zT1hOrcPHz5cVt0FGAAAAQBJREFUXV1JKafwgXbUxHE8kQ/Thw8fXr9+7UWqm5ubV69eeZGqqioAiKJoIh8iKstSCCGlHC0jjwvo9iv7EAbDSimVZdnR0ZGbfs+e2XtvXdd1XadpOppxE89R2aqqWiwWFxcX28fOsDijaa6vry8vL4UQu1Ja2Yz9yQpsjCEipVQYhk7W0SrqyzYsY13Xd3d3L1++dLPxFMTTmjEGYKPAAABAAMQMv3y+ubx8gf26XZcCEd31zophq4ipqmoyFCdJj0+bFxFFK2pnBm7StU3M07tSKopim2WUEAGx35quUEKA1rosyyRJAMCWglvTGMNZqCV++7DgLCoAPD4+HR+fkKEgkAf+x6UAAAEASURBVIY0syqKIo7juq45OyIKIZRScRxXVcWvqKoqTdO6UmEYrlZZEEoA0lofHR0VRRGGodYNN611GIZVVQVBwA+DICjLMooirTURSSmJKAgCTkNEi8ViNpsxCFFKSSmVUpyREUVd14jIz+1XrbUVNYoiYwAIqrqSUnCbNL0IkIgADS9tSikyyKICkhBo6y0IAqUUi621lkLmeZEkKQCgaKqRJefhwB+4yDwpsdhc1cyTW6oqlTE6CAIuEaIgIIDmjVx7nJiIAreL2JqdSLa/TmclpfSyYjHgAKd3TiHuHwdk7M0CLBWDs15KO0PtlMTWdhiGJycnB0hl32iFXCwWSZKkaXr4HeNiAAABAElEQVQwt56E+7x3J583b974ar7lcnkwiu3RlrXT0j7LvNZ6tVr5Amc7e87+fHxVFABcX1+7OI+r5VkQ2a4xQRDwWmJHolvJdq2yr3Dz2lHTchV1pRElQH+dBgBjgIgEIgAZMi5zTuAKbx/aZdKunW5J+S1uGzFDy5YTSCnDMOTsLivLrdfKLgf3CTjtyCsZAACBBRUEhMjyIAIZIiAgIAREBETUihDBEAEgADzcP128OOf1jCuHyAghDL+aAIAQ0RAJRGU0GSN4JZZSaY0AiKi0FiiUMkaTNgYIgkDWtQqCQOlaCBRC1HUdR0ld1YhojNbaRFFY1yqMwrqqADEKQ6V0EARVT2nRygAAAQBJREFUVc5ms6qqtdZJkhRFEcWRqpUhiqJQKx2EwWq5nM1nxpiiyBhMJElaFhUihlGYZfksTVarTBsFQNqoNElXWZEmcVlWQoggkFleHB3NVqunJEm01kVRH83nWZ7NZrM8z6WQURSVZRnH0arIg0ASQVGUUgRZvkqTRClFAIGUZVUlSVxXNRcZAKI44mKWVRnHCRnDKXn5F0JkWSaDQNWZDCQZsh1PSEmkuM9Y2IGIRAywuC2accEgABGDQNZ1KaWsamX7iQVPDHoY90RRlOc5gzYAYEgURmFVleks1lo/Pj69fPkyz3Oudt6HExEjM+YWBAEAVFWVJElZlmEY8hst+CvLUtTKGK8AAAEASURBVEqZpqkxJo5jrTUjHk5TVRUDRB4OzJzBn9aacyEiw744DgBAm1pKYbcQvXHBiW3Bh1OQu4E0xgBCksT7T1Nc3iEhYl1DFIWIGIQd9M+iuhk7EnOtPWuuHCVjTJZlaZpO3LgTUVVVQojuLu1AVhatT1cI1XX98ePHd+/eQXdq3knDqZ8fokOuzL09WY/sYsNi5Hm+XC6nKzmMMbwHGla7fdemvDaBXSeqquI6twU5DDcYY77//vuf/vSn08GZu2BP5EZE79+/f/PmDe/8ej9Z/sYQL3LbpXp4eLi4uBh9i807AnabFbPzXjuv2ecujt+Ocd1fichFVPYnVwwiaJb77vQncfh0AAABAElEQVTH/yei5iOBNhoApAyaBXyQnogQEBD4F2w+NCVs98EEAForYygIAl54tNYAKBAZP0kptTZCIBnSxgiBWhteLAGI99BC8k5XGkN5lkdRBGCCMFRKCSGa1TEIqqpOkriuFZGRUvAGtyzLOIqruuY1u67qMIryPIuiiBUAZ2dnvKIsnhbpbAYAWus4juuqCsKQlRMIUFXV/GjOS5oxVFXV0dF8tVrNZjOtdZZlURgZMrN0tsoyXsMAIEmSPM+Pj44Wi0UYRdzKYRgURZEkyWq1IqI0TVWt4iTJ8yyQASJ+ub6+urpaLBZHR/OiKIyhOErKskzTtKoKFCiE0MrEcZJlWRgGHeVNlQAAAQBJREFUSmsyJp2l2SpnhU1V12EYaKV5uZJSaK2MNmk6K6sqDAKltJDCaCOEEFKQMYBY1zUQEEEcR7WqAxlorQkgDAIiquqKN5bcaghgjDHGEBBDOiklAjIyCIJmvS/KMk1iY6hW9SxNszwPg/Djx49XV1coUCudJHFV1WEU5nkOAPPZrCyrIAiUqhFFEAoGCnlehkFoyKhaJUlSlGUSx3mRIUIcx1VVp8msrMpAyqqqUWCaJkVRBoFgIaMwLsoyTZO6qlEI7tRSyrKq4jiqK2WMNoZQYJokdc1pCBFlIKuqjqIoz4tAiiAM+Tmn4blCoCAiIdAYQhR1XWdZdnp2CgACQWkj7JvCVH8AAAEASURBVCYB+ysFESGIdsACIPTm3s+fP798+dIF+nZ0u4C+O5bHp26tNS/0LhM3sTtp9Nj2pprlchmGYRzHbkqXIXd1d2odisTPF4sFAFjrVm/lctfW7YssJ2Z4Ot0QUdd1WZbWULY9cWei55zz+XziiqWUYjg8feVj9aAXcMaIe4t9bX9SSllWh3GzG3djzOPj4/n5OQxUCDvBWQ/qsd776OjoAHnsG6EFZ1EUDat9i1HGJmAcZsfVx48fR+1rVnlrE7sfoKsG4Ce8alqQ4WbHruJhFMrYQW6M+fLly6tXr5gD67GtRsHlz2pqzsKbTis/K6ullDc3N6yT4K+sfuftqdYaSMTLWjpGAAABAElEQVRxmBdlHEVK10RkNdh1XVsFeBiGeZ6zBd++kflIKXlbyTUQxzFDZ2OMUiaJk7quozgqyzyOYyJi28fHjx/fvHljd8BEFEXRcrmczWZZlgVBwPta3o+yfYHTrFar+Xye5znv03gnzVvVoii44EqpJEnyrAyjsK7rIJCMWqIosqYNVeswioAgDIPlapUkidH68enp/OxcKRUnkVI1DyKGFGVZhkFUKwUErB2xjWLbnXUGtkKKspzPUhTAtgAEIWXTRlJKIVBpzVogRCTTdBgAqFU9S2dlWSVJDAC8A8zzfD6fG2OkFFobIQUCKqXipNmsM3GjhEFUVbWUEoCquk6TpCyr+hyA2gAAAQBJREFUKA7quuZlm9eYoiiCIFK1ElIEUhZFmSRJVVVhGCAKpVQUBzzW8rwIg1AIqZRK0ogNPXWtbm/vrl5flWXJsAAa+4aKoqgsKxlIrY0UKKUoyiJJEu5UXKgkTqpKBYEkIkOklUIUcRIy0JEyIANSSqUVd3kACIIgWxVpmtZ1HQSCgIhIykArHQSB0hoRpRBPT09Hx8dkGuggJHBPbgEBCCkADLKqDwQgkqP/s4NUa3N9/eXV65c9fScQGiIERIFApt17tNMg2W/OWmvIGC2lHJg1h0QtC+bQn12XyyUZOj7pea2svT52LudNBkNamaIsZ7PEpnX2qGDX3p5Zc4yEUkrVKijwnQ8AAAEASURBVJ1NXVWZ2I40HW0QEU+A012YGJxJKRm7TOTGk4ZbwP0bbsiN5ygvegHW92/xLrDUUePzjDC69I4y2vTc9enZ9u6BIXzI3850m967XRPgvoL1rnu2zRAluD8REa/uzM21NTDmgFZ1MZSkx4eXOl4d7QxFXWuIy4T5W7OIi1HKsqyq6vj42H1oIamFDiyq9SSQreacV19eUXiKl1LyqsmqaebAim5OwC+N4zjP8yiKGLOmacr4YLVaJUnCNX90dLRcLo+Pj7Ms44zGmDRNl8slL1fQ6gN4geHlvyiKNE2zLAvDUEr5p3/6p999993T09N8Pi+KIggCXqc5TRzHXBDWw7P6KVPsAAABAElEQVSKm5XeLE9RFIjIkEtKyVtwrknWhXAWW8m2Gl2sZlukcQsIAoYjXIGMzKwloiiKKIrJkJBC1TWKZu1hYBRaDUrrmnB3d3d6esoNxM1hxea248phObk5jKFASkOECK3BImDVC78CANgxIM9zrqhGC9KaGNhAY7tiHMfcjvw1DMMvX768fv3a9lJulLIsoyhu5YeqqmazGdsvmFsQhMy8qqpASmrHoNb67PRMGy2lICIGiG2vpgYeA487A+0AZMAkhdDGsGBcA0kco7DtBZ2xjUAEZNi+tjYsNmo41vYhAIEhKssyCiMpBQ8zoHbfSoRi7S/FzcfvsjMDsu5QIFHjlrRYo8JpKQAAAQBJREFULFr3tTWsWCOKLrpopxoBBM0roVlCqrIiwCAI2KgKyNbCDrKgDkrpTl/8FBGIDFGWZbM0BVxvrsi0Ok9wpyart3QmnuYf4iXj5vr68vKlNWuiaGdgahk52lyB2NZW+5nWqYwxQSBdse3v9q221livahMj2noFMvSrX/349ddfCym6xRlS79f+HFuVFQCEUeg+pNaibZeG3eBMG2Moy7Ojo6Ne2nYH2HyGppWIaKNsrF6NwpA75ES6vb09PT3dZH3bnxhRzefz6eAMHMg4HZyx5sz187F1+1zmvnzomRWvmPv0H+SZ1C7YrCGArgLQQhDrJ2g7qP1gV252FGAdPluFLYQUdDkAAAEASURBVP4z7cTK5mQA4MScEVqnN2sXB4DVanV0dMQLiXWyY7ackTFymqbssUhd2znvsPktSZLwum699rjGOaVFgSwec+MPURTx3ppfHcdxlmXMPAxD9uxjQGA9HxmpsBiMcqxewaaxhb27u7PaSrtsl2XJQJkrnCvEamu4pNxeDIKJiO0grDmzGizOyGWxih/LyjpjAgBLaFsQERmo8UPb3GEYLpfLNE0ZOltXAK4NALBuCuwK8OnTp7dv3/IabJvDLttcUbbJrNcCEbFXNUvF1hxeF22zWrdQhmLQapsY4Vn1LbXKKlyv9PLx8fH09NRqrbjUVk82BM1cWAayttvzc9ZRUevo1c3SAAABAElEQVRMylnAwfeujrCXwIrECfiNvYcjg7br8NQb5PzT+/fv3759a3F8b5/gptw+RyilGHgNf9rHka5Ht7e3Z2dnPS+xPfdLLhFRWZZENH07a8G3PZezKQ1/3i4tNyKj4U1qCYvzhnzcrbIQQildFGWapCiw51//rMrnN97e3p6fn7sdrNe7en6uNlnvRVz5vMBsV/a0fNZqod4rjDHX19dv3rwZFt+SrShX1eQWjouCiGVZx1EEuK6r5xK/K8sy3mS6D3uy7dNpeU7m3aPr0QuOTqGnQek2itXqEQCx28OLFy8mdngmnuG9gLOnp6fj4+PpwAUAlsslAEy33dGY5mwKN15TA2drIwAAAQBJREFUppfRnurYC5xVVcWLK09PiGjPg/D6ZM8agKPUYd2DVSdAO3o5MZMFee6yZPfWXHGsG2BNAzimHPbgsYDGgieLHhhRQasVYIRh5eSM9iEvz1mWsScHOUoOxkDUqvStpQkRWbliLQX2vAl/vb29ZV2uNYpxVVgoYFNCaxSz6zoLaWHoYrE4OTnh1nKXZHSsAC4Otj0GuisrVxE6BGNqv9E+4a73RMTTk2sh3ZRxlNzEVsU1fU5h/fmQDw60kpsIWyfx29vby8vL6SLZydSiuoN5aq1vb2+HLoNbSrepiQHg4eHh9PTU7UuHSWWMWSwWp6enw58O4Pzp06eLiwvrbOuW657ZMA8AAAEASURBVFl8LJw6YMbsYSOWIc9z9r4f5dar/+3gTGvNWxFrLO5NxC766WGsgaOCubm+ff36lQUc2Or/ejBunyKP4Tkr1XqzAd2WbaXtgLOH+/uz87PRanC6q81Cjcav6/gI7bH3o6MjO/u5b3erXfQPSLnMG9B2/eX65ctLFGILOOsWyq0BsBq15XKptW77PLb/bgN8W6A2rztrbeXAy6LXG7vDai2tqpUxFEaNk+UWYfYB7k9PT0mSHHBuejh8+IjldJwH7RK2fbHYsrdx07Dn5fSICuAbnDHcsu4rWyjgIxJ20eqhaaukgS5WcIGX6wwIbZ/gJRm6ExkRMRSzr5jNZi4HC5JKkEFwAAABAElEQVQQkbcU1kBr9Q2c125r+Dlrj2wa/sr/2lWTzS62O/KH3uE49rOxtcY41R6S4AmCXXDm87l1YrVS2YyWuStzb6W0hrOTk5NeU9lKszMaDJaE0a55f3/P59J7HLbn6v3EzWTF25lxCysAyPPcmur25zAkVghvkuS5zO0JxOn47MOHD2/fvh1to2eREOLs7OyA0o02sT12PbGAjNRHwdkBnC8vL0cB2Z7Y2iXrKvfcjD1iGeI4fnp6Gi0mPL/z9zBWDz3vz62u6+PjY8dCeHhrIuLDw8PZ2VlXmA44s/x31urJyWnvGIrNPraXGAfxnJhNwMO3773jsrZPSJJkTKj+SwdsdHUFnwAAAQBJREFU+4ZdNgt0fz2EEJF181ZrAIOZebSMg9kSiUAGQbHMwkhOEckSewUckHE4kydJ4gWZAUCe50qpKTEHLHmZHJjcdXAiYXsAdp+B3PEwswdcN63owxVodMixsWkTn56mcQs3IQTjm+0r3yYObi4isu5WOyfK0YcuBmUN2agw21kNv0opr6+vR8/oPZeIaJ+wDjsJEfloyKa16lnEttfpnRsR+XjRdJEAwFfsLvIXaYLaM0FeuLHfmBdWvTBUU4g9NYfPd26U3Se8bXAt6c+i3gxArbPLJi3Cc6237prnvmsfPq5+hYjiOK7KenQxPmBAnZ+fD7pEZ3neKqFNKQDg/v7+4tri+/8AAAEASURBVMW5FH1v625j9dd+91f7OUkSANGaLNdZWBbLZ1TF2PsahOzSZhyDYL8IPY3jKD4p8lJrc3J6wk5x/LCHpfbcbfY0F5uopxQc1gaQ0Eob0+y4bCmsGMNhsp286IH4vewCNP3QHgBYJ+AttGfN8x7JdQc/mHDM//tgGkWNXXVpQ53mYY2il9e759qmEHscT+dDE+xNQ2JbjxdWRHR+fu5Lttvb2+lMnEnTA52fn/tqwffv33sBHETUU+FMoZubG19SeYkyyHR5eTlFEneu//Lliyeh4OXLl4ft13vEG9Dp/cra0ciQlAHsoTTaSdYD5LmSDNfXuqrqut7l3r4v//fv3+84qnIzAAABAElEQVQj2K4aIACaz2fCiRU3pdKiKILm+ORQ39avkl4tuV+J6NOnz73sXc6j++SRV8dJPJulO6t9n1LTwKtsDxpWBcOv7cc5n0dZlvmabaIo8qI54wnQVxk5gKgXVuB1ct4fivTBGVuOJhL7NU/nAwDGGC84j+Hz/hqvndx8xUwnovv7e19SzedzLyLtbVPYTQ8PD75K980330znw6zu7u58sfJyxJpZjfrdH0a8Eh9Mrobg9evXPiQCALi/v39uFkQUXbLPp0+XvLQLFBxXgiNm9NLs4x3S4zkMereJNjHnUkdRnOc5tU6NU8AoIvIm0NanNSz0KrYHfQbYghChqkuOstFL8VchuwAAAQBJREFU6QrvFtAC1t67jDF3d3c9hNS+kY/uGhepWDQmnJA6drV79/U3AAJADJAZCQEc1dbSAJyt31KWxXK1aB+K9q8zxvfXVG1HG73ubQsuBHQeIgiJYavcHZRi4zDZRKenp150XQDw9PTEwVmmk3scfiLFccxOt14YCk9nCzapOUfVe50BKYSYfrMKNEGG/NhovcjDtMVycQA9PDx44cOIyksHeq5me4tIRORrvF1cXPhSLN3c3EznA+3y6WsW8HKPArSutV5YAcDbt2+nZLeVQ0S+ujqs110PZM/o7EnUxuVxeyPPiYagva9s3AJCbZTEfZhje59ML81O88qQv9IqSRIv9akPK2YAAAEASURBVDUqvNvKDoZA1yxoC2V/JYIiL4f8LAdq3ZetackeUbRf+VcpJftr9uy/RMQvsqioV3XGsOGv47P4+PgAZNis2aPRCnGPT7l1EgSBs1IYaK9POGwe26RVGnaqQVWvHzaspB+HMwBYLBZetB7kKXQoUxzHXYe/Q4hrrK5rjxMX+NCpQ1tdsJ9mfb3XofVdZlPJFx9oQ69N58ObLY6nNZ14G+qLlS/tq8fVPYqiKcFsXfr48aMXPgDABwum80FPHhJMnz598sJHCOHxoqQffvjh4LpyVyxs7znxQr3LK6cQx2F51ow5TIzYoBAh5Wq12omfdnK2S/4wzXbm2B6Bch9yvBhac4xbAAABAElEQVTw1OdXq9XQH85u5d20Q58tF5wB4D5G8501ycsEd9SxykG3zjYlsHIi4vxoZiO77QRnrhhubx82BCK3wIFr83MR+ZjATZr7+3svNm4A8HW+EhE3XSN7AKu6rh8fH6dP8oyBfK3RHolR457VtdacIWJVVV4c3zx6z3FITC+sTBsSbDorIrq+vp7Ohwkn2xDtkjDF08ilqqr4KPJ0Vr4AByI+Pj76Mvwvl0tf+4ef/vSnXvgAgMdO9erVK+uLs13rs52MMbylsWqPKVL5siYTkb10cv9cm/R2iGCMns2TLZXEGTfVpIsDRBsVb3p1IUJVFYjkZTa9uLgQTuQ8t2N0AUGjdZ1vpQAAAQBJREFUK3If9gpy//CA4MKXEf2TW1f2ay8lIr5586ZXVy1iZjHICtAV1bR/6+Z4enriX92iben8jRhk9XANVVU13DAfANytGnVTAuY5bIWxMWsQ6ez8BNGP7rlq3Bk7dFiPLYrCl9aDbZG24fYXpteZhRAcL8nLMPRL+6v8OwhuoluDy8cXouKQpNP5MJSuqsoL4BBCeDnuy8Rhfryw8qXFCcPQi/saABRF4UshDAcdUhtl5SuWIwD88pe/9DL4jTG+sDU4oTQmkhDCo1/t69evfQn2XD6b9CisFwkCmef5ph6xv/bFLq7Pkm0TEVEUR89HBeO0WCy2wJShrmjLW89Oz1xU1O9f5LIAAAEASURBVKvYrpG0w3xYUcMNiU3OEHeDvnOE3KP9Lm3D02NWwiRJhtP7YW1Am6MwjHXFbS2NjT3K58k2LzSbzXydMS+K4gC31B5x/UgpfS1h8Hwnik2EiPt75Hf6DTviTJ9ZOL7rRCZMHEF+Oh9s7xXw1bM96vO8dEfWCkz0NLKklHp6evLCyqMnnBc1NQuzT53vqXN68+aNl06FiI+Pj9P5MC0WC9PG35/i6UVEr169Mu2FVBPB8c3NjS+zpvV0MV3aM3svk1JGYCcwxM6m35JGiECgZH8pK1XP9WqfQdGDelOUoER0dnYGA5DR8DSkFVgHr1H/vJYMgLm9u+YL5l0doTEcw0LdlarqAAABAElEQVQgSmwrs9f3eo2FiEmSOk73TRoisnyEWLs0CeeuM3QONPCvURgDCWOAnePdlMPu0RQcCBrv+4aPMaau66enp+GowcGBhu3EYIsX9X2mQSshNvpXbOOJoBXM1/o1Gm/5sAFeluX0c4TcHGEY2rCxzxLGneVsNXIIfS8qJ+MpkAUR2esKd1In7jMXZroEvSuip5CXA/MwpnifQsaY1WrlhRW2p6i8cPNiNrI7Dy9S+XJugDH3NWppfyZcqJOTE1/qjcfHR1+sPKrf+eJXL6zYr3YiN24mvvh1ukiISIbqqjb68It67EcAQITR/eSwg412OfuENTeif/sh2uTPKv7BUKwnnRCUWwAAAQBJREFUGwAIIdzzNH22z3OrwjSdIT7j5qgtpZjNNjmAN4coXdsobEA5/NPT4glwJDTGPuK5PKMoGo0sP5q4/cn9WyfgFtxZCe6vTuLegb7m9tUDJr0hlWXpS+uRJImvuEsA4N6zt39Je4nZrMknnb1MOPbSxem0v+qqE5Vea22rZgr5gpng9XiXaO8ZnE5E5Cu+ACJ6CU4GAETkK5SGlPK53tabaLlc+jr4+e7du+HDw4RkwLE97z46JyLypY4lIo8erH/4h3/oa+BwpLrp3Ijo5ubGzxxHACBQSKLnRRCw5GhBUAgIAikD0ft10/JgH9pqsWl4Fs3zDJCEYNAgeuCM9o59JXA2h3IAAAEASURBVITgi9RcqZ7bEFY2viOuJ4aNyCAkDIJHNDJ0K1YgoBQBK8nclACAjRYKbHK3ruy7wKn/6+trAONmsYK7+GxY1S4xt8vLF63z/rPrxzYf2/FZsz6scJvY1di1P42As/07JA3ig7jlAxCIIoxiF+w9r5xdOjo68nXQZ7VaTVf5Y+soZt1gnltMt6cBgJTSYzBLexPjRHqWhqijOZNS7h+hZ7sEvmCmL1svEfFdltNZAUA7p/ghvlNlOh9fx1HbBSafzgoALi4u+OaJ6axGPeoOAA3oL6IYIvpSMRLR3d2dF2UJAPzsZz/zNTENg9BS16loT0LE4+Njvjx+omzUhG4nITurzS5RAAABAElEQVRmuOdKZRy38WHenoNU74nFCsaJQs5rAzs/GWOIjOO63ue2u5hEfLfeswplpbKAg+16q9XKvdRrD7adMq6ZA6xWK7YgEXEZm9RbGsI+t0svf/3mm28sghnWz6YaG+1C7AC+pWth95hCryrsT0EQbNrluuh2TyO1WxVu5Qwzul9ZKJaLz2cYowEaANerk2cNKH7vcrmcsli4sCmOY184T0rp3uW1Ty+11dhLSUQeo2d7dKOHvX2iOqPCCzKzDL3w4ZugpvPh0nmMwO7lwiUmL9pKACAiLzGEiYht/16kur299RVaMEmS0YnVV2c7gKi9YXc6KyGER83Zly9ffFXLEMgeUxG5SgAAAQBJREFUUF47wxzMoccNEKQU0yMLkHPQZFPvQifOwhCcrUVykNCw8hEP6a7Tgax9nXs0Zx8xtqSxwQsRwdpwDwORnz59shm3VPg+3LYD2WGTgdNevUoeRfnPbT7mecDmbVBuDkuLZVnwgYChGM/tJBMDF1hwxrsRj1oPG0rjua3fS4aI7GTphXzhImi1YPuk7AShtd6I/7+9fidJKb0Yxai9W9NLLbOSYzofJl9WP/B0DSIiKqV83VvAwcn2YbVT8+HLl5yIfB13QMTXr197gUFExP7yLreevmF/8qWOBRhxxjrYx/b6+npYVwdovHijbHc1OLAxbcrVq0lbEKWUu0fqpaSu25klCSAAAAEASURBVDvLy3/dBEDNcTpBA0PeGJMdzcomtuEyvDMjdiN6cOKrqyu+188M/eJbhMr1wX/2td3qNQDm46f3FhaP1id/4z9rQHYLgq3F8MWLF6PVMvTvHq0fcMaI0QCEAP1QJm5tiPZ8QIstwBhAlOxCx2m01lmW9dpoVy8lR0UK4KBqDlA1HNdEIxbkYVex6QGAPSjsr1aqPcfjUJ+6M8smct9YlqWvxYKI7In1XoWPfnUHgjGmNw8sl8vpIjFprX2ZNaMoevaBAJt5ugQe79asqsrXwU+PUiGir7jwADA9JrIlLzH0GVv72nbkee5Lc+bL0goAvlwGeevvq/k8xmfxNTEh4qZ9XZoxAAABAElEQVRA29s9QkZ/fffu3ZYxSC3tIxhPlwfUPI0QCCHdr8zVuhCNshlzPLceRwSO+9F2IbekMcZ4nBwOuEitU0ctIeLocRPrdLWJ1ejD0bjZo9PFzv5WViVtfFX/6KsVeEhRFLmzn/ve/fsntNgxiqKtyGndi3YxRiIwxpV/L0lGO5jW2ldsiNls5tGO9Pnz592JNgMVW0xE9KUhgv1uZN+HiKiqKnZ72Jm443PGm9Hpc4EvWyQAxHHsJcwStSd1vaAEAPAV2QUA2NPICytfg4Q1Z15Y7U/b93+8qfLSfIi45xSwD6urqytfnWpole5pX/YnXys6EW26RvYAcPbhw4cgCHoNE6MCoAAAAQBJREFU7X7dU2yeeQ++JnkIzogQQZJBY9h5f+3IP4QmQogeOLMPEcGQ5vMKo9huk4P5aMHF2B3qeGhslLOzM9aXuJW/k5sVz2YkooeHB9a1uX8OOBMsu6uBGy2jaIPiulJtkcdy6HUhTn95edGGpR2pTHQOeWy6MZNJKdXTYbvgzOU2+gpLnH7LbqStHOL+xv2wV6vrP4K6Uk4apLFzCaOVNuyEHo9YeglOZsm6dmyZJWBQ1RZ5uy3l65IbAMiyzJfplk/a7TN++xefe5HAYygNXzjPGZYeyPgITmbp1atXvgx2vg5+8mlNL6w8AuK7uztfLejxMu+bmxtfUnn0OfV41dXnz9zLIWMAAAEASURBVJ8HaKbjaLUpo/uVc11dXe2sK8vffVfv7a51ZguTfdqFCInIMM5DDklvV/eRZX6UrfMQhZCjF6gfQOSYILfDuH3I3QT2+IzW+ag8AACAQbDXnLyFm/3J3eWOtuY+Bjh+xfv3790sm3M1wVOco52dhg6C8NWr10O9mvtkn4bgNZj1N7u6zTgDtx8SkCFzwJgegnsAKMvSlyEiSZKeE0Wv3UenDpfsT4i4p1RbGNpNwsPDI+zXUjtpNpv5mpz39wvvQFGllBdVp/F3fRPRIefCRukwI8goCSE8ru6+EJUvbM20p+p1J+V57qUFEZFjOkxnRUR89ttLLy3L0hcMOj09nc70hYD5AAABAElEQVSHySOQ5RPpw9lwu8ZluKcnovv7+33qyp3W7YceGWO2n6TZNSlj6xGFiOjE327+WPExqoOhgbfQ+iEhEQghsB/q7EAa1sDBrNzm6LHqLaWjeds0AgHns/lobP0t8g91wPyTazTfpI5yPQt7qMtmQcSvvvrKfcsoN/6RVVZO1I9OketKPTw8Dqqh7TDd29ZdFc4oDBptONFGzdheedwPmQ0ipOkh5hq33qyQcRz70pxVVZVl2XAz1vu6pff2BvU+L90JzoSQ9ubA6TOhr/C/iMj3zu2TuDNcoyjyaKb1Qr4OkBJRVVW+oh6AP+8u8heZU0rpJUIEDxJfwdzPz8+96D6NMUkj3wAAAQBJREFUMXd3d778JHi/Pr3aaT9t0J6sfvjhh+l82E/WlwnYGPP582fs0vYs1HVnJkfRxed7hr7VtOE8/PCrXWOCILB+n+4WzroJW1HHXbkJ2C2MX8B3qoiOyzbA4P7v7YQIgARgtFZONmQ1zVj6fn3S4CBCb7tlE7vu847MHS/pHnM3sCr/1EtpNp8zcN5iCMznL59p7f/u1i2NPVzLNiz41dUVDPrMaG24eUeF/NWvfrVlJNLYSYjRviEDkSYbXYp7L3D58Nt7bMdEQvc2T0TcUm/uixgiWJ3fsOe4NNzPuGmWyyUfMyfn1IjN1csOzrCyv7rFxG4Uld7rLJPeu4wxRpNWhtURtHEAAAEASURBVPgkDQAAvHjxolcW+0Z2YzDGEAEQkkEABEIyBARACIRs7SUCo/X7Hz8AIZ/R0dqQIdP+aWWMdt6ijdHUpjH8It0SS86flVLGGKWUMVTXStVaa6M1GUNlUWll6lrXtTbasFaCp7uqqsqyNMYURQWEq1VWFJVWJlvlSuk8z+u6ruu6KAoOYqWUKoqiM/L5hgAv+GzY4w+joii8uN4zYmXP9OmLFrV3oUwnIiqKwssmxhizWCy84DMp5evXr42PYMJ3d3dJkkyPjiuEmM/nvjRnvjA6It7c3PACM5GI6Ntvv53Oh+nLly9v3ryZzoer3Vd1xXG8XbnrqhOGL3WfsHfsdtVHluHcAAABAElEQVTdboGoQV8ykFVVGSLRyYVtor3IZhVStKxskIj+Iu1ORC4a66XpTaR7NoSLTS3P29tbe5q7p7bppdxJ7959venNO/P2ivDly5evvx7n9tw9j9WUTORGNO5g8NxBYNrzg9jvVP0tx56yKaVgfbfmDml6SNRqH/kJhyUy7fZJCMGX8TAW4U1UEATGGFaa8sm8sizZAKW1juM4y7L5fM6wgeFFkiRKqSiKGIskSZLn+Ww2y/Ocg3eUZcn3F8VxXFWVFIE2pLWK47jM8jAM7+7uOFCL1jpJkrIseeEmojAM67oOgrDIM1Z187vyPE/SRCsNAEKIkpmX5atXr8qyqqoqSZJakHskPgAAAQBJREFU1VII4g2UaIaV1jVrf4xpei4KlBKhxUK8AvIHvpjb1qQxtdFEQIgikILBZ1nVwLfdIwghyrLkKqXWYhsE0ePT4vj4SKBQSgdhWFe1DJraFkJwiaqqQsQ+OPPiaeTxbs3ZbFYUxXTAwdXqNwitl8XPIyGil5uzEbGu64eHBy/cfMV04AmCJ4vp3G5vb7/66isvmMPXRUmI+OnTp00L1f7E9cMLlXHiox5Mh41lq4xxH97c3LhBR5k4jWiDHbgPe+T8SggiWxVRlGxSNpiBcq4rH7GpiAAARF3VWmtEAdRRcmELNxD5okOLYzQ4S137EIwGBKkVtdYvIiAAMHzmANcaArHEaQYAAAEASURBVG4ajlrFL9WauNqIrLoI61obTWTaJUETsEgEgEiGEKFWms1W7VEGQsQmAi4CEAIQisY8rTVZPR7LZpcct4r4GREJRAKi9iZNIIEIP/zw47t37wiQ34FoiABFo4lsjkFYLxIE0/Dn+4eAR7ExxhC8enVlNGtWGvwAbVxfVoEgEiCK9qsQaAzxvwQkUBAQAhqjF0+rNJmruhYCDZEUUikVBNIYMmSCIFC1CqOwrioiEFIYbYJAamMQUAislYrCsFbKaFPX9Wq5iuO4LMs0TcqyCsKADJVVlaZJWZRxHOV5HsUxAlZVNZ/P8rwIgsCQqav6+Pgoy4soDPM8W2VZGMRZnh+C54KPAAABAElEQVQfHT08PB4dzWulwiAQQiyWj6enp8vlMgwirQ0RzWbparVM0zTLMhTEAszSWZYVYRhKGWVZFoZhnufz+bwoChsbhVf0MIzKogqCQAayrqokSVarLI6jWiml1Hw2K8q8wToGlNJhpOMoqurSRmhnOMJr5XK5tME7hBBFUbA8nFIplaZptsoCGT08PpycyDieFUWZJklZVGEQEUFR1LN0nmdFms6KogijIAiCLMuP5kdFUcZxXFalMTqO47ou4zheLpc2hB5XQpqm9o0M/vIsj+O4rispZRhJpavjk3mW5WEYAZE25ugoLctyNk/u7u7Ozs6CMNFaz2ZJVVVxFHZPeYe47dGsPgAAAQBJREFU94mKMAw5gDZMCOpkjDk/P1FKhVHrih0FANDDXayQQqtvJKLVapWm6XTbHxHleX5YbOshnyRJpq/HrIpkveD0pVQptVwupyvPuNrLsozjeHoZ+ZDRdC0Ob57spmEit9VqJYR4VgFdjYizUzGfPn26vLycjvtZZT10ExmqE/aBld9///27d+82qRj310mw2vxZuyMrIQJSV2nx4cOH169fN74mgLyAtf9azEE9Ph0iICBj6MOHD19//TUbX3pNA9BXhNjpRLQxqFztkdZaKZ0kcSc9ESA0izcv9gAELlywGixr1CMgyvJ8ls6EdN8+0KW1peV1vjUhQcuW+EgmEGV5kb0mL6AAAAEASURBVCaJEIIBiGFYhUikheC4spKMQSEQsK7LKI6MNoZISqGUFkIYA4EUZVnxGqOUCoKgVlUQBHzkIAzCqqqiOFKqZnSilJnN0myVx3FcVTUixHGU5dlslmarTAbBcrGK43g+n62yfD6blWUhpBSIZVnO5/PFYpnOUq0UaymKoojjJM9zKUUUxXVdx3GcZXkUBYb03d3dq1evnp6WZ6dneZ4hiigOVqvs+Ph4uVwmSVzXiojSNM3zLEmSsqyNNlEcaVVHccQR1xCEUjqO49VqdXx8VBQVkUmSuKqqKIrKshJCsNkpDMJa1VEYVVVNZOI4VkpJKXjvJ2XAV+J8/PTxq7dvi6KEoE97AAABAElEQVSUUnADBVJqrQmADBFRHEdVXQcyqOoKiMIoYkiKQmitERAQpBDG0Gq1ms/njUGNDAIIIYUU7JsYyICAWL/C2wZ7c4khAqIgkLVSURhVVRUEUikNAHESV2UVxVFd1wjNGeEwCuuq5i7KIpVFmaRJVZZSSkA0WvPDKAoXi0WSJHGS1FUVRhFrfMMgUFoFgeRKKMsKCOMkzvNiNktXy1WSJsZoper5fF4WZRQnVVnWtUrSiPEEG+LZ3scn8MIwzLI8CiNW8QWBVLUOwqYgLGoQSm6pLMu10scnx0QkBPJ8uKdJoaOXNc4Y5fpoBzu2WxNsx5kzb4hmkDd+dc2hXa211e9a7fFfmQAAAQBJREFUUGjnmRarNBNC+996ODd7GGzmoIeHB/fe6qGqePh5U3lZbZYkyXRwZiHNzveuJ2W2vY6pYZ9NRVHwGjNxabeG3ulxK4wxWZZxpXiBQV6kYsFubm5evHgx3YDIAHS67pOIlFIPDw8vXryYXle3t7dxHM9ms02seDIFx9DTAwo8RLl0jK15oNrE9usQYazhS3tpHSJqrT9//nx1dWWPu9sE7kh2bQGjqgX+wJMd2I1/CyXdaYU3Bq5VnaPu2dvJeMV6fHw8OzuLooidS4IgYP0/6/Z5OLRb5JBjF/O9F0EQFHmVJLHWulZ1GAY///nPv/vuu7Ks4zjWSvP2tKpqtjgw7K+ExecAAAEASURBVK7rMk5i1qizhIi4WKxOjk/yIk/iJM/zIJBSBkrVSZIURSkDZNtEmqZsjs/znBXydV2nabpcZkfzo6qqCQwAVlV5ND9iVfpqtXp8fHjz9m1ZFFEUl2UZRZExWhsThVFRFkmcVFXFjcK7ZC5p42tCBARpmrAbh5CiLMrWH4C0MQIFe6cAAHvdslS8UVZKBWGgahUEDSwARCmby6T5CFUQBGEYci6OoREEoaprGUghhKoVIgZhSMZEcVQWpRCiMUAEQZ7n6Syt6zoMgsenxdnpKQqhlRJSNuApjbVWQRBkWZbEMwAoy3I2m+VFniRJXddSCJYzTdPGilRVZVHO5/O6rmf6uAI/AAABAElEQVTz2Wq5CsMQBRRFfnJywhoF/ldKuVgszs7OlsvlLJ0rpZVWcRTzHr0sS4DGd2c2OyrLUggpELQxEWOIOKqqSgoppaiqOkniLCviOOKamc3TPM/YOBXICBEfHx9fXF4URRlFUV3VQjb9UCBDAZIy0Fq3FS4JQGsdRyEXVmvNnvVa64fHh4uLMzu4eKTbucIdenZkMSjhlHYSEEKURRVFESASGSH6wxlaTNY9GIEM71wqiuzu7u7t27cAMAwF6lLvCtHRNE9PT/P5XEq7pVzriZ0sI96N7Fjm6pIXi8XJyYmdWIYzqp213BXcVSHb97Ktzctiked5lmVuFKct2vrt4Ia1wEpRmgAAAQBJREFUHttPmrv1NlpSLiP7h+0KMrcXGWN4rvOlJOKafx444xnBHn5x07lr4TrzBtUCD+l9/Ki2Q3UiYlWqr/plVu6ifpiEozqqHlwY8gFHj+J+4GofDqr9yc5fnz59YmPrFlUNtsYmF3nwTzzx8QLJKmU2ybseCbxR42mR+TDO4DXPbr+s18JqteLAHFVV8YrOwIKIkiQt8iKOoyzPAYiPKzerV5Jorauq4m09eza8f//+6uqqKIqzs7M8z3nRrev6aH708Ph4cnKyWq0AeOvfODpIKcMwzLLs+Ph4sVjEccxwfz6fs8NElmUWDRwdHeV5bnEPa9RZcqUU52WdAadBxDAMf3loLOgAAAEASURBVPzxx5/85CduIJwgCLiYdrJwq8vuf+wsyfXJCzMrz1n3zl8tsAOAMAyrqprP54wJuBrn87lSGhG1UkrpOInZzYJPwDCySeK4rlUUhatVFiex1joMQhSgtWZXEn6RMYZhUxLHSmkCEkJ8//33v/7rv95YExRrd2J2BuXq4vrh6pql81opKQUAlGWZxElRFrM0raqa19SyqmezdLVazdK0VrUQAkEorZMkLvIiiqKiLAViksZFXqSztCgaowYD07pWYSCruhYoiqJIZ2kQNDAXAYxp7iYhtnVSozgzjO+1FlJqrQUKbBdvYwyiqMpKKTWfz1qNnTNMmlHDBjcQ2G7M+TnUmFwAAAABAElEQVSAIZKsLuJcZLJVPpvN2gObjX6F3LBe0Fj6mJNAbGyUorV7IgCBMWa5XLF6Q0phlX696yx7MzPaF9sEAIbMp0+fXr16JYS0cIRMcyCCJwKuCq4yxPa0BGJj/+WFH5AAHh8fT09OHLOuMxc1tlSyv66bAPvXkmutVV2HUQgbnPDAmTN7k9hwV/b997/sGc3RUZS6Uyu1twUwBHK1yACgaoXChjAdTsguMlgzhO4kb5/neZHECa6lIkRXD+Tis35tuq6KZMzj49Pp2YmLXPuSdf013Vf08FyWZavValMIw/2JZy0i6hk03F3xUMJNDxmcHR8fb9EQ9ept2G341UqpDx8+85gWrAAAAQBJREFUvHv3bshnk2zby8ibzwOyu8SaMz55uRPVdLoImzV7nXsT/LJgwvoH2H95de/do8dLVI+zW067JbLFYIjA6yu3Fm/BGQRgq/bkhxY31HWjHmCfQV6oeGfMqmzGH3EcMx+WsNFXhyFn5PZgpQWPUs5rNRm8xPKCwQuVo5CoWx1+cycBS2Ulh9a9j/Hi4+PjbDbjrpmmqZUfEfkDL5y2tnm7zI6QrLTgn4qicKvFOnJySbk2AEBrzV/d5d8qTbkmtdb8Ci57Yxdo/UOtyyebiVkkavXS/JBhllKKERJ7gvNbGFJEUaQVhVFYlWzRAKUUtxTjIebDGhRWlnDrMDJgqAQAUdNwoVsAAAEASURBVBTlWZmmrQpHNi3OFc4ghjNy3XIrf/78+eXLl6zKYmm5WaMoch8yBy5dCw5qbk2uc6UUq7t4bmLmrJhhPtxJuJJZu8AZXcjLo4kdSDmCiTuyOI07anrbbgapziQOiPjjj+/fvn3D94K7k5fVTLizW2+u6f1kry6xaL43DwwnCutA1pu/fvzVh9dXr8MwhE6UihG1gaNggJEZiEgpXZTF0XxuzSX21a5gPbI12fVIE1rrIi9ms6QFbW540mecbeKXFkWZJmlrzhkWc/1w+35MK319c3v54lI4M3mnrdswpD3tyCi31WoVRZGdB1w+tr8xg2FeIdY1RkSLxeLQu3fda6AKMyo3AAABAElEQVRAKfX9999/9913z+fDUnUGgtWsd3tU54go9PvGSKPUlbq7u399tSlYEgGMb6R7aiEyYIgWT4uj4yNnCHcA6lhH3WhhyLI8joP9I0duGQV2YdqHzxZinc5qtRrGOdrfAmhTaq3v7u6Y1faM2zs8tec9h/Yot6vvqfQhIl7crd3mYOMmVxejo93gjHEcv2y1WrmLKNtruIHtHZe86rD+II5jbBXFvUMAbl53tbNLu6tL4Fbp1SPXrF2VbXbWMTAMwsZ9oTG9M3O7yhIR/1pV1Ww2e3p6Oj4+bhQJScLyc9+VUrKL5WKxODo6Yp+kMAyXy+XR0VFRFNZwY21Md3d3p6enE0ao3QAAAQBJREFUjFEYUljrCadhFxDu/Wy/YF2UtVjxK9iYzSVlhBfHsS0jAzU2E3OHs+4FXBu92fn+/t5a2Xu42baUXTKH2xf7pKqqp6eni4uL4RzkovDh1yHZWWBDRmD/nt6E1UMM3JHYj8p6inSL0GyRbamHhbLE0NNugywru1EZ3WxZhi5nYwwr9oazwJY6GSWt9adPn7766qthxl5V2A/gKGN6L63rWggp5UY/EmxVd70W6SU2xrx///6bb76xKW0CV//aaxHL076Ff108LeM4iWL2ebAz7EZwtulXMkRksiyfzWdSjm8gR+vQWc6RDGC7jCqls9Xq+OSk1SK5eTcqoaHxfgNs9xnDYTkAAAEASURBVPnsC79aLefzudgW6sz+1JGqByDI0OPj4vTsdJM8RGYnOLOQa7VapkmKotHd9iptDJw1rdOi1XXP//HH91999bZxaNyqp7fMbV73CSt3d61Snbpys/fe+8MPP7x7965XtN6rB/bEkRdppaq6StN0CPL41lQnfQf5ueMU2prPszxNU8umt7r3Bu+mGuAsDw8P5+dno4MUNrT76NgnotVqVVWVGwnMvv1ZmMMYwzEgWN3Ve8smAYbyQNsDLaLanrG7uepvcnit/OUvf/ntt9+OTub7y8bcrELBbaPDwBmDhH3MmgEvdYwDpJSMzBg0sL3W6qXYPm2MYaXFfD633oha6zQMSnTKAAABAElEQVRNrRrAHv1g/MR4kyERwwvGMRYuEJE9FWKrw26+WX/DgMb2IVswBoh2amM+fBaB2uOZLDlrp7hSaHC3A8d64O2gVfvxXYf2rCg/5NvubBwpRnjW68hNkySJKwa/gs8wc7VwwZ+enk5OThjasi3YbmjYra0XTITf1VMjW6WjixJ6iIG/bnddhzaYLUdFGva/HrAbxXku3d/fp2l6dHTUM5e3GQEa79CNr4B23L569cruXUZLwP8b2DU6xP2HLac9VjvLMpRfCMFuyFvw3J4khHjz5s1o6YZCjn5wP7OBG3Hb8ZfhkjkUGxEvLi56U6Gl4Xh0R/Hw1VVdz2ZTg6oAAGBzoCVHkgAAAQBJREFUbhFa69lwYRsFZw4DoLXKBKQUQo64c7RpNwuCnWTYgq2tyMzluQ3WWEtoV6qR5t6H8rxI4tQ6WO2dd2h3g9evXq13RbvOzbiIs/dcCMHHTXbJ0K+u0Ze+evXK3dfZlE3OXQhyDc6M5gNtrUnWlRmAT5CM5h+MHWMMir5P26YsmyXkDkDGaPPMSOObJsAkSXxFVMANBx7375xuG7Hr5HMnz9Et6Lt37yx/a8d4rmyWv9grbvBuPk9PT3sGGw/s5RLsKCPa84zW2723ovMHLqQtKj+0nYbBWc9s7GaEtnZ6GHlYZawist1oU50OR0Xvod1bYEvbOWynsiwXi4UNGjTKZxUy/C8AAAEASURBVEuh3J9457EZcDyPvISYR0Sl1GKx8HJT5/n5uRmLL3qAVMvl8uTkxEscPjZ3TucD/kJp8M7YS/gSaLcZO98IGy19ayqKYp9b6mwf5g9mLKJpli1PTo4kIAAY04mwv5ktDMthDAkJgAb6wTrcNOPBOLBRNVm1GQKgUrXR0AUBVngx9nAtHh81RfbdRmA9HBC6Zk0i4tsIWj592Yb7BEQkMqvVqg0e23Ekbyt5pKSOp6OVnwDMxcUZw2lEq2nrKcl6n5sYH93qN4hw/3A3vHRu0JFatSQ1Zo1hSgDgM++94ndt2Qa6OjMchGhhurt7eHN11fvFSYkA6P46EHhtt+U5udsdZxXoAAABAElEQVR/+fQxQOuB5/42bBR+jG101rWtk8hVPQxL0SN3xXSdjnbqujbpdVjIqmoCgLkPdwozSlpr3qBuStDTCm96yGoz1msM125bKFvwgZ5ynYP/d3//cHn5kvsSJzOHhhaymPgAbZlLiHhycmK1V9up8yYvYcBYG+TltnIAYM2ZF1bW+jmdVRiG06OqQtu9zs/PvUhFRB8/fpzOhxXLvqLsFkWR57kv+OKlogCAQ+x6ker777/3wgcR3RjuE2k0iuZmg04jwOjzPM83ZcTu4W5yaJTVmzdvBW6c3agLflxWvQ92Ydv/xghXK0+0xkz8XG7zcSHnbwv/5gMCUtNR9+2rvXpbvH/n6QAAAQBJREFUVyDRfD5/ziUFrQxrFLiW4Ve/+pVWultM2iInrW9t79cAm8O2t3VPANrQsk9PT8Pn24f5pl+lELSjmdxfEQa32jMFQcDa4rHiN31vk4BdbgjQ6Gz2LMJ2Yviyf/otlcmHGQ+QYUhRFPX0FNSlfUTiB4ji7u4OHY+LTRVFfbTXr2FjjDF6ew/fnzbduWTnov3bhWNLbU/DbPvXvB/WaXrELlbT+UCrkPTCipUlXtZRXyIBgFLq/v5+Ih5nQsT2+PckYhcW9867KcQeil76lS+1GQDc3NxM11EzffPNN8+aMTcREd3f30/nwzR6pWlvsut53Y6aJ4iIrUXDurJ6fjt1dLvUaOsAAAEASURBVKdUdC6gbP4+ffpMZJ/vIFfJ7Qpg39hExHDK0pW/f/2lCyKbJ4DYxkoy5EJ/V/hRZNYpFxFrWQQRakNCCmgvUHe09WtBelaF3jpkPyOiDKQZuNfY7GIDueBMCC64ePvmaynD3lrZ00u5RUNsz302NbRGtDw5bFo+bVNgkxEBOgc79li5Nw7MQa51S52dn0Lrre/0hGE7EoAAQNMHZ01KrfXT05OU1h2uA84QAVEiimH1j8hGACScPj+i94Lu0OvxtGnYl/y569emKS6OY3bamUiIWJbl09NTT7BN+Mx9KPpHMgUCJsmM4/FaGp2XrJLednnnptRmijg9PXV6uK3/QwCzMRyTAAABAElEQVTA0CfeFufHH3/8vd/7vT2XAERsQ8nsIGOMG/GFvAQdBYAoirIsm84HAPgUghfyqHcpy9JXAaWUNibyRCIiL3eoszDszDedW5IkXgL/EtHT05MXGISIvu4tAE+3rHqnN2/ejM5oz20IRLy+vh7NaAcU7WegAYCLi3O+fXKPP2wXdbTXXNo3GkNkCGhtQjIttaLigNWYqxA2czWbLTZUDq7T7awuAIFCoKC1zAxKOtmdh50/Itc6A0RgdP9KDNp8DWWPbM0QERDd3t0QmFaXsJZ3UDRbb6MDBAGQw8OuH413D1tG2+IdcxV/7trxcay2+7U00hZExtCXL18aMEXu1ai2UgsaTgAAAQBJREFUOE1F2U67CVxK2Xjcuh2bCIiwx9MYaP9GhkD7oo1dx90t2K67aZ0iotEjftj60fcyOsOzEdLlWlXVcrncIFcjz54zJLuq9xKjQy5PN43bV4kMgCEwYRBwji0Ze9u24UTEP93f3zs9nLtfp4Cj9TZKog1mZLNb4PjVV1/95m/+5p7AyRjDZwt2puxr8tl+sc87thPHRPDCygs+YPLl/wgAaZr6svppre/v733VlRdjK/d7X+BstVotFgsvUp2enk7XnPFc5kUkpsH+70Aiou2XA+7Ph4h+8YtfDH86THPMTnVeyphlqy2e8thZdkdX6IaEQGMgDCMxkGqgprKPt82eQdV6PvkAAAEASURBVDccSS/v/viM2ksOullGs49iDuwlWa42rqDd926fQAiQ5vOZ1eLZFyDuVa6e2OcXL8hZLjd3jz5zm9Kurz/++OMg/bPBGSIi4Nu3bwdKtS2djWnEnF3X1d3d3Wj65+pdjCEpN2prevW2fYhJKfnU3RYO28mtmziO93Ek3YeMMRz4qSfVEJ/tISEVZe72kGGaUc4WnLnJXr++6vZwsg6sz11wXSU99GHl81gh4s5VrOma7iMvIe+hDaPiZTYX3VPi07l54WOMWa1WXlgJIbwgKgAgoqqqvLBi+OIFMp6enp6enk5nRUQ3NzfTOwO1QeB84f5DAz6N0PX1tRc+APDTn/6lMZIJAAABAElEQVS0t40+uOp4oRrqZnrz4z4TsVJGK7NhuXX+CB2fcAIwiE3ozpY/SimLsuTP7p+jJNgOibqCaS2Fq9+lnsZlQIZd43spEaEbbaGfZcBz9CFA22RJkpITcKSn/xiq0LaUEZ2oOm1NbiwjNqcZjG1eyxMBPn38hEI4db5eqqwyydVc2ortqXOI4CfffAtrnYct2071aoe4ta+vb1uF5SbCgUkdh/ow7Oxy7a9r/Z9TS4A4ahpu6hAFGmMxAfUkp75Le+fg1LBl3cs0afMRqzaj02QIvXpjV+BN2bcwH5IQgmM+WIGtrs6K35sl3OzOV0QUJydn3CLcPYYZXVWZi42cukIiPyCNuAAAAQBJREFU1Mp8/vTFbSvmqbVxb2phsiq3ocrQOFG6uuVGItH+bdrX9QkRbQz2nYk7ZycPgIGjtL+ZYydxCNDpfLANXTGdFfhGVKMeo4eRFyuwMYaNrdNZAcDnz5+9HAhAxMvLSy/wmg/L+KrzT58++VJ8vn69Ke7l8/gg4s9//nNfvX3TMYUhGtuJz46Pj6UMdoOzsfWVwRl/JiJt+P60TRn3fwjQhommZ85a7Yq7JgLQWruLyhRCgCCQraj7q21GCoiIj4+P9vN28bqYG1rdQ8OTAN6+fbPpRWPcNtcG4R//8Z/sUaLdhAgvLvi6uU0ioe2hYz+5rNZ7gO1l3NnIbQuOHDrehNUbSYQAAAEASURBVLG2tE6e567mbFc7olPk/m9xHG/XxezsJJaklNtvA9rCqvsTEkHrd4v2dzfxPvJwriAIXr507z+wOHX3TeejHAd2fJACm7/n+INlWbZPkDNw/ROhDQT/XLmH9Nz7m7dQkiReDpUQka/SAcBisXAPGU0hYwzfbTCdFRF5QVS8S/jy5YsXqV69euWlM3j0ORNC9Ka5KfTtt99O5MA7Tr5v5IANUk+hRYaA4Jt33wqx3tUMnOUbcvVhm967Wq3sr+7URt3Ncc8XCgHIuI7AQAaenp6ItrRgq5xAA0jg6CQs80YMwEAGAnGrB9tasJ1VWpVVd9ZGGJwn6JIAEMPO2DJh8yaTZUyHAAABAElEQVS5NWATAEDXH044bjFdtRDiYrHgdUoIq6SB4UmL7ktG1EtEdHV1NdRgDcrrzpBNGduTo1wcA2Cub76gU/OO93o/u+M12HjQd5db+Pbbn7hiAhghQIidK6gAEK2vfdPZbm6/GNJuH0Dcfyitj1mQgSwrekrKURodF05puOv2xhe25y2E1Yn0eDqqL2FVUGQgjpr4nXY4u9q1fawBNn1VVRxRoaeIstx2TkR2SCqlVqtVt2s1lc+Bpq2iXTi3odgjFG7xhRAX5xduC9pfezPAmAJoPRaISCn94eMHpz+uPSmHvoa2+XBwtzh/7R0IaM8gQPO3N5AFgKOjoyzLnqE5Y/KiowIjUQAAAQBJREFUTiAiDk42kQ8T35bjhRV6Op0HAEmS+Ao7EgSBx5OtdnM8hVixxNcDTOfG8aO9aM44+NB0kRDxxYsXvpD6L3/5y4msOHsQBKOR8/bM7hIRPT09DoWiAe3Df9NYNhs4IAoiqIhQQM1X2BgiYwDo5eVLPyMQQBuNiPuckd8wdbpH8Jqp7znzwzpv5ykf2mzc0k3XzYBXYmKD7T6v0tpYncSGLONiDAgB4O7ujte2ncUcvIvYX8fCj7Ozs9G9jdVsjglGXD0uZwK4HXh3wX54uicfIGA33isRmAE4HstKrWzNS4NAnp+d7Vex63cNBSaWYZIalXqftDasYRrCi7HPnXK5H0VJ8/kAAAEASURBVBhwDH+CZzrRImIYhhzMsi/6MxsRAIwxrRf/c8nNQuxkKSVCsy0k2gW13Umx/VtTFEVVVe85bLdTG994N3XOme9zbcJOQkTjLzgZ31bkhZUvSyvsocjdn4qiuL+/94U5zs/Pp/Phm7J8+ZzxnZLTWRGRF0TFa7CXgHBM7969m1g6u6e8ubk5wBkO1+fJhRCCJ5ZaVcb0l88hOKORA+39LJsg4wbQI4gAQRiBVGlNuqgK9biArKh09eHTR+otzhtXwNGj760yBkAKwQZEJ/TDuHZwU8nc1xOQUoo/bSZXnWbz9nVsjL6AAIXoHkLCRl8CzV+3dC6f5i8IgjRJG3UO2TTS7KbWAAABAElEQVSDdagfPGIoMCDixcWFq7rY0OjNKzYgjebpzc3NqCmnBXDrunUCHJB1srKlIENRGI3q/5x+MqrVa36xhUDEyxcv3WpEFBzwAoj/RsvbAWf8qKzK27ub0a45jP7gamv6rKkRbOy9MNLiLGe3j7URSQAItNZ866tFCXbs98AZa9Zas3tTNDtgWSkwn89dmckJWjFUIG0iIqqq6vPnz6OJnzsxCsQhcNlqiBztG4QIQSDtte6swjYGyKAx/SyiHwaoD84AIM/KOE686Hb4qut9UjbqH3RuJKRpwdx55PPtTwczscTXWU7nA/5OAwAAa3G9FDBNU184j4hub29tjzyY2OdslToyBgAAAQBJREFUT7v4Ttr/mt6ddHd3d3Z2NrG6uHvzRUlepLq+vr66uvLCKk1Tc2gMa0ucd+cVKL1f3a+9Le/Nzc3V1dXYPLv2wEUnZjoCAFCgjBakf//H+n/6XZXnwZ9+yEye/Et/zvzLrxTVqAFQNmctcb0IbkYMYAy5I5gtHPwLrzvtirWvY0pbWgC2wCIAIHFQ/KYeAAg2nPLc4EMDIIWwISP44vn9so6Q0aau6yRJmjolIgJeNIksNGxE3VJ2rqfb2/uXl5dczHajun83WytjiMjOydSYw9pEA8+qnmd6z9gqJCZp7HYkh9t22dwszbL16dOnt1+9HdORchsD8B2hvVC0A4rj5KdaJRUAAAEASURBVOXL4aIzKtu67w1JCCTT2LfliH28JwZSqwEcvLFRBQmJFou7Y2V00hhVRlggUpZVluWXlyPHw3vc7GzAD93JgcUIZHh6et4ZxmN2Kjej67zvvpmA2gbaOB3tQQgE2ugPt7fvLl6WZf7wP/8Ncb+8/Of/yfvf+XvxP/Eb6U+vDJIAgQDQtN3GaQcAiCBJE76pqCfMAXM1u1ftk2vtc4aIq9XKi7KEr+uezge8ntb05doFAEdHR16CuSNiURQPDw++BPN1fRO194FOpzzPvVwXwbZIL/0KET0GJ/MYNWZPdfdOPjsLiA65X0dTvnz5cvts0vP4JgBtTPF3fvHwl/6H6H9m573VAAABAElEQVT7e+Kf+ofEd6+Kmy/LP/qjX/zH//mf/Jv/YfXbv1PmJXZn3bU7Wd//Glsw0dENYBshld/pKg4GHMalbldEhn2irmroBuLapUUbfRGvXsaYZgXdJcZWEQUuV0ty5SD28bbC9cTAwR9Au4geH58Yw/BkNPG+hcX28mLY7Mu4gcmQ6OPHD2PJ9petzUOwaV/a9t5NfPqVVlXl58+fNySDgWA0hKRt4UgI0I3WY3dxBqOskxgR4jjiqPejxws2sR2lJEkuLi42dZieRs390IMmAKC1LorCff8zIYv7XpNlq+fkHWdIAALl1cuXBqn623+Y/vbffPxrv1P99f/3+PMy/2/+3CEspAAAAQBJREFUzx//8v9e3DxSWWlNRpPRtKF11k/qqm77+aSpnlVXe0b1Wi/ASik75CYS28W8rO5KKS9B4am9a3w6KwBgtOEFn0VR5PHkYJZlXhSNfF2aF1bHx8e+dJa3t7cXFxfT8RkNrr2fSF6aj4gWi4UXfAYA33zzjSvVph0O46PhZGq/GmNub2+tZXN0F7tW2xAoACCz/L0/qf/T/z792T9Q/cZX5v/5g/qv/l/J5QX+2ttjIc3bC/NHH+q/8fsPM3n8r/1W8GtvYgpFIOSoksmqr9B+Zbd0BIBaaaO1lCE4ypstZJVNa25tLq11kiQ9ndn27Fad0EmEhIhBGOKOi8/3ImPMfP5sr/MAAAEASURBVD531IoAAgwB7ggYMU5VWcZR5BhGmvJsUvxsocVikabsKcusrNe2jUyxiexPzSu/++67sWR9rdIge4e49R8eH7ZFCsSNX3pvFCiPj043l6LfORztYPOgfQkS2X7TV/VtKQ7/0GsTIuJeCgPlFrYHC/ihcQKxutlbUQERyzKvqroXrbOnf20He2cawda8ZrkBAiIJu2lwrIHr4uzXxxCRLzO0pTts24sA2piPXz5/9frKnJ6oeRpnuVlodX0fqGL2B2X1eQU/+2b5d/5++I/++tk/849QEiEB3yznaMo7JxWGqBSgMx/us8xxxqIo9sFanfNcrFuavtKw26nHEBhe+PiRy/d1AAABAElEQVRSBQGAL5MfG+w91pWvOGdSSi/uawCwWCyCIJgOZIloNpv5QrEeabVaeYlIzBPTPgUchwVd+uGHH7755hubeBOTLcx3ecwMCQ0AKqryov5P/kdaLvHytH5a4d/9/vS3/iymafizn5SxCv7GH1CdJX/uN6LTi9Vf+ivlmXj5b/1F/LW3EfJ96KybsS41a+bt/5BXN60oSWIh5JYVbgv1Zlr2bSVqbUvUTzmsBsTmcsahOcl4Co4jEI1xA8yjs2bvw99q15qppsk/WbTLy8utqpp9X0BEHz58ePfu3c6ErqZq7BVEBFLIYVDitUzbhOojicHJ032ojzsBwBDJIGiuCKOeECqDVwAAAQBJREFUDO6XDhh1QZE7BMqytGfRelhh2BwugBjKKqWUUvNLR7OP5Wo0Zx01OUEYBMHRkSHaUvl7ViaHZG81oId3U/azO5rPBWCQxAh49PKi+vo8/Rf/sYd//78UWR6WBL9/FX55EL/7+3//v/jvrv7V3zr6F/6sujoLNV9rD6zrXIPoFvI6xRmvseHAd63AjLD31HqssR6DMy9zijHGVzh+vq18Oh+uFPCk5FitVpsi+B1ASilfZk0voTS4I/KlPdO5HR8fezmO6heW+Wo+RPTlcLa/sXUfJ4zLy8tNs3PPAVaM3fPYfgatKU3GQ/qNuAwjGaGrv/q7M6Vnb16bUmf/6+/UkOrswbEAAAEASURBVP/Vz3/3L//qb5Vn6c3Lk9N/+y8m/8Y/m/3hz7P/4/+ef/uV/OXjr/6j/9oYjbWmXhTSRklGKJzFC5sjeFJKrZ43XyHyuXfLf/2TMUYbDaM6szEtWstxqJ8AFCil9HCsCwAQy95J500WtHEiWHuUY9MlOnh31Pd/N/3iF7/o6glGT29sFKkFWwJBXFxcjmXHoV+8e7BghC9REMi9i9KI0T3B0LyxrtXe9+BtO7YCgE3ADMRdVUTOH7Q2e2pDybBsmCZzVlWI9lpbO1pxswu/1Y7bowM86vnK467Vcv3HzzkuTK/Oe/NJUVQ3N/cIm2KxcjiVnTWJACKQ4YsXL/kq0ikhS5/PAAABAElEQVRHI7mM0hAAaKng+kaVJalMvDm5+s/+3fDP/Mz8+X84+Qv/tDqNa6hPnhY3/9Vf+fwX/r37f+U/uPtv/1r+/kuNBgx7EDRNprUOGwWKsLK5OjPseuP1yMVnSZL0LlTYRGuFDbuBH1gZXeJQGl7cg3yFTEPnzrLpy3wcx77qKggCL1dPAgAROduOSSSlfPHihRc1KkdDno7PiGi1WnnBeUTEyvPp9lZiN2Qf980bY/Z3GdzZLlmWzWaz3mQx9BpxvvaNII3GCGCVLY+OZ0TN7b+OhbGZPXW7yGsg88cfH3/7r7+endR/5h+s/5e/GZ2H1y/ET/65P38+T/+guHl79rokJpPwjgAAAQBJREFUA1+/Pf93/vX893+h//bvnd2/kX/359Xf+sPgH/8ZAAWArf82WAHWgI0AiIRAPrnWszVAxzlrrX5zP7sPwVm32uJs6PB7DwIEMARVXSWJB5cAY0wYhRN0Xei0Nn35cv3y5WXH3urU2LMG+tdff01EwyxuhXch1Dh3Anh8fJzPZ4OUvUWOEeTGtRoFCoQ8L56roXfVT/ZTnMRfffXVmLDPIzbBK6UAdnYG281dNSm2Sz4A/H+8vWmsLMuWFrZWROScNVft6cz33OndN/V73a+bxt3Q0KYtYzD+0dgSMrbwJPwDY4N/m0b+YYQs/ANZlizhAWOwjGULsLAb042bHqD7zf+xWbgAAAEASURBVMN99707nXvOPmcPNY85RsTyj6jKXbv2cPbelfLSPkdVWZkrV0RGRqz41kTFZzyLfbnYiqUD6MU3vfhoPkipkiSp12tw7Wbv6uPLewGA6zqu696hfy69Xb/X393dAbic3/JVWBsj60N49c/gjiSVBA2025gcHSVpoP+rv1X/u/+UKWTDwWI+gvb3F0enbL4QTS8IPK/enE+n+r/5+/R7P6r8l/8B2T5qpNVeSFgizXLXdS7An+fo9cslwfzGqxgrmJaITOR5XhZyhoilJAtdn4W3p7IqxAPAYrEoKw4DSkLOACDLslJSphlWpfBBxE6nU1a3m0JJpXR7WcgZANwws/F029kkAAABAElEQVRNotxNlt1i+1tsmnFVw2d9G20m5/UZv9hGI4NOx2AbiMt9P1vbDSMA44RLa+A0Hv2P/6ATVqKH9fjXf5dogf/yVx7/5f/4wZe/2KlWLcvpDcfEuaUZMLS/9DT8U//K9J3d8GfeTX79mwiaF1mpllM/Mo6Aa8nMlndEQOCcUxEHQAC0Ar029vnnoLgLB818ikBAbDUFFrkllyeswLZzwNtVhIAAglu6jKHFGLMt+9q0vdcTru3yod1pX6JOadLq8upD19DF0pMrducQlgso1yaAhMv17OKZ65cjrJJHXPPCImKz1cQbzQ/nxDCvyLpWFEfxZQEB62PrktwfF4lWGc7ocRVpTAAAAQBJREFU9d2LcAmutkLFABCQiKSUxmdsTQk2WXjOvby4lntiZR9dT8CBAMy2nEqlujpOF8Rgq1x9G5JfSFMCmGbZycnJ+q/n/67vo429F1arVXN8mR7x/F/xmpNeHlkKuJwBTEZFpbVkDGthkHHwXS+pClHfETs1qxGKr75p7e103n7LF8IPK+EX39z5yhf8B0+ybtyshJU//hN2d9T9P/4paFJwNvNEUew6GyDR+ii6Drk8/xP6fpBl+U1eOLHqFtJam3xU22swQghjHd+Sz60MtP9/0nw+9zyvFEjPjMVStEZEnEwm2+tnBkMtq9uFEGV5+/V6vWazuZVgK3S53e6Upan3+9xKyNsAAAEASURBVP1Syi4BwN22NBc2vgiAO51dzsVlvwIU6NRy0bjOU4SIut3e3t4uIgrrcvOEBsgZYS6TX/26ddhPgMPX3vVeDdWb95w/8vPoerN+fxbNm81WvVI1aVABgWuSDmv+3Feyf/B7Dik1XEC7dgZHIwAAbbh5nLUZlFIyV+CZcwrHrDX7rD47+bxb8xpLBETURKQpTTM/CM4DN8btGW9hTCSDJxBe0auX+CVdw4xWFUWvON/UWL9KNrOMFVrmaDSs1+rcVBNaSYMMlsppAQmcv9kZULq6AhBt26GV4rThRnVuqQVgBuaBC8vKMhccep5nesuAjnB2Jp7JsnZvbRp1Bt/SUr2cUgjsAAABAElEQVQmOj3tHhwcMMRCa0eDHa43y1QUWL0BG+Kbe/m+73nuUsLVD2iqDSwlhBVwiIXGWIh75qcPoE23GqViteU4/4zIlLkAWm1DaKkvLRsCCESIWoOWWQrkAzFNwHA16NdwB00EetmbmtA0Xq90XERgpk0IpORsNq8264SAejXqkYDIGFSVWmF1eNZ7CjUjYxbFFaJHQohGs6GUJo5MkWJICEIRAigEJECGy5tKCYxrIAaoEHLQrmaEqBE4IJEmoChNUAiLmBQklJYE3LhhGLXUEgrAUqARkFApBUgkc2EJQAYa0t6w96MfwWSR2GjV6rs/+RUL6bSC/fxkH7D17n3x+7+89EsFfgAAAQBJREFUQOlFsfzOZ/zRTv2t+5/+o3/iM8fZ32Nvv8W+8vYsTmo//W5OJLRWoEEjQwgCP00zzhnjXCvSpAXnucyFEFprrZVlWWmauo6b5TlnnIikyh3HybLMcZwoikx2qjhKEVFrFSfEGGZZFgTBaDSq1WqTycS2bdd1x+Nxu90eDodnqybnfDwel5KLoaxQTQAoy3pYFIsoBXp5bRKpm5MJ/CwlRo9KKmlqNP2ysE+tdZqmpWQ729nZKaHbCUhTr9fb3S2DW3nQIADcrWDrpXDC4eHLN998esUVaCbxiy5TG6eZv3arDQBm4wpwGcROAAQcKP3t77M4Df/w1xZ1n3ue/hM/i3GtvOwAAAEASURBVM3AIkYAXIjDly/HQfDeu+86jq0RAYjnsLjfkicj5/5OMhhVO2dxFRv2xw0VZKVxkibiZrXdOP9iY65QlogAARnnQnBci8QsWrts4M1GCgGYVYRdEa15lrP+NZ1vZMb5fOH7gdZ0ZfjnNbKtKUorBQk3xDDrq2moSfrAjLa6xFjWZDSKrAYAcB2PCJTWbKNA0toFWhvFdzU+2bJFBhRhiFpppdRkPKlUqua6ovPNmUspEABIa1rjjUpro3hpTYwhIGqt91Z7JNKktGaMAZKSinFm8thxxo1eZTCYZUTHpviYpulkMtnZ3YWVgqW15owbFVBrLfiy15f9uuKxdA1adYnjQAHbAAABAElEQVQxRyVJ4rmuGZ/I0VT0QoZEpBUhogZt7msahYikQSmVa20c1tLZHOMsjSIKHKU0IiFDpVdqJoLWy0g+kkoCyUUC3ZmMFtK3HWA6SiQS9z3mWCzwvUoAFgPBLIsvRhOmKY8j5jl5d8QU5Um6OO5F3UE2GimtXdd1qjW0hKgEdqPGQpfZFjCWaWVLDVHGle5OR/PZrLOzEyfTxfMTNY2CVjufRFF/5IXhLJ1YmUp6I078ZTzen1GSJpGMvNCfW1Ahy2k1OGOh67P95uKop4ZT13Kmxyey7TqEme17nqu0BovvP3p4dHzUeXJv/tmL6fOjxXSWcTtLYpFnjuDTJHJtmy+y1pfL7AAAAQBJREFUoaXrwk3z/KDa/HFYcyoVb6FkOpkgfvL1b1nf+P7pN343k/Mv7r6rmm+ob32oUHg/9UXs7PT+yJd3fuKd7Keedqrt49m46QWpzLIsazWbw8GwUqlMp1MuhGM78/m80axPp5N6vZ7neRRFtVotjmPbdpI4dRxbSiVVZmqcW5alV1XVEUFKyfgSSDP1vk2gm+d5xiJXrVa11pVK5SwJrZSyrGLeZRFeFkVyN9Ja3yYlz2toMpmEYbi94mjc4MpSQLGkRFkAoLUej8eluK8Zz6dS1CCDnF0DWK6jRJdb6hEAgAtmWeLSC+8wQm4Cm+nlgs02otzPO4XQaDRyHOeavlpOwcOcFdQAAAEASURBVOfMEAhwybr96NFDAFh66S7bvdRg1n3MVj/S2Rq/SqRebPh7vf7u7i4gg9XdEUHrJSRDBESa5yxaZPCj57Jdi37yTb9Z17/4k95X3mPIiLTv+wZKV5lExjQRB1SMcRsqGE7f2E+fn9A/+YF++xHjK3OMLrAN872wyJibIue8yEFDRKTWgJ/VJeY7gSLSoM3qz4um0VocJGkyi6IxEBVwVeFZtcLh0FyGq7BO04Ns5bUGCMgwy3NHnhXjIwAijQBk7gDICDQQalDaAAuACJpAkxZGCyMoTDhKK8YQ8yV0lJPUq4ZyhciZ1KuYToZEBHmuldJK2ZatgFBwRmgBt11nkaUJlAgtAAABAElEQVTc4hRl0rNYdzpyVJhS7PMq8/rDoe/7jCECep530utWa9VqGIDUWklJUmnNucik9JG/fHm48+C+VhSEgVbKAkzSLI3iRqsOnGnSDFkWZRxR2BbkekqZFeWsGdrI9SJGz1GalMyZsHZ3dofPXlhcLIZjXMRJGlfaTbQdsdOwgM0nE69W1b4DUUquRYKxWGpGnsZJlohEapvbxJxaOJjPotmks9NJ08Sz3OFpr1Gtj/t9eXjKObebNd6u6lnku97wtGtzkUTRcDSqgj1QUS2s4quBypP+YMBz5YQ1qPiHb+7VR9lJoN+a8B/F/XatznM1GY4a9/ZiBq293dNBD/LUHSeDpXJ3jwAAAQBJREFUXr8zUVMuZ3G0//Yb8XTuNKvcc2Sazb7/kTL5RWpBu97offAp912ltUU4Y0oT+TmmUeRpHuncb9U8Ll5NugczeDHueXPp2O7Uhf2x/JSinXsPPzz66MHOnpdC4otOpUoWw1wPp5OJBZVxqrP8nh2+WAw8zaAeDFTu285oNHpYaSZxTHFWDcPT2bDpBtoVdiVY9EZzG1pSzPJk1/KHacQd25bkCItXfA4YCRrLPEu17YhqKsNJPI8XLAhHqLXntsCaJzMReGmSpVouSOxYvg54bCNp3rIDD/I5ZnvMZos8lMgt+5HtKh+Z6wl/P5YZ8x3QnC3mjIHKBIwPnTz3HJcxVg0803MAAAEASURBVLm/awNj/TlEuZdaGal8NhS9+f08w09OW8wd2EH1/q5SSrlWPJk6pFFr266E9+6fzE/ULHI1mzf9R7wlbJy9OHwQ7M7kfEdUmCUEr7Y7j737B1o63LdaD57Izz3GP/0LDdchBg/39wDgftAGAB8884rX6hXGWLuzTNTiBy7AMq+ebdtGcTJpXOqN6mpSCWBlDFnaagGYz4jIpNYv5nmDZBV4VvH1zKy5mpFLWEQtyyrLUQzKM/mVVegaAIIguKhR3Vza4kzGmFGWb6KDXnxGG1cR0WQyMWr4+u6zWMCKM9dPgMI0sHaOEGJdM7u0aeuKwqWtNj8Nh0MhxHqyiUvlv0LWjgHiAAABAElEQVQRxzNDEUEQhCsPCVwzw6zfEZYr7lLzOPtl/TStqVqpmhKQy72vWarXZDjTWgqvGDAGAmCMrQpaEwAcH588fPhAa0I0ieYRlt67a21YqkhEpt80McaUVoVdBQGRsUazmUspOCetNWkAZMiMFFprWuIxuNQ7Vx2hNTCGmggNIoLAEF+8OHz8+LFJhaq1zrLMsoRJEMAYN94aUkpEJmXOOBdcEC2zZRIRkV7pqeg4Tpbli8Wcc8E5ty07z3MCUFq6rpMkKWqKBE9+87sWyRklbz3e1+2a9WhHCxA5SQ4MWZoklmW/8c5bJgmiAk4ASKCR2NfeHL88tuI4my14rcIBTaQUGZRVTwAAAQBJREFUaq0ADBBhvjHGznRIpaRURKRJmSGolcb1fmfANUAiqTuc9Qc2F9xxoF3l1UBnOfNcyYETUppzSzCOUislJQxmzBaTk16j08xJE1Dm247nKaVRMB1neZ7bQiRZ7tcrWZ4RAGfMPNAkzW3HUkrHKqtINRyN6mEtWsydwJufdLvPXoTElGvRIonmi9puZ/Lj5+DZOF3QYOpmes7JOmh1u6dCWOJHr3o8fZDaE1QnyfTz733hRycvGn4lGo13W52TTz7JZ/P7lXa3ZnmaVV3vk+efdKq1NIru2dV/1ntezShwPMmx3mwsZjPLcVQjnOvs8+0HP/7sE891J5TuB430g+fP3dtK83oAAAEASURBVCzIgIe+zW0mWE/FmVIPmx0r8NPhrF2pUa4G/f5wPlkw1djrRPOZnC7u3bv3gVRevc5Ct/v+J/u29eL0VcygWWvfO7i3yJNRGrM4Gg/Hbi10RpEK3NBxUyUPau0PP/6wvb/npXrU7VV22t3ZqO7XxvGcEx54YXc2IotTktncYooO0/ETv4Whu4gXSWhrJoJY5Vq2UiYF6ExNHe0q2G11PoZZaFdVf8IZb/vhcNSv+KHM0natMZxNRE5hEKRxLBkITTWwZoLGlp5UwkjLEWcucq1UI6zENuajCKRKbIym2SuWgvLiiugJzEZT17Z7TJDGvpZRHO/6lbkjuNaLnIJOPc1TQ5KKAAABAElEQVTjk/c/tmcJI66Q5Qi+sPseVSLNNUxbYdV189GsotC1bBuzKliZb8k4D10RZZIdDRzLcVPVyUX74RuQaUVEgeNoeFdZyU+8sfNdn80W9ao7T+LWjMBi2TR6R7n9+4FfEV6iThz9B+PdxGPgWNp2SUn5mKqAXDC1iFWUPnzniZTSiyRl0nm6mwZWLWdqkQrL0lLlvuNUQpXnPPRAcDmaOdUwGUyEYDSdWzuSASWCIwgQxBVq1yNbaJ1L37FGc9FsYOhmaerWw4xp4YV5NRBRxjWwTk3sNKTWzLEY49oRZk5UvRkbTVSek+urqi1Cvz/s79fbLJVqsmBCSCTyLG4J+dFLM0XPiAAAAQBJREFUcCwNxAlJQethmzuW0lp5tuO50+GIKZqddLXnVuYP4yx98PabtN9ytaDpbHx0iM96+Xyu/sLPJv/w2+6j+7V33l4cj5xqIFq16b1K7d/8BeY7ijNrzfK0vrRZlmVqa8JlGPzGQnZhFYP1X28e43gW1qG1LnKjbaMPEVGSJEYx3FKvIqIsyyzL2h7xUkqlaWqApXWp7qaVdrvdSqWyAVNdWkNjQ3dZX/vNqjmbzRhjvu9fZQi+Rm8rnl3xlVaZES7Vz4oUghvHiwsLfUtKOZ1OG43Ges9f0F2WBy82HNfChdI0JSIzHtYFWBd+3eJshuIyzxBhkiRCWJwjIJ4cn/i+zw4U9ScAAAEASURBVDl3XDfLMtuyOOe09GshrZeuAOYWjKGUSiolhIAl2ENpmlmWIIBBf2DMmkmaaqWQMSG44JbSSkrJGEMApRQyFkexlDIMA621QkjTTCnp2o4trPFkHIahEGIynjiuI7jI8zwMA6WU1uQ4tlHJkiQRnAPidDFnjI/HI8d2giDI8sxo0nEc+74/nU6n02m73bEsPhwMPc+bz+e5lIEfZFk2m8+ajWacxDKXQvDHj58cnxwLLhhni/m81Wr3+33P9zjjruvESdLtdsMwnE6m9+4dvHp1pLWq1+svX75stdpSSSml53pRFNUb9TiKd3Z2RqMR40zm+Xg83t8/6Pd7zWZrMBh9U4QmAAABAElEQVS4njufzZHh3t7ep5982mp1OBdpmiCw73/w/le/+tVvfOPr+802ea76je/svv+Rerz383/tLw2GvbAaylwtFou9vb0f/+ijyXTKGXv04KHtOINB/8Hjh9/7x792wGpdmYS7zWd/+1d33nj45I/8/kMddbxqmqQLmdTdYEBpxwq6va7tuq7nPv9n3/zCT331O7/6/775M199dXgop4uDZnswHxxUW4effso1qdFcz2IACIPg5JNPA88fd3si1xmjxWjSrDcWceTf38lPR6xWrb37uPviZUPy4XRSbdatTuP05avdGb2MJ29UW3wwHTqkPWvOdb1aGw+Grd2d+ScvNUKdPYAzVgAAAQBJREFUu/1sWtnrUJa7wiWGOskc1+32TxqVGiit61WcpoPppFKp9BeTp+3d7vh0iPmBtCOma47fyxfaFr6wA7fWknxEEWQpSeKuNaZcpKpmOSfR+DGGH6lZiKIm3OMaq0oWzHLPdbuYhtWKM05A86plDWeDwLKjNFnUHKVVBuwBYzPHAuKWklZGCepF1Y2iaNetsFwvsgQy2anV5WwBNs+0iixmRdJlYoJ5Op/t82BSEZwzZgmVyzpzIdNTm0YqRRvb6GTTBauEA5kh41aUdQAQ2dxDyw25VmwRs0ozXfQalb3xtNcSdk6YgUoEC20/dzg5VpApNZhYzeoY8lbKZSAc2/YnsS0htN4AAAEASURBVPQtleVikQsvSNMkI2WHvtI6zRIBXArku3UazrXNqzHxTHHbTmczfy67FZy79n6MVPUEKUugTHOuKXFsFrhqEfvMylDbts2j3BdOpnLhOXmWS8+CwOa24wgbGEsYZcOhcG2cxJYkZXO3VtWksihmjs0zqTOlbQ6CZ+OZrYV61HKBQ+CkswVTYGlSi7llWaRJcuZxdyDyRrsFJ2PYbeR5wmsN5vlWqtLRRFQCnSsKbbS50EznOVVcnUucp/juPXI9JRUXQille75MYj2Ycc61Y/FFypMsi+ZA2goDcAOmtQ5dxQEZI0ugxZnjaNJgcXAEC3yKEjaN9TzCwULNI9UMsRHxO47qAAABAElEQVSCYEyDVa9p0Og5gAi+jYIzYtrhIBUqTbmiXEKuUClkQFKibeejBav4ZHFwBOSqd3TaeXyfOYIYIjKTQYS0xqXb3AqXX03+RTafiyuacdJarwxULGfFknHO1n7mJXrOCkFEi/FMNOoOyA/+vb/kfvAsTanzF/8M/m+/qUSOs9R78pbzYI/95Jvs597RviVgs4JnYe4ggizNhGWZVe6iprDuTXS9rmLONJWgXu/VUDQ4z3NE3EjrcAfDollcTXgBXFAC4LI1fkPK9aV9Npv5vr9hkTQn5Hlu4KvCZFncy1y+rgqYEhNFCGuhTGRZVrS6GAGFKlOoC2YwSSlNu/r9fr1eIiGR1QAAAQBJREFUN/pvYZpMksRkcDYDy5iTsywzxhdTb9T4YURRVK1WpMyVUuZXkxfASGLuu3SFYSzPM02acw4ESunhaFStVk3xVCllnmej0dAkL3UcdzweV6s1I61WijGWpCkR2ZZFWllCKMDZIg48B4g0adt2LEuMRxOlpOPaUsp6vW46KooipZTvBafd7v7+3mg0rtfrUbSYTmdhGDJEqZRSyrFtxnm/339w//5oPPJ9X2udJGmtWn11dNRqtfr9nm05fuAPBoNGvXH48vDhw4dxFKVZdnBw8Omnnzx69Lh7ejpfLJ4+fTqdTpuNxuHLl9VKRSpNAFzwjz/++Auf/0Kv3+OMM857vRjSK78AAAEASURBVN7e7u6rV6/uH9wDAK1Vq9UeDgedzs4P3v9Bvdms1WpRFHXarWefPXccxxIiy7LOTufZs8+CIJhNp67rPnr0sNcf1Gu1F4cvXN+P4ziO48ePHo1H41ar2ev1okX05I03+v1es96YjCdKqWazeTLsdzrt99//YafRFIwHgW877mQ6qTfqzz59tru7u1gsRqPR59773PPnL5qNRhzHlm1XK5XnL553dnZPur1qtbpYLIbTsW07w9Hwwb37n33yKQC8+eabw+GQMRZFUbPdfnV8Egb+bDaPk8T3PNtxOp12HC/SNMvybDyaPHnyxnA4BNBhJYwWUbPZGPYH7XZbSmU5dhzy4PI9AAABAElEQVRHcZIgYDSLjMtqWPGFEGa85XkehiEgJnHk+x7jrBJUj1+dIsMszdABRIyjuFKphH6olD45OT44OIiiCBG1piROwkp4etqN0rjd7gyGg8D1dprtw//u7+2m2eOf/omnf+5PGWsmIiIyAIrjdDgYBkHguO7ioxc//Bv/q98bH/74O8HeQztoUs3LBpOH77z5Yjys7uzSPMFcZZTnkzl2qsNej7RuO0Gz3Tp5+cpxrOjwuFKtaZsfn7z0OFNZ7EjgljXnUBG2k+YAIGzR6ezFk5lLLE8zqnqZxZSUVqqcSiUSLEtjpSXjTCCrJDCGbOGyINXCtgLFPI3tSuNFOpEWkzInL9cpfwAAAQBJREFUhKrt6XkMWc59l2UyTFUqM2pWXsmIPLfBHbs3Z7WKkOQx8em4G7zzlj2MbZWO0qnLeAss5dmac1czAi1dLpWC0LWF4yCPHIhVClLXlHBchztOLNB1/UhmYQ4ySy3PjWUmLItzJmw38ixRD/ksUXkuCLhWoCELPb5IpCW4hUxJkmSFVTWbWRKAsbzmLCZTV1ieYpJ0TsoOfBZnKoqt3SYRalsIFDRbaFfkSSJSSbaw6mEaxUjoNltKyVRLTGIGFJGqtBoySox7GqTaDgOymc4JSBNqaDYwWWjX4UCYabBslabIGGQKBVeuwExyzmXVTQQEXg0tgZwhEUPQjKk0RUUEhNmxvz0AAAEASURBVLkiiyEyLjUIrmSus8zyPW0JAgLBKck4FzRZaEsMe8N2owGOBa6tGArLIpszRLC4VgoUaADuWpohJ6RVdnuyLRIMkTEmNAISaJmTVEII0hoR9DJ6gAHnQIRaE2lUmqUSA18LhoAagRGAUqAJtIIiZT7hIom8IDD+jAQEDJcrCwEgKCIOgIDnyrIbgzmu4lTNMk20iGPfdZEvQzoIV5pKkTwZCyweyLCk8zxXlnyp5GA43N3ZQQ3AlnETSwuBcd9feSkWNgI0Hg8GVjC8EElrbex0toMMzzwmaOk2Siv3CcRlzCmsaTAbbh5a68lkYpazDTjq6rIHBRJB64u41vqk290KuduZAAABAElEQVTd3Vdazf/a/xz92j/PWRD8iT/g/OZ3dBIJJ4Cf/WL4r/087FS0IxgAg6XysKEGrFQRkHluOw5sh5wRURzHNyxdfdYFWus4jgtsic78S87pUusHjVJidKCi06WURSoNzrlRO0yIABGZVEmmKFMURQCQZVmv19vf35dSuq6LiGmahmE4Go3MQoKIJn+34zhKqTzPm83mbDazbXs0GgVBsFgshBBGn+h0OuPx2CQPOz4+fvTo0XQ6NfVKza9HR0eVSmU+n9u27Xneixcvnjx58vLlyydPnpjw6Uql0u/3Hzx48OGHH7ZaLaN1tdvt6XSKiOPxmHNuBLh///7HH3/88OHDdniCmwAAAQBJREFUly9fGqPy8fHxu+++e3R0VK/XoyjK87xSqUwmk06n0+/38zw3mZnDMJxOJ/v7u5999tnBwUGe58+fP3/vvfd+8IMfvPXWWy9evHjw4EEcpS9eHH75y18+fPn88eNHg8EgS7NqtTGejPf29o5eHVmWJSwxHAx29zqvXr16+vTpp5981mq3geDF4YvHjx5Lmbfa7elkIixLCBHNZ3u7Oy9eHk8WSehapqsRIaxUppOp67kAylR/klLu7+/P53NE1BqHg6GUMgiDeq0+nU2TOLFsy7ZsrXUYBgCgNVmWmM8XwhKz6RQQ2+12Eicm/CSXues4lm0jgOt5WZpKqRAxl7llWbQOjjcAAAEASURBVEkct1rto6NX1WqtVqvOFwsEtG17PBnnUrY67cFgmOdZtVpN01QIYduO1irPpWPbSBTHcbPRGAyG1Wo1SRLXc497XQbY7rQ5F/1+DwDCMCz0b2Nwj6L45OQ4DEPDNvB8AzUvomgynZiEHa9evdrb20uSpN1saSnTNPM8T5G2LGswGHiuG/hBmqWLKJpHCzNOLMsyo87zfM9zX7581Wq3wiDs9XtGz2bA5/OFEHwWRaPRqFKpENBsPrdtazAYBmEQRzEihkHAEJXWju14vqOVjqKo1WpPJtNKpZIkibC4lDnnnDNBBEEYCsaQiDG+WCyAo207g+HAc13PtiuViuPYUsrrRePAAAABAElEQVT5fEZEruslSZamWbPZiON5mqZpmgrLHo3HtmVXKhVucwIaDUekKHCDNEu11vVafTgaEkGtWpXmFc5zxZRt21mW7dSbSKr3939j3utXO+33/vy/5QE/8xAjmkxmw9EwDMIszZ7/49/e/fjYOjzNj3rVSlW1q9BL8jh17neoHaJSjubo2TScOo6dcQStZ6GoMlsOplprVrFhsXBSFEF43O82/FDGcy6EYuD4nowiv9kGAOJinqdus8Zd29J25lvWfke/OFE65Z0Os5z08CVLU2EJDZBYaANPZjOnUqHAEZWKjhIIPKdR1+O5SmZaKV4LgTPOLUDI81xYlh7OEVkyGSOBrNOvywAAAQBJREFUjUzLXBFgxZOooVNxrEoeZzbL81lm10JWDSSRaFQpdBkRcishySq+WMb8ITDUAKi0ZMQDHxgDBOJ8MZ2HrkuO4Ka+lSIE0kgaiANbXl1EIQBqpYhz42+OtAzcIwRUkOe5ZdvGkG9SThADBFDL5R2Rlq4AZGy4JpCQiAEunepg6TOXZaltna0umjQBCM6NZ57JzMFAL1c4RAKjfSxD/4zLHhCA0q9evnzw+GGxquEqIaVZGwtcHIqWmoWzWAVplUUBz3bRDI03wLmV8mKw1IaKUHyNomgwGBR1Cy6NsrqJXciIOp/PrzGM3JxMST2z0m3JCgC01qXkItVaK6X6/X6n02RYsaYAAAEASURBVLnG+FPoPRtdffHr6enp3t7exb7dOHPj4PotYIUQZYwczTNNyV//u6O//+v2OIK3HvNINh7dl59/IP71PygaISEQQw7I1mS7KLBJG1mKBU8ppbW+3rfYEPb7/TAMTcL0IAjG43Gj0VgsFlpr3/cnk0mr1ZrNZsa2OJvNWq3WeDz2fT/Pc6VUpVKZzWZGbTKXjMdjw5Bz7rruYrGoVqvD4dBoOZPJZGdnp9frtVqto6MjpVSn0zE403Q6bTab4/HYEnYYVnr9vlm8gzAIg8pkOrJtK47jMAzDMDT5SI20k8mEc14Uq3rx4sXBwYG5teu6pmkmqLXT6SRJ0u/3DQzw9Only2C9AAABAElEQVTT8XhstD3G2Onpaa1Ws23bNH86nfq+X6vVlFJAjADyLBsOB81WYzqdVqtVo1wax2QhhG3beZ6naco555znuUJEz/UI6Pj45NHDh7mUROTYjtZqEUWe6yqtkyS2bWGsWmma2radpmmtVlMKDIKVZUkcR47jBEEQRxnjLMuyPM8sSzQajTRNDOSWpqlSlKYZACRJXKtV6/X6cDh0bPfk9FRJJQTf2dmRUiFjx0dHe3t73W5XqvzNp28AIhFFixgQszRN0sTz/Nls1mm3kbHpdJplWaPRsITRbCLOOeOMIfM8L05ipVQQBMPB0Gjelm05thMncRiEw+Gw02lzIeIoDsNg+IKpkAAAAQBJREFUPJ5o0lmaVaoVE+elpKrXaycnp/PFvFqpLBaR67nNZtP0pMlmLKWqVivGQoqItXptOpmGYUCaBsNhvV4329DFYgEInIvJZLK7uyOEGI/H8/mi3qi7jkMAs+k0DEPLsrIse/78ea1WazabiMg5aq0tIZBhkqYIaDu2AZkMUMqQ4domlYj08jMR0OHLl6ZQ0rJFK9dGWkaEnbmQF18JSEpl21aSZlpTlmUMWS7z4WBYrVVd10GAIPA5ZyZmUElp6lUjQ8YYECFDrdRyjWDM3B1MuO4K9yUi27aAQC9BLFy6xBGtFmJiiJq0Uspsv8zExBlftkCT0rrfH+x0OsYujIiMM8YwNrgAAAEASURBVGNEJlolEGeMtJ7+yn8Pv/OD6HFr/6/+OWjV+Fo2iSRO0yzljKcgXQV4PHRQaKm1UpTm+W/8wG+10nd27VZVJ7FwPKUVt7jKJSMgAh54MkkYIFU9sIXOUkxyQpAM3IrPQMAS4lCAwFwXANB1NGhEBgCEoIGQISpauqRpwCVOgESaBAOAKI4Dz0cE5MyE82njGGogh0LdQURESZoRrCAEQgK9NNwAEUmlbGEBLXMTGO1k6cG31HOAiNgSHVkDCRBAwzIkgICIZvNZpVIx5pQixxOu3CFX9wSDVCx3yKt+NxU4C/jE7Af42gq6HNVr3w1KgIAm38GGxYhW4RH9fr/VapkBpc0kAAABAElEQVShuJKbVqndllpWkZ7NCL/0hlzaIpZBKLmUAGCfE2nlj7E6svpSpI6Ac96kxnMRiABOT052d3cvpptaB0LWqTiyYcCRUkZRVDhxF2acjQtvopwBgClSvH3wu0FPyiphZzSq7XMAGSuZWYivimwruu7s4V7R80ZlFEJcVINeq5wVtzBslVKHvdOHnQMJSv71v9P9339LpInX3refPsA/9FXn931e74YCyHj1rj/cgtu6bEa9KaWss1GcjOn2+pNRSgmrXlssFkEQbHTceoPN1mRld9t0aSooz3NjZzSFIw3NZrP5fG7scZZlOY7juq5SSkpprH6z2cyoca7jV6u1OIktNAJjYQAAAQBJREFUIWazebVaRcQomucya7fbZtnGVc1N27aNMEKILMuklHEcG1WMiEyFCiGEZVmmqrQQIkkSo82YJPjmqxEgDMMijRbnfDabKaVs27GETQSWJaJ4wRhyzotXLo5jxlihnJnOEUJkmURkDFmWZ7ZtW0IQLXeAjC0DmuaLRZqkfuB4nmeUD8dxVhs1phUxhlLmWZ66rovI0jR3XQeRcbOZXXlxmR7OMhnHSRgEQnBTgJmItAZa2Uk1aQQUgmd5bvauJlmfUY61AgIwG3RNWivNuck0uBpYAJbgSunCF58LRgQMQesVvmym8lW4uFZqNB5zxqvVqlE1Vlvws8l3JScVIwpX2Sj7TZsAAAEASURBVKfYchu9fCeVklwIowMhgF5uoJeymRn/PB6+wumLzfcKo55MJrVaFZceBOeq+Zpe3TCjX/OyPXv27PHjx+ezPl5J6y8LmT5bpWIiTUTAOdJlyPk13ArQen1O+eCDD955550b7tcvLj/r3C5mxlmBFkirZFAJQvo3/i/5d35VRin8mT9a/ff/mK8ZrMI50zRN4iQMwzReCNuyLctoi5o0/fCVGi1UnNm/73MYWox04fsIJsBiZSsBIgZL5UohKq2iOAqDkOMqRsQEra50Hzw/fa23FFbIRwGKmM1YtVotcu4UJ186h14VfgsrD4qrChvfavOttR4Oh9cse7eiwWBQq9XBRDaUAAABAElEQVTuXI9kvcmm0N/6qDBTkPm80beXQiaG8jz/+OOPP/e5z92tRRuyGW/Ri2N+A1Z5LaVpOp1OO53OxVsYuvlDNMhZEATbgy56RaXk1zQPsRSVkYiiKDJr65bciOjw8PDBgwe3Rc4unqy1Tkl7zJKkJv/Ffwu/91zOJ8EXPj/+/P7+n/rjyreFsTyvvcWGLqJ6RBTHsWVZ23dXweomeezPVjKj8RgXqG10c1pVsTSzwPr0p1cFlM6CzFeTYGHrLCQ2MsxmMxMaWfA0iGWxd9mYeYvmLN26V8l5TRGhq1p327e33+9Xq9XtXxKllFEli6QAW3JLkmT7fCgmeCKKIgMobs8NyolaVwAAAQBJREFUbpbU/hoyg2o4HIZhuCWqb571ZDKpVCrbZ1cxL5txNNyGD6zs+5fVjbmjVLZtl2JM6Xa7+/v7F38qXm0FJBRLo3jxF/7r9NnzkQ8P/spftN9+YLGlfS2OE84Y43w2nTquEwQBEGQM+Did/PP3wzfuLb7xfe+X/4DDRbEXuIlfrYHP1ycTOp/I8LXvdTH/SimzLDN5s7d5lOaOZkiUkmpnOp1WKpW7sdpYupIkMZhEsRpt+GXfsOFEdHp62ul0XivVpczXH4rx4i1F24BVqp3tuz3P816vV0pNNgBIksQgCFvyMVYLg55sv1jkeT6dTk32h23IKHmDwaDdbm8/2xhuN38YSJ8AAAEASURBVF8NL1XOzADTWh+e9h6392KWyl/7tv7ejy01HX//dOd/+st8We/0ui13MW6JCAGTJDNGIYZruMLtyXDO8/wmPmfntvul4KWwyvi6/pkxZpxybNs2hSmNNdCyLIM5FS47xfkGEigQzg2eeFm1BFwVpWGMbSinjLHC6f6iwJdyu4aopGS2Bf53PdxyQyKixWKxPR9EtG270WhszwoAptNpKVKZEbI9H0NlWQcAYDAYlPL4GGPtdnt7PoZGo9Frz1mfg64h47L5mjMJWOg6f/oXedVp98af/Uf/Wf69HykipQmAPM9xXNuyRL1esyzLmOyYkqo3qjiu/H++Lb78xGZs/QY6xU1SAAABAElEQVSX3rE4uL7rKwhxM95qdVXxRwWHdVbmf1Pt6tJRsX7ha8ksMFc1YYNnsV+9iu4AdG00rTgyHA7XG3h9S69vcr1ev/SE66+99GC3271V664hExh+8Xa3enwAgIhl1cErkYw+EUVRKbONQUNKkYoxtr2SZ4iIer3erZ7UxWEsc6mUBgKfM2VpF63gl37G/bf/OP9P/mzrr/x5Tuc2CedG69ksAVpTtIj7/cHJ8elsvkDGlFK4ecFdGlgEMr6WzuYyIcRkMtl+xSIiEwK5cRxXBOf7tPhwqbJV1AfcuPa1cuIawVroZSnkeV5Z3AaDQVkJ2BCxLI1KStntdi/1hL0t+b6/2VHQsgAAAQBJREFU/c7YPMQgCEopKkVER0dH2/MxtL+/X4qeV6JUuAr7fe0dXzvFIGKlUrmUVfHCckASJBDcn/si+/1f4Y+ftFL78E/+p8//7F9Kf/s7cy1NyTsAfdo90Vqa4nfy2en8f/iHg7/6N5PTrvPOQwZ83Zr72tWd3Sw74OrCM/1snVXRBDNpXrNDu/m9zEb0qiZc1ZyrTphOp7ddBgq269oqEa0X2Li+pa9dgfr9Pl4WyH9hwaNit7x+QnF3sw+8VeuuoY0KIuvy36oPieizzz4rSyoiKkUNAgADZJS1qyxRAe33+6WojABg/IBvePKlmkCcZC+evyTCSrXGAJEzzpjdadi2cMbGQqIAAAEASURBVB/uMMHW3/pimBOB1kAEWabGo8mzT59/dnh41O1974c//Pq3v/1rv/VPoyxdVfO8u3IGK7X4JpfzX/mVXzGf8jw31plSUNP1N3AbJgBQlsmvgKm2p16vZ4otbMlHa21sFqX0uVJqPB6XYtYEAOMXWAp+DmU8RCKaz+dEdLfZfP1l0FqbaG3YGi0mIhNbUIpPCWOsrBoPRVHa9aX64mmvHXhGPzBSFXzWp6dzmy5g7tc+l3585EwXyCz1yfOP/+bf4t/7MW/Uca+pGXO9IJnO5Aefdf+Xf6T+3u/ojw8Zm9m//Avi6T1jL1iTBQGQViVqLgpMK4ewtYV/EyRbZ7X2GYh/puKkAAABAElEQVTOOSOaMzfSdl/sqKv68GKP5Xm+Xr3gqgsv7lQ3HpaZRW+7Hl96R0Q0ceuFtwmZEEeAonM2dr+XboONmm5skabn19e5i9cWlxfOeRsHTfqhm7fuGur1ehveXWcj85Yve71eL2uxyLKsFLMmEZlos1JKIxLRcDgspSaQGQyXevHfSh5Ds9nMZBK4w+UAgIiT8fTjTz6+d+9ev9+vVipmGqG1Mr1n+wpCAFx5UKNSej5ffPDRRx9/8qw/Gj5/+YoQNbDecPThs+eHJ6/a9Xq9VqW1ZKK3bqAGk3aAsdcj4mflm0wU26165CoqkpxtT9fYGm5FjDFj+y9FKhMTVAorUwmqVM0x3gAAAQBJREFUFIMdIpbyshmXFDODbz9DFXG72wu2pV+tXiXLRcRXr14dHByU8hBNMN32fMpFEcbj8Ws94W6oaoRhePHgRSbmIHFR+wv/xuL//G3/N75tH3drDx7EH56e/of/eSTz4O1HM57L5/2qcoJmK3jjUfKkyX7xlyp/+GvIOG4iMVdqM7CKhFhPZAgmquI1dF17rxnqt3q+eMFH4tIZ7FJ1YWM/XYBwW5K5ywULKa2prZcET1xFtMopfY3Geb0k66ym0+l6+ZBtaAN0KT7f4fUcDod7e3ulSAUlea0AgG3bJda5KcvMAgCLxaIsnxPjfbQNh0ql+vDhwzyXu3u7ShEXCBeAdm+PkGIAAAEASURBVCJSSkupmYFsEJWS8/mi2+9P54v23m6WZrnSQIiAn3vr7Wa9+sPPPvv13/nGL/0BsX+noszLuyMCIdxMo1mqUFprYwotZZkhou27GAAQ0WRH214kk5N3ez6GXr16df/+/e35IGKBnJXCzcBU25MJei0FxSki0rckRDQpXSqVyt0uL9Y54yRR7PW3kYoxVta+HwBM9pZSBsO9e/dozTPS+DbdxMt+wwIFAMPh0ITcb1xu5rtzFk8Ezhl4buVP/mL2R39Ofvcj+s3v4Lffp+Mum8zDbiYxy+/d260fQMWXX35c+Xf/GHeDpXZwLn8CmEQQsMLDbiL2eenO0DKtdaF8sMtuCGQYAAABAElEQVSSGBVEZ9UptiW6Tc3ci2KYh2VCfAwCelVg2g2ZGwSumEtX/VDU9rgpW3PhZDLZyMJwESTb+OlSyRHx4OBAXygxsv6MbtxQOD4+LmVahlVJxFJoLQB/K0LELMuCICgFrQCA8Xi8EZF6Nyo289swKZ51s9m80zuIAMvKtUqnJ0f9VrP9/PmzJ4/fWObPPTNwL6eaJMkW0SxaLIIgDMOKUno8HqdJksVJ8+FDx3G++oX3SBMAaaBqPVyk8pPPXvzW733rX/2j/5LHl5l6by4fWyW093wnjmNhXR7NvU5nyJnJCnu3le+iHHeb4DaG3aVJge9GJlvm9nwMXZol7w6EiFf1Dywx+gAAAQBJREFU+aXgxPVkksSUIpXjOGZOKQU5I6LtxxURlRWtTWsVxrbkprUejUalpIUEgBIDAo6Pjw8ODjYsXOt2SXME10xvV5HruneYLoUn+M++Bz/zrtUbw9/+v/HVIM4SP/TCpw/8t57gFx6zMACbc7jR1uvSBWkjlQNcBszcUFq8NiDgtrShi1zo7XMyXsWEyISRKq2pYHaNkXRDgIsHF4uFeQ233+7u7OzcmckGgHF0dFSke92GGyK2Wq1SHh9cC6Pelkxo3vZ8iMj3fVPPcPtmGvhze6kMVSqVm4+Hjddh46fRaHQrlXFloASiZVI/KWW9WUeGnXYHlwmQN/UorajX7392dKprNZwAAAEASURBVJKlqdL64b2DRiVExL29XRTWaa9PSu11fqIQ8MHu7mIWHx8ejceT45PTJw8O4Ly7xc2ljaLohvv5cxOu67plTU93UM6WNtm18CUT4r69MLBKvVYKKygvQA9WkMbFrdWG98lNiHNeloEgyzLj87s9K8/zytJd8jwvBRo0e9DXBsrdkNX+/n5ZobuvXr3ano+hAhpcP1gcufSnS+GN4uD6YNjYfeFalDRjsPrjHBkC+2w2/uyXvvTql396+O/8Uv+Xf876k7/I/4UvWo2acLhYunwQwMU/tvq73DiFiEmSrMt/aT8U7SpkXjc7Fh+MJ8ZNkg9dT6ZjTb7DjePnv17qG3dgagDmAAABAElEQVTWOABGBFqBbTnr2OFNRuxVzr7Gz9IM+wKcu9s7boqpXCPARmT9xgnrAlyaB/WiafgaKvqkLI2KiHq9XimsAIBzXhYusO7LuCVt7xFeEBF1u91bvThXDHsgonq9fgegcRlrCQQI0TydpLNZvJC5Ukrj2u0MiI4IWZb1h0M38L/03nudnc4PPvrRxy+etzqtdrMBOn/ZHUpkGjQAmX7SWh3s7wShF6fJjz76SALRzXaVF8nzvDiOb9L5Z1vPAqbaXj8z29CbgxxEZGpTGHyLc+7YNreEUroseJlzXpbJD8oDvc1m6FL0HhEHg4EJqLnh48jzPI7jUvQzy7La7XYpb+9s2fIH2AAAAQBJREFUNkPEWq22JZ+yphJDpaRwM9Ttdvf29rZfGIho+4TdBc1mswKHuzgP4mWhdleRgZReOy1cgOVIKf3xJ599+tlzEDxVyolSyrNmu804t4RwHIuu230aJle6DRk35BJHhUkCXsoCzzlHUxTxwgxe7LmWXyUhx/WTCpQTAABJacXYHdu4AVEMh0OT0PuqM2/emRuBflddfhOGg8Hg0ix6d6CLmWPvTI8ePSqFDwCYwoOlsNJaF6nOtmRlrAdlGcqME8WtrrrKYXE0Gt0iMQcBAGZZ9s1vfavZagdBwBkfjEeLOD3t9aueqxmkSeq73nQxE5zXajWLWwB40usdHh5+7Wd+X+kRZ6wAAAEASURBVKtRr4T+ZNg/Oe0OH04ZsCTLXc8WHFfuFgREQogknfq+P0viXMltel9KaXLO38KsKYQwpbtKsfXcyvyUJMlgMMiyjDGWpmmlXnv/6z985403d9udnG6h5F0vUomulL7vl4KcIaIpWnXpvHbb5DGc81ICAohISimlvOgJfgcqa6tXKLJb8jE7B1OXbHupYAVIbM+HMWYSbW/PClZF3Iyb0aXK2brMV20PDNBSq9Wu8v5ZP76+QpubfvLpJ88OX82TNAg8lwvO+fGgOxiP2s0WEUmpueBgKhataN1JDgDYMufjpopmfjVa4/WO/DexAOItQ/mu5wYACAyRFV4ucN6Tz5ymbtiHAAABAElEQVS4vEBqUAwEJ4SzYkirDkEEREIEk+rxtsIQnbu10cyKx3rxzJv3wGg0Wt9IXHr5VZuf9Ydigui32SatcyvrTYQLDdyGDC5QltJfIuK1/YbZkNa61+vdvLuueStvhZguiYhzMZ5FX//Bb9m27brOaDScKxG61n6nMZ8t7u3sPrx333bYZDqbR4nvupYQKBhY4rTb2+20Asv5wtvv/uY3v/nPv/Xtn//Jr/WHY79WcSyLwcrlgyjPszRJJpNJJvPFYgF6WZ32tlRMjzdp49mUkef5HZZ2Ok8FZn6pnc4s+esnm/NNXjQ7DLuj8eHJ6elgmOTyZbf78eGL7qCvtQZ9cQt66u/ZawAAAQBJREFUOzIL1VYs1qjX65XlNbwsUXcZFTPpDbkZ/6ftpbrtfa8n13XL2jiu57OlGyTwvJSMMcW4nZbSxjtkorpKMJMw/bVn3qThpha7+bzxQG/bb6enp5eizgUfWhXtMKu+UnoyXvz442ffff/DD58d9oaTaDoXyPZ3dv/FP/SHQCnBTF1qBAKti5hBBMCC58YINHNF8bVEwKwYSCWOeaW1lJtbQa3BGCdW+qgG0GAzxTUwjWiOKCKFa3QRHbz5yN9o0Xou6Jto51eRMXSsC7BN15WFdQFAt9st5U1kjJXlHwIARFSWpcWYNcvCBUpZLAyrO0R9XTqMEfHWiAACY/De597Z2wQ/qwEAAAEASURBVG0/efxgb3fnjadPK2GlUqk2640333ja6nQy0gJZ4Hr39vbqtfruTscCdtDZ6Q8GJlZgd7fdajaGk8nvfP1blUZrPhzvtJtF0VkCEMLSmvb390PP393ZIcS7mTVplbXnJg/xDJSyLMtUvbz5nQp/qfF47HmeyaPTaDQ2kDPzMud5Ph6PpZRBEFiWZYp8m/KfQoh2u03AmpXaaDSexQvbdo6OT6RS+WncrDfqlW11/OKOW/IxdP/+/bKiuobDYYlu4GXhLriKk91+uZrP54yx7WM2zXu7AaPeTUIiGo1GJUaSl+VzZqwMNxlar2144We9ftrdpnVTqOfSO9Jacc/imMw7YbleAAABAElEQVTVBx/8+Kh7Gmd5nKQPH+0rnfbGw5fdk8l0tNtuN1rN+/sHAKC05pwRFULeNAjG3LdELPwuW/ariTHGxVVPEM81k+GqzPxSjHUY7847kILbxpHiIW78dKuG44Vk13fuNyKaTCZlTYBlYV3G56yswM9SfFsBlql25vN5KbZIIiorjh7KayMRzefzW2THRQACROw0G199771GvZFm2dFxN8+Fa7Gf+6mvCsERAZGR0kuPUiQAFJyfHp2g6yZJWvEcBfATn3tvPl589PJQMWCkHOdMVUDEPM/7g/5sOgOCt996a3Xvu5CU8ob+GGdJaJMkYauqsZe+1Vrr0WAwGU8E54CQSkUeAAAAAQBJREFUJMlwOPzwww/DMPz0009NIrHhcOh5noGpiolGSrlYLMbjsdY6SZIsywbj6WA4Ri6iKOr3ui9fvmw0Gr7nWoJXq2GzVq8GYZpnfhCkUWoLVq+HiOcyVN6WTJKzsjxGj46OwjAsJa+g1rosYMngkaUUZy1i+LdfrmzbXh8M20i1WCwKBHRLeC9NTS35EsCSol7hlny01oPBwORyu16qm4hdpIVcdzxap/WT18Hviz8Zb4eLUhWw2foxRJZk+WA6k4JFadyqVh8c7DFhE2EQhGnOBuPpN771rUajUQtDzjnjnDFkzJjwrnymBSxXWGkRsaz0nrAWRXXD8VCAbev+9bhKabKL0V4AAAEASURBVJtlqWVZnJ9lqiQi41xskmFeTEpy6dMxPkZmB7vRFXcYt8bBoBQdtN/vlzIBAgBjrCxg6Sa5/W5CZsyXmAPoeuP7zaWKosh0+/ZP0KhBpWzmDQgXhuFtVfyLw7hwJL05K3OybVutZsP3vWol5AAngxNN6NtOu1njnHPOuOCm2wxv27Ecz+31h/VatRoGSqpXxyeRlLbnD4aDeq3y6NED17bMs9NEL49Ofu9b3x3PFxbnj+7fa9Wq7K57EmPmvom3z5lyhisv/quuyaX8xve++933fzCaTGbzORF9+umzJEnTNBOWxThfRIvxeGxWdNd1DSsCiOP4B++/D0QmdZaUMst1tRADAAABAElEQVSlUpoxlmWJ4zqcW9FsWm80i6fi+36Wyx9+8KMwDBzbCnzfsrdSFBhjpsT4nTmskxBiy4TIhsyEXlbCXqP4lpV2qyzdZbFYGFeqUiaUshJkm+quUIaB7OjoqFqtljIYTNmJO3f7uh7W7XZ93y+S61zK81JXoYvTpdEPLmbju2SvTIAIUkNvMCSG0WLx4N7Be++802nUOs36bqvZDOuh7z97/sxybU/wZrPB+Dl3d1zhcK+/12o8lBXYcfMdLVzbdcY8bVkWu1Bg6qrWrV++cRdTuGWb8VBca3bOpSzt5nUuZcz3ej0DBZUy1ZTilqq1Lkv1BIA4js1g2J6VqclWVl7MnLnmWgAAAQBJREFU6XS67si0Dc+rwtpuSMVAJaKTk5OrwlZuSErq0TxO0uxgp1OrhlcJNpvPv/Ht7714/vzg4ODHn3wyGE84sN32ziJJZJ6BVvu7OwhARKenp9/89ndzTVLqt56+8d67b1ucA96lx4gojuMbrq1n65yBzfDqaM04STQwDazWbD1/+bI3Gmula9XqbBEzhrkmrahSa2pgSZoVmyFFGgQnhor0O2+/bVZESTAeT/r9gVTpyXjcPR3+9OffKm6NAIh4/+AgyfIff/Q+on744MEtU75tkpl57379eZrNZmUVeRwOh2UFKzmOU5Zmlue5UqqUgABEdBxnewupwfO218wM2jGdTi5WngQAAAEASURBVBuNRilIalm1NQFgOp1umaup6OeivOM1i+i6d9c1N71+T3zOhR8BAPM8XywWw/F4r9V++uBePfSwEmgixtDzevcf7X764tmLZ4f3G82nT3EZAL+iWylnJufTlX1xMzJtN57pN7+qaLW5vPCHW9eP14+sp5ZYv9B8viqhIyKuZ469LW30ZL1eL2WgmlmrFF8x4wBaivsEAJRi7wMARNwy+9o6mbT+pdT6y7KMiEoJsSIiU73efN2SYb/f32Y8rE9E2z/E6XT67NmrSqUSVoKrlgzG2L2Dgy9/+UvdbvfZi6M8V2mauw5jjJ4+eXxyfDxdpL/xm7/z8OGDNEnG05lijrBDSHxeAAABAElEQVTo3r3mF957x7UtWAYq3ZrMG31DDOVMbtOMa94Ty7JardZsPh8MBu1mY293FwDarbZWKs9yP/Bt25ZSxlFk/JqXyAQgEIZBBYiKjSkn4IzNFnPHsXNFqZbc9pMkMSGmAACa5rPZj59/wgS/t7/vOM42Nk1Ym/RLoSiKyuJWosNZFEVZlpUShGigwe35GCoFgQOALMu2r8RnRnir1ZJSlqKcnZyc3Lt3b3s+UEaiwRV4A5Wwisg2VAS8kH4WLizhZ19NMgfA09Pu/v5e4QlXnHkJbkQABFEUJ0m2iKI3Hj5o1OvGrxYRgbDVamqp337jye9+85vPDp9/8Utf8rnH2brkRqRuXAAAAQBJREFUlze/+BVW6jUAlJKNs+C/jQfbep+Y5fOGy941QBqsQLg7D/gNtuPxuJQisGa7tSUTQ0S0ZYjlej/3er2Dg4PtpdJal7VhhtXCWgqrciGGwWBQSncRUa1W22ZBXB8A2yvrYVAhAtu2e91uo/rkKlZC8C+9+3S42/5nv/t7klmu5z9+9Hh/p+O4Vs13D49Oxov0+Fv/X3Nf1uu4kqSXSZFauGnXWatu3erpvt2A7Yf2iw0D/g0GDPj3zO/yyxiGYfhhemDPAOPGve2+fetsWqiFEilSFMn0w1fK4qGWo6OMATqqcCBRZDCZzIyM+CIy4p90Q8/zfBWEdUP/za++H3TbSNvXSJ8AAAEASURBVG1zon3FrjgIhx8L4S23UH6qVCqr1eoEwtyo1z9/+Hjd7QVBOOh3rNdI5tcPVaNeNVBO8WtTGJtOZ1G80ZjwPK/X6+V5vvLDMFzHyUYz9F7TbWjan5++GDrXdd0wjDTN/vjTTxljn25vf/rzT1atoWma4CrA2TeBTkJ3d3dUq4KsjaNOCDNS54MlgSR8jTGWZRkyuyjy4ZyTeA/ByvO8d4SdniSqHemMMXT7xZdjTGKYh+t1MWSwqASU5MJR5ezrV3Z3e8c1to+p7ytngnGRsyzN81wYtZprO9WKnnOm7eauv/CdhtVttTZpsslSbz79zrwHKM53AVsHVfmScobSRoQSSGJHAAABAElEQVQZpGQo22VU6pZiZOSb92UnN5QALFFvFWOMJD8WqLRb82LCTFQMvZfDkrBwy+Pj46dPn9RZMcaojEBN0xDPTfUSB4NLakTukxDC930V5KwofIIgUPTYWHbjV7/6rlqvXF33jnkCOedMCNuygnV0dXPHK8bHD/e3V72qruWCff7urtty/vCP/zz2vE673TAblmV/vL3+9eePFY2fWIH2xcjBW585d76t5Uilcextcc65YI7VcMzGVa/LORdMHHxyznlRMeQ5a9TrvKLN54tuGG1zjwnx8PCoVSotxzWqVddxmpbtr1ZBGK5WgWWZwTLM0+xlNDR0vWM6tuuo6xxZlhGWC+KcvgAAAQBJREFUS6PKksWJSpVLItm/RjX5QY7jqLcKinUQBLquqztboXcSLlRUS8Jms6HI1ssYY+12syhFdnrbK+/bvpZ2aDozb+p1Op03I112zHkYrX9+eri/vdJrepRsq8wQFWQtEXmereL1H//8p3q1EUfZn3768+3gqlb7NjFP36KkQRISpFaR/zE18TRJ6XxmC998XsK6JoRElYZGUCReli1ZLBZUYplq2ztjrFarXVbZeb+aKtxh+0OraLqwwh7qfRtMni+EWK1WxYwh8qoST8yC4hsvcsb58JXJfDpyCuxKuL5qMGpxovyPrht5lgvG5F6Zfr+PwtzgJvJdY7gQe2g0jsBrLBWK8YoAAAEASURBVHblaHlF++3391maRkFU06tVo7rdbrnGdF1PkqRWq0VRVK1WUU980OvWDMO2nGSzEdttvM23Seq6jqFp//7f/r7fbi+jsNvpVIX48OFuOV/Ytpnn+WazcV3X87zBYIBQTs55EATdbnc2m3U6nfl8XqvVdF0PgqDb6S78pV6p6Loebza2bS/mfrPlrtdhpVKp1+vD4fD29nY0GnU6nSRJVqvVzc3Ncrl8VVvzjQTZ/Ou/b9+OKIavUErOW61ma9XK83wdRcvVapumURw1GqZj26Zp9fvdJEnSNPPX8WQyWa9Do6I1GvW6bfmrZbteJ8kDTuX4B7muS7U8UNWnYoztF42uEmA2AAABAElEQVS5mEj2aYImk0m9Xlff+iSEwE5G9SadNdrPJt/3qbIiES0tjO1qaxYOvhLf7JD2UHax8a9/MRjEW3XTGWNMMJELwViSpvV6TatoOWoRfzXkWKPR+MvDo+04rVYrDqL1Otokm2pNPyZM9h7tlfeQKjKaHdFWLyA0LE3TM/m86fQkVM7W6/Vf1UBlFBhVsQNV4vNKRJhnJ4qig/bkQQPgxEEhRL1eRwJ9KDdY0aTahNECoA7lCrEcyO2BSPPOOYd7VNf1LMuiKMrz3LIsQFbL5RJodJIktm1DuM3n83q9XqlUkGHk6enp7u5usVhwzqvVahiGV1dXX758ubu7m81muq63hrexNQAAAQBJREFU2+3xeNzr9UajEZIkrNfr6+vrh4eHu7u7+XyeJEm73Z5MJne39/PFwjKtIAiSbXx1dYWCKyif5brN2XQ+uBo8Pz33+p3ZbGaapmmanufd3NwMh8NerxeG4Waz6XQ6ODgajdqtbt3QNyJ3mq7vL5vNZhxvBMuazSaqEAVBgIRfeZ4zIfSKZhiVbYJO5FXDyNK0Wq2atdq//uFzykS1Vs02qRCs1WwxngshgIt3Oh24dDFJoX/DTd9qtdDV1Wo1y3LXcTjXhMhrtVoUx51Om3OGNZFzjqgYeNJrtRo2ozSbzW9KLgJ61MsgQiEFMiEHTRzHD49Py2DNOatUKvl2c319bUZmf4MAAAEASURBVNs22pFl2Ww2m8wWYRgahrFJt2G4/v7DxyxJHNciQV8xLql8/4+Pjzc3NyQxnu/KrfwmN0G0ZxvVyklQPWQYVg9iBeJtGIZ6zBljbDQaYVyptwrpv9W7Pcuy8Xh8dXV1TqvehHZ83zdNs2Sv79viYpc/tnRQMs+yDLu6zsEahRAZY//8xz/9j//19zfXg08f7gadZr1abXc6jLE8E//z7/8QRrFtW//4j//E9YpV0//Lf/5P1YpRbIBsZBGCKj2pRFIl2H+OEiON+K+gfoFhlmXr9RqbzqS5LzEDtqfd7qMI8idsN3FdVzoQ9uP9SyClRCa+ogWFqBTUXEKTsBKXGlDRS1qMAAABAElEQVTkKfGSYqvkmbhWngCepffOCxsySh/kZ7FLE1i8HVhBaZCCCOFWcNbjg2EYSZLIg9VqFVv4l8slyq5EUdRsNrGzHqG99Xo9jmPbtsMw5JwD+XAcZ7lcIsoZkmo4HBqGkec54tx93x8MBgikmc1mtVrNMAwwn81m+Ms5B9TRbDbn83mj0ajVasi79vDwcHNzEwRBkiSu6y6XS2AklmXFcSyEaLfbGH5I5dpsNheLRafTeX5+hmIXRVGn04Gcmc/nyPkShiHa0+12l8slhAZ0i8lkgsGMRgZB4LrudDqVqEy/3x+Px51OJ4oixhj6p91u4xZBEDDGXNf1fd+2bWxZ45zH6qrtrgAAAQBJREFUcdxsNtEP6LGvZXgcB5tb1+s1FLXNZoOyjxCwSFYKVS9NU13X5WuVgwqfhRAvLy/HStjty5wTJJUHkhK3k8kEubjVhXwYhgBTFTc7Q96GYXjOduBvqTQAJJAs7XiXUp4CqKjWarV6vd1qcY1fDfr9fh+jB1StVqu1Gjwf1WpVr2h3N7etZtN1HfUVlBXeuiIfUBzHJAEceZ5jcztJqyBKSKJwIARJYIkgCBAbdHA5YXvr3P7awHaTDfE3579EUcD5iwc555cZIUWG8vNf/vIXmFAH73Xw8oPNy7IMgri0iu/fcf8W8lf5QebHkus9jhftbLaztoud/K2XvlYvYVg494rvTJUAAAEASURBVEdp6U19fYpc5II9vrx02u1atZps4jje2JbDGB8OR3/43//nd7/73cOXB6NqMM773fanDx/0il56RjkS4DIuPoIkeFJk6L18Oqn3YFWQGoms+ATkQOycIGwXQRXHMRhuNptKpYI1GOoCrG3DMJBpD8K6Wq36vs8YS5IE6RKwBgM80DRtPB47jjMajRqNxmQyAZzm+36j0RiPx7quz2azKIos0xoOh47rvLy84F6j0ci27cfHx2q1iq2v9Xr9559/bjab4/EYbX56enJddzgcWpbleZ7nefCzmKY5Hk/W68gwqp7nWZb15csX0zQnkwmGxOPjY7fbfXp6Yoxtt9vhcNiQiqRzAAABAElEQVRqtV5eXmzbfnp6gk6ABniehwrNo9Go1WqNRiNN03zfh/sGGWR+/vln4FXgA2/ObDZbr9cIYm40GtPpFBlP8BW5ytM0RZaQIAjq9Tpy6eV5jvhUyGrEomBJMgwDmgG+YsUFKgPdAmnGO52OYRi6rpumWalUMAXq9TrOQQoDqOC2bWNU40xYMpVKBXOw2WzC5WRZVrVaBWZfr9dhHDYajTzPocTgK+ccX1utVpGPZVl5npum2Wg0DMPAHSHza7VarVarVqv4alkWNEi0B5fbto1U7dgxDSnaaDQkN8YYlvl6vY6nQ6Y3nKDrumwGY6zRaKCjwGcymbRaLfQMOpMxpus6BaZeZgAAAQBJREFU+nb/r6Zp8oNcuFnBp3FwvSgJ+dMkhFgsFlRl+jzPcxyHJHcMxMKZgaQnSAiBxFLnqIzfBCtEobr6giqW+8lsizL0oDqCFLWbzUYIUavVEPyIzUrqnZskiZxO6gQ9Wl2pyrJsPp9TbdiEh1QdHURqKwgI9VYh9V2x5/nxiEgZtXDwpxLGI3bYhlzUS5zFERQBSC3iqEonF29XRFDwGX4EWJPyp6JOKR8Qpg7KdFSrVUxsOBcwQQAhNBqNMAxrtRrMKWQkNk0Taz8sCmAGtm3P53PDMHCJ4zjz+dyyLMwXy7IWi0W73QZgtt1u4zjudDrL5bLZbE6nU855r9cbDofX13U9HL0AAAEASURBVNcSAMiyrNlsfvny5fvvv396eur3+1EURVHU7/eXy2Wn052MvXq9vtlssnzb7/fn8zm46brebDaXy2Wr1QLGMJvNsJItFgvbbf7Xv/vv22TbH/TbrfZ4PH5+fv7973//3/7u77jGf/PDD//wh3/44be/HY9G//E//LumbTbqddtxxuPxzc3Ny8vLYDAIw3C73bquu1gsBoPBcDjsdDroH2AMnU5nOp2izM5qtWo2m6PRqN/vr9dr4AqDwWA0Gl1fX0NdgEzsdrvT6RQQQpqm7XZ7sVgAyQBmIISARwYPi4UtDMNOp4PNUuv1GmY9FIs4jjHd8OKw3xwKnGVZ2+0W0A5sqX41AAABAElEQVQ8SpVKBUqJhCLSNNV4RatUdoMtk2NY7lmTSeZKg7k0m+RxTdOEYELAT/xtTMLhJXaJGA7iGWeuo0IIdBGJAHx+foZbR53bZrOBbqHIJ03T5+fnjx8/KvIBwaRUt5mxGgJEJHHa5O8sgX2QYPZMJhPUEVFvFWYoCfCBVDskyhnwRfXUmBD+Z2o13/YwYv3Yn/9y1Ska3K9Y7EUjQkgVfy2RNG3lryX7W9rNWMCkj0OehsWvuJYXoxH3BRlkHOzsogwqraylVfygtMrz/PHx8cOHDwfX8lJj9m8hn4Lv0otL/0JeKFAov8pz5IoOmxLJlJHHP45jwzAWi4WmaZ1OBw4aQ78dkwAAAQBJREFUWPOc8yAIms0m3i9WONd1ZYQBDN8kSYB+d7vdxWKh63qtVkMljeVyiTNhluGg53mw84Ig6PV6vu87jjMej13X1XV9tVrBtr66uppMJoZh2LY9nU5vbm4WiwWw9zRN+/3+aDS6urryPM8wDMuyVqtVu91+eXnp9XpRFCEzCGa+53mIe1gsFvf397CKlsulruutVms6nXY6ndlsJoSA4gJdBC4h3/dvb2+fnp6ur6+DIIA2M5lM7u7uxuOxbdtCCDgORqPRzc2N53nQZnBrGfIZhiHa0263cWvTNKfTKbQZqEpFrWixWDDGWq0W/FzL5bJer0Njg7IF/cC2bSjECPh1XScBCqEAAAEASURBVHez2cBHAyABbxmueVlmDeekaQp/fSkAZR8nLqJoxaELMGl/HiF6LRfC87x2u1Uy9Uo6wbcZx3guxD/93z/95cuDbVm/+ZvPQbCK0my9Dler1U8//mRZpqEbd3e3/Xbz17/+VWMX0CZZFScLJkKxYfJeWZbBL7Nf0UvO2YPzrjgBRQGiwzSRTKR7TrKS3kmxBzeWzsH7gkZVEn1FQQdFCn2KZG+lBud5jnn65t77179KKPqbO5Xv0rjLZJbs0mVGUTmTPcY5hz1JlQ5aPdpEvhrk4ldsDyiOY06RfEQIsVqtgKup95UQAt5VdT6Msdls1m63SaqkbDabUkmMi1v18PBy+haBAAABAElEQVRwf39/zNp/FzcUF4ZEVVfO8l0hhNMnf0P40zSVoYtSP5CCu6QuMMZ0XQcSAJwf5iC0B2z8xFepIkDNgpIk4TEY36gcxTmHL3yxWGCdS9PUdV1YxvP5nHOOD+12ezgcArEMgmAwGEAPgF8PZvT9/f10OsVauN1u+/0+QqRHoxGWcxS1fHh4gE9qu90Cur++vkbcAGJHbm9vJ5NJr9eDzwIrdK/X8zwPWdm22y0UEYQoogODILi5uXl8fLy/v4fLoFKp4ELcYjwec86xbCNuAJ8Bob+8vHz8+HE8Hne73SAIELAZx7HjOEj35/t+nuftdhu9AU0lCALOOaIZXNeFNwQK5EtnLAAAAQBJREFULox+wAOMMdM0oc8h/kNqfihqhIOcc5j++AtnihwJEgHd38Ujf4IUXiwWlUrFdd2i/irXBijZ0ntVyrRXXEHzwk5DjJbDysGhsJtvw32nvr+8vCC6q7iCgmFJLshLikfkZyxUvV6PJOYs36X/Lt1CLmalS6S6sP/Tjz/++OnTpzezIklbZT/kS7ZKfn1bKgmklOWT+fKf/99ffvnl5/ubwW9//Td/+vmX0WgcBEHVMLbb7WAw6Hc7N/323d3dxQs85DhJuR7GWJZlq9WqlKuluL2mtO+s1F2lc6Tn4mDL2dnyPcuy6XRarGH/Liq9StgG6qVNhBDA/9SVsyzLANyqtNyWbsoAAAEASURBVEcSoj9Vni7f1YgkdGhIjUqRD/oNgSskyhmmjyIfEEqfkShnz8/P6lVN0Vel8CoVbkmSMMbU3ZrA86Tv+PTJfLVawSkO4G6z2cAdDrUJoZQAUVqtFgL2cQOoTY7jIFbDNE1oUaihiZ0RjuPAzwIjCeeYpokgcUSDAv/HGon8QDD6oTUiXEluPCnGnLLXYEDx4P4iXcQFXz3/RR39/Px8fX1d8q9dwEcIAY+VIh8Q4jZOmGgHF4b9mwohEBlTYrXfe2+2me9ye8oZcpDJOQxhOFar1ROZWt/sQKnSYc1jxwdAsZ0nkAb0leM4VBsCBoNBCYcXr2Hd0t2P/SR3wBRVCkk9f6WCAAABAElEQVTydexzEAVsCSQt7DN2awJ4YGmejybLP/744y+PX3KRp5uNZVm2ba/XUbvdvO61v//uu2bTvdjjgIYhlpxKOYO8YnvOgeK4FQWQTLakeKbY1aWFGnSw5exssYPO73Q6F/eS/KtpGtJPqieREUIMh8PBYHDZmC8OuTRNZSFmlSaB4BNXRM6wGI1GI5IErYwxPCMJciYDSf8lImpUVp8Lev6gzQlnq/oDSiHf6XTU3ZroecMw1JEzqDQYD2/y0RFUCNxV0zQkieCcI0Vnt9uFroO9OTIhgmVZQgh4AaB7iV05iFarhfGNClnYvA1VDByEEDIcG3qJtO8hzvAVITtoFRAOTKXElQAAAQBJREFUnCMDQotfS5+LAhR/EeFBJQVK8MbFPEujU7FtiGs5rSqdeRDaxv5P5xwpkdz/fOZjnvgVGO0JS+j8NQ8hvafnbfGnE6dh79g5932TDgZbvPeFguChfjOmRKpoUmk4yBM26GlWYMcYY0zoFe160GT8c7Whhet1vN6YprlaLu/vb//m8/ctx7IadaYsMVUuLxEePN9VQSj9dOLIQVPnRCqNd81xIYRKVFBJ/14ul1SJl1X4FHtA0zTP8wi3q6szwXpHWLiFqkIA3mMQBCTS5k0j+V3U7/ePcXuXNYKYM5LKYLSEmkskhbPOT3qnSS0VUa58txcDx4vbNIp7NOQJoOJVcoAZROQAAAEASURBVPksnnaBCsI5Rw63i3uhSMhrR8KK7er+krBarVYkfBhjzWaTSgoEQbDZbNRZMcaw3emvihXnHEl6SF4ilSiBqUfCijEmw1d3xBnT8P+gSnoQXcN0RlaI8/vq68SvaK2m+/Hm9q5/9fH+5u5m8Jtff/784aZp1W3L5K9lwgVU0jzUSezc5dprKt7xTStcmoJUrUJ0BwkrQoUDeShIWBEmqxsMBooc+K74xHA4JGkS223FUOeD8UlY5qGUy02F7cvLyzHY7CByz47MJk3TSLZqgqhqt3DOkWeEhBV8g+ec/E30kECvrODJUieSsj8gGSZFQvAFk7BSFyiSptMplRzfW9rYG0BtAAABAElEQVSViKqvsJlXnQ/nnMpnwRgbjUYkfPhuN7sKyUFezIklf9z9fwdpmrZYLI5J2BPEGTPr1fu729/+5tf/5re/++Hz53/1mx9urm/+SgouHeQmGYoCXcCNExWLg5OBZCbCQ8qI1NlvRZCViTBzLAaqCgfpAqatrUmCC/Dd/gkSkuOBhE4bqOcrW4gKuOAlHpyqhA/YaDQQdqaoOIr35MT4NmgQTKZyY3l7Kmkiw8jUSdvlNCIhwqlLtbQzxpC0hoQVle3CGPN9/0xD4U1CaiJFJgBsPM8jWRLgx6fqLkLERULO/GvyEXFCOTuNCV0Wt8EZ0zjXNV41KkZVNwxdq/AgWEHGI2Z0gwAAAQBJREFUkRAV9im5Fb+qKGeEFb3UmcjdMzIjuTpPEv8OCElcSUh9w6B0E3358oWqVVS4AIIxlsslFTcqHzdjbDKZHGvVu0SHeE91jdPEOacCPoQQyNLClG0biJQztZpXdbuoHH9yz4sicc6Rd0CdFWEGWsbYL7/8QsIHwXwkrBhjqxXNygcUl8qcRbZhEla+76/Xa0UmmB4IiFR/Rs75arWiEpfIxvfmmfvzCxO+ePDq6qrkkpP03oaNx2MqmEoG1f5LkEoj+ZECya/5szyX/1/1dunWWI/VxSDWKlHIr3sBE3nharU6NubPXzBAyN1/QWP273t3d0c1uqgsLkbqAmZENfr4Lrnvz5MAAAEASURBVN0/lcpOGESBVILqfDRNo8pgwhgbj8dUrBABr84HEvhMnEiT11QqFUKjloSQM51qVaAKomKkyBlhq6hsDsaY4zhUi+hqtaJCzqhizmAJqfMBIZU8CavzTf9jS6wcAMjVIn9SUc4I7QdaXyQhib1khOdcIj9jl1nxK96j+sMWrVNFbkiAfHAAvJfzxRtI9wlVFEmIpNwcox6l2NZGwgr5pUlYCSGo8mgwxhzHIemxPM9RdeO9VJJs+Ey1T2uf/8WEped9bk0MR6pwcqpwJWyRIMHzCHO6MMaosGXaMIJ+v0+iUWVZNplMqKSA4zgksgnAElV3QTkjmW8fPnygiik5MwxXPIHeAAABAElEQVR5f6u5DGOXRwaDAdUQBZ5H0lfr9ZoqumBf+1EUoEXVtrgtoMCfadrX/yAJSuHWUkWDAFTPCMA5l0DCxdzkgziOc6x/3sucCpMQQlDVUGe73dzqfIQQnuep8wGhkoQ6H875er2W9crUuVEtiCjzQMJK0zQSUxD6DGEgU57nJGsr5xzVyc45uez4UL89NqeQsIJGRTIWa7UalbbB6DAqUcgqok5UGwI0Tet2u1TI2Xw+p4Kp1Fc7SdjIoz60IMepUARCZ8p0Os13hSZV+JC45ySh9CEJK0Yaooc3eFmE6+vO4YzxNM0YBQDDd0XQ33XVsfe1Wq2wXKm/TYQrqT+gpmmEEC1raAAAAQBJREFU29XVYx5AQohPnz6RsGKMoYi7Oh+gJ0jYrs4NxSfU+TDGOOffffcdFXKGqiokROV8ZzuciITV+RFW314zlaaZF6oRqxDnHDXpSFY+GbpBQlShlChCQMKKMdZqtagwy/V6TYVRYas8yXhAwSj1JnHOIZjUhxbnvNlsUtmyl0H6x7iReGeEECQpdkFRFFFp6kIIEkBC0rsGg4SjXneyxhgXOUPRCxLNOIqi987EYyHYqHtNomojzpJkdKH0pCIfEGF+rIeHBypWhHvRdF2nQs40TUMKUhJWs9mMyntAMj6BfBPauvBFUm2meV/MGWMMOVrV7629LumjQmKvls7FBFWPhOjjgnYAAAEASURBVBVjjCoLDuecUKBMJhMqjYpwH5zrulQhF4vFgso4phJMQojZbEayp7hYn0rSxdwurvmzT/P5nGpcmaZJFTUoCunvqRieb0XsvyDOOWOCc8Y1JkSuKSdyA0/TNNVlIJoaRdF2uz2W5e6CniQREf1+n0rUUO18r1QqhFHFJKYpCDX3SLoL6V7V+YCoYs4454Sb319eXqiyPVSrVUJ858wH/DbtcXv1GxM6ehmd8D2U9ulyKlU9v5g454QoLlVOOMaYYRhUavFyuUTpX3VWzWaTKpUG6riTmGiEiqx8g+rKmed5VHvEOp0OlWFDiMjSmlsyaOwy5Ww3BoQQOcZCoX785UQ/jglrAAABAElEQVQYOiObKg5tSn3vYLNtm2TkCyFeXl6ohDxVpQHGGKFDg51T9+wMQrhSFEVUyBlVjlbGGCGGHQQB1Xi4ubmhksxil6Fakc+7osy/DRrUXFK8NysMRPUnkd4B5UYx1F5Q5wMijIcl1KhqtRpVhjnCLZbNZpMqcHC1WlGl0kBWP5KpS2jqLZdLuai/a+UTQuSvaTAYHKvtKM8556UIIXzfp/I9UUUNonNQKl6dG9t1y7EOF0cC7+T5YpeKQkaJUc3EPM+pEFC4NUttLu4zPX9IUIEumqbd3t5STZ/n52eqdZ1wn1a1WqVSr6MookqgTxhzxhhbr9dUM5FQZXx+fiZEZKhC0+MK+AAAAQBJREFUb2u12rvdmoxoRBI6GpIkodpRcn6PnENUTjFGmkqDqm4B57zdblPls10ul1SBg7VajaRVWJCoPO++71NB+jI5mTosMRqNqBLzmKZJZdgQ1upBbCuV4sI5vyBV/UEIitEt7ZxzKqSEMRaG4Zsy8Mx7UWFUQghCjYrKTBJCUGXlYIwlSUJVekfmqSfhRjUT2a4Gtzof6P1UDWu324TygUo5Oz9+7FuHUiV9FkKQsIK4pBJztLHDVNoGIy0O2O/3CZEzKl22Vqv9VfUVYkUJt+4S5gKYTqcXPGNJauABHceRZW2LJ/NCkohz3osEhEheYpqmJNbIQd/cpbzwn2/i7UFgDyHsMSAAAAEASURBVN1b6q6DZ8qDhMXiSLQEvPRms2kYRtEVqx2ic7idyAj/XiLcrk4Vj8UYI9yaYxgGyeojdkmqSXqe1mmzWCxIlDNN01zXpRpahNvMoVGpjy5IkjO1mle7NUmWduTSVYyYASVJQmVqU5n+CAEJw5BKUSBEcUejERWKa1kWlc1BmHwoz3MqlZFwi+Xj4yPh5gmSSDjoLnt7CS8hxOdRuTVN0yRZjLlC5osjDJluvL0PTrymg78yohgjyZOK22w222w2JGO13W5TOdeoEHrGGBWGzUhLHhMiZ2KXVE+dm6ZphLncer2e4mSUcwrQIMl7DIKACtwhTGJ/fvzYK+WMBE7IsowSL8tYAAABAElEQVTQCUJb6pWKFeEWyzAMqVhRSUw4U6hWPioHIvxr6mIOw+AyjOogUW3Y5pzHcXxBd2maxrnG2Nf/kHGLxYJqU3q73a7X6yQvMQxDqgpjZPoZZ4wzwQRjh1kV8SQZq3dMOWM7+40QLSaM/qTaKkuVnEzTtCiKqPqKMHUCIXKm6zohWqwR1ZvmnNNWiCYxKWF+kyA7jLHBYECVVRFlHkj8gYZhvBs50zSNKomUdIUoshLvrPh2mhWh+5lwiyXhNgXCgpiE8XnIkkUyGIIgUHcQoCWu61L5nk5HBZ0/hhHe/q6OkjHdQuSMyf+ccz4YDKiiQGaz2TnI2TkiFXm2SFqFGX3xp33v8QAAAQBJREFUuCq9FzCUPSaO7ACQ7mCpHfI90jSNdm84Fbc4jqWet18b9F23oNI+hRCdTodKas1mMyo9j7CcDKfbVoyNJlQ9P5vN1PmAqLZ8cc4ty6IaD4Q5gDhpLZ83ReVXcVQ8ROomoIlQKQZJqFClUqGCJTnnVGFGAEtIWDHGCMuutVotKmfKeDymcorZtq0uNNESwm5/Uzk7kw983O9yax48k3PGOR+Px1QDHuUi3pzR5yj0hOg1YyxN04tHaaklnPNzioiU9LCDR0BU04dKnWUFsxlUUs7exarX61G9ysfHR8KNflSKC6F1mmUZFeqh6zo2dKtzE0IQlp40TZMwqyLV3CHMASO4+RoAAAEASURBVESIE2VZ9uYDYhWo/O3f/i2+I8Gder/g3iT9C42KJBAPNTRIWpUkyWg0OlGo7nwSQsRxTBWYCZOdJGXlYrGg6q56vY4NIurdhXIcJJIuiiK46tRbZRjG6Ylz5l3yPPc8D0lHz2/VPnLDdnJcvkHFZ/R9H0PrNB956xPnANyl8k1nWaYy4IvvRez2hssj5zzOsbYhWFZ9uRJCLJfLer1OgpdIVK+oVhZ/Pf8Wo9GIJDtunueO42AFVX/A4XBoWRaJAFytVrKqqSJxzqMoOuZQFq+3tux/LX5er9f70cDyHOlthxohCiSPFEu6+b7faDSKB0v0lUkuhGBCsFyIrwd25wOPe28pAAABAElEQVS1z3MxHk8a9YamcRlhDAUXZ0qYVros928KPkxw07SYYEIwwViWZnmesZ3hBy9BlmVpmjPBttuMM55uUyHYJknSbapxLY5irlWiKM5zAQdXpVIJgkDTKsEqSLepYDwIQsMw1uE6F3kURVEUaZq2WCyq1episYBNO5/Pa7XadDo1DANBt4ZheJ5nWRayjsdxPJ/PG43GdDqtVqvz+Xy73WZZ5vt+vV7HwclkstlsarXabDYzDGM+n2PdwTnD4RAaznw+xyW1Wm2xWGy32yzLw2D9VTkDaqfruvrI5pxDaCryEUJst1toZiRqELgp8mG7lY+kr5AOgEq7f3x8pKq002g03KURUQAAAQBJREFUSHLuMcY8z0PKA3VuCGek2rZy/o7F0/Tzzz+32+1jg+H80SuEaDQa+xjMCdrXzOS1MEDVDRuIznP8Kec0u1KpUOU3xoyGtnHB5aXWYlGUScXe9RZKrYIsJXlMqTKS9BjiqKREvVgzY4yhSSQPOJlMqKRNmqYkfQX7gUosh2F4IjlZUUHBWyiCNBLAE4VEejgiA+eBH+Nrmqbb7ZbvSqTDrEqSRB6sVqu+70O3YIzV6/XFYsE5D8NwvV7X63XYh8/Pz9VqNYoi3/cbpvn49OzYzmQ8ZkzEcTyZTGzbxnLz/PwcRfGg35/N5pZlIqVwFEWr1arRaLy8vNi2/fLywjmHNrx96zYAAAEASURBVGPb9ng8bjQas9kMGwdHo5HrupPJOEnSLMu8iddsup43hW60STacc8/zHMcZDoeNRmO5XIbBWtM0f+nXG435wjd0PQzXm03caDRWq6BWr0XrSOOaELkQebVajeO4Vq1tt1vONd3Qt0lSNapZlul6BQIEqzA+wNiGqgD7tlqtAlZHCi1UEdR1HagKFNx6vY48oxiB+MmyLBiiOFir1eD/NQyjUqk0Gg3cC8MDlyBdlGHoVaPGpZ4La099RGIzAonikmXZdrslmW++75umqQ66YBYFQUCynxFgCdXOIMxkklZNJpNer0eiBsE+U9dlIVAqlQoJ7rJYLBB2pq67QDiSdPtwPIeiAAABAElEQVTLywtSnakP+MVi0Wg01Psqz3MIegiUE2eKM7aSBUGQZZn6DmUsVAD75aQ+3QCx54YrwmYYXRCv4nieDvlT8QMr7KRD1OBqtZIQDn+9caF0ufwsm4fPfFcaNc9z6Bx5nstRUTy/+Fz8dUFVIYSmaYgPkwu/hM3kmfI4biGtazwLEA4UBNR2pfmm0ym2FwBRgJaMe6EgMroxz3PDMJIkQVKkNE1N04TwhEAWQsRx7DjOcrl0XRfQeKPRWK/XrVZrtVrV6/Xtdrvdbm3bXi6X+CnLMpzsuu5oNGq322maBkEAPoPBwPd9OOKXy+XNzc18Pndd1/d9znmr1ZrNZt1u1/M8JzDeCAAAAQBJREFU2EJhGPZ6vdFo1O/3p9OpZVkAOfr9/mw2a7VaqCZSq9XiOG63277vYzpst1vTNHEOkBJ8xR1t247jOIoiXIK/zWYTU6DVavm+77rucrnUNM2yrNVq1Wq1PM9zXTcMQ8654zjz+bzX62Eu53m+2WxM04zjuNlszufzSqVimib6YTab4Y44iP70fd+yrCzLsiwzTXO73cr3CGSrXq/L9OxyoBan+ZmCaDgcIvjhnJP3CbMDo4swuelqtYIORCLkOecaRU02jPlzHFPflDPgbyTmC8kGabynPM9JlLMoijCj1Fu12WzCMCRJcAeclspEe35+vr6+JjEcl8slEmWdf8nBkYOWdcQAAAEASURBVCOEgAn1rmcUR7D95XJZqVQsyyouYPjp4JJ58CeQFAfs9aIu2e7zYYUlTS51jLHxeIzdu3LZY2+tuKW+wvEsy1arwHUcvos4P325FKb7CBDmP2AqeS0/FM1Wagx/vZsHt1utVpqmvRmhcnAMlB5BdrtslYzAgCYB/WCz2cAVjtmx3W6RLIpzXq/XwzBsNBrIb47066Zp+r7vOA6mOW6xXq+xFlqWhQzmtVotDMNWqwWfRbVaDcOw2Wwul0vLsubzua7rtm1Pp9Orq6vn5+fBYBAEQZ7nruvO5/PBYIC1c71eb7fbfr/veR6UhlqtZlnWdDodDAbD4bDVakGHaLfbnudcc9vDAAABAElEQVRdX18DH0rTNIqiq6ur+XzebDY9z+OcDwaD0Wh0dXU1mUxc10UquHa7PZlMBoPBeDyGVen7/mAwgNUUBMF2u202m5PJ5Pr6ejabVSoV13VXqxUOWpYFnabb7b68vNze3o7HYwjS9Xo9GAym0ym0HyGEbdur1arT6SwWC+ABUBTm87lpmnmeb7dbrPRgbppmFEWMsV6vNx6Pu90ulAnLssIwdBwnCIJarQbrGtpYo9EATFKv1zebTb1exzmc8+12C5UL2gNjTNd1QI8YDNLmLA714m4eObAfHh5kYT05EYpnlmY621UllyNQjmHcGn8PnokxjCaVhIZsD/4mSQL0pTT70FKWswAAAQBJREFUSm17c0JBRUiSZB+HOzi1D07J4ryGkspe2zMl8XIm4RkvXsjyXVmUPM+n02mv11PXQxhjs9msWq1ivVDhg+6K45gkEiZJkjRNz1EZvw2j1WpFkgocCKo6HyHEdruFSFV/VVmWpWlKArrIaUCCDj49PX348EGRD4gqri7P8/fWCdmXArKXgIHLaJ4SZrDPRIo89lpXEIVSNsULi2pWka1c+MVuF15RYZpOp51Op7gvHXG7MP0RLSGtTMlH7FIISrSAMbZerx3HgVUKBQKp/izLCoIAQjmKItjKsIYBq0DFh1kfBEGeMaxV/X7Xm3rdbne1WoVheH19PR6PsaCCG9bX5xqiNiUAAAEASURBVOfnm5ub8XiM7GgvLy/ff//9ZDLp9/uj0ahSqeBeNzc3o9EIsmC1Wt3d3T08PNzd3T09PbmuW6lUxuPx58+fn56esIQDe5/P57e3t09PT9fX16gnfXV1hWX+l19+6ff7WZYtl8v7+/sff/zxhx9++OWXXzqdDud8NBp9+vRpMplcXV0Nh0O4h6Io6vf7GAlZlsn2393dPT4+Yr/eYrFA2z58+IAQjUqlEkVRr9eDWoBQ6GazuVqtADkAoc+yDBoS1CYYYJzzOI5t24azZrPZ4GQJEbHdeo+3XKlUoM5KwQXUR66+cmDIkSZhpH0der1eF2dicVSX9P7ipDg43Xzfr1RqwyvmAAABAElEQVQqxfin/dPOnKdAUNQztQohMJLVrdM0TTHwSJwtgDfUW5UkyXA4/PjxoyIfyS3LMvXAYgxCKjc3wr+ocIHJZNJqtdSxjyzLZrMZlXIG7EM9oqaIE6krZ8DCz5mGXIYKAqDe1/330QVQcakrWg8o3l402Ysn7wupIpVWbilNiotridvBa7893g5sgNpbOn6QW/FrUZTLhTzLMqDNRTSiaF0VPQI4B/mFN5uNXNRLB6XvAGYl8Hx0JuxU0zTDMITnO0kS27aDIMCiDn95FEXQDxzHWSwWUK3CMOx0Op7ndbtduZglSQJsH8axEKLX60FZGY1GrVYrSZLNZtPtdmHETKdTMp8ffQAAAQBJREFUGNBRFHU6nfl83u12AarjXu12ezabwWIGsuX7frfbHY/HsM6TJOn3+8/Pz/f394vFwrZtZPFttVrj8fjq6gpxabDgcRDYgzwHoAVcycvlEh6HZrOJijTtdns6nfb7/fl8zhizbXuxWPT7/ZeXl1arhR4DhHB1dQWsGyoOII1Op4N0hWAIPYBz7jjObDbDI8OtkOc5AkLlQcZYEATdbhcIDbQxhHkCSIDASpLEcRzAA1AggA8B1DFNM0mSPBPzxdx13UajjrEhBWiapqV8CtL7tj8xQad93Acny/5xzJ0wDOEdkHNnf4qd5lwUDlmWSXNLNr6okRd57n8oTl5AMuiK/R6JcDcAAAEASURBVLaVzi/aVPJeUr7leQ60WApfedVpeGOfIHzhxy9KktJpRflQkqLF03zft2279B735fM5tFwuhRBQ5Y+1/Jy1RwgBwEx9aYcVhEdQV6rQKnU+SDPuuq4iH9BmswGCqMhH7DLekew1gXHVbrcV+YDgVFV3l8GOLaFKmIYXaEVwQGMpPHNsH2tV0d+qrpzJYPrTZ3IoQDAcOefVahVrvAQqYTLGcQwlAFoO7FEYwfCRyxW3VqsFQQCcQC7V+Io1fr1edzodqRzAYwKPwOPjY7/fz/M8CAJg+FARJNgOF4Cu667rYgF+eHjo9XpIZ9BqtYbDIaACeGFgso9GI/DBzkE0YDqIY6o5AAABAElEQVSdappmmuZisYBPodfreZ4HIBQ4//Pzc7/fR+Lpbrc7Go1ub2+n0ym0ojiOb29vPc+DdoI4QehDw+EQOodt25qmIRICj+z7PtbvJEkQK4CIwjRNoXI5joM4LcYY9DC5qKPPAQEmSdJoNKS5v91uscOoVqthiyvb5SLBUlFyCkgMoAhT7Sumxb23+a6OjVxCJOwvVzIZayL16S9fvlxfXwOzlBcW12YZ6cIKC+rBGbKvQ5dYnRjupVV2Pp8julPOWKlen54w+2zhTZYqwkE+JXhvH+1jjMHvI71yx253+jElDYdD13XVlwRZXPwcbEPqQMfODMNws9l0Oh3FVoGkcqbOOKeRfgAAAQBJREFUCqYgdGIVWAI9gD1ZJJui4jgWQpCUVYBv98Quy4PD8mCrEMdGgpx9+fLlu+++45yro0FU4c7Yc0c1SmWAgSIfGe1HElEjdmXUFfmACKOGRqPR9fV1UcRJ58l7tSLpACkiLBe0ilY5K7bq9Jk8TdMwDBFyoWma67pxHGNPR71er9frcRxDWYG4wVeEfcBGhIqA0ELGGKz8arWKtRxZ/uEwkis6YICiivCtQQUrEzomHAT7y/a+uXnCzN2ft6V17iAOVwIn8CEIgiRJ5Aa9gzc9hkzsPwKQpzfPfJOz2GGfF4+/YlcAHDqGkRwEGtnrdyePFOORT7T/nBb6vl+r1YoOgsGtEnkAAAEASURBVH1M4iBKsU9w4suteQehl2PNKJpxQghEf0txWRpXxRCu0sHSm0rTFE5JkmUP5V/VxSVCoAAZnq+csSPCFEinOiaBvf1xHFcNQzcq59jWp6VznufYVbe/R+QcxbrQsK9hRoqbq2RPYsyTeLIQJXLCZD9T9RdCAG8mQc5gOjIK5Iwq6DZNU0QKKvIBAf4gQZXgISUZDICKYaCq03A47HQ6JM+IANNjEPi7uAVBgI2T/LiH4fxWQdW5mEmRG7bIvMlH1zQNAQ31eh2PgRS9Ms8qfoU8xa+cc9u2oXhB+kOjxLtBFariAoNz5NciiH1westlD2O6tLCVTtv/cPCZoa6WPJsQdf/CAAABAElEQVQHue2zKvLP8xyBvcfOOcjtGIld9oRzTj7NmXM+m80urn1emgxI53hBn+9/QOSvjDlTGdnF7W8HW37sSImA7/JdvLBiq+DQPH33MzV1RF+RQEFU9jrbCcdzVN4TlzPGOOe1Wu38RNsnhbJA0qVzVqkzW845hyn41q3fpvzSkmX7Np5QSOxX5MY5x9J+Itjl/DaTZHkELZfLZrNJEvxEVatH0zTCSlAqqZJLpGkaVaZxRloGptvtqoyHom0PZ2tRBqpwltJGsXnAmIo7pi8mmf7tzSZpwJOhYOKDPCK/FpGP/dW3RHANKD4A2/UIfD3q3EjQCPDRNE19AwgIY1GdD+jqcObHzQAAAQBJREFU6oqkVZxzz/NyooTIKrt4SkRSIYAxxjlH/M0F3cV3G6rlkcFgcIKPdAqfcxCZqKh6noS0XXqec/qqKDoO2r7b7RYb/c6kk3M/FyxPtht26KWUmFwgQ+QlpZd18N2VLrw40aNsquxJ27bl1pPLuEmeML8v4LNPVLU1sfn9TLT7TaKKoGKMPTw8ULGC94CElUZUWBOkntFG0mQyUXlGOURV8K19ajQaJAMeb5AksykrhAu/eearWnIknaLtNj+rE2wOklYRWglxHAdBQCJNGGNUkQ2MseFwSMVKPTeMJCpzFi5gkrJLQgh4pUle4ng8vmztLykN+/aPCtXrdRIbKc/zOKz50ZQAAAEASURBVI4R+aTODUGo+8f3e+MghsReaVo83aYV7W0d6E17EkQlABljiOK44MJSA+BPuWCP+f7QYowlSYKcFxc0rERU5hbflcIjaRUyoKrzYYxR5Z5kl9oGB4kw75IQYjqdkrBiO8eaCknRRxUGxxhbr9dUJewQfE+iRZwPCnxTzhBZon5vpLdR5wNziqpi136amcsIHrETO57eS4Q11IF9qvMRQrwrj8ZpiuOYpGQs59x1XaramkDO1Ful2JKSOoLtIyTMwzB8F0Z1jDRNQ+zpxRyKsNZ2u12v1wdP2+8NscsmVfpVCMEEY0zT9aqUYG824E0zzzRNKbhOQ3Fv3u5i5Gz/vogrxtCzAAABAElEQVRQuYAV1oDig5PkGAdRuQ40TZvP51TIGeI11fkwxsIwJOHD3rmj9jSfcwp1nEmcc8LamopNKk7z5XJJhaQ0Gg0SA5WRQnrvVs44RWYyEAL61PnkuyTg6qwYYzIPsjptNhtCjYpqMWaMOY5D5QJG+TB1VoyxVqtVSgNxGWGf72UL1T6djy2/SVRZeRhj6PbzX6Io1K0rkeM4BzGqCyhJkmMa1XvphOVWinE8+FU+rGCMM7HdblHfT33YIz6aCmuEnX36tBPvThLfVYq7oBn7Y1LX9TPd02+S53lUKAI0KhIxiOQ76nwYY8vlEvsn1Flhb5w6H7bbL08l5KlkKWNsuVxSpepKlAAAAQBJREFUWeCDwYBqpY7jmAQ547vCblQGyZnBWt+mBNUCg0od6nxgTlEFSSBZlDofiFT1ZLaSGxUrxth0OqWSAr1ej0prRApTdW4ymImiUawU961ChPF52Gt2/kw80f4gCKg0KhUYqUQocXPwFucoZ6Wr5HZ09ffIOUdWfUU+rLBDWZ0VVuLLIiP3e4xQyb5449E++b5PIpkZY1Tdzjm/v7+nWoypcAE0hspPJ4Sg6nbGWL/fp4oGJhSnVIis2JVBo1L9z8mjwYrKGdU2EGTiIGGFHF0krKi2zHDOUfRUnRW4EYJwg8GACj+fzWbqfEAoYUnCinBvged5JHzYOxVZZLItupzkT62fBvIAAACGSURBVJzz6XRKZRmfk68LjTmHFdWMTpIEdZdV5C80RcG4plWk4ngOfgbLSr6C0q/I73hxqyTxIxm29087R+XlnKu7p8WuzCUyTSpyY4wh2zMJaZpWTCOsQlQbAvI8h3wgUc4IVzFGF8LLqDcEkOBwYpco4IIL5dSWB6kEF3+d71Odzhzt/x8kal1RbRmquQAAAABJRU5ErkJggg== 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 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_close_open</mi><mo>(</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Tarteak-2-4 Expresa mediante intervalo el siguiente conjunto de datos:


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 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_close_close</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Tarteak-2-5 Expresa mediante intervalo el siguiente conjunto de datos:


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1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_open_close</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>3</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS I/Tema 1- Números reales/Numeros Reales Pregunta 1 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»L«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»r«/mi»«mi»i«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mn»2«/mn»«mo»,«/mo»«mover»«mn»387«/mn»«mo»§#65077;«/mo»«/mover»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true true abc 265/111 2385/99 2365/990 Pregunta 10 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced close="]" open="["»«mrow»«mo»-«/mo»«mn»3«/mn»«mo»,«/mo»«mn»8«/mn»«/mrow»«/mfenced»«mo»§#8745;«/mo»«mfenced»«mrow»«mn»0«/mn»«mo»,«/mo»«mn»10«/mn»«/mrow»«/mfenced»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»q«/mi»«mi»u«/mi»«mi»i«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»[«/mo»«mo»-«/mo»«mn»3«/mn»«mo»,«/mo»«mn»10«/mn»«mo»)«/mo»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»-«/mo»«mn»3«/mn»«mo»,«/mo»«mn»10«/mn»«mo»]«/mo»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mn»0«/mn»«mo»,«/mo»«mn»8«/mn»«mo»]«/mo»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»[«/mo»«mn»0«/mn»«mo»,«/mo»«mn»8«/mn»«mo»)«/mo»«/math» Pregunta 11 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnalign=¨left¨ rowspacing=¨0¨»«mtr»«mtd»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»r«/mi»«mi»r«/mi»«mi»o«/mi»«mi»r«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mi»b«/mi»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mi»u«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»m«/mi»«mi»e«/mi»«mi»t«/mi»«mi»i«/mi»«mi»d«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mi»p«/mi»«mi»r«/mi»«mi»o«/mi»«mi»x«/mi»«mi»i«/mi»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mo»§nbsp;«/mo»«mfrac»«mn»365«/mn»«mn»900«/mn»«/mfrac»«mo»§nbsp;«/mo»«mi»p«/mi»«mi»o«/mi»«mi»r«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»x«/mi»«mi»c«/mi»«mi»e«/mi»«mi»s«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»m«/mi»«mi»a«/mi»«mi»s«/mi»«mo»,«/mo»«mo»§nbsp;«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi mathvariant=¨normal¨»exp«/mi»«mi»e«/mi»«mi»s«/mi»«mi»a«/mi»«mi»l«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»r«/mi»«mi»i«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 0 1/225 Pregunta 12 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mo»[«/mo»«mo»-«/mo»«mn»5«/mn»«mo»,«/mo»«mn»3«/mn»«mo»)«/mo»«mo»§#8746;«/mo»«mo»(«/mo»«mo»-«/mo»«mn»2«/mn»«mo»,«/mo»«mn»5«/mn»«mo»]«/mo»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»a«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»-«/mo»«mn»2«/mn»«mo»,«/mo»«mn»3«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨]¨ open=¨[¨»«mrow»«mo»-«/mo»«mn»5«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»-«/mo»«mn»5«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨]¨ open=¨[¨»«mrow»«mo»-«/mo»«mn»2«/mn»«mo»,«/mo»«mn»3«/mn»«/mrow»«/mfenced»«/math» Pregunta 13

Esta representación gráfica corresponde a:
]]> 1.0000000 1.0000000 0 false true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»3«/mn»«mo»§lt;«/mo»«mi»x«/mi»«mo»§#10877;«/mo»«mn»0«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»-«/mo»«mn»3«/mn»«mo»,«/mo»«mn»0«/mn»«mo»]«/mo»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»[«/mo»«mo»-«/mo»«mn»3«/mn»«mo»,«/mo»«mn»0«/mn»«mo»)«/mo»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»3«/mn»«mo»§#10877;«/mo»«mi»x«/mi»«mo»§lt;«/mo»«mn»0«/mn»«/math» Pregunta 14 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»L«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»r«/mi»«mi»r«/mi»«mi»o«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mi»b«/mi»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mi»u«/mi»«mi»t«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»l«/mi»«mi»a«/mi»«mi»t«/mi»«mi»i«/mi»«mi»v«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»m«/mi»«mi»e«/mi»«mi»t«/mi»«mi»i«/mi»«mi»d«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»t«/mi»«mi»r«/mi»«mi»u«/mi»«mi»n«/mi»«mi»c«/mi»«mi»a«/mi»«mi»r«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»71«/mn»«mo»,«/mo»«mn»2«/mn»«mover»«mn»5«/mn»«mo»§#65077;«/mo»«/mover»«mo»§nbsp;«/mo»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»é«/mi»«mi»c«/mi»«mi»i«/mi»«mi»m«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»o«/mi»«mi»n«/mi»«mo»:«/mo»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»E«/mi»«mi»a«/mi»«/msub»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»0«/mn»«mover»«mn»5«/mn»«mo»§#65077;«/mo»«/mover»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«msub»«mi»E«/mi»«mi»r«/mi»«/msub»«mo»§#8776;«/mo»«mn»0«/mn»«mo»,«/mo»«mn»0007«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»E«/mi»«mi»a«/mi»«/msub»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»0«/mn»«mover»«mn»5«/mn»«mo»§#65077;«/mo»«/mover»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«msub»«mi»E«/mi»«mi»r«/mi»«/msub»«mo»§#8776;«/mo»«mn»0«/mn»«mo»,«/mo»«mn»07«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»E«/mi»«mi»a«/mi»«/msub»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»05«/mn»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«msub»«mi»E«/mi»«mi»r«/mi»«/msub»«mo»§#8776;«/mo»«mn»0«/mn»«mo»,«/mo»«mn»0007«/mn»«/math» Pregunta 2 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»L«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»r«/mi»«mi»i«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mo»-«/mo»«mn»1«/mn»«mo»,«/mo»«mn»3«/mn»«mover»«mn»87«/mn»«mo»§#65077;«/mo»«/mover»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true true abc -229/165 -1374/99 -1387/990 Pregunta 3 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»L«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»r«/mi»«mi»i«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mn»12«/mn»«mo»,«/mo»«mn»131«/mn»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/math»

]]> 1.0000000 1.0000000 0 true true abc 12131/1000 12131/100 12131/999 Pregunta 4 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»L«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»r«/mi»«mi»i«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mo»-«/mo»«mn»13«/mn»«mo»,«/mo»«mn»14«/mn»«mover»«mn»5«/mn»«mo»§#65077;«/mo»«/mover»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true true abc -11831/900 -11831/990 11831/1000 Pregunta 5 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»r«/mi»«mi»i«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mn»0«/mn»«mo»,«/mo»«mover»«mn»3«/mn»«mo»§#65077;«/mo»«/mover»«mo»+«/mo»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«mo»+«/mo»«mn»0«/mn»«mo»,«/mo»«mover»«mn»13«/mn»«mo»§#65077;«/mo»«/mover»«/math»]]> 1.0000000 1.0000000 0 0 757/990 Pregunta 6 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»r«/mi»«mi»i«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mo»-«/mo»«mn»1«/mn»«mo»,«/mo»«mn»12«/mn»«mover»«mn»3«/mn»«mo»§#65077;«/mo»«/mover»«mo»+«/mo»«mn»1«/mn»«mo»,«/mo»«mn»2«/mn»«mover»«mn»8«/mn»«mo»§#65077;«/mo»«/mover»«/math»]]> 1.0000000 1.0000000 0 0 149/900 Pregunta 7 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»E«/mi»«mi»m«/mi»«mi»p«/mi»«mi»a«/mi»«mi»r«/mi»«mi»e«/mi»«mi»j«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»a«/mi»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»c«/mi»«mi»i«/mi»«mi»m«/mi»«mi»a«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»u«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»r«/mi»«mi»i«/mi»«mi»a«/mi»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«mover»«mn»7«/mn»«mo»§#65077;«/mo»«/mover»«/math» 34/90 0,3 3/10 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»11«/mn»«mo»,«/mo»«mn»2«/mn»«mover»«mn»8«/mn»«mo»§#65077;«/mo»«/mover»«/math» 508/45 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»7«/mn»«mo»,«/mo»«mover»«mn»314«/mn»«mo»§#65077;«/mo»«/mover»«/math» -7307/999 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mo»,«/mo»«mn»14«/mn»«mover»«mn»15«/mn»«mo»§#65077;«/mo»«/mover»«/math» 21201/9900 -7327/999 Pregunta 8 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»E«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»l«/mi»«mi»t«/mi»«mi»a«/mi»«mi»d«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»r«/mi»«mo»§nbsp;«/mo»«mn»2«/mn»«mo»+«/mo»«mn»1«/mn»«mo»,«/mo»«mover»«mn»2«/mn»«mo»§#65077;«/mo»«/mover»«mo»-«/mo»«mn»12«/mn»«mo»,«/mo»«mn»2«/mn»«mover»«mn»1«/mn»«mo»§#65077;«/mo»«/mover»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/math»
]]> 1.0000000 1.0000000 0 true true abc Un número irracional Un número natural Un número racional Un número entero Pregunta 9 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mo»[«/mo»«mo»-«/mo»«mn»10«/mn»«mo»,«/mo»«mn»14«/mn»«mo»)«/mo»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»q«/mi»«mi»u«/mi»«mi»i«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»10«/mn»«mo»§#10877;«/mo»«mi»x«/mi»«mo»§#10877;«/mo»«mn»14«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»10«/mn»«mo»§#10877;«/mo»«mi»x«/mi»«mo»§lt;«/mo»«mn»14«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»10«/mn»«mo»§lt;«/mo»«mi»x«/mi»«mo»§#10877;«/mo»«mn»14«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨|¨ open=¨|¨»«mrow»«mi»x«/mi»«mo»§#10877;«/mo»«mn»14«/mn»«/mrow»«/mfenced»«/math» MATE CCSS I/Tema 1- Números reales/Raices Pregunta 1 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»L«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»q«/mi»«mi»u«/mi»«mi»i«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»p«/mi»«mi»o«/mi»«mi»t«/mi»«mi»e«/mi»«mi»n«/mi»«mi»c«/mi»«mi»i«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«msqrt»«msup»«mn»3«/mn»«mn»5«/mn»«/msup»«/msqrt»«mo»,«/mo»«mo»§nbsp;«/mo»«mroot»«mn»2«/mn»«mn»5«/mn»«/mroot»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«msqrt»«msqrt»«msup»«mn»2«/mn»«mn»3«/mn»«/msup»«/msqrt»«/msqrt»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»o«/mi»«mi»n«/mi»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 false true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»3«/mn»«mfrac»«mn»5«/mn»«mn»2«/mn»«/mfrac»«/msup»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mfrac»«mn»1«/mn»«mn»5«/mn»«/mfrac»«/msup»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«/msup»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mfrac»«mn»3«/mn»«mn»5«/mn»«/mfrac»«/msup»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»3«/mn»«mfrac»«mn»2«/mn»«mn»5«/mn»«/mfrac»«/msup»«/math» Pregunta 10 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»O«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»6«/mn»«mroot»«mrow»«msup»«mn»3«/mn»«mn»7«/mn»«/msup»«mo».«/mo»«msup»«mn»2«/mn»«mn»7«/mn»«/msup»«/mrow»«mn»6«/mn»«/mroot»«/mrow»«mrow»«mn»3«/mn»«mroot»«mrow»«msup»«mn»3«/mn»«mn»2«/mn»«/msup»«mo».«/mo»«msup»«mn»2«/mn»«mn»2«/mn»«/msup»«/mrow»«mn»3«/mn»«/mroot»«/mrow»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«msqrt»«mn»6«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»5«/mn»«msqrt»«mn»6«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/math» Pregunta 11 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»O«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mn»8«/mn»«msqrt»«mn»50«/mn»«/msqrt»«mo»-«/mo»«mn»7«/mn»«msqrt»«mn»200«/mn»«/msqrt»«mo»-«/mo»«msqrt»«mn»128«/mn»«/msqrt»«mo»+«/mo»«mn»10«/mn»«msqrt»«mn»162«/mn»«/msqrt»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»52«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»32«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»52«/mn»«msqrt»«mn»3«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»25«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/math» Pregunta 12 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»O«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»a«/mi»«mo»)«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mfenced»«mrow»«mn»3«/mn»«msqrt»«mn»5«/mn»«/msqrt»«mo»-«/mo»«mn»5«/mn»«msqrt»«mn»3«/mn»«/msqrt»«/mrow»«/mfenced»«mfenced»«mrow»«mn»3«/mn»«msqrt»«mn»5«/mn»«/msqrt»«mo»+«/mo»«mn»5«/mn»«msqrt»«mn»3«/mn»«/msqrt»«/mrow»«/mfenced»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»b«/mi»«mo»)«/mo»«mo»§nbsp;«/mo»«msup»«mfenced»«mrow»«mn»7«/mn»«msqrt»«mn»2«/mn»«/msqrt»«mo»+«/mo»«mn»2«/mn»«msqrt»«mn»3«/mn»«/msqrt»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 false true abc -30 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»110«/mn»«mo»+«/mo»«mn»28«/mn»«msqrt»«mn»6«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»110«/mn»«mo»+«/mo»«mn»30«/mn»«msqrt»«mn»6«/mn»«/msqrt»«/math» -25 Pregunta 13 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»O«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced»«mrow»«msqrt»«mn»3«/mn»«/msqrt»«mo»-«/mo»«mn»4«/mn»«msqrt»«mn»2«/mn»«/msqrt»«mo»+«/mo»«msqrt»«mn»5«/mn»«/msqrt»«/mrow»«/mfenced»«mo»·«/mo»«mfenced»«mrow»«mn»3«/mn»«msqrt»«mn»2«/mn»«/msqrt»«mo»-«/mo»«msqrt»«mn»8«/mn»«/msqrt»«/mrow»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»8«/mn»«mo»+«/mo»«msqrt»«mn»6«/mn»«/msqrt»«mo»+«/mo»«msqrt»«mn»10«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»10«/mn»«mo»+«/mo»«msqrt»«mn»6«/mn»«/msqrt»«mo»+«/mo»«msqrt»«mn»10«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»8«/mn»«mo»+«/mo»«msqrt»«mn»6«/mn»«/msqrt»«mo»-«/mo»«msqrt»«mn»10«/mn»«/msqrt»«/math» Pregunta 14 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»l«/mi»«mi»i«/mi»«mi»z«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»a«/mi»«mo»)«/mo»«mo»§nbsp;«/mo»«mfrac»«msqrt»«mn»3«/mn»«/msqrt»«mroot»«mn»3«/mn»«mn»4«/mn»«/mroot»«/mfrac»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§nbsp;«/mo»«mfrac»«mn»2«/mn»«msqrt»«mn»8«/mn»«/msqrt»«/mfrac»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§nbsp;«/mo»«mfrac»«mn»1«/mn»«mrow»«mn»2«/mn»«msqrt»«mn»2«/mn»«/msqrt»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 0.0000000 0 false true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»3«/mn»«mn»4«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»9«/mn»«mn»4«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«msqrt»«mn»2«/mn»«/msqrt»«mn»2«/mn»«/mfrac»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«msqrt»«mn»8«/mn»«/msqrt»«mn»4«/mn»«/mfrac»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»3«/mn»«mo»-«/mo»«mn»2«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/math» Pregunta 15 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»a«/mi»«mi»l«/mi»«mi»i«/mi»«mi»z«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»a«/mi»«mo»)«/mo»«mo»§nbsp;«/mo»«mfrac»«msqrt»«mn»5«/mn»«/msqrt»«mroot»«mn»10«/mn»«mn»3«/mn»«/mroot»«/mfrac»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§nbsp;«/mo»«mfrac»«mn»7«/mn»«mrow»«mn»3«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/mrow»«/mfrac»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§nbsp;«/mo»«mfrac»«mn»1«/mn»«mrow»«msqrt»«mn»2«/mn»«/msqrt»«mo»+«/mo»«msqrt»«mn»3«/mn»«/msqrt»«/mrow»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 0.0000000 0 false true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«mn»3«/mn»«/msqrt»«mo»-«/mo»«msqrt»«mn»2«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»7«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/mrow»«mn»6«/mn»«/mfrac»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mroot»«mn»80«/mn»«mn»6«/mn»«/mroot»«mn»2«/mn»«/mfrac»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«msqrt»«mn»5«/mn»«/msqrt»«mroot»«mn»10«/mn»«mn»3«/mn»«/mroot»«/mrow»«mn»10«/mn»«/mfrac»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»21«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/mrow»«mn»9«/mn»«/mfrac»«/math» Pregunta 16 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»E«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»l«/mi»«mi»t«/mi»«mi»a«/mi»«mi»d«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»r«/mi»«mo»§nbsp;«/mo»«mfenced»«mrow»«msqrt»«mn»7«/mn»«/msqrt»«mo»-«/mo»«mn»4«/mn»«msqrt»«mn»3«/mn»«/msqrt»«/mrow»«/mfenced»«mfenced»«mrow»«msqrt»«mn»7«/mn»«/msqrt»«mo»+«/mo»«mn»4«/mn»«msqrt»«mn»3«/mn»«/msqrt»«/mrow»«/mfenced»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true true abc -5 -41 -29 55 Pregunta 17 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»E«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»l«/mi»«mi»t«/mi»«mi»a«/mi»«mi»d«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»r«/mi»«mo»§nbsp;«/mo»«msup»«mfenced»«mrow»«mn»5«/mn»«mo»-«/mo»«mn»3«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true true abc 43 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»43«/mn»«mo»-«/mo»«mn»30«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/math» 19 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»19«/mn»«mo»-«/mo»«mn»30«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/math» Pregunta 2 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»L«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»q«/mi»«mi»u«/mi»«mi»i«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»p«/mi»«mi»o«/mi»«mi»t«/mi»«mi»e«/mi»«mi»n«/mi»«mi»c«/mi»«mi»i«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mfrac»«msup»«mi»a«/mi»«mn»4«/mn»«/msup»«msqrt»«mi»a«/mi»«/msqrt»«/mfrac»«mo»,«/mo»«mo»§nbsp;«/mo»«mn»2«/mn»«msqrt»«mn»2«/mn»«/msqrt»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mroot»«msqrt»«mn»2«/mn»«/msqrt»«mn»3«/mn»«/mroot»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»o«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mo»:«/mo»«/math»
]]> 1.0000000 1.0000000 0 false true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»a«/mi»«mfrac»«mn»7«/mn»«mn»2«/mn»«/mfrac»«/msup»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«/msup»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mfrac»«mn»1«/mn»«mn»6«/mn»«/mfrac»«/msup»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mfrac»«mn»1«/mn»«mn»5«/mn»«/mfrac»«/msup»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»a«/mi»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«/msup»«/math» Pregunta 3 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»L«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi mathvariant="normal"»exp«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»d«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mi»l«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mn»3«/mn»«mo».«/mo»«msup»«mn»2«/mn»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/msup»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mn»5«/mn»«mo».«/mo»«msup»«mn»3«/mn»«mfrac»«mn»1«/mn»«mn»4«/mn»«/mfrac»«/msup»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«msup»«mn»7«/mn»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«/msup»«mo».«/mo»«msup»«mn»2«/mn»«mfrac»«mn»1«/mn»«mn»6«/mn»«/mfrac»«/msup»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»o«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 false true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«mo».«/mo»«msqrt»«mn»2«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»5«/mn»«mo».«/mo»«mroot»«mn»3«/mn»«mn»4«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»5«/mn»«mo».«/mo»«msqrt»«msup»«mn»3«/mn»«mn»4«/mn»«/msup»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»98«/mn»«mn»6«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»7«/mn»«mn»3«/mn»«/mroot»«mo».«/mo»«mroot»«mn»2«/mn»«mn»6«/mn»«/mroot»«/math» Pregunta 4 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»E«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»d«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»q«/mi»«mi»u«/mi»«mi»i«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mo»§nbsp;«/mo»«mroot»«mn»2«/mn»«mn»3«/mn»«/mroot»«mo»§nbsp;«/mo»«mi»q«/mi»«mi»u«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»t«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»d«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mi»o«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»a«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mo»§nbsp;«/mo»«mn»32«/mn»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»32«/mn»«mn»15«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»32«/mn»«mn»48«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»32«/mn»«mn»27«/mn»«/mroot»«/math» Pregunta 5 De las siguientes raices, indica cuales son equivalentes: 1.0000000 1.0000000 0 false true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»5«/mn»«mn»3«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»25«/mn»«mn»6«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»25«/mn»«mn»9«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»5«/mn»«mn»4«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»5«/mn»«mn»2«/mn»«/mroot»«/math» Pregunta 6 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»E«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»d«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»i«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»d«/mi»«mi»u«/mi»«mi»c«/mi»«mi»i«/mi»«mi»b«/mi»«mi»l«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»q«/mi»«mi»u«/mi»«mi»i«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mo»§nbsp;«/mo»«mroot»«mn»625«/mn»«mn»16«/mn»«/mroot»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mo»:«/mo»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»5«/mn»«mn»4«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»156«/mn»«mn»8«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mfrac»«mn»625«/mn»«mn»4«/mn»«/mfrac»«mn»4«/mn»«/mroot»«/math» Pregunta 7 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»S«/mi»«mi»e«/mi»«mi»a«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»d«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mi»l«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«msqrt»«mn»12«/mn»«/msqrt»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mroot»«mn»12«/mn»«mn»6«/mn»«/mroot»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mroot»«mn»36«/mn»«mn»6«/mn»«/mroot»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mroot»«mn»216«/mn»«mn»9«/mn»«/mroot»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mroot»«mn»144«/mn»«mn»3«/mn»«/mroot»«mo».«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»S«/mi»«mi»o«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»q«/mi»«mi»u«/mi»«mi»i«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«mn»12«/mn»«/msqrt»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mroot»«mn»12«/mn»«mn»6«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»12«/mn»«mn»6«/mn»«/mroot»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mroot»«mn»36«/mn»«mn»6«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»36«/mn»«mn»6«/mn»«/mroot»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mroot»«mn»216«/mn»«mn»9«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«mn»12«/mn»«/msqrt»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mroot»«mn»144«/mn»«mn»3«/mn»«/mroot»«/math» Pregunta 8 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»U«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»d«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»q«/mi»«mi»u«/mi»«mi»i«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»a«/mi»«mo»§nbsp;«/mo»«mroot»«mn»8«/mn»«mn»3«/mn»«/mroot»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/math»]]>  ]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»2«/mn»«mn»3«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»24«/mn»«mn»9«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»64«/mn»«mn»6«/mn»«/mroot»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mroot»«mn»56«/mn»«mn»21«/mn»«/mroot»«/math» Pregunta 9 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»O«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mn»3«/mn»«msqrt»«mn»28«/mn»«/msqrt»«mo»-«/mo»«mn»5«/mn»«msqrt»«mn»252«/mn»«/msqrt»«mo»+«/mo»«mn»3«/mn»«msqrt»«mn»175«/mn»«/msqrt»«mo»-«/mo»«mn»4«/mn»«msqrt»«mn»63«/mn»«/msqrt»«mo»+«/mo»«mn»4«/mn»«msqrt»«mn»7«/mn»«/msqrt»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»17«/mn»«msqrt»«mn»7«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»14«/mn»«msqrt»«mn»7«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«msqrt»«mn»7«/mn»«/msqrt»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»-17«/mn»«msqrt»«mn»25«/mn»«/msqrt»«/math» MATE CCSS I/Tema 2 -Ecuaciones y sistemas de ecuaciones/1 y 2 grado Ecuacion 2_grado_1 Resuelve la siguiente ecuación de 2º grado  #p = 0 y da las soluciones en orden de menor a mayor:]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>r1</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>r2</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>r1</mi><mo>)</mo><mo>·</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>r2</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>r1</mi><mo>&lt;</mo><mi>r2</mi><mo>∧</mo><mfenced close="|" open="|"><msub><mi>p</mi><mn>0</mn></msub></mfenced><mo>&lt;</mo><mn>61</mn></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ecuacion 2_grado_2 Resuelve la siguiente ecuación de 2º grado  #p = 0 y da las soluciones en orden de menor a mayor:]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>r1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>mcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>∧</mo><mi>r1</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>r1</mi><mo>+</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>b</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>r1</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>r2</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta 1 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco. Si no es entero, en forma de fracción.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 0,5 5,0 Pregunta 2 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»6«/mn»«mi»x«/mi»«mo»+«/mo»«mn»10«/mn»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco. Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 No tiene solucion No tiene solución MATE CCSS I/Tema 2 -Ecuaciones y sistemas de ecuaciones/Exponenciales Exponencial_1-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msup»«mn»2«/mn»«mrow»«mo»-«/mo»«mn»4«/mn»«mi»x«/mi»«/mrow»«/msup»«mo»-«/mo»«mn»2«/mn»«mo»§#183;«/mo»«msup»«mn»2«/mn»«mrow»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«/mrow»«/msup»«mo»-«/mo»«mn»8«/mn»«mo»=«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>P</mi><mo>=</mo><msup><mn>2</mn><mrow><mo>-</mo><mn>4</mn><mi>x</mi></mrow></msup><mo>-</mo><mn>2</mn><mo>·</mo><msup><mn>2</mn><mrow><mo>-</mo><mn>2</mn><mi>x</mi></mrow></msup><mo>-</mo><mn>8</mn></mtd></mtr><mtr><mtd><mi>lista1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>P</mi><mo>=</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>lista_constante</mi><mo>(</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>,</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">while</csymbol><mrow><mi>i</mi><mo>⩽</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo></mrow><mtable><mtr><mtd><msub><mi>sol</mi><mi>i</mi></msub><mo>=</mo><msub><msub><msub><mi>lista1</mi><mi>i</mi></msub><mn>1</mn></msub><mn>2</mn></msub></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>ordenar</mi><mo>(</mo><mi>sol</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution">1/2 1/2</data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Exponencial_2_w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msup»«mn»5«/mn»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»+«/mo»«mn»3«/mn»«mo»§#183;«/mo»«msup»«mn»5«/mn»«mrow»«mn»6«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»=«/mo»«mn»20«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>P</mi><mo>=</mo><msup><mn>5</mn><mrow><mn>3</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>+</mo><mn>3</mn><mo>*</mo><msup><mn>5</mn><mrow><mn>6</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>-</mo><mn>20</mn></mtd></mtr><mtr><mtd><mi>lista1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>P</mi><mo>=</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>lista_constante</mi><mo>(</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>,</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">while</csymbol><mrow><mi>i</mi><mo>⩽</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo></mrow><mtable><mtr><mtd><msub><mi>sol</mi><mi>i</mi></msub><mo>=</mo><msub><msub><msub><mi>lista1</mi><mi>i</mi></msub><mn>1</mn></msub><mn>2</mn></msub></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>ordenar</mi><mo>(</mo><mi>sol</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution">1/2 1/2</data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta 16 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msup»«mn»2«/mn»«mrow»«mo»-«/mo»«mn»4«/mn»«mi»x«/mi»«/mrow»«/msup»«mo»-«/mo»«mn»2«/mn»«mo»·«/mo»«msup»«mn»2«/mn»«mrow»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«/mrow»«/msup»«mo»-«/mo»«mn»8«/mn»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 -1 Pregunta 17 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msup»«mn»125«/mn»«mrow»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»10«/mn»«/mrow»«/msup»«mo»=«/mo»«msup»«mn»25«/mn»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mrow»«/msup»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 6/5 MATE CCSS I/Tema 2 -Ecuaciones y sistemas de ecuaciones/Fraccionarias y grado superior Ecuac. grado3-w Resuelve la siguiente ecuación:  #ecu=0, dando las respuestas en orden creciente de menor a mayor.

]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2x=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>r1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>mcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>∧</mo><mi>r1</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>r1</mi><mo>+</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>coc</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo><mo>+</mo><mi>res</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mi>r1</mi><mo>+</mo><mi>d</mi><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ecu</mi><mo>=</mo><mi>b</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>r1</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>r2</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>r3</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">1/3 1/3 1/3</data><data name="casSession"/></localData></question> Ecuaciones bicuadrada_1_w Resuelve la siguiente ecuación  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»#«/mo»«mi»s«/mi»«mn»1«/mn»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»#«/mo»«mi»s«/mi»«mn»2«/mn»«mo»#«/mo»«mi»c«/mi»«mo»=«/mo»«mn»0«/mn»«/math» y da las soluciones en orden creciente:

]]> 1.0000000 0.3333333 0 0 x=#x1x=#x2x=#x3x=#x4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><msup><mo>)</mo><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><msup><mo>)</mo><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>s</mi><mo>=</mo><mi>z1</mi><mo>+</mo><mi>z2</mi></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>z1</mi><mo>*</mo><mi>z2</mi></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><mi>s</mi></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>p</mi></mtd></mtr></mtable><mrow><mi>s</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>{</mo><mi>x1</mi><mo>,</mo><mi>x2</mi><mo>,</mo><mi>x3</mi><mo>,</mo><mi>x4</mi><mo>}</mo><mo>=</mo><mi>ordenar</mi><mo>(</mo><mo>{</mo><mo>-</mo><msqrt><mi>z1</mi></msqrt><mo>,</mo><msqrt><mi>z1</mi></msqrt><mo>,</mo><mo>-</mo><msqrt><mi>z2</mi></msqrt><mo>,</mo><msqrt><mi>z2</mi></msqrt><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>b</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s1</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s1</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>c</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s2</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s2</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>2</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>3</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">1/4 1/4 1/4 1/4</data><data name="casSession"/></localData></question> Ecuaciones bicuadrada_2_w Resuelve la siguiente ecuación  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»#«/mo»«mi»s«/mi»«mn»1«/mn»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»#«/mo»«mi»s«/mi»«mn»2«/mn»«mo»#«/mo»«mi»c«/mi»«mo»=«/mo»«mn»0«/mn»«/math» y da las soluciones en orden creciente:

]]> 1.0000000 0.3333333 0 0 x=#x1x=#x2x=#x3x=#x4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><msup><mo>)</mo><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><msup><mo>)</mo><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>s</mi><mo>=</mo><mi>z1</mi><mo>+</mo><mi>z2</mi></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>z1</mi><mo>*</mo><mi>z2</mi></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><mi>s</mi></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>p</mi></mtd></mtr></mtable><mrow><mi>s</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>{</mo><mi>x1</mi><mo>,</mo><mi>x2</mi><mo>,</mo><mi>x3</mi><mo>,</mo><mi>x4</mi><mo>}</mo><mo>=</mo><mi>ordenar</mi><mo>(</mo><mo>{</mo><mo>-</mo><msqrt><mi>z1</mi></msqrt><mo>,</mo><msqrt><mi>z1</mi></msqrt><mo>,</mo><mo>-</mo><msqrt><mi>z2</mi></msqrt><mo>,</mo><msqrt><mi>z2</mi></msqrt><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>b</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s1</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s1</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>c</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s2</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s2</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>2</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>3</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">1/4 1/4 1/4 1/4</data><data name="casSession"/></localData></question> Ecuaciones grado4_w Resuelve la siguiente ecuación  #P=0 y da las soluciones en orden creciente:

]]> 1.0000000 0.3333333 0 0 x=#x1x=#x2x=#x3x=#x4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>conj</mi><mo>=</mo><mo>{</mo><mi>secuencia</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>1</mn><mo>)</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mi>conj</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mi>conj</mi><mo>/</mo><mo>{</mo><mn>0</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>P</mi><mo>=</mo><mo>(</mo><mfenced close="|" open="|"><mrow><mi>m</mi><mo>(</mo><mo>)</mo></mrow></mfenced><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mfenced close="|" open="|"><mrow><mi>n</mi><mo>(</mo><mo>)</mo></mrow></mfenced><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>n</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>n</mi><mo>(</mo><mo>)</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>lista1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>P</mi><mo>=</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>lista_constante</mi><mo>(</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>,</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">while</csymbol><mrow><mi>i</mi><mo>⩽</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo></mrow><mtable><mtr><mtd><msub><mi>sol</mi><mi>i</mi></msub><mo>=</mo><msub><msub><msub><mi>lista1</mi><mi>i</mi></msub><mn>1</mn></msub><mn>2</mn></msub></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>ordenar</mi><mo>(</mo><mi>sol</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>=</mo><mn>4</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><msub><mi>sol</mi><mn>2</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x3</mi><mo>=</mo><msub><mi>sol</mi><mn>3</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x4</mi><mo>=</mo><msub><mi>sol</mi><mn>4</mn></msub></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>2</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>3</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">1/4 1/4 1/4 1/4</data><data name="casSession"/></localData></question> Ecuaciones grado5_w Resuelve la siguiente ecuación  #P=0 y da las soluciones en orden creciente:

]]> 1.0000000 0.3333333 0 0 x=#x1x=#x2x=#x3x=#x4x=#x5]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>conj</mi><mo>=</mo><mo>{</mo><mi>secuencia</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>1</mn><mo>)</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mi>conj</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mi>conj</mi><mo>/</mo><mo>{</mo><mn>0</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>P</mi><mo>=</mo><mi>x</mi><mo>*</mo><mo>(</mo><mfenced close="|" open="|"><mrow><mi>m</mi><mo>(</mo><mo>)</mo></mrow></mfenced><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mfenced close="|" open="|"><mrow><mi>n</mi><mo>(</mo><mo>)</mo></mrow></mfenced><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>n</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>n</mi><mo>(</mo><mo>)</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>lista1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>P</mi><mo>=</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>lista_constante</mi><mo>(</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>,</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">while</csymbol><mrow><mi>i</mi><mo>⩽</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo></mrow><mtable><mtr><mtd><msub><mi>sol</mi><mi>i</mi></msub><mo>=</mo><msub><msub><msub><mi>lista1</mi><mi>i</mi></msub><mn>1</mn></msub><mn>2</mn></msub></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>ordenar</mi><mo>(</mo><mi>sol</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>=</mo><mn>5</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><msub><mi>sol</mi><mn>2</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x3</mi><mo>=</mo><msub><mi>sol</mi><mn>3</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x4</mi><mo>=</mo><msub><mi>sol</mi><mn>4</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x5</mi><mo>=</mo><msub><mi>sol</mi><mn>5</mn></msub></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>2</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>3</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>4</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>5</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">1/4 1/4 1/4 1/4</data><data name="casSession"/></localData></question> Pregunta 3 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»=«/mo»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco. Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 -1 Pregunta 4 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»=«/mo»«mfrac»«mn»6«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco. Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 3,-2 -2,3 Pregunta 5 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»18«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»81«/mn»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco. Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 3,-3 -3,3 Pregunta 6 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»13«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»36«/mn»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 -3,-2,2,3 Pregunta4-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»r«/mi»«mi»d«/mi»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»x«/mi»«mo»=«/mo»«mfrac»«mn»6«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x1x=#x2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>P</mi><mo>=</mo><mi>x</mi><mo>-</mo><mfrac><mn>6</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></mtd></mtr><mtr><mtd><mi>lista1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>P</mi><mo>=</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>lista_constante</mi><mo>(</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>,</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">while</csymbol><mrow><mi>i</mi><mo>⩽</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo></mrow><mtable><mtr><mtd><msub><mi>sol</mi><mi>i</mi></msub><mo>=</mo><msub><msub><msub><mi>lista1</mi><mi>i</mi></msub><mn>1</mn></msub><mn>2</mn></msub></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>ordenar</mi><mo>(</mo><mi>sol</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>=</mo><mn>2</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><msub><mi>sol</mi><mn>2</mn></msub></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">1/2 1/2</data><data name="casSession"/><data name="inputCompound">true</data></localData></question> MATE CCSS I/Tema 2 -Ecuaciones y sistemas de ecuaciones/Galdetegiak egiteko 1.ariketa-1. Ebatzi ondorengo ekuazioa eta eman emaitza.

 

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mi>x</mi><mn>3</mn></mfrac><mo>-</mo><mn>8</mn><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>=</mo><mn>0</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>51</mn><mn>14</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>51</mn><mn>14</mn></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 1.ariketa-2. Ebatzi ondorengo ekuazioa eta eman emaitza.

 

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mn>14</mn><mo>*</mo><mi>x</mi></mrow><mn>3</mn></mfrac><mo>+</mo><mfrac><mrow><mn>5</mn><mo>*</mo><mi>x</mi></mrow><mn>2</mn></mfrac><mo>-</mo><mn>6</mn><mo>=</mo><mfrac><mi>x</mi><mn>9</mn></mfrac><mo>-</mo><mn>1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>90</mn><mn>127</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>90</mn><mn>127</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>90</mn><mn>127</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 1.ariketa-3. Ebatzi ondorengo ekuazioa eta eman emaitza.

 

Ez badu soluziorik idatzi ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 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 1.0000000 0.3333333 0 0 x=ez du soluziorik]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi></mrow><mn>3</mn></mfrac><mo>-</mo><mfrac><mi>x</mi><mn>6</mn></mfrac><mo>+</mo><mn>2</mn><mo>=</mo><mfrac><mi>x</mi><mn>2</mn></mfrac><mo>+</mo><mn>1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi mathvariant="normal">e</mi><mi>z</mi><mo>&#160;</mo><mi mathvariant="normal">d</mi><mi>u</mi><mo>&#160;</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi>k</mi><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 1.ariketa-4. Ebatzi ondorengo ekuazioa eta eman emaitza.

 

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> iVBORw0KGgoAAAANSUhEUgAAAIUAAAAlCAIAAADjpL2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYGCCYtxtnzagAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nO2a27KDIAxFpXP+/5fpg1OGEyMSc2GLrCfb0TTDTkJCTTnnbQHDZ7QDi38sPbDg9Ugpib7Xk3442X8Kf8evhoixtrEdJj/YpVlLFgOTHyJK0uSc92upbPtTrN5641aEecJHPVmd8vEsS0xcdDVuQoAn1/1VZ6XSe1lCz8O4Fd6edNWrepnWRuLKdX7kio0LkF0hp+7L1TigJ9p50DBdjqZwcjHME0aP0vBcPkzuuRc7ZRI8iqE3Xv+E5nG9J51PoQSgHwhJ1t+YTX5+hSDGJunKIvQYdTBVdmCEdqCTV+QHSIfWg/a8ZBSdk2OjUFjNnrYzLNVDH0fFj7O2hJzEON9hpQAAAKtJREFU3DNuchxweU/DPUNPaqgehtaJMKzlgZttT1zHu/fUeqUHoe86MrMe9TY+dvUb/ynQOzHD5LVM3u8+Dlm9Ckh/kApDCPNKoEdd/pzOIQJ+4gaRXgnqVcDqgAgwkDv7B07kzodYj5iDoNdKLp4/2i+aTEnkcSTiPAgo9tmhnDlw8wegGIUA37D0IJ3lWGcIMYEimz/KdcA8iEPkC5K4xeGdYNWrxdIDiy8nDBeBqL7adAAAAABJRU5ErkJggg== 1.0000000 0.3333333 0 0 x=infinitu soluzio]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mn>5</mn><mo>*</mo><mi>x</mi></mrow><mn>2</mn></mfrac><mo>+</mo><mfrac><mi>x</mi><mn>4</mn></mfrac><mo>-</mo><mfrac><mi>x</mi><mn>8</mn></mfrac><mo>+</mo><mn>3</mn><mo>=</mo><mn>3</mn><mo>+</mo><mfrac><mrow><mn>21</mn><mo>*</mo><mi>x</mi></mrow><mn>8</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mi>x</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>f</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>u</mi><mo>&#160;</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">i</mi><mi>o</mi><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 1.ariketa-5. Ebatzi ondorengo ekuazioa eta eman emaitza.

 

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mn>3</mn><mo>*</mo><mi>x</mi></mrow><mn>2</mn></mfrac><mo>-</mo><mfrac><mi>x</mi><mn>6</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>=</mo><mo>-</mo><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi></mrow><mn>3</mn></mfrac><mo>+</mo><mn>9</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>13</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>13</mn><mn>3</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>13</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 1.ariketa-6. Ebatzi ondorengo ekuazioa eta eman emaitza.

 

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mfrac><mrow><mn>3</mn><mo>*</mo><mi>x</mi></mrow><mn>5</mn></mfrac><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>=</mo><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mfrac><mn>9</mn><mn>2</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>25</mn><mn>18</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>25</mn><mn>18</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>25</mn><mn>18</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 10.ariketa-1. Ebatzi ondorengo ekuazioa sistema eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»202«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»20«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

Lehengo emaitza, X_en balio txikiena.

]]> 1.0000000 0.3333333 0 0 x1=#r1y1=#r2x2=#r3y2=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup><mo>=</mo><mn>202</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>20</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>9</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>11</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>11</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>9</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>9</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>11</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>11</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mn>9</mn></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd/></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr></mtable></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 10.ariketa-2. Ebatzi ondorengo ekuazioa sistema eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mi»y«/mi»«mo»=«/mo»«mn»24«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»=«/mo»«mn»13«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

Lehengo emaitza, X_en balio txikiena.

]]> 1.0000000 0.3333333 0 0 x1=#r1y1=#r2x2=#r3y2=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi><mo>*</mo><mi>y</mi><mo>=</mo><mn>24</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mn>2</mn><mi>y</mi><mo>=</mo><mn>13</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>16</mn><mo>,</mo><mi>y</mi><mo>=</mo><mfrac><mn>29</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>5</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>16</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>16</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mn>29</mn><mn>2</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>29</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mn>5</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd/></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr></mtable></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 10.ariketa-3. Ebatzi ondorengo ekuazioa sistema eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mfrac»«mn»1«/mn»«mi»x«/mi»«/mfrac»«mo»+«/mo»«mfrac»«mn»1«/mn»«mi»y«/mi»«/mfrac»«mo»=«/mo»«mfrac»«mn»7«/mn»«mn»72«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»42«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

Lehengo emaitza, X_en balio txikiena.

]]> 1.0000000 0.3333333 0 0 x1=#r1y1=#r2x2=#r3y2=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfrac><mn>1</mn><mi>x</mi></mfrac><mo>+</mo><mfrac><mn>1</mn><mi>y</mi></mfrac><mo>=</mo><mfrac><mn>7</mn><mn>72</mn></mfrac></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>42</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>18</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>24</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>24</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>18</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>18</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>24</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>24</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mn>18</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 2.ariketa-1. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«mi»x«/mi»«mo»=«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/math»

Bi soluzio baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mi>x</mi><mo>=</mo><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 2.ariketa-2. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»16«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»8«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mo»=«/mo»«mn»1«/mn»«/math»

Bi soluzio baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mn>16</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>8</mn><mi>x</mi><mo>+</mo><mn>2</mn><mo>=</mo><mn>1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mn>4</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 2.ariketa-3. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«mo»=«/mo»«mn»2«/mn»«/math»

Bi soluzio baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=Ez du soluziorik]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>4</mn><mo>=</mo><mn>2</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>E</mi><mi>z</mi><mo>&#160;</mo><mi mathvariant="normal">d</mi><mi>u</mi><mo>&#160;</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi>k</mi><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 2.ariketa-4. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»9«/mn»«/mfrac»«/math»

Bi soluzio baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mfrac><mn>1</mn><mn>9</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 2.ariketa-5. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«mo»=«/mo»«mn»0«/mn»«/math»

Bi soluzio baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=Ez du soluziorik]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>=</mo><mn>0</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>E</mi><mi>z</mi><mo>&#160;</mo><mi mathvariant="normal">d</mi><mi>u</mi><mo>&#160;</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi>k</mi><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 2.ariketa-6. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»x«/mi»«mo»=«/mo»«mn»0«/mn»«/math»

Bi soluzio baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>=</mo><mn>0</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 3.ariketa-1. Ebatzi ondorengo ekuazioa eta eman emaitza.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>8</mn></mrow><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn></mrow><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn></mrow></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>20</mn><mn>11</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mfrac><mn>20</mn><mn>11</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>20</mn><mn>11</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 3.ariketa-2. Ebatzi ondorengo ekuazioa eta eman emaitza.

]]> iVBORw0KGgoAAAANSUhEUgAAAIUAAAAlCAIAAADjpL2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYGCCYtxtnzagAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nO2a27KDIAxFpXP+/5fpg1OGEyMSc2GLrCfb0TTDTkJCTTnnbQHDZ7QDi38sPbDg9Ugpib7Xk3442X8Kf8evhoixtrEdJj/YpVlLFgOTHyJK0uSc92upbPtTrN5641aEecJHPVmd8vEsS0xcdDVuQoAn1/1VZ6XSe1lCz8O4Fd6edNWrepnWRuLKdX7kio0LkF0hp+7L1TigJ9p50DBdjqZwcjHME0aP0vBcPkzuuRc7ZRI8iqE3Xv+E5nG9J51PoQSgHwhJ1t+YTX5+hSDGJunKIvQYdTBVdmCEdqCTV+QHSIfWg/a8ZBSdk2OjUFjNnrYzLNVDH0fFj7O2hJzEON9hpQAAAKtJREFU3DNuchxweU/DPUNPaqgehtaJMKzlgZttT1zHu/fUeqUHoe86MrMe9TY+dvUb/ynQOzHD5LVM3u8+Dlm9Ckh/kApDCPNKoEdd/pzOIQJ+4gaRXgnqVcDqgAgwkDv7B07kzodYj5iDoNdKLp4/2i+aTEnkcSTiPAgo9tmhnDlw8wegGIUA37D0IJ3lWGcIMYEimz/KdcA8iEPkC5K4xeGdYNWrxdIDiy8nDBeBqL7adAAAAABJRU5ErkJggg== 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mn>1</mn><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac><mo>+</mo><mfrac><mn>1</mn><mrow><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfrac><mo>=</mo><mfrac><mn>1</mn><mrow><mn>12</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn></mrow></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 3.ariketa-3. Ebatzi ondorengo ekuazioa eta eman emaitza.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mi>x</mi><mn>4</mn></mfrac><mo>-</mo><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>8</mn><mo>*</mo><mi>x</mi></mrow><mrow><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>5</mn></mrow></mfrac><mo>=</mo><mfrac><mn>7</mn><mn>4</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>35</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>35</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>35</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 3.ariketa-4. Ebatzi ondorengo ekuazioa eta eman emaitza.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mo>(</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>)</mo><mo>*</mo><mo>(</mo><mn>7</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>)</mo></mrow><mrow><mn>7</mn><mo>*</mo><mi>x</mi><mo>*</mo><mo>(</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo></mrow></mfrac><mo>-</mo><mn>1</mn><mo>=</mo><mn>0</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 3.ariketa-5. Ebatzi ondorengo ekuazioa eta eman emaitza.

Bi soluzio baditu, emaitza txikienetik handienera eman

]]> iVBORw0KGgoAAAANSUhEUgAAAIUAAAAlCAIAAADjpL2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYGCCYtxtnzagAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nO2a27KDIAxFpXP+/5fpg1OGEyMSc2GLrCfb0TTDTkJCTTnnbQHDZ7QDi38sPbDg9Ugpib7Xk3442X8Kf8evhoixtrEdJj/YpVlLFgOTHyJK0uSc92upbPtTrN5641aEecJHPVmd8vEsS0xcdDVuQoAn1/1VZ6XSe1lCz8O4Fd6edNWrepnWRuLKdX7kio0LkF0hp+7L1TigJ9p50DBdjqZwcjHME0aP0vBcPkzuuRc7ZRI8iqE3Xv+E5nG9J51PoQSgHwhJ1t+YTX5+hSDGJunKIvQYdTBVdmCEdqCTV+QHSIfWg/a8ZBSdk2OjUFjNnrYzLNVDH0fFj7O2hJzEON9hpQAAAKtJREFU3DNuchxweU/DPUNPaqgehtaJMKzlgZttT1zHu/fUeqUHoe86MrMe9TY+dvUb/ynQOzHD5LVM3u8+Dlm9Ckh/kApDCPNKoEdd/pzOIQJ+4gaRXgnqVcDqgAgwkDv7B07kzodYj5iDoNdKLp4/2i+aTEnkcSTiPAgo9tmhnDlw8wegGIUA37D0IJ3lWGcIMYEimz/KdcA8iEPkC5K4xeGdYNWrxdIDiy8nDBeBqL7adAAAAABJRU5ErkJggg== 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mn>2</mn><mo>+</mo><mfrac><mn>12</mn><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac><mo>=</mo><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>5</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>5</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 3.ariketa-6. Ebatzi ondorengo ekuazioa eta eman emaitza.

Bi soluzio baditu, emaitza txikienetik handienera eman

]]> 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 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mn>6</mn><mo>-</mo><mi>x</mi></mrow><mn>3</mn></mfrac><mo>-</mo><mfrac><mrow><mn>3</mn><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>)</mo></mrow><mrow><mn>6</mn><mo>+</mo><mi>x</mi></mrow></mfrac><mo>=</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mn>3</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>21</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mfrac><mn>21</mn><mn>2</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>21</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 3.ariketa-7. Ebatzi ondorengo ekuazioa eta eman emaitza.

Bi soluzio baditu, emaitza txikienetik handienera eman

]]> 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 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfrac><mo>-</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac><mo>=</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>6</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>6</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 4.ariketa-1. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mi»x«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=Ez du soluziorik]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>*</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced><mo>=</mo><mn>3</mn><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>E</mi><mi>z</mi><mo>&#160;</mo><mi mathvariant="normal">d</mi><mi>u</mi><mo>&#160;</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi>k</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 4.ariketa-2. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»=«/mo»«mfrac»«mn»6«/mn»«mi»x«/mi»«/mfrac»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn><mo>=</mo><mfrac><mn>6</mn><mi>x</mi></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>2</mn></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 4.ariketa-3. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mo»-«/mo»«mn»1«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>3</mn></mrow></mfenced><mo>=</mo><mo>-</mo><mn>1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 4.ariketa-4. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»4«/mn»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»65«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»16«/mn»«mo»=«/mo»«mn»0«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2x=#r3x=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mn>4</mn><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>65</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>16</mn><mo>=</mo><mn>0</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>4</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mn>2</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mn>4</mn></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 4.ariketa-5. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»16«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»25«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»0«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>16</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>25</mn></mrow></mfenced><mo>=</mo><mn>0</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>4</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 4.ariketa-6. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»6«/mn»«mo»=«/mo»«mn»0«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2x=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mi>x</mi><mo>-</mo><mn>6</mn><mo>=</mo><mn>0</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 5.ariketa-1. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«/msqrt»«mo»=«/mo»«mn»2«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn></mrow></msqrt><mo>=</mo><mn>2</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 5.ariketa-2. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/msqrt»«mo»=«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>3</mn></mrow></msqrt><mo>=</mo><mn>2</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 5.ariketa-3. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»9«/mn»«/msqrt»«mo»+«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»21«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>9</mn></mrow></msqrt><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mn>21</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>4</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 5.ariketa-4. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«msqrt»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/msqrt»«mo»=«/mo»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mn>3</mn><mi>x</mi><mo>-</mo><mn>3</mn><msqrt><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></msqrt><mo>=</mo><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>6</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>6</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 5.ariketa-5. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/msqrt»«mo»-«/mo»«msqrt»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«/msqrt»«mo»=«/mo»«mn»3«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=Ez du soluziorik]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msqrt><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msqrt><mo>-</mo><msqrt><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>4</mn></mrow></msqrt><mo>=</mo><mn>3</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>E</mi><mi>z</mi><mo>&#160;</mo><mi mathvariant="normal">d</mi><mi>u</mi><mo>&#160;</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi>k</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 6.1.ariketa-1. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi

]]> 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 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><msup><mn>3</mn><mrow><mn>1</mn><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></msup><mo>=</mo><mfrac><mn>1</mn><mn>27</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>2.</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 6.1.ariketa-2. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><msup><mn>5</mn><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn></mrow></msup><mo>=</mo><mn>1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2.</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 6.1.ariketa-3. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><msup><mn>3</mn><mrow><mn>4</mn><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></msup><mo>=</mo><mfrac><mn>1</mn><mn>9</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>2.4495</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2.4495</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msqrt><mn>6</mn></msqrt></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msqrt><mn>6</mn></msqrt></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 6.1.ariketa-4. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><msup><mn>2</mn><mrow><mn>3</mn><mo>*</mo><mi>x</mi></mrow></msup><mo>=</mo><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><msup><mo>)</mo><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msup></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>0.33333</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 6.1.ariketa-5. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><msup><mn>7</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msup><mo>=</mo><mn>5764801</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>6.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>6</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 6.1.ariketa-6. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><msup><mn>4</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><msup><mn>2</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msup></mfrac><mo>=</mo><mn>8</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>7.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>7</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 6.1.ariketa-7. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><msup><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>(</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><msup><mo>)</mo><mrow><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>2</mn></mrow></msup></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>1.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 6.1.ariketa-8. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><msup><mn>4</mn><mi>x</mi></msup><mo>*</mo><msup><mn>16</mn><mi>x</mi></msup><mo>=</mo><mn>4</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0.33333</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 6.2.ariketa-1. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mi»x«/mi»«/msup»«mo»+«/mo»«msup»«mn»2«/mn»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»=«/mo»«mn»12«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msup><mn>2</mn><mi>x</mi></msup><mo>+</mo><msup><mn>2</mn><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>12</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 6.2.ariketa-2. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»5«/mn»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»+«/mo»«msup»«mn»5«/mn»«mi»x«/mi»«/msup»«mo»+«/mo»«msup»«mn»5«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»=«/mo»«mfrac»«mn»31«/mn»«mn»5«/mn»«/mfrac»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msup><mn>5</mn><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>+</mo><msup><mn>5</mn><mi>x</mi></msup><mo>+</mo><msup><mn>5</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mfrac><mn>31</mn><mn>5</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 6.2.ariketa-3. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»3«/mn»«mi»x«/mi»«/msup»«mo»+«/mo»«msup»«mn»3«/mn»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/msup»«mo»=«/mo»«mn»30«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msup><mn>3</mn><mi>x</mi></msup><mo>+</mo><msup><mn>3</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msup><mo>=</mo><mn>30</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 6.2.ariketa-4. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»+«/mo»«msup»«mn»2«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/msup»«mo»+«/mo»«msup»«mn»2«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«/mrow»«/msup»«mo»=«/mo»«mn»704«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msup><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>+</mo><msup><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></msup><mo>+</mo><msup><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></msup><mo>=</mo><mn>704</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>10.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>10</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 6.2.ariketa-5. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«msup»«mn»3«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/mfrac»«mo»+«/mo»«msup»«mn»3«/mn»«mrow»«mn»2«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«/msup»«mo»=«/mo»«mfrac»«mn»4«/mn»«mn»27«/mn»«/mfrac»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mfrac><mn>1</mn><msup><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup></mfrac><mo>+</mo><msup><mn>3</mn><mrow><mn>2</mn><mo>-</mo><mi>x</mi></mrow></msup><mo>=</mo><mfrac><mn>4</mn><mn>27</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 6.2.ariketa-6. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»25«/mn»«mi»x«/mi»«/msup»«mo»-«/mo»«mn»130«/mn»«mo».«/mo»«msup»«mn»5«/mn»«mi»x«/mi»«/msup»«mo»+«/mo»«mn»625«/mn»«mo»=«/mo»«mn»0«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><msup><mn>25</mn><mi>x</mi></msup><mo>-</mo><mn>130</mn><mo>*</mo><msup><mn>5</mn><mi>x</mi></msup><mo>+</mo><mn>625</mn><mo>=</mo><mn>0</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1.</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 7.1.ariketa-1. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»log«/mi»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mi»log«/mi»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mi»log«/mi»«mfrac»«mn»13«/mn»«mn»12«/mn»«/mfrac»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mi>log</mi><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn></mrow></mfenced><mo>-</mo><mi>log</mi><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfenced><mo>=</mo><mi>log</mi><mfrac><mn>13</mn><mn>12</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>5.</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>5.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>5</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>5</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 7.1.ariketa-2. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»log«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»+«/mo»«mi»log«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mi»log«/mi»«mn»3«/mn»«mo»+«/mo»«mi»log«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mi>log</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfenced><mo>+</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo>=</mo><mi>log</mi><mo> </mo><mn>3</mn><mo>+</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>5.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>5</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.1.ariketa-3. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mi»log«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»-«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»4«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfenced><mo>=</mo><mi>log</mi><mo> </mo><mi>x</mi><mo>-</mo><mi>log</mi><mo> </mo><mn>4</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.1.ariketa-4. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»log«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mi»log«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»6«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»1«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mi>log</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced><mo>-</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mn>6</mn></mrow></mfenced><mo>=</mo><mn>1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>7.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>7</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.1.ariketa-5. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»log«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»9«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»2«/mn»«mo»+«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mi»x«/mi»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mi>log</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mn>9</mn></mrow></mfenced><mo>=</mo><mn>2</mn><mo>+</mo><mi>log</mi><mo> </mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0.090909</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>1</mn><mn>11</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>11</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.1.ariketa-6. Ebatzi ondorengo ekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»log«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»+«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»4«/mn»«mi»x«/mi»«mo»=«/mo»«mo»-«/mo»«mn»3«/mn»«/math»

Soluzio bat baino gehiago baditu txikienetik handienera ordenatu

Ez badu soluziorik idatzi Ez du soluziorik
Infinitu soluzio baditu idatzi Infinitu soluzio
]]> 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced><mrow><mi>log</mi><mo> </mo><mi>x</mi><mo>+</mo><mi>log</mi><mo> </mo><mn>2</mn><mi>x</mi><mo>+</mo><mi>log</mi><mo> </mo><mo> </mo><mn>4</mn><mi>x</mi><mo>=</mo><mo>-</mo><mn>3</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0.05</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>1</mn><mn>20</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>11</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 7.2.ariketa-1. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>log</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>-</mo><mn>1</mn><mo>=</mo><mi>log</mi><mo>(</mo><mn>22</mn><mo>-</mo><mi>x</mi><mo>)</mo></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>20.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>20</mn></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 7.2.ariketa-2. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>log</mi><mo>(</mo><mn>28</mn><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup><mo>)</mo><mo>-</mo><mn>3</mn><mo>*</mo><mi>log</mi><mo>(</mo><mn>4</mn><mo>-</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>0</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1.</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>3</mn></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 7.2.ariketa-3. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mn>2</mn><mo>*</mo><msub><mi>log</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>-</mo><mn>3</mn><mo>=</mo><msub><mi>log</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>9.899</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>5</mn><mo>+</mo><mn>2</mn><msqrt><mn>6</mn></msqrt></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msqrt><mn>6</mn></msqrt><mo>+</mo><mn>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 7.2.ariketa-4. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mi>log</mi><mfenced><mrow><mn>16</mn><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></mrow><mrow><mi>log</mi><mo>(</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>)</mo></mrow></mfrac><mo>=</mo><mn>2</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2.4</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>12</mn><mn>5</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>12</mn><mn>5</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 7.2.ariketa-5. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>log</mi><mo>(</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>)</mo><mo>-</mo><mi>log</mi><mo>(</mo><mn>2</mn><mo>)</mo><mo>=</mo><mfrac><mrow><mi>log</mi><mo>(</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>)</mo></mrow><mn>2</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 7.2.ariketa-6. Ebatzi ondorengo ekuazioa eta eman emaitza.

 Bi erantzun badaude txikienetik handienera idatzi.

]]> 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 1.0000000 0.3333333 0 0 x=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mn>4</mn><msub><mi>log</mi><mn>5</mn></msub><mo>(</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>)</mo><mo>=</mo><msub><mi>log</mi><mn>5</mn></msub><mo>(</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>)</mo><mo>+</mo><mn>3</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 8.ariketa-1. Ebatzi ondorengo ekuazioa sistema laburketa (reducción) metodoa erabiliz eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«mi»y«/mi»«mo»=«/mo»«mn»20«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»7«/mn»«mi»y«/mi»«mo»=«/mo»«mn»6«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 x=#r1y=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>3</mn><mi>x</mi><mo>+</mo><mn>4</mn><mi>y</mi><mo>=</mo><mn>20</mn></mtd></mtr><mtr><mtd><mn>5</mn><mi>x</mi><mo>-</mo><mn>7</mn><mi>y</mi><mo>=</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 8.ariketa-2. Ebatzi ondorengo ekuazioa sistema ordezkapen (sustitución) metodoa erabiliz eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«/mrow»«mn»2«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mn»5«/mn»«mi»y«/mi»«/mrow»«mn»4«/mn»«/mfrac»«mo»=«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»12«/mn»«mi»x«/mi»«/mrow»«mn»5«/mn»«/mfrac»«mo»=«/mo»«mn»1«/mn»«mo»+«/mo»«mfrac»«mrow»«mn»3«/mn»«mi»y«/mi»«/mrow»«mn»4«/mn»«/mfrac»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 x=#r1y=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd/></mtr><mtr><mtd><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfrac><mrow><mn>3</mn><mi>x</mi></mrow><mn>2</mn></mfrac><mo>+</mo><mfrac><mrow><mn>5</mn><mi>y</mi></mrow><mn>4</mn></mfrac><mo>=</mo><mn>2</mn></mtd></mtr><mtr><mtd><mfrac><mrow><mn>12</mn><mi>x</mi></mrow><mn>5</mn></mfrac><mo>=</mo><mn>1</mn><mo>+</mo><mfrac><mrow><mn>3</mn><mi>y</mi></mrow><mn>4</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mfrac><mn>4</mn><mn>5</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mn>4</mn><mn>5</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>5</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 8.ariketa-3. Ebatzi ondorengo ekuazioa sistema berdinketa (igualación) metodoa erabiliz eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mn»2«/mn»«mi»y«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»5«/mn»«/mfrac»«mo»=«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»2«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«mn»4«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mi»y«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»=«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 x=#r1y=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd/></mtr><mtr><mtd><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfrac><mrow><mi>x</mi><mo>-</mo><mn>5</mn></mrow><mn>3</mn></mfrac><mo>+</mo><mfrac><mrow><mn>2</mn><mi>y</mi><mo>-</mo><mn>1</mn></mrow><mn>5</mn></mfrac><mo>=</mo><mn>2</mn></mtd></mtr><mtr><mtd><mfrac><mrow><mn>2</mn><mo>-</mo><mi>x</mi></mrow><mn>4</mn></mfrac><mo>+</mo><mfrac><mrow><mi>y</mi><mo>+</mo><mn>1</mn></mrow><mn>3</mn></mfrac><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>8</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>8</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 9.1.ariketa-1. Ebatzi ondorengo ekuazioa sistema Gauss_en metodoa erabiliz eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»+«/mo»«mn»2«/mn»«mi»z«/mi»«mo»=«/mo»«mn»7«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mn»5«/mn»«mi»z«/mi»«mo»=«/mo»«mn»10«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»-«/mo»«mn»4«/mn»«mi»z«/mi»«mo»=«/mo»«mo»-«/mo»«mn»9«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 x=#r1y=#r2z=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>-</mo><mi>y</mi><mo>+</mo><mn>2</mn><mi>z</mi><mo>=</mo><mn>7</mn></mtd></mtr><mtr><mtd><mn>2</mn><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mn>5</mn><mi>z</mi><mo>=</mo><mn>10</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>-</mo><mn>4</mn><mi>z</mi><mo>=</mo><mo>-</mo><mn>9</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mi>z</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>z</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 9.1.ariketa-2. Ebatzi ondorengo ekuazioa sistema Gauss_en metodoa erabiliz eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mi»y«/mi»«mo»-«/mo»«mn»2«/mn»«mi»z«/mi»«mo»=«/mo»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«mi»y«/mi»«mo»=«/mo»«mn»8«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 x=#r1y=#r2z=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mn>3</mn><mi>y</mi><mo>-</mo><mn>2</mn><mi>z</mi><mo>=</mo><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn><mi>x</mi><mo>+</mo><mn>5</mn><mi>y</mi><mo>=</mo><mn>8</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>2</mn><mo>,</mo><mi>z</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd/></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr></mtable></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>z</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 9.1.ariketa-3. Ebatzi ondorengo ekuazioa sistema Gauss_en metodoa erabiliz eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mi»y«/mi»«mo»+«/mo»«mn»5«/mn»«mi»z«/mi»«mo»=«/mo»«mn»11«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mi»y«/mi»«mo»+«/mo»«mn»6«/mn»«mi»z«/mi»«mo»=«/mo»«mn»29«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 x=#r1y=#r2z=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn><mi>x</mi><mo>+</mo><mn>3</mn><mi>y</mi><mo>+</mo><mn>5</mn><mi>z</mi><mo>=</mo><mn>11</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>-</mo><mn>5</mn><mi>y</mi><mo>+</mo><mn>6</mn><mi>z</mi><mo>=</mo><mn>29</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mi>z</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>z</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 9.2.ariketa-1. Ebatzi ondorengo ekuazioa sistema Gauss_en metodoa erabiliz eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»y«/mi»«mo»-«/mo»«mi»z«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mi»z«/mi»«mo»=«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/math»

 

Ez badauka soluziorik, idatzi Ez du soluziorik

Infinitu soluzio baditu idatzi Infinitu soluzio

]]> 1.0000000 0.3333333 0 0 Ez du soluziorik]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>-</mo><mi>y</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>y</mi><mo>-</mo><mi>z</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>-</mo><mi>z</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mi>z</mi><mo>&#160;</mo><mi mathvariant="normal">d</mi><mi>u</mi><mo>&#160;</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi>k</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 9.2.ariketa-2. Ebatzi ondorengo ekuazioa sistema Gauss_en metodoa erabiliz eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mi»z«/mi»«mo»=«/mo»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»11«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/math»

 

Ez badauka soluziorik, idatzi Ez du soluziorik

Infinitu soluzio baditu idatzi Infinitu soluzio

]]> 1.0000000 0.3333333 0 0 Infinitu soluzio]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>6</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>-</mo><mi>z</mi><mo>=</mo><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn><mi>x</mi><mo>+</mo><mn>2</mn><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>11</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mi>z</mi><mo>-</mo><mn>1</mn><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>*</mo><mi>z</mi><mo>+</mo><mn>7</mn><mo>,</mo><mi>z</mi><mo>=</mo><mi>z</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><mi>n</mi><mi>f</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>u</mi><mo>&#160;</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">i</mi><mi>o</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 9.2.ariketa-3. Ebatzi ondorengo ekuazioa sistema Gauss_en metodoa erabiliz eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«mi»y«/mi»«mo»+«/mo»«mn»3«/mn»«mi»z«/mi»«mo»=«/mo»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»-«/mo»«mn»2«/mn»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 x=#r1y=#r2z=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>-</mo><mn>2</mn><mi>y</mi><mo>+</mo><mn>3</mn><mi>z</mi><mo>=</mo><mn>5</mn></mtd></mtr><mtr><mtd><mn>2</mn><mi>x</mi><mo>-</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>3</mn></mtd></mtr><mtr><mtd><mn>3</mn><mi>x</mi><mo>+</mo><mi>y</mi><mo>-</mo><mn>2</mn><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>1</mn><mo>,</mo><mi>z</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd/></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr></mtable></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>z</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Problema_11  Si la longitud del lado más grande de un rectángulo es el doble del otro, y el perímetro es de 360 cm., calcula las dimensiones del rectángulo.

Longitud lado mayor  {#1} cm

Longitud lado menor  {#2} cm

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>120</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>60</mn></math></input></command></group></library></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_12 Si al doble de un número le restamos la tercera parte nos da 20. ¿Cuál es el número?

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>12</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Problema_13 Dentro de 16 años la edad de Nerea será el triple de la de hoy. ¿Cuál es la edad actual de Nerea?

Edad actual de Nerea  {#1} años

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_14 La edad de un padre es el triple de la de su hijo, y dentro de 15 años sólo será el doble. ¿Cuáles son las edades actuales de los dos?

Edad del padre  {#1} años

Edad del hijo  {#2} años

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>45</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>15</mn></math></input></command></group></library></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_15 Obtén dos números sabiendo que la suma de los dos es 59 y la resta 15.

Número menor  {#1}

Núimero mayor  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>22</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>37</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_16 Un grupo de chicos está jugando a los chinos con monedas de 20 y 50 céntimos. Al abrir las manos hay 7 monedas y en total suman 2€ y 30 céntimos. ¿Cuántas monedas hay de cada tipo?

Hay  {#1} monedas de 50 céntimos

Hay  {#2} monedas de 20 céntimos

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>4</mn></math></input></command></group></library></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_17 En un hotel hay habitaciones de una y dos camas. En total  48 habitaciones y 80 camas. ¿Cuántas habitaciones hay de cada tipo?

{#1} habitaciones de una cama

{#2} habitaciones de dos camas

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>16</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>32</mn></math></input></command></group></library></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_18 Amaia se dispone a invertir 100.000 €. En el banco le ofrecen dos productos: Fondo tipio A, al 4% de interés anual, y Fondo riesgo B, al 6% de interés anual. Invierte una parte en cada tipo de fondo y al cabo del año obtiene 4.500€ de intereses. ¿Cuánto adquirió de cada producto?

No utilizar el punto para la unidad de millar

{#1} € en fondos del tipo A

{#2} € en fondos del tipo B

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>75000</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>25000</mn></math></input></command></group></library></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_19 A la hora de poner la nota en cierta asignatura se decide que la primera evaluación tiene un valor del 25%, la segunda un 35%, y la tercera un 40%. Un alumno  ha obtenido un  5  en la primera y un 7 en la segunda. ¿Qué nota debe obtener en  la tercera evaluación para que la nota final sea un 7?

Utiliza . para el valor decimal

Nota tercera evaluación  {#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>33</mn><mn>4</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_20 Un comerciante ha comprado 50 kg. de harina y 80 kg. de arroz, pagando por todo 66,10€. Pero ha conseguido comprar la harina un 20% más barato y un 10% el arroz. Por lo tanto al final solo ha pagado 56,24€. ¿Cuánto valía cada artículo al principio?

Utiliza . para el valor decimal

{#1} € costaba el kilo de harina en un principio.

{#2} € costaba el kilo de arroz en un principio.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>13</mn><mn>20</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mn>21</mn><mn>50</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_21 El entrenador de tenis ha repartido las pelotas a los alumnos al comienzo del entrenamiento. Después de dar a cada uno 3 pelotas le sobran 12. Como quiera que cada alumno tenga 5 pelotas, ha calculado que debe comprar 18 pelotas más. ¿Cuántos alumnos tiene?

{#1} alumnos

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>15</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_22 La edad de un padre es cuatro veces la del hijo, aunque dentro de 16 años sólo será el doble.¿Cuántos años tienen los dos en la actualidad?

Edad actual del padre  {#1} años

Edad actual del hijo  {#2} años

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>32</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>8</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_23 La suma de las dos cifras de un número es 12. Si intercambiamos las cifras, el número obtenido es 18 unidades más grande. Calcula el número.

El número es {#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>57</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_24 Un cine tiene igual número de filas que de butacas por fila. El propietario decide remodelarlo quitando una butaca por fila y tres filas. Después de la remodelación, el número de butacas es de 323.

a)      ¿Cuántas filas tenia el cine antes del cambio?

b)      ¿Cuántas butacas hay ahora en cada fila?

{#1} filas inicialmente.

{#2} butacas por fila ahora.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>20</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>19</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_25 Unos amigos están tomando algo en un bar. La consumición es de 6€. Como dos de ellos no tienen dinero lo deben pagar entre los demás. Para ello cada uno debe poner 0,80€ más. ¿Cuántos amigos son?

Son {#1} amigos.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> MATE CCSS I/Tema 2 -Ecuaciones y sistemas de ecuaciones/Gauss Gauss_1_w Resuelve el siguiente sistemas de ecuaciones utilizando el método de Gauss:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnalign=¨left¨ rowspacing=¨0¨»«mtr»«mtd»«mi»#w«/mi»«mo»=«/mo»«mi»#d«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#r«/mi»«mo»=«/mo»«mi»#h«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#q«/mi»«mo»=«/mo»«mi»#l«/mi»«/mtd»«/mtr»«/mtable»«/math»

escribe las soluciones a continuación:

]]> 1.0000000 0.3333333 0 0 x=#r1y=#r2z=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>j</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>l</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr></mtable><mrow><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced><mo>≠</mo><mn>0</mn></mrow></apply></mtd></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr><mtr><mtd><mi>w</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>c</mi><mo>*</mo><mi>z</mi></mtd></mtr><mtr><mtd><mi>r</mi><mo>=</mo><mi>e</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>f</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>g</mi><mo>*</mo><mi>z</mi></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>i</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>j</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>k</mi><mo>*</mo><mi>z</mi></mtd></mtr><mtr><mtd><mi>r1</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>d</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>h</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>l</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd><mi>r2</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>d</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>h</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>l</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd><mi>r3</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>h</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>l</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mo> </mo><mi>r1</mi><mo>∈</mo><integers/><mo>∧</mo><mi>r2</mi><mo>∈</mo><integers/><mo>∧</mo><mi>r3</mi><mo>∈</mo><integers/></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>z</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Gauss_2_w Resuelve el siguiente sistemas de ecuaciones utilizando el método de Gauss:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnalign=¨left¨ rowspacing=¨0¨»«mtr»«mtd»«mi»#w«/mi»«mo»=«/mo»«mi»#d«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#r«/mi»«mo»=«/mo»«mi»#h«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#q«/mi»«mo»=«/mo»«mi»#l«/mi»«/mtd»«/mtr»«/mtable»«/math»

escribe las soluciones a continuación:

]]> 1.0000000 0.3333333 0 0 x=#r1y=#r2z=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>j</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>l</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr></mtable><mrow><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced><mo>≠</mo><mn>0</mn></mrow></apply></mtd></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr><mtr><mtd><mi>w</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>c</mi><mo>*</mo><mi>z</mi></mtd></mtr><mtr><mtd><mi>r</mi><mo>=</mo><mi>e</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>f</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>g</mi><mo>*</mo><mi>z</mi></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>i</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>j</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>k</mi><mo>*</mo><mi>z</mi></mtd></mtr><mtr><mtd><mi>r1</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>d</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>h</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>l</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd><mi>r2</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>d</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>h</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>l</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd><mi>r3</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>h</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>l</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>e</mi></mtd><mtd><mi>f</mi></mtd><mtd><mi>g</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mi>j</mi></mtd><mtd><mi>k</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mo> </mo><mi>r1</mi><mo>∈</mo><rationals/><mo>∧</mo><mi>r2</mi><mo>∈</mo><rationals/><mo>∧</mo><mi>r3</mi><mo>∈</mo><rationals/></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>z</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 12 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»s«/mi»«mi»t«/mi»«mi»e«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»p«/mi»«mi»o«/mi»«mi»r«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»e«/mi»«mi»t«/mi»«mi»o«/mi»«mi»d«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»G«/mi»«mi»a«/mi»«mi»u«/mi»«mi»s«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close="}" open=""»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mi»y«/mi»«mo»-«/mo»«mn»4«/mn»«mi»z«/mi»«mo»=«/mo»«mn»9«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplo:«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mn»2«/mn»«mo»,«/mo»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«mo»/«/mo»«mn»5«/mn»«mo»,«/mo»«mi»z«/mi»«mo»=«/mo»«mo»-«/mo»«mn»4«/mn»«/math»
]]> 1.0000000 1.0000000 0 0 x=1,y=1,z=-1 Pregunta 13 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»s«/mi»«mi»t«/mi»«mi»e«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»p«/mi»«mi»o«/mi»«mi»r«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»e«/mi»«mi»t«/mi»«mi»o«/mi»«mi»d«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»G«/mi»«mi»a«/mi»«mi»u«/mi»«mi»s«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close="}" open=""»«mtable»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mi»y«/mi»«mo»+«/mo»«mn»3«/mn»«mi»z«/mi»«mo»=«/mo»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mn»7«/mn»«mi»z«/mi»«mo»=«/mo»«mn»11«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplo:«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mn»2«/mn»«mo»,«/mo»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«mo»/«/mo»«mn»5«/mn»«mo»,«/mo»«mi»z«/mi»«mo»=«/mo»«mo»-«/mo»«mn»4«/mn»«/math»
]]> 1.0000000 1.0000000 0 0 x=5,y=0,z=-2 MATE CCSS I/Tema 2 -Ecuaciones y sistemas de ecuaciones/Irracionales ECUACION IRRACIONAL_1_w Resuelve la siguiente ecuación  #q=#e-#p1:

]]> 1.0000000 0.3333333 0 0 x=#x1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mi>lista</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo><mo>/</mo><mo>{</mo><mn>0</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>a</mi><mo>-</mo><msup><mi>c</mi><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mi>lista</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo><mo>/</mo><mo>{</mo><mn>0</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>e</mi><mo>-</mo><msqrt><mrow><mi>x</mi><mo>-</mo><mi>b</mi></mrow></msqrt><mo>+</mo><mi>d</mi><mo>-</mo><mi>e</mi></mtd></mtr><mtr><mtd><mi>p1</mi><mo>=</mo><msqrt><mrow><mi>x</mi><mo>-</mo><mi>b</mi></mrow></msqrt><mo>+</mo><mi>d</mi><mo>-</mo><mi>e</mi></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>d</mi><mo>-</mo><mfrac><mi>c</mi><mi>a</mi></mfrac><mo>·</mo><mi>x</mi></mtd></mtr><mtr><mtd><mi>s</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>p</mi><mo>=</mo><mi>q</mi><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>longitud</mi><mo>(</mo><mi>s</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow><mtable><mtr><mtd><mi>lista1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>p</mi><mo>=</mo><mi>q</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>lista_constante</mi><mo>(</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>,</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">while</csymbol><mrow><mi>i</mi><mo>⩽</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo></mrow><mtable><mtr><mtd><msub><mi>sol</mi><mi>i</mi></msub><mo>=</mo><msub><msub><msub><mi>lista1</mi><mi>i</mi></msub><mn>1</mn></msub><mn>2</mn></msub></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>ordenar</mi><mo>(</mo><mi>sol</mi><mo>)</mo></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Irracional_2_w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»r«/mi»«mi»d«/mi»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»m«/mi»«mi»e«/mi»«mi»n«/mi»«mi»o«/mi»«mi»r«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»y«/mi»«mi»o«/mi»«mi»r«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msqrt»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»12«/mn»«/msqrt»«mo»=«/mo»«mn»2«/mn»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>lista1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>12</mn></mrow></msqrt><mo>=</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>lista_constante</mi><mo>(</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>,</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">while</csymbol><mrow><mi>i</mi><mo>⩽</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo></mrow><mtable><mtr><mtd><msub><mi>sol</mi><mi>i</mi></msub><mo>=</mo><msub><msub><msub><mi>lista1</mi><mi>i</mi></msub><mn>1</mn></msub><mn>2</mn></msub></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>ordenar</mi><mo>(</mo><mi>sol</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution">1/2 1/2</data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Irracional_3_w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»r«/mi»«mi»d«/mi»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»m«/mi»«mi»e«/mi»«mi»n«/mi»«mi»o«/mi»«mi»r«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»y«/mi»«mi»o«/mi»«mi»r«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»x«/mi»«mo»=«/mo»«mn»2«/mn»«mo»+«/mo»«msqrt»«mi»x«/mi»«/msqrt»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>lista1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>x</mi><mo>=</mo><mn>2</mn><mo>+</mo><msqrt><mi>x</mi></msqrt><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>lista_constante</mi><mo>(</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>,</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">while</csymbol><mrow><mi>i</mi><mo>⩽</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo></mrow><mtable><mtr><mtd><msub><mi>sol</mi><mi>i</mi></msub><mo>=</mo><msub><msub><msub><mi>lista1</mi><mi>i</mi></msub><mn>1</mn></msub><mn>2</mn></msub></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>ordenar</mi><mo>(</mo><mi>sol</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution">1/2 1/2</data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta 7 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msqrt»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»12«/mn»«/mrow»«/msqrt»«mo»=«/mo»«mn»2«/mn»«mi»x«/mi»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 -2,2 2,-2 Pregunta 8 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msqrt»«mrow»«mn»2«/mn»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«/mrow»«/msqrt»«mo»=«/mo»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 No tiene solucion No tiene solución Pregunta 9 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»=«/mo»«mn»2«/mn»«mo»+«/mo»«msqrt»«mi»x«/mi»«/msqrt»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 4 MATE CCSS I/Tema 2 -Ecuaciones y sistemas de ecuaciones/Logaritmicas Logaritmica_1-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»r«/mi»«mi»d«/mi»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mn»3«/mn»«mi»log«/mi»«mi»x«/mi»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mi»log«/mi»«mfenced»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x1x=#x2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>P</mi><mo>=</mo><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup></mtd></mtr><mtr><mtd><mi>lista1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>P</mi><mo>=</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>lista_constante</mi><mo>(</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>,</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">while</csymbol><mrow><mi>i</mi><mo>⩽</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo></mrow><mtable><mtr><mtd><msub><mi>sol</mi><mi>i</mi></msub><mo>=</mo><msub><msub><msub><mi>lista1</mi><mi>i</mi></msub><mn>1</mn></msub><mn>2</mn></msub></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>ordenar</mi><mo>(</mo><mi>sol</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>=</mo><mn>3</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>2</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><msub><mi>sol</mi><mn>3</mn></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">1/2 1/2</data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Logaritmica_2-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»1«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>P</mi><mo>=</mo><msub><mi>log</mi><mn>2</mn></msub><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfenced><mo>-</mo><msub><mi>log</mi><mn>2</mn></msub><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>lista1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>P</mi><mo>=</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>lista_constante</mi><mo>(</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>,</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">while</csymbol><mrow><mi>i</mi><mo>⩽</mo><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo></mrow><mtable><mtr><mtd><msub><mi>sol</mi><mi>i</mi></msub><mo>=</mo><msub><msub><msub><mi>lista1</mi><mi>i</mi></msub><mn>1</mn></msub><mn>2</mn></msub></mtd></mtr><mtr><mtd><mi>i</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>ordenar</mi><mo>(</mo><mi>sol</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>lista1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution">1/2 1/2</data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta 14 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi mathvariant="normal"»log«/mi»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»-«/mo»«mo»§nbsp;«/mo»«mi mathvariant="normal"»log«/mi»«mfenced»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 1,2 2,1 Pregunta 15 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»/«/mo»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msub»«mi mathvariant="normal"»log«/mi»«mn»2«/mn»«/msub»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«msub»«mi mathvariant="normal"»log«/mi»«mn»2«/mn»«/msub»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
]]> 1.0000000 1.0000000 0 0 3 MATE CCSS I/Tema 2 -Ecuaciones y sistemas de ecuaciones/Operaciones con Polinomios Pregunta 10-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»S«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»8«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»8«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»8«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mrow»«mrow»«mn»4«/mn»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 ×-32×+2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mfrac><mrow><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>8</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>8</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>8</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn></mrow><mrow><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>&#215;</mo><mo>-</mo><mn>3</mn></mrow><mrow><mn>2</mn><mo>&#215;</mo><mo>+</mo><mn>2</mn></mrow></mfrac></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 11-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»S«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mn»16«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»32«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»32«/mn»«mi»x«/mi»«mo»-«/mo»«mn»48«/mn»«/mrow»«mrow»«mn»8«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»8«/mn»«mi»x«/mi»«mo»-«/mo»«mn»48«/mn»«/mrow»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mfrac><mrow><mn>16</mn><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>32</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>32</mn><mi>x</mi><mo>-</mo><mn>48</mn></mrow><mrow><mn>8</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>8</mn><mi>x</mi><mo>-</mo><mn>48</mn></mrow></mfrac><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 12a-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»E«/mi»«mi»f«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»u«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»l«/mi»«mi»t«/mi»«mi»a«/mi»«mi»d«/mi»«mi»o«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mn»1«/mn»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«/mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»5«/mn»«mi»y«/mi»«mo»-«/mo»«mi»x«/mi»«/mrow»«mi»y«/mi»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mi»y«/mi»«mo»-«/mo»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«mi»x«/mi»«mi»y«/mi»«/mrow»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mfrac><mrow><mn>1</mn><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi></mrow><msup><mi>x</mi><mn>2</mn></msup></mfrac><mo>-</mo><mfrac><mrow><mn>5</mn><mo>*</mo><mi>y</mi><mo>-</mo><mi>x</mi></mrow><mi>y</mi></mfrac><mo>-</mo><mfrac><mrow><mn>3</mn><mi>x</mi><mo>*</mo><mi>y</mi><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><mi>x</mi><mo>*</mo><mi>y</mi></mrow></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 12b-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»E«/mi»«mi»f«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»u«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»l«/mi»«mi»t«/mi»«mi»a«/mi»«mi»d«/mi»«mi»o«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mn»4«/mn»«mi»x«/mi»«mo»+«/mo»«mn»12«/mn»«/mrow»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mrow»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»12«/mn»«/mrow»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mfrac><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mrow><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>12</mn></mrow></mfrac><mo>-</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow><mrow><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn></mrow></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 13a-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»E«/mi»«mi»f«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»u«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»l«/mi»«mi»t«/mi»«mi»a«/mi»«mi»d«/mi»«mi»o«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mn»3«/mn»«mrow»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»6«/mn»«mi»x«/mi»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mn»1«/mn»«mi»x«/mi»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mn»2«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«mrow»«mn»6«/mn»«mi»x«/mi»«mo»+«/mo»«mn»12«/mn»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«/math»

]]> 1.0000000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mfrac><mn>3</mn><mrow><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><mi>x</mi></mrow></mfrac><mo>+</mo><mfrac><mn>1</mn><mi>x</mi></mfrac><mo>+</mo><mfrac><mrow><mn>2</mn><mo>-</mo><mi>x</mi></mrow><mrow><mn>6</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>12</mn></mrow></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 13b-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»E«/mi»«mi»f«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»u«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»l«/mi»«mi»t«/mi»«mi»a«/mi»«mi»d«/mi»«mi»o«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfenced»«mrow»«mfrac»«mn»1«/mn»«mrow»«mn»2«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«/mfrac»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«mn»2«/mn»«mo»-«/mo»«mfrac»«mi»x«/mi»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfrac»«/mrow»«/mfenced»«mspace linebreak=¨newline¨/»«/math»

]]> 1.0000000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mfrac><mfenced><mrow><mfrac><mn>1</mn><mrow><mn>2</mn><mo>-</mo><mi>x</mi></mrow></mfrac><mo>+</mo><mn>1</mn></mrow></mfenced><mfenced><mrow><mn>2</mn><mo>-</mo><mfrac><mi>x</mi><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac></mrow></mfenced></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 13c-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»E«/mi»«mi»f«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»u«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»l«/mi»«mi»t«/mi»«mi»a«/mi»«mi»d«/mi»«mi»o«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»§#160;«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»9«/mn»«/mrow»«/mfrac»«mo»§#183;«/mo»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mrow»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mrow»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»1«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»6«/mn»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«/math»

]]> 1.0000000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>9</mn></mrow></mfrac><mo>·</mo><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn></mrow><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn></mrow></mfrac><mo>-</mo><mfrac><mrow><mn>1</mn><mo>-</mo><mi>x</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>6</mn></mrow></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 2a-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»§#160;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#183;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«/math»

]]> 0.3300000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mfenced><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>1</mn></mrow></mfenced><mo>·</mo><mfenced><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mn>1</mn></mrow></mfenced></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 2b-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msup»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mspace linebreak=¨newline¨/»«/math»

]]> 0.3300000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msup><mfenced><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 2c-w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»§#160;«/mo»«msup»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mspace linebreak=¨newline¨/»«/math»

]]> 0.3300000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msup><mfenced><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta1 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»S«/mi»«mi»e«/mi»«mi»a«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»P«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»7«/mn»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»Q«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mo»§nbsp;«/mo»«mo».«/mo»«mo»§nbsp;«/mo»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»u«/mi»«mo»§nbsp;«/mo»«mi»p«/mi»«mi»r«/mi»«mi»o«/mi»«mi»d«/mi»«mi»u«/mi»«mi»c«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»a«/mi»«mo».«/mo»«/math»
]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»29«/mn»«mi»x«/mi»«mo»+«/mo»«mn»35«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»12«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»20«/mn»«mi»x«/mi»«mo»+«/mo»«mn»58«/mn»«/math» Pregunta10 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»S«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»8«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»8«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»8«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mrow»«mrow»«mn»4«/mn»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta11 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»S«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»16«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»32«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»32«/mn»«mi»x«/mi»«mo»-«/mo»«mn»48«/mn»«/mrow»«mrow»«mn»8«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»8«/mn»«mi»x«/mi»«mo»-«/mo»«mn»48«/mn»«/mrow»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta12 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»E«/mi»«mi»f«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»u«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»e«/mi»«mi»r«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»l«/mi»«mi»t«/mi»«mi»a«/mi»«mi»d«/mi»«mi»o«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»a«/mi»«mo»)«/mo»«mfrac»«mrow»«mn»1«/mn»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«/mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»5«/mn»«mi»y«/mi»«mo»-«/mo»«mi»x«/mi»«/mrow»«mi»y«/mi»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mi»y«/mi»«mo»-«/mo»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«mi»x«/mi»«mi»y«/mi»«/mrow»«/mfrac»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»b«/mi»«mo»)«/mo»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mn»4«/mn»«mi»x«/mi»«mo»+«/mo»«mn»12«/mn»«/mrow»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mrow»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»12«/mn»«/mrow»«/mfrac»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd/»«/mtr»«/mtable»«/math»]]> 1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta13 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" 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1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta2 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«mo».«/mo»«mi»_«/mi»«mo»§nbsp;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»·«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mi»b«/mi»«mo».«/mo»«mi»_«/mi»«mo»§nbsp;«/mo»«msup»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mtd»«/mtr»«mtr»«mtd»«mi»c«/mi»«mo».«/mo»«mi»_«/mi»«mo»§nbsp;«/mo»«msup»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta3 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»c«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»i«/mi»«mi»v«/mi»«mi»i«/mi»«mi»s«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»6«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfrac»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mi»R«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»-«/mo»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mi»R«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»-«/mo»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mi»R«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/math» Pregunta4 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msup»«mfenced»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»·«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»+«/mo»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»7«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»5«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/math» Pregunta5 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»c«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»i«/mi»«mi»v«/mi»«mi»i«/mi»«mi»s«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mfrac»«mrow»«mo»-«/mo»«mn»3«/mn»«msup»«mi»x«/mi»«mn»5«/mn»«/msup»«mo»+«/mo»«mn»11«/mn»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»-«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mfrac»«mn»19«/mn»«mn»4«/mn»«/mfrac»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mfrac»«mn»9«/mn»«mn»8«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mfrac»«mn»71«/mn»«mn»16«/mn»«/mfrac»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»R«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»169«/mn»«mn»16«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mfrac»«mn»39«/mn»«mn»16«/mn»«/mfrac»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»-«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mfrac»«mn»19«/mn»«mn»4«/mn»«/mfrac»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mfrac»«mn»9«/mn»«mn»8«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mfrac»«mn»63«/mn»«mn»16«/mn»«/mfrac»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»R«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»169«/mn»«mn»16«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mfrac»«mn»31«/mn»«mn»16«/mn»«/mfrac»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»-«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mfrac»«mn»19«/mn»«mn»2«/mn»«/mfrac»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mfrac»«mn»8«/mn»«mn»9«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mfrac»«mn»71«/mn»«mn»16«/mn»«/mfrac»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»R«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»169«/mn»«mn»16«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mfrac»«mn»31«/mn»«mn»16«/mn»«/mfrac»«/math» Pregunta6 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»C«/mi»«mi»a«/mi»«mi»l«/mi»«mi»c«/mi»«mi»u«/mi»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mo»(«/mo»«mi»a«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»g«/mi»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»R«/mi»«mi»u«/mi»«mi»f«/mi»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»i«/mi»«mo»)«/mo»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»c«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»i«/mi»«mi»v«/mi»«mi»i«/mi»«mi»s«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»7«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»6«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»5«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»R«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»0«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»6«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»5«/mn»«/msup»«mo»-«/mo»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»R«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»0«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»6«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»5«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»R«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»1«/mn»«/math» Pregunta7 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»F«/mi»«mi»a«/mi»«mi»c«/mi»«mi»t«/mi»«mi»o«/mi»«mi»r«/mi»«mi»i«/mi»«mi»z«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»p«/mi»«mi»o«/mi»«mi»l«/mi»«mi»i«/mi»«mi»n«/mi»«mi»o«/mi»«mi»m«/mi»«mi»i«/mi»«mi»o«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mi»u«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»8«/mn»«/msup»«mo»-«/mo»«mn»16«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«msup»«mi»y«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mtd»«/mtr»«mtr»«mtd»«mn»25«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»16«/mn»«msup»«mi»z«/mi»«mn»2«/mn»«/msup»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 false true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«msqrt»«mn»2«/mn»«/msqrt»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«msqrt»«mn»2«/mn»«/msqrt»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«mn»4«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«mn»4«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mfenced»«mrow»«mn»2«/mn»«mi»y«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mn»2«/mn»«mi»y«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»2«/mn»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»y«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mn»2«/mn»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»y«/mi»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»5«/mn»«mi»x«/mi»«mi»y«/mi»«mo»-«/mo»«mn»4«/mn»«mi»z«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«mn»5«/mn»«mi»x«/mi»«mi»y«/mi»«mo»+«/mo»«mn»4«/mn»«mi»z«/mi»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced»«mrow»«mn»5«/mn»«mi»x«/mi»«mi»y«/mi»«mo»-«/mo»«mn»4«/mn»«mi»z«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/math» Pregunta8 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»F«/mi»«mi»a«/mi»«mi»c«/mi»«mi»t«/mi»«mi»o«/mi»«mi»r«/mi»«mi»i«/mi»«mi»z«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»p«/mi»«mi»o«/mi»«mi»l«/mi»«mi»i«/mi»«mi»n«/mi»«mi»o«/mi»«mi»m«/mi»«mi»i«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»P«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»8«/mn»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»40«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»32«/mn»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»8«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»8«/mn»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»8«/mn»«mi»x«/mi»«mo»-«/mo»«mn»32«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/math» Pregunta9 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»F«/mi»«mi»a«/mi»«mi»c«/mi»«mi»t«/mi»«mi»o«/mi»«mi»r«/mi»«mi»i«/mi»«mi»z«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»p«/mi»«mi»o«/mi»«mi»l«/mi»«mi»i«/mi»«mi»n«/mi»«mi»o«/mi»«mi»m«/mi»«mi»i«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«mi»a«/mi»«mi»r«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»P«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»6«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»7«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/math»]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»6«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»8«/mn»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»6«/mn»«mi»x«/mi»«mo»-«/mo»«mn»6«/mn»«/mrow»«/mfenced»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/math» MATE CCSS I/Tema 2 -Ecuaciones y sistemas de ecuaciones/Problemas Pregunta 18 Normal 0 21 false false false MicrosoftInternetExplorer4

La suma de las dos cifras de un número es igual a 9. Si lo invertimos, el número obtenido excede en 9 unidades a la cuarta parte del número dado. El número es:


]]> 1.0000000 1.0000000 0 true true abc 72 45 81 36 Pregunta 19 Normal 0 21 false false false MicrosoftInternetExplorer4

Si a un número negativo le sumo las tres cuartas partes de su cuadrado da 5. Calcula dicho número.


]]> 1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta 20 Normal 0 21 false false false MicrosoftInternetExplorer4

Se mezclan una cantidad de vino de 3 euros el litro con otra cantidad de gaseosa de 0,5 euros el litro. Si se quieren obtener 25 litros de mezcla a 2,55 euros el litro, calcula las cantidades que hay que emplear.


]]> 1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta 21 Normal 0 21 false false false MicrosoftInternetExplorer4

Calcula un número de dos cifras tal que la suma de ellas sea 9, y si al producto de ellas se le añade 13 unidades, se obtiene el número que resulta de invertir el orden de sus cifras.

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta 22 Normal 0 21 false false false MicrosoftInternetExplorer4

Calcula la edad de un padre y un hijo, sabiendo que hace 7 años la edad del padre era quíntuplo de la del hijo, y que dentro de 2 años, la edad del padre será triple que la del hijo.

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 MATE CCSS I/Tema 2 -Ecuaciones y sistemas de ecuaciones/Sistemas de 2 ecuaciones Pregunta 10 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»s«/mi»«mi»t«/mi»«mi»e«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close="}" open=""»«mtable»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mfrac»«mn»11«/mn»«mn»2«/mn»«/mfrac»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplo:«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mn»2«/mn»«mo»,«/mo»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«mo»/«/mo»«mn»5«/mn»«/math»
]]> 1.0000000 1.0000000 0 0 x=1/2,y=1 y=1,x=1/2 Pregunta 11 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»s«/mi»«mi»t«/mi»«mi»e«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»:«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close="}" open=""»«mtable»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»6«/mn»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»

Si tiene varias soluciones, escríbelas separadas por una coma y sin espacios en blanco y ordenadas de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplo:«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mn»2«/mn»«mo»,«/mo»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«mo»/«/mo»«mn»5«/mn»«/math»
]]> 1.0000000 1.0000000 0 0 x=4/3,y=7/9 y=7/9,x=4/3 Sistema de ecuaciones_1_w Sea el siguientes sistema de ecuaciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#a1«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mo»(«/mo»«mi»#b1«/mi»«mo»)«/mo»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#e1«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#a2«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mo»(«/mo»«mi»#b2«/mi»«mo»)«/mo»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#e2«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

Resuelve el siguiente sistema de ecuaciones utilizando el método de reducción e indica la solución:

]]> 1.0000000 0.3333333 0 0 x=#i1y=#i2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>i1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>i1</mi><mo>≠</mo><mi>i2</mi><mo>∧</mo><mi>mcd</mi><mo>(</mo><mi>a1</mi><mo>,</mo><mi>a2</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>∧</mo><mi>mcd</mi><mo>(</mo><mi>b1</mi><mo>,</mo><mi>b2</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>∧</mo><mfenced close="|" open="|"><mi>a1</mi></mfenced><mo>≠</mo><mn>1</mn><mo>∧</mo><mfenced close="|" open="|"><mi>a2</mi></mfenced><mo>≠</mo><mn>1</mn><mo>∧</mo><mfenced close="|" open="|"><mi>b1</mi></mfenced><mo>≠</mo><mn>1</mn><mo>∧</mo><mfenced close="|" open="|"><mi>b2</mi></mfenced><mo>≠</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a1</mi><mo>·</mo><mi>i1</mi><mo>+</mo><mi>b1</mi><mo>·</mo><mi>i2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a2</mi><mo>·</mo><mi>i1</mi><mo>+</mo><mi>b2</mi><mo>·</mo><mi>i2</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Sistema de ecuaciones_2_w Sea el siguientes sistema de ecuaciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#a1«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mo»(«/mo»«mi»#b1«/mi»«mo»)«/mo»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#e1«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#a2«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mo»(«/mo»«mi»#b2«/mi»«mo»)«/mo»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#e2«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

Resuelve el siguiente sistema de ecuaciones utilizando el método que quieras e indica la solución:

]]> 1.0000000 0.3333333 0 0 x=#i1y=#i2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>i1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>mcd</mi><mo>(</mo><mi>a1</mi><mo>,</mo><mi>a2</mi><mo>)</mo><mo>≠</mo><mn>1</mn><mo>∨</mo><mi>mcd</mi><mo>(</mo><mi>b1</mi><mo>,</mo><mi>b2</mi><mo>)</mo><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>i1</mi><mo>≠</mo><mi>i2</mi><mo>∧</mo><mi>a1</mi><mo>≠</mo><mi>a2</mi><mo>∨</mo><mi>b1</mi><mo>≠</mo><mi>b2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a1</mi><mo>·</mo><mi>i1</mi><mo>+</mo><mi>b1</mi><mo>·</mo><mi>i2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a2</mi><mo>·</mo><mi>i1</mi><mo>+</mo><mi>b2</mi><mo>·</mo><mi>i2</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Sistema de ecuaciones_No lineal_w Resuelve el siguiente sistema de ecuaciones no lineal.

                                          «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#c«/mi»«mo»·«/mo»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#a«/mi»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mi»#b«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Escribe aquí sus soluciones, primera solución menor valor de x:

]]> 1.0000000 0.3333333 0 0 x1=#p1y1=#p2x2=#p11y2=#p22]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mrow><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mrow><mrow><mi>c</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c</mi><mo>≠</mo><mn>1</mn></mrow></apply></mtd></mtr><mtr><mtd><mi>S</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>c</mi><mo>·</mo><mi>x</mi><mo>-</mo><mi>y</mi><mo>=</mo><mi>a</mi></mtd></mtr><mtr><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup><mo>=</mo><mi>b</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>S</mi><mo>)</mo><mo>=</mo><mn>2</mn></mrow></apply><mrow><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>∈</mo><rationals/></mrow></apply></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0</mn><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>4</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>20</mn><mn>13</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mfrac><mn>48</mn><mn>13</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><msub><mi>S</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>20</mn><mn>13</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y2</mi><mo>=</mo><msub><mi>S</mi><mn>2</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>48</mn><mn>13</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p1</mi><mo>=</mo><mi>minimo</mi><mo>(</mo><mi>x1</mi><mo>,</mo><mi>x2</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p2</mi><mo>=</mo><mi>c</mi><mo>*</mo><mi>p1</mi><mo>-</mo><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p11</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><mi>x1</mi><mo>,</mo><mi>x2</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>20</mn><mn>13</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p22</mi><mo>=</mo><mi>c</mi><mo>*</mo><mi>p11</mi><mo>-</mo><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>48</mn><mn>13</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>p</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>p</mi><mn>2</mn><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>p</mi><mn>11</mn><mspace linebreak="newline"/><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>p</mi><mn>22</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> MATE CCSS I/TEMA 3 -Inecuaciones/1 grado Pregunta 1 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»§lt;«/mo»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/math»
]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§gt;«/mo»«mo»-«/mo»«mn»3«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§#10878;«/mo»«mo»-«/mo»«mn»3«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§lt;«/mo»«mo»-«/mo»«mn»3«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§lt;«/mo»«mn»3«/mn»«/math» Pregunta 1_w Resuelve la siguiente inecuacion:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»§#60;«/mo»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/math»

Expresalo en forma de inecuacion, por ejemplo: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§#8805;«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver_inecuacion</mi><mo>(</mo><mfrac><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mn>3</mn></mfrac><mo>-</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mn>2</mn></mfrac><mo>&lt;</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 2 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mn»4«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»6«/mn»«/mfrac»«mo»§lt;«/mo»«mo»-«/mo»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»9«/mn»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»
]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§lt;«/mo»«mfrac»«mrow»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»4«/mn»«/mfrac»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§#10878;«/mo»«mo»-«/mo»«mn»3«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§gt;«/mo»«mfrac»«mrow»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»4«/mn»«/mfrac»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§lt;«/mo»«mn»3«/mn»«/math» MATE CCSS I/TEMA 3 -Inecuaciones/2 grado INECUACION 2 GRADO_W Dada la inecuación de segundo grado


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#m«/mi»«mo»§#10878;«/mo»«mn»0«/mn»«/math»


marca las afirmaciones que son ciertas

]]> 1.0000000 0.1000000 0 false true abc Las soluciones de la inecuación son los valores de x tales que «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#a1«/mi»«mo»§#10877;«/mo»«mi»x«/mi»«mo»§#10877;«/mo»«mi»#a2«/mi»«/math»

]]> #a3 es una solución de la inecuación

]]> las soluciones de la inecuación son los valores de x pertenecientes al intervalo [#a1,#a2]

]]> las soluciones de la inecuación son sólo los valores de x pertenecientes al intervalo (#a1,#a2)

]]> las soluciones de la inecuación son los valores de x pertenecientes a la unión de los intervalos «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mi»#a1«/mi»«mo»]«/mo»«mo»§#8746;«/mo»«mo»[«/mo»«mi»#a2«/mi»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«mo»)«/mo»«/math»

]]> las soluciones de la inecuación son los valores de x tales que«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§#10877;«/mo»«mi»#a1«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#10878;«/mo»«mi»#a2«/mi»«/math»

]]> #a3 es la única solución de la inecuación

]]> <question><wirisCasSession>&lt;session lang=&quot;en&quot; version=&quot;2.0&quot;&gt;&lt;library closed=&quot;false&quot;&gt;&lt;mtext style=&quot;color:#ffc800&quot; xml:lang=&quot;es&quot;&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;a1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;random&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;a2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;a1&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;a3&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;a1&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;random&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;a1&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;a2&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession><localData><data name="cas">false</data></localData></question> Pregunta 3
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»4«/mn»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»§lt;«/mo»«mo»-«/mo»«msup»«mfenced»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mtd»«/mtr»«/mtable»«/math»

La solución sin espacios en blanco.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplos: 2<x<5
-1<=x<5/3
]]> 1.0000000 1.0000000 0 0 Pregunta 3_w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»-«/mo»«mn»4«/mn»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»§#60;«/mo»«mo»-«/mo»«msup»«mfenced»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»D«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»p«/mi»«mi»o«/mi»«mi»r«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»j«/mi»«mi»e«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»o«/mi»«mo»:«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»2«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mi>resolver_inecuacion</mi><mo>(</mo><mo>-</mo><mn>4</mn><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced><mn>2</mn></msup><mo>&lt;</mo><mo>-</mo><msup><mfenced><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced><mn>2</mn></msup><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 4
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»6«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mo»§gt;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/math»

La solución sin espacios en blanco.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplos: 2<x<5
-1<=x<5/3
]]> 1.0000000 1.0000000 0 0 Pregunta 4_w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»6«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mo»§#62;«/mo»«mn»0«/mn»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»E«/mi»«mi»x«/mi»«mi»p«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mi»u«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»m«/mi»«mi»o«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»o«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (1,5)]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS I/TEMA 3 -Inecuaciones/2 incognitas Pregunta 13
ine1
]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»§#10877;«/mo»«mn»0«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»§#10878;«/mo»«mn»0«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mi»y«/mi»«mo»§#10878;«/mo»«mn»0«/mn»«/math» Pregunta 14
ine2
]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»§#10878;«/mo»«mn»1«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»§#10877;«/mo»«mn»1«/mn»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mi»y«/mi»«mo»§#10878;«/mo»«mn»1«/mn»«/math» MATE CCSS I/TEMA 3 -Inecuaciones/Galdetegiak egiteko 3.1.1.ariketa-1. Ebatzi inekuazio hauek

]]> 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 1.0000000 0.3333333 0 0 #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mn>6</mn><mo>*</mo><mi>x</mi></mrow><mn>5</mn></mfrac><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>⩽</mo><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi></mrow><mn>3</mn></mfrac><mo>-</mo><mn>1</mn><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>⩽</mo><mo>-</mo><mfrac><mn>5</mn><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mfrac><mn>5</mn><mn>4</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.1.1.ariketa-2. Ebatzi inekuazio hauek

]]> 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 1.0000000 0.3333333 0 0 #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn>2</mn><mo>*</mo><mo>(</mo><mn>3</mn><mo>-</mo><mi>x</mi><mo>)</mo><mo>&lt;</mo><mn>7</mn><mo>-</mo><mn>5</mn><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&lt;</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mn>2</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.1.1.ariketa-3. Ebatzi inekuazio hauek

]]> 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 1.0000000 0.3333333 0 0 #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mi>x</mi><mn>2</mn></mfrac><mo>+</mo><mfrac><mi>x</mi><mn>6</mn></mfrac><mo>&lt;</mo><mfrac><mrow><mo>-</mo><mi>x</mi><mo>+</mo><mn>2</mn></mrow><mn>5</mn></mfrac><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&lt;</mo><mfrac><mn>6</mn><mn>13</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mfrac><mn>6</mn><mn>13</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.1.1.ariketa-4. Ebatzi inekuazio hauek

]]> 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 1.0000000 0.3333333 0 0 #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>&gt;</mo><mo>-</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&gt;</mo><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><mn>2</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.1.2.ariketa-1. Ebatzi ondorengo inekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»§#8805;«/mo»«mfrac»«mrow»«mn»1«/mn»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«/mrow»«mn»3«/mn»«/mfrac»«mo»+«/mo»«mn»4«/mn»«/math»

]]> 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 1.0000000 0.3333333 0 0 #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver_inecuacion</mi><mfenced><mrow><mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mn>2</mn></mfrac><mo>-</mo><mn>3</mn><mi>x</mi><mo>⩾</mo><mfrac><mrow><mn>1</mn><mo>-</mo><mn>5</mn><mi>x</mi></mrow><mn>3</mn></mfrac><mo>+</mo><mn>4</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>⩽</mo><mo>-</mo><mfrac><mn>23</mn><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mfrac><mn>23</mn><mn>5</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.1.2.ariketa-2. Ebatzi ondorengo inekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mi»x«/mi»«mn»4«/mn»«/mfrac»«mo»§#8805;«/mo»«mfrac»«mrow»«mn»5«/mn»«mi»x«/mi»«/mrow»«mn»12«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«/math»

Ez badu soluziorik, idatzi  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»

]]> 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 1.0000000 0.3333333 0 0 #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver_inecuacion</mi><mfenced><mrow><mfrac><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mn>3</mn></mfrac><mo>-</mo><mfrac><mi>x</mi><mn>4</mn></mfrac><mo>⩾</mo><mfrac><mrow><mn>5</mn><mi>x</mi></mrow><mn>12</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cierto</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.1.2.ariketa-3. Ebatzi ondorengo inekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»5«/mn»«mi»x«/mi»«/mrow»«mn»7«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mn»13«/mn»«mn»21«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mi»x«/mi»«mn»15«/mn»«/mfrac»«mo»§#60;«/mo»«mfrac»«mn»9«/mn»«mn»25«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«/mrow»«mn»35«/mn»«/mfrac»«/math»


]]> 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 1.0000000 0.3333333 0 0 #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver_inecuacion</mi><mfenced><mrow><mfrac><mrow><mn>5</mn><mi>x</mi></mrow><mn>7</mn></mfrac><mo>-</mo><mfrac><mn>13</mn><mn>21</mn></mfrac><mo>+</mo><mfrac><mi>x</mi><mn>15</mn></mfrac><mo>&lt;</mo><mfrac><mn>9</mn><mn>25</mn></mfrac><mo>-</mo><mfrac><mrow><mn>2</mn><mi>x</mi></mrow><mn>35</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&lt;</mo><mfrac><mn>257</mn><mn>220</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mfrac><mn>257</mn><mn>220</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.1.2.ariketa-4. Ebatzi ondorengo inekuazioa eta eman emaitza.

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»5«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»4«/mn»«mi»x«/mi»«mo»+«/mo»«mn»8«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»§#60;«/mo»«mfrac»«mi»x«/mi»«mn»4«/mn»«/mfrac»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«/math»


]]> 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 1.0000000 0.3333333 0 0 #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver_inecuacion</mi><mfenced><mrow><mfrac><mrow><mn>3</mn><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mn>5</mn></mfrac><mo>-</mo><mfrac><mrow><mn>4</mn><mi>x</mi><mo>+</mo><mn>8</mn></mrow><mn>2</mn></mfrac><mo>&lt;</mo><mfrac><mi>x</mi><mn>4</mn></mfrac><mo>-</mo><mn>3</mn><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&lt;</mo><mfrac><mn>92</mn><mn>27</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mfrac><mn>92</mn><mn>27</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.2-Ariketa1 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»10«/mn»«mo»§#8804;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mi>x</mi><mo>+</mo><mn>10</mn><mo>⩽</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.2-Ariketa2 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»9«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»6«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§#62;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn>9</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mi>x</mi><mo>+</mo><mn>1</mn><mo>&gt;</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.2-Ariketa3 Ebatzi ondorengo inekuazioa eta emaitza eman:

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»8«/mn»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«mo»§#10878;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>8</mn><mi>x</mi><mo>+</mo><mn>4</mn><mo>⩾</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.2-Ariketa4 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mn»3«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mn»11«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mn»15«/mn»«/mfrac»«mo»§#60;«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»3«/mn»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mn>3</mn></mfrac><mo>+</mo><mfrac><mrow><mn>11</mn><mi>x</mi><mo>+</mo><mn>2</mn></mrow><mn>15</mn></mfrac><mo>&lt;</mo><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.3-Ariketa1 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«mo»§#8805;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn><mo>⩾</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.3-Ariketa2 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»12«/mn»«mi»x«/mi»«mo»+«/mo»«mn»15«/mn»«mo»§#8804;«/mo»«mn»0«/mn»«/math»


Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>12</mn><mi>x</mi><mo>+</mo><mn>15</mn><mo>⩽</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.3-Ariketa3 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»11«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»10«/mn»«mi»x«/mi»«mo»§#8804;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>11</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>10</mn><mi>x</mi><mo>⩽</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.3-Ariketa4 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«mo»§#8805;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>1</mn><mo>⩾</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.3-Ariketa5 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»12«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»32«/mn»«mi»x«/mi»«mo»§#62;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>12</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>32</mn><mi>x</mi><mo>&gt;</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.3-Ariketa6 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»12«/mn»«mi»x«/mi»«mo»+«/mo»«mn»18«/mn»«mo»§#60;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>-</mo><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>12</mn><mi>x</mi><mo>+</mo><mn>18</mn><mo>&lt;</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.4-Ariketa1 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»6«/mn»«mi»x«/mi»«/mrow»«mn»5«/mn»«/mfrac»«mo»§#62;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mi>x</mi></mrow><mn>5</mn></mfrac><mo>&gt;</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.4-Ariketa2 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«mo»+«/mo»«mn»2«/mn»«mo»§#60;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac><mo>+</mo><mn>2</mn><mo>&lt;</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.4-Ariketa3 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»3«/mn»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»8«/mn»«/mrow»«/mfrac»«mo»§#60;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mn>3</mn><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>8</mn></mrow></mfrac><mo>&lt;</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.4-Ariketa4 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mi»x«/mi»«/mfrac»«mo»-«/mo»«mn»1«/mn»«mo»§#8805;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mn>1</mn><mi>x</mi></mfrac><mo>-</mo><mn>1</mn><mo>⩾</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.4-Ariketa5 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«/mrow»«mrow»«mn»2«/mn»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mo»)«/mo»«/mrow»«/mfrac»«mo»§#8804;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow><mrow><mn>2</mn><mo>(</mo><mi>x</mi><mo>-</mo><mn>5</mn><mo>)</mo></mrow></mfrac><mo>⩽</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.4-Ariketa6 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«mrow»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«mo»§#8805;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mrow><mo>-</mo><mn>4</mn></mrow></mfrac><mo>⩾</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.5-Ariketa1 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»3«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#8804;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mn>3</mn><mo>-</mo><mi>x</mi></mrow><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfrac><mo>⩽</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.5-Ariketa2 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mo»-«/mo»«mn»10«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»§#60;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mo>-</mo><mn>10</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>&lt;</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.5-Ariketa3 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»3«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»§#62;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>&gt;</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.5-Ariketa4 Ebatzi ondorengo inekuazioa eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»6«/mn»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#8805;«/mo»«mn»0«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mn>6</mn><mo>-</mo><mn>2</mn><mi>x</mi></mrow><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfrac><mo>⩾</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.6-Ariketa1 Ebatzi ondorengo inekuazio sistema  eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»7«/mn»«mo»§#60;«/mo»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mo»+«/mo»«mn»3«/mn»«mi»x«/mi»«mo»§#8805;«/mo»«mi»x«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mn>4</mn><mi>x</mi><mo>-</mo><mn>7</mn><mo>&lt;</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>+</mo><mn>3</mn><mi>x</mi><mo>⩾</mo><mi>x</mi><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.6-Ariketa2 Ebatzi ondorengo inekuazio sistema  eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§#62;«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»10«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mo»§#60;«/mo»«mi»x«/mi»«mo»+«/mo»«mn»17«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>1</mn><mo>&gt;</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>10</mn><mo>,</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>3</mn><mo>&lt;</mo><mi>x</mi><mo>+</mo><mn>17</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.6-Ariketa3 Ebatzi ondorengo inekuazio sistema  eta emaitza eman:

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mn»5«/mn»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mo»)«/mo»«mo»§#8804;«/mo»«mfrac»«mrow»«mn»11«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«mn»3«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»3«/mn»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«mo»)«/mo»«/mrow»«mn»4«/mn»«/mfrac»«mo»§#62;«/mo»«mn»2«/mn»«mo»-«/mo»«mi»x«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

Ezadu soluziorik idatzi  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mn>5</mn><mo>(</mo><mi>x</mi><mo>-</mo><mn>3</mn><mo>)</mo><mo>⩽</mo><mfrac><mrow><mn>11</mn><mo>-</mo><mi>x</mi></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mn>2</mn></mfrac><mo>-</mo><mfrac><mrow><mn>3</mn><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced></mrow><mn>4</mn></mfrac><mo>&gt;</mo><mn>2</mn><mo>-</mo><mi>x</mi><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><mn>0</mn><mo>,</mo><mfrac><mn>7</mn><mn>2</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.6-Ariketa4 Ebatzi ondorengo inekuazio sistema  eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mfrac»«mi»x«/mi»«mn»3«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mi»x«/mi»«mn»5«/mn»«/mfrac»«mo»§#60;«/mo»«mn»8«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mi»x«/mi»«mn»2«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»4«/mn»«mi»x«/mi»«/mrow»«mn»9«/mn»«/mfrac»«mo»§#60;«/mo»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mfrac><mi>x</mi><mn>3</mn></mfrac><mo>+</mo><mfrac><mi>x</mi><mn>5</mn></mfrac><mo>&lt;</mo><mn>8</mn><mo>,</mo><mfrac><mi>x</mi><mn>2</mn></mfrac><mo>-</mo><mfrac><mrow><mn>4</mn><mi>x</mi></mrow><mn>9</mn></mfrac><mo>&lt;</mo><mn>5</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.7-Ariketa1 Ebatzi ondorengo inekuazio sistema  eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»§#8804;«/mo»«mi»x«/mi»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»4«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»§#8805;«/mo»«mi»x«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mfrac><mo>-</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mn>2</mn></mfrac><mo>⩽</mo><mi>x</mi><mo>,</mo><mfrac><mrow><mn>4</mn><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mn>4</mn></mfrac><mo>-</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mfrac><mo>⩾</mo><mi>x</mi><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.7-Ariketa2 Ebatzi ondorengo inekuazio sistema  eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mfrac»«mi»x«/mi»«mn»5«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mi»x«/mi»«mn»7«/mn»«/mfrac»«mo»§#60;«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mi»x«/mi»«mn»3«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mi»x«/mi»«mn»5«/mn»«/mfrac»«mo»§#62;«/mo»«mo»-«/mo»«mn»6«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mfrac><mi>x</mi><mn>5</mn></mfrac><mo>-</mo><mfrac><mi>x</mi><mn>7</mn></mfrac><mo>&lt;</mo><mn>2</mn><mo>,</mo><mfrac><mi>x</mi><mn>3</mn></mfrac><mo>-</mo><mfrac><mi>x</mi><mn>5</mn></mfrac><mo>&gt;</mo><mo>-</mo><mn>6</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.7-Ariketa3 Ebatzi ondorengo inekuazio sistema  eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«mo»§#60;«/mo»«mfrac»«mi»x«/mi»«mn»2«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»§#62;«/mo»«mfrac»«mi»x«/mi»«mn»5«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»+«/mo»«mn»1«/mn»«mo»§#60;«/mo»«mi»x«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/math»


Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mn>3</mn><mi>x</mi><mo>+</mo><mn>5</mn><mo>&lt;</mo><mfrac><mi>x</mi><mn>2</mn></mfrac><mo>,</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mn>2</mn></mfrac><mo>+</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mfrac><mo>&gt;</mo><mfrac><mi>x</mi><mn>5</mn></mfrac><mo>,</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mfrac><mo>+</mo><mn>1</mn><mo>&lt;</mo><mi>x</mi><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 3.7-Ariketa4 Ebatzi ondorengo inekuazio sistema  eta emaitza eman:


«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»§#8805;«/mo»«mo»-«/mo»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mi»x«/mi»«mn»6«/mn»«/mfrac»«mo»+«/mo»«mn»2«/mn»«mo»§#60;«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«mo»-«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»8«/mn»«mo»§#60;«/mo»«mn»7«/mn»«mo»+«/mo»«mfrac»«mi»x«/mi»«mn»2«/mn»«/mfrac»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/math»

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mn>2</mn><mi>x</mi><mo>⩾</mo><mo>-</mo><mn>4</mn><mo>,</mo><mfrac><mi>x</mi><mn>6</mn></mfrac><mo>+</mo><mn>2</mn><mo>&lt;</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>-</mo><mi>x</mi><mo>&gt;</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>6</mn><mo>,</mo><mn>8</mn><mo>&lt;</mo><mn>7</mn><mo>+</mo><mfrac><mi>x</mi><mn>2</mn></mfrac><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Problema_1 En las empresas A y B hay un puesto de comercial por cubrir. En la empresa A el sueldo es de 300€ fijos más 75€ por cada venta. En la empresa B por cada venta son 175€ y no tiene cantidad fija ¿A partir de cuantas ventas se cobra más en la empresa B que en la empresa A?

 

A partir de {#1} ventas

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>4</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_2 El triple de un número menos su mitad es siempre mayor que tres ¿Qué números cumplen esta propiedad?

 Utiliza el . para los números decimales

Los números {#1} que {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>6</mn><mn>5</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_3 ¿Es cierto que la suma de un número y la de su cuadrado es siempre positiva? ¿Qué números cumplen esta condición?

 Utiliza el . para los números decimales. Siempre de menor a mayor.

Los números {#1} que {#2} y los números {#3} que {#4}

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_4 Una empresa textil ha fabricado 1500 camisas con un coste de producción de 3 € por unidad. Si vendiendo todas las camisas obtiene un beneficio de más de 6000 €, ¿a qué precio vende cada una?

 Utiliza el . para los números decimales.

A un precio {#1} que {#2} €

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>7</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_5 Un empresario paga a un comercial un sueldo fijo de 1500 € al mes más 1 € por producto vendido. Otro comercial no tiene sueldo fijo, pero cobra 3 €  por cada producto que logra vender. ¿A partir de qué número de productos vendidos cobrará más el segundo empleado?

 

A partir de {#1} productos

]]> 1.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_6 Un padre y su hijo se llevan 27 años. Si entre los dos suman más de 50 años, ¿qué edad puede tener el padre?

 

El padre puede tener  {#1} años o {#2}

]]> 2.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Problema_7 ¿Cuántos metros de tela metálica se necesitan para vallar una parcela cuadrada cuya área sea, al menos, de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mn»36«/mn»«msup»«mi»m«/mi»«mn»2«/mn»«/msup»«/mrow»«/mstyle»«/math»?

 

{#1} metros o {#2}

]]> 2.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> MATE CCSS I/TEMA 3 -Inecuaciones/Problemas Pregunta 7 Normal 0 21 false false false MicrosoftInternetExplorer4

Calcula la edad que como mínimo tiene una persona, sabiendo que si el doble de dicha edad se disminuye en 3 años el resultado es mayor que la edad aumentada en 25 años.

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta 8 Normal 0 21 false false false MicrosoftInternetExplorer4

Un adolescente dice que tiene entre 10 y 20 años. Y que dentro de 30 años tendrá más edad que el triple de la actual. ¿Qué edad tiene?

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta 9 Normal 0 21 false false false MicrosoftInternetExplorer4

Calcula los números cuyo triple excede a su doble en más de 24 unidades.

]]> 1.0000000 0.0000000 0 editor 1 15 0 0 Pregunta7_w Calcula la edad que como mínimo tiene una persona, sabiendo que si al  doble  de dicha edad se disminuye en  #a  años el resultado es mayor que la edad aumentada en  #b  años.

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> #r

]]> #r2

]]> #r1

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r</mi><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>r</mi><mo>+</mo><mn>3</mn></math></input></command></group></library></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta8_nueva Un adolescente dice que tiene entre 10 y 20 años. Y que dentro de 30 años tendrá más edad que el triple de la actual. ¿Qué edad tiene?

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Más de 10 y menos de 15 años

]]> Menos de 15 años

]]> Más de 15 años

]]> Pregunta9_w Calcula los números cuyo triple excede a su doble en más de  #a  unidades.

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Los números mayores que #r

]]> Los números menores que #a

]]> Los números mayores que #r1

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mi>a</mi></math></input></command></group></library></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> MATE CCSS I/TEMA 3 -Inecuaciones/Racionales Pregunta 5
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«mo»§#10877;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/math»

La solución sin espacios en blanco.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplos: 2<x<5
-1<=x<5/3
]]> 1.0000000 1.0000000 0 0 Pregunta 5_w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«mo»§#60;«/mo»«mn»0«/mn»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»D«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»o«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 12,3]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>3</mn></mrow></mfenced></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 6 Resuelve la siguiente inecuación y escribe la respuesta:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#62;«/mo»«mn»3«/mn»«/math»

La solución sin espacios en blanco.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplos: 2<x<5
-1<=x<5/3

]]> 1.0000000 1.0000000 0 0 Pregunta 6_w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#62;«/mo»«mn»3«/mn»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»D«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»o«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (3,14)]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mn>3</mn><mo>,</mo><mn>14</mn><mo>)</mo></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS I/TEMA 3 -Inecuaciones/Sistemas 1 incognita Pregunta 10
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close="}" open=""»«mtable»«mtr»«mtd»«mfrac»«mrow»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«mn»4«/mn»«/mfrac»«mo»+«/mo»«mi»x«/mi»«mo»§#10877;«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mo»-«/mo»«mn»20«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»§#10877;«/mo»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»

La solución sin espacios en blanco.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplos: 2<x<5
-1<=x<5/3
]]> 1.0000000 1.0000000 0 0 Pregunta 10_w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»s«/mi»«mi»t«/mi»«mi»e«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mfrac»«mrow»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«mn»4«/mn»«/mfrac»«mo»+«/mo»«mi»x«/mi»«mo»§#10877;«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mo»-«/mo»«mn»20«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»§#10877;«/mo»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»D«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»o«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«/math»

]]> 1.0000000 0.3333333 0 0 [-1,1] <question><correctAnswers><correctAnswer>[-1,1]</correctAnswer></correctAnswers><assertions><assertion name="syntax_string"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 11
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close="}" open=""»«mtable»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»§lt;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«mo»§#10877;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»

La solución sin espacios en blanco.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplos: 2<x<5
-1<=x<5/3
]]> 1.0000000 1.0000000 0 0 Pregunta 11_w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»s«/mi»«mi»t«/mi»«mi»e«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«mo»§#10877;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»D«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»o«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«/math»

]]> 1.0000000 0.3333333 0 0 (-2,1) <question><correctAnswers><correctAnswer>(-2,1)</correctAnswer></correctAnswers><assertions><assertion name="syntax_string"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta 12
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close="}" open=""»«mtable»«mtr»«mtd»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«/mrow»«mn»2«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»8«/mn»«/mfrac»«mo»§gt;«/mo»«mi»x«/mi»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»§lt;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»

La solución sin espacios en blanco.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion.
El signo unicamente si es negativo.
Ejemplos: 2<x<5
-1<=x<5/3
]]> 1.0000000 1.0000000 0 0 Pregunta 12_w «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mi»e«/mi»«mi»s«/mi»«mi»u«/mi»«mi»e«/mi»«mi»l«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»l«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»u«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»s«/mi»«mi»t«/mi»«mi»e«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«/mrow»«mn»2«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»8«/mn»«/mfrac»«mo»§#62;«/mo»«mi»x«/mi»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»D«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»l«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»u«/mi»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mi»m«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»o«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«/math»

]]> 1.0000000 0.3333333 0 0 -53,52]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mfrac><mrow><mo>-</mo><mn>5</mn></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mn>5</mn><mn>2</mn></mfrac></mrow></mfenced></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS I/TEMA 3 -Inecuaciones/Sistemas 2 incognitas Pregunta 15
ine3
]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨}¨ open=¨¨»«mtable»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»§#10877;«/mo»«mn»24«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»y«/mi»«mo»§#10877;«/mo»«mi»x«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»y«/mi»«mo»§#10878;«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨}¨ open=¨¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»§#10878;«/mo»«mi»y«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#10877;«/mo»«mn»2«/mn»«mi»y«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#10877;«/mo»«mn»20«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨}¨ open=¨¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»§#10878;«/mo»«mi»y«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»§#10877;«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#10877;«/mo»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» Pregunta 16
ine4
]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨}¨ open=¨¨»«mtable»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»§#10877;«/mo»«mn»24«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»y«/mi»«mo»§#10877;«/mo»«mi»x«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»y«/mi»«mo»§#10878;«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨}¨ open=¨¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»§#10878;«/mo»«mi»y«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#10877;«/mo»«mn»2«/mn»«mi»y«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#10877;«/mo»«mn»20«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨}¨ open=¨¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»§#10878;«/mo»«mi»y«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»§#10877;«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#10877;«/mo»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» Pregunta 17
ine5
]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»4«/mn»«mo»,«/mo»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfenced»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mfenced»«mrow»«mn»4«/mn»«mo»,«/mo»«mn»7«/mn»«/mrow»«/mfenced»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mfenced»«mrow»«mfrac»«mrow»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»,«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»4«/mn»«mo»,«/mo»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mfenced»«mrow»«mn»5«/mn»«mo»,«/mo»«mn»7«/mn»«/mrow»«/mfenced»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mfenced»«mrow»«mo»-«/mo»«mn»1«/mn»«mo»,«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»4«/mn»«mo»,«/mo»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»§nbsp;«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mfenced»«mrow»«mn»4«/mn»«mo»,«/mo»«mn»8«/mn»«/mrow»«/mfenced»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mfenced»«mrow»«mo»-«/mo»«mn»1«/mn»«mo»,«/mo»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«/math» MATE CCSS I/TEMA 4 -Funciones/Galdetegiak egiteko Ariketa 5-5-1 Indica los extremos relativos de las siguientes funciones:


A)  #f1
 B)  #f2
 C)  #f3
D)  #f4
 E)  #f5




Escribe Ez  si no procede.

A)
    Máximo x= {#1}    Mínimo x= {#2}

B)
    Máximo x= {#3}    Mínimo x= {#4}

C)
    Máximo x= {#5}    Mínimo x= {#6}

D)
    Máximo x= {#7}    Mínimo x= {#8}

E)
    Máximo x= {#9}    Mínimo x= {#10}

]]> 10.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s5</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s6</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mi>y</mi><mo>=</mo><mi>x</mi><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M2</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m2</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M3</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m3</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M4</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m4</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M5</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m5</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f21</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s6</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_string"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option><option name="float_format">,mg</option><option name="digit_group_separator">.</option></options><localData><data name="casSession"/></localData></question> Ariketa 5-5-2 Indica los extremos absolutos de las siguientes funciones:


A)  #f1
 B)  #f2
 C)  #f3
D)  #f4
 E)  #f5




Escribe Ez  si no procede.

A)
    Máximo x= {#1}    Mínimo x= {#2}

B)
    Máximo x= {#3}    Mínimo x= {#4}

C)
    Máximo x= {#5}    Mínimo x= {#6}

D)
    Máximo x= {#7}    Mínimo x= {#8}

E)
    Máximo x= {#9}    Mínimo x= {#10}

]]> 10.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s5</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s6</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mi>y</mi><mo>=</mo><mi>x</mi><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M2</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m2</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M3</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m3</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M4</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m4</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M5</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m5</mi><mo>=</mo><mi>Ez</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_string"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option><option name="float_format">,mg</option><option name="digit_group_separator">.</option></options><localData><data name="casSession"/></localData></question> Ariketa 5-7 Indica los puntos de inflexión de las siguientes funciones:


A)  #f1
 B)  #f2
 C)  #f3
D)  #f4
 E)  #f5


Escribe Ez  si no procede.

A)
   Puntos de Inflexión  x= {#1}

B)
   Puntos de Inflexión  x= {#2}

C)
   Puntos de Inflexión  x= {#3}

D)
   Puntos de Inflexión  x= {#4}

E)
   Puntos de Inflexión  x= {#5}

]]> 5.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s5</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s6</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mi>y</mi><mo>=</mo><mi>x</mi><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M2</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M3</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M4</mi><mo>=</mo><mi>Ez</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M5</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_string"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option><option name="float_format">,mg</option><option name="digit_group_separator">.</option></options><localData><data name="casSession"/></localData></question> Ariketa_1 Indica cuáles de estas gráficas representan una función:

a) #f1 b)  #f2
c)  #f3 d)  #f4
]]> 1.0000000 0.3333333 0 false true none Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> a

]]> c

]]> d

]]> b

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>4.148148</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>4.148148</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>14</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>14</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup><mo>=</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mfrac><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac><mo>,</mo><mn>1</mn><mo>.</mo><mo>.</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>y</mi><mo>=</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><msup><mi>x</mi><mn>2</mn></msup><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_11_1 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mrow»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mfrac»«mn»5«/mn»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»6«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mroot»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«/mrow»«mn»5«/mn»«/mroot»«/mrow»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mfrac><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">6</mn></mrow></mfrac><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mroot><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></mrow><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></mroot><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><msqrt><mn>6</mn></msqrt></mrow></mfenced><mo>∪</mo><mfenced><mrow><mo>-</mo><msqrt><mn>6</mn></msqrt><mo>,</mo><msqrt><mn>6</mn></msqrt></mrow></mfenced><mo>∪</mo><mfenced><mrow><msqrt><mn>6</mn></msqrt><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_11_2 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mrow»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«msqrt»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«/mrow»«/mfrac»«/msqrt»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«msqrt»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/msqrt»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8805;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><msqrt><mfrac><mrow><mi>x</mi><mo>-</mo><mn>5</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfrac></msqrt><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><reals/><mo>-</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>}</mo><mo>-</mo><mi>interval_close_open</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>5</mn></mrow></mfenced><mo>∪</mo><mfenced open="["><mrow><mn>5</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>1</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mo>-</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></mfenced><mo>∪</mo><mfenced open="["><mrow><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_12_1 Calcula las funciones suma y multiplicación en los siguientes casos:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mrow»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«/mrow»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 (f+g)(x)=#r1(f·g)(x)=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><mo>=</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>:</mo><mo>=</mo><mi>x</mi><mo>+</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>f</mi><mo>+</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>f</mi><mo>*</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>7</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>18</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f</mi><mo>+</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mo>(</mo><mi>f</mi><mo>&#x000B7;</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_12_2 Calcula las funciones suma y multiplicación en los siguientes casos:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mrow»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mi»x«/mi»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«/mrow»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 (f+g)(x)=#r1(f·g)(x)=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>:</mo><mo>=</mo><mfrac><mi>x</mi><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>f</mi><mo>+</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>f</mi><mo>*</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>+</mo><mn>8</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi></mrow><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f</mi><mo>+</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mo>(</mo><mi>f</mi><mo>&#x000B7;</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_12_3 Calcula las funciones suma y multiplicación en los siguientes casos:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mrow»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mrow»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 (f+g)(x)=#r1(f·g)(x)=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><mo>=</mo><mfrac><mrow><mn>3</mn><mo>*</mo><mi>x</mi></mrow><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>:</mo><mo>=</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>f</mi><mo>+</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>f</mi><mo>*</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mo>*</mo><mi>x</mi></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f</mi><mo>+</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mo>(</mo><mi>f</mi><mo>&#x000B7;</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_13_1 Calcula las funciones resta y división en los siguientes casos:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mi»x«/mi»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»6«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfrac»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 (f-g)(x)=#r1(f/g)(x)=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><mo>=</mo><mfrac><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">4</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>:</mo><mo>=</mo><mfrac><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">6</mn><mrow><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>f</mi><mo>-</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>f</mi><mo>/</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mrow><mn>6</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>12</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f</mi><mo>-</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mo>(</mo><mi>f</mi><mo>/</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_13_2 Calcula las funciones resta y división en los siguientes casos:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 (f-g)(x)=#r1(f/g)(x)=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><mo>=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>:</mo><mo>=</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>f</mi><mo>-</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>f</mi><mo>/</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f</mi><mo>-</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mo>(</mo><mi>f</mi><mo>/</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_13_3 Calcula las funciones resta y división en los siguientes casos:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»9«/mn»«/msqrt»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 (f-g)(x)=#r1(f/g)(x)=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><mo>=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>:</mo><mo>=</mo><msqrt><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo>-</mo><mn>9</mn></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>f</mi><mo>-</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>f</mi><mo>/</mo><mi>g</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>9</mn></mrow></msqrt><mo>+</mo><mfenced><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>9</mn></mrow></msqrt></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f</mi><mo>-</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mo>(</mo><mi>f</mi><mo>/</mo><mi>g</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_14_1 Dadas las funciones  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»h«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«mi»x«/mi»«/msqrt»«/mstyle»«/math» . Calcula las siguientes funciones compuestas:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mrow»«mfenced»«mrow»«mi»g«/mi»«mo»§#8728;«/mo»«mi»f«/mi»«/mrow»«/mfenced»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mfenced»«mrow»«mi»f«/mi»«mo»§#8728;«/mo»«mi»g«/mi»«/mrow»«/mfenced»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mfenced»«mrow»«mi»h«/mi»«mo»§#8728;«/mo»«mi»g«/mi»«mo»§#8728;«/mo»«mi»f«/mi»«/mrow»«/mfenced»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/mrow»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 a)=#r1b)=#r2c)=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mrow><mrow><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><msqrt><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>:</mo><mo>=</mo><mi>g</mi><mo>(</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>:</mo><mo>=</mo><mi>f</mi><mo>(</mo><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>:</mo><mo>=</mo><mi>h</mi><mo>(</mo><mi>g</mi><mo>(</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>8</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>28</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>46</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>9</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>8</mn></mrow></mfrac></msqrt></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_14_2 Dadas las funciones  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»h«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«mi»x«/mi»«/msqrt»«/mrow»«/mstyle»«/math» . Calcula las siguientes funciones compuestas:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mrow»«mfenced»«mrow»«mi»h«/mi»«mo»§#8728;«/mo»«mi»g«/mi»«/mrow»«/mfenced»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mfenced»«mrow»«mi»f«/mi»«mo»§#8728;«/mo»«mi»h«/mi»«/mrow»«/mfenced»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mfenced»«mrow»«mi»g«/mi»«mo»§#8728;«/mo»«mi»h«/mi»«mo»§#8728;«/mo»«mi»f«/mi»«/mrow»«/mfenced»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/mrow»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 a)=#r1b)=#r2c)=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mrow><mrow><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><msqrt><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>:</mo><mo>=</mo><mi>h</mi><mo>(</mo><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>:</mo><mo>=</mo><mi>f</mi><mo>(</mo><mi>h</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>:</mo><mo>=</mo><mi>g</mi><mo>(</mo><mi>h</mi><mo>(</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mfrac><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfrac></msqrt></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>+</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>5</mn></mrow></msqrt><mo>-</mo><mn>1</mn></mrow><mrow><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>5</mn></mrow></msqrt><mo>+</mo><mn>3</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_16 Halla la recta de interpolación lineal correspondiente a los datos (10,45) y (20,57).  Determina con ella el valor correspondiente a estos valores:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»x«/mi»«mo»=«/mo»«mn»13«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mn»16«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mn»22«/mn»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 Recta-de-interpolación-lineal-y=#r1y13=#r2y(16)=#r3y(22)=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x0</mi><mo>=</mo><mn>10</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mn>20</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y0</mi><mo>=</mo><mn>45</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><mn>57</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>13</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>a</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>16</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>a</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>22</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>a</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>6</mn><mn>5</mn></mfrac><mo>*</mo><mi>x</mi><mo>+</mo><mn>33</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>243</mn><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>261</mn><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>297</mn><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>p</mi><mi>o</mi><mi>l</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi>l</mi><mo>-</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mfenced><mn>13</mn></mfenced><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>y</mi><mo>(</mo><mn>16</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi>y</mi><mo>(</mo><mn>22</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_17 En el gráfico de un puerto de montaña, que tiene una pendiente aproximadamente constante, aparece que en el kilómetro 5 la altura sobre el nivel del mar es de 1200 m, y en el kilómetro 13, de 2100 m. Calcula por interpolación lineal la altura en el kilómetro 10.

]]> 1.0000000 0.3333333 0 0 Recta-de-interpolación-lineal-y=#r1Altura-en-el-km10=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x0</mi><mo>=</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mn>13</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y0</mi><mo>=</mo><mn>1200</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><mn>2100</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>10</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>a</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>225</mn><mn>2</mn></mfrac><mo>*</mo><mi>x</mi><mo>+</mo><mfrac><mn>1275</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3525</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>p</mi><mi>o</mi><mi>l</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi>l</mi><mo>-</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>A</mi><mi>l</mi><mi>t</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>n</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>l</mi><mo>-</mo><mi>k</mi><mi>m</mi><mn>10</mn><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_18 En la siguiente tabla se recogen las presiones de vapor de agua en función de la temperatura:

x: temperatura (Cº)

8

25

y: presión (mm Hg)

9,3

32,2

a)   Calcula por interpolación lineal la presión del vapor de agua a la temperatura  de 20 ºC

b)   Calcula por extrapolación lineal la presión del vapor de agua a la temperatura de 5 ºC

]]> 1.0000000 0.3333333 0 0 Recta-de-interpolación-lineal-y=#r1Presión-del-vapor-de-agua-a-la-temperatura- de-20ºC=#r2Presión-del-vapor-de-agua-a-la-temperatura- de-5ºC=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x0</mi><mo>=</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mn>25</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y0</mi><mo>=</mo><mn>9</mn><mo>.</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><mn>32</mn><mo>.</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>20</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>a</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>a</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.3471</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1.4765</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25.465</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.2588</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>p</mi><mi>o</mi><mi>l</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi>l</mi><mo>-</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>P</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>l</mi><mo>-</mo><mi>v</mi><mi>a</mi><mi>p</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>a</mi><mi>g</mi><mi>u</mi><mi>a</mi><mo>-</mo><mi>a</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi>t</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo>-</mo><mo>&#x000A0;</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mn>20</mn><mo>&#x000BA;</mo><mi>C</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>P</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>l</mi><mo>-</mo><mi>v</mi><mi>a</mi><mi>p</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>a</mi><mi>g</mi><mi>u</mi><mi>a</mi><mo>-</mo><mi>a</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi>t</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo>-</mo><mo>&#x000A0;</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mn>5</mn><mo>&#x000BA;</mo><mi>C</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_19  

El Impuesto sobre la Renta de las Personas Físicas se calcula en función de los ingresos, base imponible, de la unidad familiar. La tabla muestra las cuotas que se deben abonar en función de la base imponible:

 

Base imponible (x)

0

3600

8000

16500

29000

Cuota  (y)

0

468

1436

3561

7061

 

  •  Calcula, utilizando interpolación lineal, la cuota para una base imponible de 2500€.
  • Halla, por extrapolación lineal, la cuota para una base imponible de 35000€.
]]> 1.0000000 0.3333333 0 0 Recta-de-interpolación-lineal-y=#r1Cuota-para-una-base-imponible-de-2500€=#r2Recta-de-interpolación-lineal-y=#r4Cuota-para-una-base-imponible-de-35000€=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x0</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mn>3600</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y0</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><mn>468</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>2500</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>a</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mn>16500</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x3</mi><mo>=</mo><mn>29000</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y2</mi><mo>=</mo><mn>3561</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y3</mi><mo>=</mo><mn>7061</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>35000</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mi>y2</mi><mo>+</mo><mfrac><mrow><mi>y3</mi><mo>-</mo><mi>y2</mi></mrow><mrow><mi>x3</mi><mo>-</mo><mi>x2</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>x2</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mi>y2</mi><mo>+</mo><mfrac><mrow><mi>y3</mi><mo>-</mo><mi>y2</mi></mrow><mrow><mi>x3</mi><mo>-</mo><mi>x2</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>b</mi><mo>-</mo><mi>x2</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>13</mn><mn>100</mn></mfrac><mo>*</mo><mi>x</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>325</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>7</mn><mn>25</mn></mfrac><mo>*</mo><mi>x</mi><mo>-</mo><mn>1059</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8741</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>p</mi><mi>o</mi><mi>l</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi>l</mi><mo>-</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>C</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi>p</mi><mi>a</mi><mi>r</mi><mi>a</mi><mo>-</mo><mi>u</mi><mi>n</mi><mi>a</mi><mo>-</mo><mi>b</mi><mi>a</mi><mi>s</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>m</mi><mi>p</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>b</mi><mi>l</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mn>2500</mn><mo>&#x020AC;</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>p</mi><mi>o</mi><mi>l</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi>l</mi><mo>-</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn><mspace linebreak="newline"/><mi>C</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi>p</mi><mi>a</mi><mi>r</mi><mi>a</mi><mo>-</mo><mi>u</mi><mi>n</mi><mi>a</mi><mo>-</mo><mi>b</mi><mi>a</mi><mi>s</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>m</mi><mi>p</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>b</mi><mi>l</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mn>35000</mn><mo>&#x020AC;</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2_1 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«/mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfrac»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2c)Dominio=#d3]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">,</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mfrac><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup></mfrac><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mfrac><mrow><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mrow><mrow><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mrow></mfrac><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>0</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mo>-</mo><mn>2</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2_2 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/msqrt»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«/msqrt»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mroot»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«/mrow»«mn»3«/mn»«/mroot»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2c)Dominio=#d3]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></msqrt><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><msqrt><mfrac><mrow><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mrow><mrow><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mrow></mfrac></msqrt><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mroot><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mrow><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mroot><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>1</mn></mrow></mfenced><mo>∪</mo><mfenced open="["><mrow><mn>1</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>3</mn></mrow></mfenced><mo>∪</mo><mfenced open="["><mrow><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2_3 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»5«/mn»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»9«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/msqrt»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2c)Dominio=#d3]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mfrac><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mfrac><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">9</mn></mrow></mfrac><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><msqrt><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo>+</mo><mn>1</mn></mrow></msqrt><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>3</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2_4 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«msqrt»«mi»x«/mi»«/msqrt»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mroot»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«/mrow»«mn»5«/mn»«/mroot»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mi»log«/mi»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2c)Dominio=#d3]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mfrac style="font-family:SansSerif;font-size:14px;font-weight:bold"><msqrt><mi>x</mi></msqrt><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mroot><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></mrow><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></mroot><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">log</mi><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mrow></mfenced><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="["><mrow><mn>0</mn><mo>,</mo><mn>3</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2_5 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mroot»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mn»4«/mn»«/mroot»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mroot»«mfrac»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«mn»3«/mn»«/mroot»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mroot style="font-family:SansSerif;font-size:14px;font-weight:bold"><mfrac><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac><mn>4</mn></mroot><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>domain_set</mi><mfenced><mrow><mroot><mfrac><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mrow><msup><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">4</mn></mrow></mfrac><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mroot><mo>,</mo><mi>x</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="["><mrow><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>0</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>0</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>2</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2_6 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨ columnlines=¨solid none¨»«mtr»«mtd»«mo»-«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8805;«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mi»x«/mi»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>x</mi><mo>≠</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>0</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>x</mi><mo>≠</mo><mo>-</mo><mn>3</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>3</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mo>-</mo><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_20 El valor, en miles de euros, de las existencias de una empresa en función del tiempo t, en años, viene dado por la función:

                                        «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»t«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»F«/mi»«mi»u«/mi»«mi»n«/mi»«mi»c«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»1«/mn»«mo»§#8804;«/mo»«mi»t«/mi»«mo»§#8804;«/mo»«mn»8«/mn»«/math»

  • ¿Cuál será el valor de las existencias para «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»t«/mi»«mo»=«/mo»«mn»2«/mn»«/mrow»«/mstyle»«/math»?  {#1}  ¿Y para «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»t«/mi»«mo»=«/mo»«mn»4«/mn»«/mrow»«/mstyle»«/math»?   {#2}
  • ¿Cuál es el valor máximo de las existencias?  {#3}  ¿En qué instante se alcanza?    {#4}
  • ¿En qué instante el valor de las existencias es de 185000 €?   {#5}
]]> 5.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Func</mi><mo>=</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>+</mo><mn>60</mn><mo>*</mo><mi>t</mi><mo>-</mo><mn>15</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>=</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>+</mo><mn>60</mn><mo>*</mo><mi>t</mi><mo>-</mo><mn>15</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>f</mi><mo>(</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>f</mi><mo>(</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>f</mi><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>f</mi><mo>&apos;</mo><mo>(</mo><mi>t</mi><mo>)</mo><mo>=</mo><mn>0</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>1000</mn><mo>*</mo><mi>f</mi><mo>(</mo><msub><mi>sol</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><msub><mi>sol</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>f</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>=</mo><mn>185</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r5</mi><mo>=</mo><msub><mi>sol1</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>89</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>161</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>↦</mo><mo>-</mo><mn>8</mn><mo>*</mo><mi>t</mi><mo>+</mo><mn>60</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>210000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>15</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_21 Una granja de caracoles ha ajustado sus gastos de producción por x kilogramos de caracoles según la función: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»G«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»2000«/mn»«mo»+«/mo»«mfrac»«mn»1«/mn»«mn»200000«/mn»«/mfrac»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«/mrow»«/mstyle»«/math»

Sus ingresos se rigen por la formula: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»I«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»8000«/mn»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»1000«/mn»«/mfrac»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mfrac»«mn»1«/mn»«mn»200000«/mn»«/mfrac»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«/mstyle»«/math»

Averigua cual es el numero de kilogramos de caracoles con el que se obtiene el beneficio máximo.

Redondea la respuesta.

]]> 1.0000000 0.3333333 0 0 Función-Beneficio-B(x)=#r1Kilogramos-de-caracoles=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>1000</mn></mfrac><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6000</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mn>2</mn></mrow><mrow><mn>2</mn><mo>*</mo><mfenced><mrow><mo>-</mo><mfrac><mn>1</mn><mn>1000</mn></mfrac></mrow></mfenced></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>1</mn><mn>1000</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1000</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>F</mi><mi>u</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>B</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi>f</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>-</mo><mi>B</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>K</mi><mi mathvariant="normal">i</mi><mi>log</mi><mi>r</mi><mi>a</mi><mi>m</mi><mi>o</mi><mi>s</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>c</mi><mi>a</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi>o</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_22 Una ONG ha estimado que el número de personas ingresadas en los hospitales tras un tsunami sigue aproximadamente la formula: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»P«/mi»«mo»=«/mo»«mn»1«/mn»«mo»+«/mo»«mfrac»«mn»110«/mn»«mrow»«msup»«mi»t«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»10«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»e«/mi»«mi»n«/mi»«mi»d«/mi»«mi»o«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»§#60;«/mo»«mi»t«/mi»«mo»§#60;«/mo»«mn»30«/mn»«/mrow»«/mstyle»«/math»  donde P es el número de personas hospitalizadas, en miles, y   t  es el número de días transcurridos desde el tsunami.

    1. ¿Cuántas personas habrá hospitalizadas el primer día?
    2. ¿Y cuantas habrá al cabo de tres semanas?
    3. Si la capacidad hospitalaria de una isla del área afectada es de 2000 camas, ¿hasta que día estuvo desbordada la capacidad?

Redondea las respuestas.

]]> 1.0000000 0.3333333 0 0 a)=#r1b)=#r2c)=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>+</mo><mfrac><mn>110</mn><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>10</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>:</mo><mo>=</mo><mn>1000</mn><mo>*</mo><mi>P</mi><mo>(</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>:</mo><mo>=</mo><mi>redondear</mi><mo>(</mo><mn>1000</mn><mo>*</mo><mi>P</mi><mo>(</mo><mn>21</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>:</mo><mo>=</mo><mo>+</mo><msqrt><mn>100</mn></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>11000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1244</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_23 En una oficina se está elaborando un estudio sobre siniestrabilidad laboral y se tiene que:

Nº de trabajadores  (x)

50

500

1000

Nº de siniestros   (y)

4

20

35
  1. Calcula, de modo aproximado y utilizando la interpolación, el número de siniestros esperables en una empresa de 30 trabajadores.
  2. ¿Cuántos siniestros cabe esperar en una empresa de 900 trabajadores?
  3. Una empresa tuvo el año pasado 24 siniestros. Estima el número de sus empleados.
  4. Una empresa con 84 empleados tuvo 6 siniestros durante el año pasado.¿Cuál era el número esperado?

Redondea las respuestas

]]> 1.0000000 0.3333333 0 0 Recta-de-interpolación-lineal-y=#r11)=#r2Recta-de-interpolación-lineal-y=#r42)=#r3Recta-de-interpolación-lineal-y=#r43)=#r24Recta-de-interpolación-lineal-y=#r14)=#r84]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x0</mi><mo>=</mo><mn>50</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mn>500</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y0</mi><mo>=</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><mn>20</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>x0</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>30</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>redondear</mi><mo>(</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>a</mi><mo>-</mo><mi>x0</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mn>500</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x3</mi><mo>=</mo><mn>1000</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y2</mi><mo>=</mo><mn>20</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y3</mi><mo>=</mo><mn>35</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>900</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mi>y2</mi><mo>+</mo><mfrac><mrow><mi>y3</mi><mo>-</mo><mi>y2</mi></mrow><mrow><mi>x3</mi><mo>-</mo><mi>x2</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>x2</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mi>redondear</mi><mo>(</mo><mi>y2</mi><mo>+</mo><mfrac><mrow><mi>y3</mi><mo>-</mo><mi>y2</mi></mrow><mrow><mi>x3</mi><mo>-</mo><mi>x2</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>b</mi><mo>-</mo><mi>x2</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mn>24</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r24</mi><mo>=</mo><mi>redondear</mi><mfenced><mfrac><mrow><mi>c</mi><mo>-</mo><mi>y2</mi><mo>+</mo><mfrac><mrow><mi>y3</mi><mo>-</mo><mi>y2</mi></mrow><mrow><mi>x3</mi><mo>-</mo><mi>x2</mi></mrow></mfrac><mo>*</mo><mi>x2</mi></mrow><mfrac><mrow><mi>y3</mi><mo>-</mo><mi>y2</mi></mrow><mrow><mi>x3</mi><mo>-</mo><mi>x2</mi></mrow></mfrac></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mn>84</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r84</mi><mo>=</mo><mi>redondear</mi><mo>(</mo><mi>y0</mi><mo>+</mo><mfrac><mrow><mi>y1</mi><mo>-</mo><mi>y0</mi></mrow><mrow><mi>x1</mi><mo>-</mo><mi>x0</mi></mrow></mfrac><mo>*</mo><mfenced><mrow><mi>d</mi><mo>-</mo><mi>x0</mi></mrow></mfenced><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>8</mn><mn>225</mn></mfrac><mo>*</mo><mi>x</mi><mo>+</mo><mfrac><mn>20</mn><mn>9</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>100</mn></mfrac><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r24</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>633</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r84</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>p</mi><mi>o</mi><mi>l</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi>l</mi><mo>-</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mn>1</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>p</mi><mi>o</mi><mi>l</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi>l</mi><mo>-</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn><mspace linebreak="newline"/><mn>2</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>p</mi><mi>o</mi><mi>l</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi>l</mi><mo>-</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn><mspace linebreak="newline"/><mn>3</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>24</mn><mspace linebreak="newline"/><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>p</mi><mi>o</mi><mi>l</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi>l</mi><mo>-</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mn>4</mn><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>84</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_24 El beneficio obtenido por la producción y venta de x kilogramos de un articulo viene dado por la función:

                                        «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»B«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»F«/mi»«mi»u«/mi»«mi»n«/mi»«mi»c«/mi»«/math»

  • Determina el número de kilogramos que hay que producir y vender para que el beneficio sea máximo   {#1}
  • Determina cuántos kilogramos se deben producir y vender, como máximo, para que la empresa no tenga pérdidas.   {#2}
]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Func</mi><mo>=</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>01</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>01</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>f</mi><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>f</mi><mo>&apos;</mo><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>0</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msub><mi>sol</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>0</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msub><mi>sol1</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>180.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>300.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>↦</mo><mo>-</mo><mn>0.02</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>3.6</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_3 Calcula el dominio y el recorrido de las siguientes funciones:

A) #f1

B) #f2

C) #f3

D) #f4
]]> 1.0000000 0.3333333 0 0 A)Dominio=#d1Recorrido=#r1B)Dominio=#d2Recorrido=#r2C)Dominio=#d3Recorrido=#r3D)Dominio=#d4Recorrido=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mi>x</mi><mn>2</mn></mfrac><mo>,</mo><mn>0</mn><mo>.</mo><mo>.</mo><mn>6</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>3</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mfrac><mrow><mo>-</mo><mn>2</mn></mrow><mi>x</mi></mfrac></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><mfrac><mrow><mo>-</mo><mn>2</mn></mrow><mi>x</mi></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>d1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>interval_close_close</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>interval_close_close</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><mi>interval_close_close</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mi>interval_close_close</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>B</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>C</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn><mspace linebreak="newline"/><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi>D</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>4</mn><mspace linebreak="newline"/><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_4 Indica los intervalos de crecimiento y decrecimiento de las siguientes funciones:

A) #f1

B) #f2

C) #f3

D) #f4

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  si no procede.

]]> 1.0000000 0.3333333 0 0 A)Creciente=#c1Decreciente=#d1B)Creciente=#c2Decreciente=#d2C)Creciente=#c3Decreciente=#d3D)Creciente=#c4Decreciente=#d4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mi>x</mi><mn>2</mn></mfrac><mo>,</mo><mn>0</mn><mo>.</mo><mo>.</mo><mn>6</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>3</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mfrac><mrow><mo>-</mo><mn>2</mn></mrow><mi>x</mi></mfrac></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mn>0</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c4</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>)</mo><mi>C</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>1</mn><mspace linebreak="newline"/><mi>D</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>B</mi><mo>)</mo><mi>C</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>2</mn><mspace linebreak="newline"/><mi>D</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>C</mi><mo>)</mo><mi>C</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>3</mn><mspace linebreak="newline"/><mi>D</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn><mspace linebreak="newline"/><mi>D</mi><mo>)</mo><mi>C</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>4</mn><mspace linebreak="newline"/><mi>D</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_1 Indica el dominio de las siguientes funciones:

A) #f1

B) #f2

C) #f3

D) #f4

E) #f5

  

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  si no procede.

]]> 1.0000000 0.3333333 0 0 A)Dominio=#d1B)Dominio=#d2C)Dominio=#d3D)Dominio=#d4E)Dominio=#d5]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s5</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mi>y</mi><mo>=</mo><mi>x</mi><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>interval_open_close</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo><mo>∪</mo><mi>interval_close_open</mi><mo>(</mo><mn>2</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><reals/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><reals/><mo>-</mo><mo>{</mo><mn>0</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><reals/><mo>-</mo><mo>{</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d5</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mn>0</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>B</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>C</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn><mspace linebreak="newline"/><mi>D</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>4</mn><mspace linebreak="newline"/><mi>E</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>5</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_2 Indica el recorrido de las siguientes funciones:

A) #f1

B) #f2

C) #f3

D) #f4

E) #f5

  

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»   si no procede.

]]> 1.0000000 0.3333333 0 0 A)Recorrido=#d1B)Recorrido=#d2C)Recorrido=#d3D)Recorrido=#d4E)Recorrido=#d5]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s5</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mi>y</mi><mo>=</mo><mi>x</mi><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><reals/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>interval_close_close</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><reals/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><reals/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d5</mi><mo>=</mo><reals/></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>)</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>B</mi><mo>)</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>C</mi><mo>)</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn><mspace linebreak="newline"/><mi>D</mi><mo>)</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>4</mn><mspace linebreak="newline"/><mi>E</mi><mo>)</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>5</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_3 Indica la simetría de las siguientes funciones:

 

Respuesta:

A) {:MCH:=IMPAR~PAR~NO TIENE SIMETRIA}

B) {:MCH:=IMPAR~PAR~NO TIENE SIMETRIA}

C) {:MCH:=IMPAR~PAR~NO TIENE SIMETRIA}

D) {:MCH:IMPAR~=PAR~NO TIENE SIMETRIA}

E) {:MCH:IMPAR~PAR~=NO TIENE SIMETRIA}

]]> 0.3333333 0 Ariketa_5_4 Indica la monotonia de las siguientes funciones:

A) #f1

B) #f2

C) #f3

D) #f4

E) #f5

  

Escribe   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  si no procede.

]]> 1.0000000 0.3333333 0 0 A)Creciente=#c1Decreciente=#d1B)Creciente=#c2Decreciente=#d2C)Creciente=#c3Decreciente=#d3D)Creciente=#c4Decreciente=#d4E)Creciente=#c5Decreciente=#d5]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>center</mi><mo>=</mo><mi>point</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>width</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>height</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>window_width</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>window_height</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>show_grid</mi><mo>=</mo><mi>false</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>plot</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>point</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>white</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>plot</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>plot</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>plot</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>plot</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>green</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>plot</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>green</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>plot</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>plot</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>point</mi><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>plot</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>point</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>white</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>2</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>2</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>1</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c4</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>2</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c5</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d5</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mn>0</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>1</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>)</mo><mi>C</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>1</mn><mspace linebreak="newline"/><mi>D</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>B</mi><mo>)</mo><mi>C</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>2</mn><mspace linebreak="newline"/><mi>D</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>C</mi><mo>)</mo><mi>C</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>3</mn><mspace linebreak="newline"/><mi>D</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn><mspace linebreak="newline"/><mi>D</mi><mo>)</mo><mi>C</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>4</mn><mspace linebreak="newline"/><mi>D</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>4</mn><mspace linebreak="newline"/><mi>E</mi><mo>)</mo><mi>C</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>5</mn><mspace linebreak="newline"/><mi>D</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>5</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_6 Indica la curvatura de las siguientes funciones:

A) #f1

B) #f2

C) #f3

D) #f4

E) #f5

  

Escribe  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  si no procede.

]]> 1.0000000 0.3333333 0 0 A)Cóncava=#cv1Convexa=#cx1B)Cóncava=#cv2Convexa=#cx2C)Cóncava=#cv3Convexa=#cx3D)Cóncava=#cv4Convexa=#cx4E)Cóncava=#cv5Convexa=#cx5]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv1</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mn>2</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cx1</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv2</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mn>2</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cx2</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv3</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cx3</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv4</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>2</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cx4</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cx5</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv5</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mn>0</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>)</mo><mi>C</mi><mi>&#x000F3;</mi><mi>n</mi><mi>c</mi><mi>a</mi><mi>v</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi><mi>v</mi><mn>1</mn><mspace linebreak="newline"/><mi>C</mi><mi>o</mi><mi>n</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>x</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>B</mi><mo>)</mo><mi>C</mi><mi>&#x000F3;</mi><mi>n</mi><mi>c</mi><mi>a</mi><mi>v</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi><mi>v</mi><mn>2</mn><mspace linebreak="newline"/><mi>C</mi><mi>o</mi><mi>n</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>x</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi><mi>x</mi><mn>2</mn><mspace linebreak="newline"/><mi>C</mi><mo>)</mo><mi>C</mi><mi>&#x000F3;</mi><mi>n</mi><mi>c</mi><mi>a</mi><mi>v</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi><mi>v</mi><mn>3</mn><mspace linebreak="newline"/><mi>C</mi><mi>o</mi><mi>n</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>x</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi><mi>x</mi><mn>3</mn><mspace linebreak="newline"/><mi>D</mi><mo>)</mo><mi>C</mi><mi>&#x000F3;</mi><mi>n</mi><mi>c</mi><mi>a</mi><mi>v</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi><mi>v</mi><mn>4</mn><mspace linebreak="newline"/><mi>C</mi><mi>o</mi><mi>n</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>x</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi><mi>x</mi><mn>4</mn><mspace linebreak="newline"/><mi>E</mi><mo>)</mo><mi>C</mi><mi>&#x000F3;</mi><mi>n</mi><mi>c</mi><mi>a</mi><mi>v</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi><mi>v</mi><mn>5</mn><mspace linebreak="newline"/><mi>C</mi><mi>o</mi><mi>n</mi><mi>v</mi><mi mathvariant="normal">e</mi><mi>x</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi><mi>x</mi><mn>5</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_8 Indica la continuidad de las siguientes funciones:

A) #f1

B) #f2

C) #f3

D) #f4

E) #f5

  
]]> 1.0000000 0.3333333 0 0 A)Continua-en=#c1B)Continua-en=#c2C)Continua-en=#c3D)Continua-en=#c4E)Continua-en=#c5]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>21</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s5</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mfenced close="}" open="{"><mrow><mi>centro</mi><mo>=</mo><mi>punto</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>,</mo><mi>anchura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>altura</mi><mo>=</mo><mn>6.2222223</mn><mo>,</mo><mi>anchura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>altura_ventana</mi><mo>=</mo><mn>450</mn><mo>,</mo><mi>mostrar_malla</mi><mo>=</mo><mi>falso</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mi>y</mi><mo>=</mo><mi>x</mi><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s2</mi><mo>,</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s1</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s3</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>,</mo><cn>-∞</cn><mo>.</mo><mo>.</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s4</mi><mo>,</mo><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><cn>+∞</cn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>verde</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>dibujar</mi><mfenced><mrow><mi>s5</mi><mo>,</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blanco</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>2</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><reals/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>1</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c4</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>2</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c5</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mn>0</mn><mo>)</mo><mo>∪</mo><mi>interval_open_open</mi><mo>(</mo><mn>0</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>)</mo><mi>C</mi><mi>o</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>u</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>1</mn><mspace linebreak="newline"/><mi>B</mi><mo>)</mo><mi>C</mi><mi>o</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>u</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>2</mn><mspace linebreak="newline"/><mi>C</mi><mo>)</mo><mi>C</mi><mi>o</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>u</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>3</mn><mspace linebreak="newline"/><mi>D</mi><mo>)</mo><mi>C</mi><mi>o</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>u</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>4</mn><mspace linebreak="newline"/><mi>E</mi><mo>)</mo><mi>C</mi><mi>o</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>u</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>c</mi><mn>5</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS I/TEMA 4 -Funciones/Propiedades Ariketa_1 Calcula el dominio de la siguiente función(Ondorengo funtzioaren eremua kalkulatu):

func1

]]> 1.0000000 0.3333333 0 0 Dominio(Eremua)=#d]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>(</mo><mi>E</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>u</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_10 Calcula el dominio de la siguiente función(Ondorengo funtzioaren eremua kalkulatu):

func5

]]> 1.0000000 0.3333333 0 0 Dominio(Eremua)=#d]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>(</mo><mi>E</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>u</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_11 Calcula el recorrido de la siguiente función(Ondorengo funtzioaren ibilbidea kalkulatu):

func5

]]> 1.0000000 0.3333333 0 0 Recorrido(Ibilbidea)=#r]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_close_open</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>(</mo><mi>I</mi><mi>b</mi><mi mathvariant="normal">i</mi><mi>l</mi><mi>b</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_2 Calcula el recorrido de la siguiente función(Ondorengo funtzioaren ibilbidea kalkulatu):

func1

]]> 1.0000000 0.3333333 0 0 Recorrido(Ibilbidea)=#r]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_open_close</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>3</mn><mo>)</mo><mo>∪</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>(</mo><mi>I</mi><mi>b</mi><mi mathvariant="normal">i</mi><mi>l</mi><mi>b</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_3 Calcula el dominio de la siguiente función(Ondorengo funtzioaren eremua kalkulatu):

func2

]]> 1.0000000 0.3333333 0 0 Dominio(Eremua)=#d]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>(</mo><mi>E</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>u</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_4 Calcula el recorrido de la siguiente función(Ondorengo funtzioaren ibilbidea kalkulatu):

func2

]]> 1.0000000 0.3333333 0 0 Recorrido(Ibilbidea)=#r]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_close_open</mi><mo>(</mo><cn>-∞</cn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>(</mo><mi>I</mi><mi>b</mi><mi mathvariant="normal">i</mi><mi>l</mi><mi>b</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_5 Calcula el dominio de la siguiente función(Ondorengo funtzioaren eremua kalkulatu):

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«/math»#f

]]> 1.0000000 0.3333333 0 0 Dominio(Eremua)=#d]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mrow><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mi>x</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>multzo_eremua</mi><mo>(</mo><mfrac><mrow><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mi>x</mi></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>(</mo><mi>E</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>u</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_6 Calcula el dominio de la siguiente función(Ondorengo funtzioaren eremua kalkulatu):

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«/math»#f

]]> 1.0000000 0.3333333 0 0 Dominio(Eremua)=#d]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>multzo_eremua</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>(</mo><mi>E</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>u</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_7 Calcula el dominio de la siguiente función(Ondorengo funtzioaren eremua kalkulatu):

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«/math»#f

]]> 1.0000000 0.3333333 0 0 Dominio(Eremua)=#d]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>multzo_eremua</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>3</mn></mrow></mfenced><mo>∪</mo><mfenced open="["><mrow><mn>1</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>(</mo><mi>E</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>u</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_8 Calcula el dominio de la siguiente función(Ondorengo funtzioaren eremua kalkulatu):

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«/math»#f

]]> 1.0000000 0.3333333 0 0 Dominio(Eremua)=#d]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>2</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>multzo_eremua</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>3</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mo>-</mo><mn>3</mn><mo>,</mo><mn>1</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>1</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>(</mo><mi>E</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>u</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta 1
func1
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 R Pregunta 10
func5
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 R Pregunta 11
func5
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 =-1]]> Pregunta 12 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»L«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»f«/mi»«mi»u«/mi»«mi»n«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mi»h«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«/mfrac»«/msqrt»«mo»§nbsp;«/mo»«mi»v«/mi»«mi»e«/mi»«mi»r«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mo»§nbsp;«/mo»«mi»q«/mi»«mi»u«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»u«/mi»«mo»§nbsp;«/mo»«mi»d«/mi»«mi»o«/mi»«mi»m«/mi»«mi»i«/mi»«mi»n«/mi»«mi»i«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»:«/mo»«/math»

]]>  

]]> 1.0000000 1.0000000 0 true true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»D«/mi»«mi»o«/mi»«mi»m«/mi»«mo»(«/mo»«mi»h«/mi»«mo»)«/mo»«mo»=«/mo»«mo»(«/mo»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»-«/mo»«mn»3«/mn»«mo»]«/mo»«mo»§#8746;«/mo»«mo»[«/mo»«mn»5«/mn»«mo»,«/mo»«mo»§#8734;«/mo»«mo»)«/mo»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»D«/mi»«mi»o«/mi»«mi»m«/mi»«mo»(«/mo»«mi»h«/mi»«mo»)«/mo»«mo»=«/mo»«mo»(«/mo»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»-«/mo»«mn»3«/mn»«mo»]«/mo»«mo»§#8746;«/mo»«mo»(«/mo»«mn»5«/mn»«mo»,«/mo»«mo»§#8734;«/mo»«mo»)«/mo»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»D«/mi»«mi»o«/mi»«mi»m«/mi»«mo»(«/mo»«mi»h«/mi»«mo»)«/mo»«mo»=«/mo»«mo»[«/mo»«mo»-«/mo»«mn»3«/mn»«mo»,«/mo»«mn»5«/mn»«mo»)«/mo»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»D«/mi»«mi»o«/mi»«mi»m«/mi»«mo»(«/mo»«mi»h«/mi»«mo»)«/mo»«mo»=«/mo»«mo»(«/mo»«mo»-«/mo»«mn»3«/mn»«mo»,«/mo»«mn»5«/mn»«mo»]«/mo»«/math» Pregunta 13 func6
]]> 1.0000000 1.0000000 0 false true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»-«/mo»«mn»4«/mn»«mo»,«/mo»«mn»-2«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»0«/mn»«mo»,«/mo»«mn»2«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»4«/mn»«mo»,«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»-«/mo»«mn»2«/mn»«mo»,«/mo»«mn»0«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»2«/mn»«mo»,«/mo»«mn»4«/mn»«/mrow»«/mfenced»«/math» Pregunta 14 func6
]]> 1.0000000 1.0000000 0 false true abc «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»-«/mo»«mn»4«/mn»«mo»,«/mo»«mn»-2«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»0«/mn»«mo»,«/mo»«mn»2«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»4«/mn»«mo»,«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»-«/mo»«mn»2«/mn»«mo»,«/mo»«mn»0«/mn»«/mrow»«/mfenced»«/math» «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mn»2«/mn»«mo»,«/mo»«mn»4«/mn»«/mrow»«/mfenced»«/math» Pregunta 2
func1
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 Pregunta 3
func2
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 R Pregunta 4
func2
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 R Pregunta 5
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mi»x«/mi»«/mfrac»«/math»
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 0]]> Pregunta 6
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/math»
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 R Pregunta 7
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«mrow»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/msqrt»«/math»
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 No tiene solucion Pregunta 8
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«/math»
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 1]]> Pregunta 9
«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced close="" open="{"»«mtable»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»x«/mi»«mo»§lt;«/mo»«mfrac»«mn»5«/mn»«mn»3«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»14«/mn»«mi»x«/mi»«mo»+«/mo»«mn»15«/mn»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mfrac»«mn»5«/mn»«mn»3«/mn»«/mfrac»«mo»§lt;«/mo»«mi»x«/mi»«mo»§lt;«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mi»x«/mi»«mo»§gt;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»
La solución sin espacios en blanco y siempre en orden de menor a mayor.
Si no es entero, en forma de fracción.
Si no tiene solución escribe: No tiene solucion
Si la solución es «math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mo»-«/mo»«mo»§#8734;«/mo»«mo»,«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/mfenced»«/math», escribe R
El signo unicamente si es negativo.
Si la respuesta está formada por varios intervalos, separalos con una coma y sin espacios en blanco.
Ejemplos: 2<x<5 -1<=x<5/3 x<2,x>=5
]]> 1.0000000 1.0000000 0 0 3]]> MATE CCSS I/Tema 5- Estadistica Unidimensional/Ejercicios complementarios Pregunta 1_w Calcula la media, moda y mediana del siguiente conjunto de datos :

     #datos.

En lugar de la coma decimal, utilizar el punto.

Media ={#1}
Moda ={#2}
Mediana ={#3}

 

]]> 3.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>2</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>3</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>4</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>5</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>6</mn><mo>→</mo><mi>e</mi><mo>,</mo><mn>7</mn><mo>→</mo><mi>f</mi><mo>,</mo><mn>8</mn><mo>→</mo><mi>g</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>handia</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>contar_elemento</mi><mo>(</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>}</mo><mo>,</mo><mi>handia</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>medi</mi><mo>=</mo><mi>mediana</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>mo</mi><mo>=</mo><mi>moda</mi><mfenced><mi>datos</mi></mfenced></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.57</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>medi</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>mo</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 10_w Calcula la varianza y la desviación típica de los datos que se recogen en la siguiente tabla :

Xi Frecuencia
(44,50] #a
(50,56] #b
(56,62] #c
(62,68] #d
(68,74] #e
(74,80] #f
   

En lugar de la coma decimal, utilizar el punto.

Desviación Típica= {#1}

Varianza= {#2}

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>47</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>53</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>59</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>65</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>71</mn><mo>→</mo><mi>e</mi><mo>,</mo><mn>77</mn><mo>→</mo><mi>f</mi><mo>]</mo><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>desviacion_estandar</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mi>variancia</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>suma</mi><mo>:</mo><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo>+</mo><mi>e</mi><mo>+</mo><mi>f</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10.903</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>118.87</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 11_w Dos alumnos de 4º de ESO, Pedro y Antonio, tienen de nota media en Lengua 4,5. Pero la desviación típica de las notas de Pedro es 3,16 y la desviación típica de Antonio es 1,2. Calcula el coeficiente de variación en los dos casos y averigua qué alumno es más regular en sus estudios.

En lugar de la coma decimal, utilizar el punto.

Coeficiente de variación para Pedro= {#1}

Coeficiente de variación para Antonio= {#2}

Es más regular {#3}

]]> 3.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cvp</mi><mo>=</mo><mfrac><mrow><mn>3</mn><mo>.</mo><mn>16</mn></mrow><mrow><mn>4</mn><mo>.</mo><mn>5</mn></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.70222</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cva</mi><mo>=</mo><mfrac><mrow><mn>1</mn><mo>.</mo><mn>2</mn></mrow><mrow><mn>4</mn><mo>.</mo><mn>5</mn></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.26667</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 12_w Dados los siguientes conjuntos de números:

a) #datos1

b) #datos2

Averigua cuáles de los dos están más agrupados entorno a la media, es decir, cuáles están menos dispersos.

Elige la opción adecuada   {#1}

]]> 1.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>140</mn><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>140</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>140</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>140</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>140</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos1</mi><mo>=</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos2</mi><mo>=</mo><mo>{</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>,</mo><mi>h</mi><mo>,</mo><mi>i</mi><mo>,</mo><mi>j</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>suma1</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo>+</mo><mi>e</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>suma2</mi><mo>=</mo><mi>f</mi><mo>+</mo><mi>g</mi><mo>+</mo><mi>h</mi><mo>+</mo><mi>i</mi><mo>+</mo><mi>j</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mfrac><mrow><mi>desviacion_estandar</mi><mo>(</mo><mi>datos1</mi><mo>)</mo><mo>*</mo><msqrt><mrow><mi>suma1</mi><mo>-</mo><mn>1</mn></mrow></msqrt></mrow><msqrt><mi>suma1</mi></msqrt></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mfrac><mrow><mi>desviacion_estandar</mi><mo>(</mo><mi>datos2</mi><mo>)</mo><mo>*</mo><msqrt><mrow><mi>suma2</mi><mo>-</mo><mn>1</mn></mrow></msqrt></mrow><msqrt><mi>suma2</mi></msqrt></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x11</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x21</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv1</mi><mo>=</mo><mfrac><mi>x1</mi><mi>x11</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv2</mi><mo>=</mo><mfrac><mi>x2</mi><mi>x21</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>cv1</mi><mo>&lt;</mo><mi>cv2</mi></mrow><mtable><mtr><mtd><mi>correcto</mi><mo>=</mo><mi>datos1</mi></mtd></mtr><mtr><mtd><mi>falsos</mi><mo>=</mo><mi>datos2</mi></mtd></mtr></mtable><mtable><mtr><mtd><mi>correcto</mi><mo>=</mo><mi>datos2</mi></mtd></mtr><mtr><mtd><mi>falsos</mi><mo>=</mo><mi>datos1</mi></mtd></mtr></mtable></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>correcto</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>122</mn><mo>,</mo><mn>119</mn><mo>,</mo><mn>140</mn><mo>,</mo><mn>139</mn><mo>,</mo><mn>137</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>falsos</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>4</mn></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.84508</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.10909</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 14_w Calcula la media y la moda del siguiente conjunto de datos :

Xi Frecuencia
(0,1] #a
(1,2] #b
(2,3] #c
(3,4] #d
(4,5] #e

En lugar de la coma decimal, utilizar el punto.

Media= {#1}

Moda= {#2}

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>1</mn><mo>.</mo><mn>5</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>2</mn><mo>.</mo><mn>5</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>3</mn><mo>.</mo><mn>5</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>→</mo><mi>e</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>handia</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>contar_elemento</mi><mo>(</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>}</mo><mo>,</mo><mi>handia</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>me</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>mo</mi><mo>=</mo><mi>moda</mi><mfenced><mi>datos</mi></mfenced></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>me</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.5909</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>mo</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 16_w Las puntuaciones obtenidas por 25 participantes en un estudio tienen la siguiente distribución.

Puntuación Frecuencia
33 #a
37 #b
38 #c
39 #d
40 #e
42 #f
43 #g
45 #h
47 #i
50 #j
59 #k
66 #l

Se pide calcular la puntuación media y los cuartiles de la distribución.

 En lugar de la coma decimal, utilizar el punto.

Media={#1}
Q1= {#2}
Q2= {#3}
Q3= {#4}
 

 

]]> 4.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>j</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>l</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>33</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>37</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>38</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>39</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>40</mn><mo>→</mo><mi>e</mi><mo>,</mo><mn>42</mn><mo>→</mo><mi>f</mi><mo>,</mo><mn>43</mn><mo>→</mo><mi>g</mi><mo>,</mo><mn>45</mn><mo>→</mo><mi>h</mi><mo>,</mo><mn>47</mn><mo>→</mo><mi>i</mi><mo>,</mo><mn>50</mn><mo>→</mo><mi>j</mi><mo>,</mo><mn>59</mn><mo>→</mo><mi>k</mi><mo>,</mo><mn>66</mn><mo>→</mo><mi>l</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>q1</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>1</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>q3</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>q2</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>2</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr></mtable><mrow><mfenced><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo>+</mo><mi>e</mi><mo>+</mo><mi>f</mi><mo>+</mo><mi>g</mi><mo>+</mo><mi>h</mi><mo>+</mo><mi>i</mi><mo>+</mo><mi>j</mi><mo>+</mo><mi>k</mi><mo>+</mo><mi>l</mi></mrow></mfenced><mo>=</mo><mn>25</mn></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>39.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>43.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>50.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>44.96</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 17_w En una empresa con 100 empleados se ha realizado una encuesta y se han recogido los siguientes datos sobre el número de hijos/as.

Número de hijos Frecuencia
0 #a
1 #b
2 #c
3 #d

Se pide:

  1. completar la tabla de distribución con las frecuencias relativas, absolutas acumuladas y relativas acumuladas.
  2. Calcular la media, la mediana y la desviación típica.

 En lugar de la coma decimal, utilizar el punto.

Xi fi Fi hi Hi
0 #a {#1}  {#2}  {#3}
1 #b {#4}  {#5}  {#6}
2 #c {#7}  {#8}  {#9}
3 #d {#10}  {#11}  {#12}

 

Media={#13}
Mediana= {#14}
Desviación típica= {#15}
 

 

]]> 24.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>0</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>1</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>2</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>3</mn><mo>→</mo><mi>d</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>q2</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>2</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>dt</mi><mo>=</mo><mfrac><mrow><mi>desviacion_estandar</mi><mo>(</mo><mi>datos</mi><mo>)</mo><mo>*</mo><mn>99</mn></mrow><mn>100</mn></mfrac></mtd></mtr></mtable><mrow><mfenced><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow></mfenced><mo>=</mo><mn>100</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mfrac><mi>a</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j</mi><mo>=</mo><mfrac><mi>c</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mfrac><mi>d</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mfrac><mi>a</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><mfrac><mi>e</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mfrac><mi>f</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mfrac><mi>g</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.33</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>31</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>22</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>e</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>46</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>f</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>68</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>g</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>100</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>h</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.31</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 2_w Un alumno ha obtenido las siguientes notas en la asignatura de matemáticas:

     #datos.

Calcula la varianza y la desviación típica
 
 
En lugar de la coma decimal, utilizar el punto. 
Varianza =  {#1}
Desviación típica =  {#2}
 

 

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>,</mo><mi>h</mi><mo>]</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>desviacion_estandar</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mi>variancia</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>dt</mi><mo>=</mo><mfrac><mrow><mi>desviacion_estandar</mi><mo>(</mo><mi>datos</mi><mo>)</mo><mo>*</mo><msqrt><mn>7</mn></msqrt></mrow><msqrt><mn>8</mn></msqrt></mfrac></mtd></mtr><mtr><mtd><mi>var</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>var</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.6094</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>dt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.6154</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.7269</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.9821</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 7_w Calcula la media, moda y mediana del siguiente conjunto de datos :

     #datos.

 

En lugar de la coma decimal, utilizar el punto.

Media ={#1}
Moda ={#2}
Mediana ={#3}

 

]]> 3.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>5</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>10</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>12</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>15</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>20</mn><mo>→</mo><mi>e</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>handia</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>contar_elemento</mi><mo>(</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>}</mo><mo>,</mo><mi>handia</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>medi</mi><mo>=</mo><mi>mediana</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>mo</mi><mo>=</mo><mi>moda</mi><mfenced><mi>datos</mi></mfenced></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12.556</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>medi</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>mo</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 8_w Calcula el primer y tercer cuartil del siguiente conjunto de datos :

Xi Frecuencia
2 #a
3 #b
4 #c
5 #d
6 #e
7 #f
8 #g

 En lugar de la coma decimal, utilizar el punto.

Q1= {#1}
Q3= {#2}
 

 

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>2</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>3</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>4</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>5</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>6</mn><mo>→</mo><mi>e</mi><mo>,</mo><mn>7</mn><mo>→</mo><mi>f</mi><mo>,</mo><mn>8</mn><mo>→</mo><mi>g</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>q1</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>1</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>q2</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 9_w Calcula la media y la moda del siguiente conjunto de datos :

Xi Frecuencia
(44,50] #a
(50,56] #b
(56,62] #c
(62,68] #d
(68,74] #e
(74,80] #f
   

En lugar de la coma decimal, utilizar el punto.

Media= {#1}

Moda= {#2}

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>47</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>53</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>59</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>65</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>71</mn><mo>→</mo><mi>e</mi><mo>,</mo><mn>77</mn><mo>→</mo><mi>f</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>handia</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>contar_elemento</mi><mo>(</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>}</mo><mo>,</mo><mi>handia</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>me</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>mo</mi><mo>=</mo><mi>moda</mi><mfenced><mi>datos</mi></mfenced></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>me</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>60.909</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>mo</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>53.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_15 ¿De qué tipo es el siguiente gráfico?

 

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 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Gráfico de sectores

]]> Gráfico de barras

]]> Histograma

]]> Polígono de frecuencias

]]> Pregunta_3 Para obtener el valor central de un conjunto ordenado de datos, es decir, aquel valor que la mitad son menores o iguales que él y la otra mitad mayores o iguales a él, tendríamos que obtener:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> La mediana

]]> La moda

]]> La media

]]> El primer cuartil

]]> Pregunta_4 El cuartil superior Q3 es:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Una medida de centralización

]]> Una medida de posición

]]> Una medida de dispersión

]]> Una permutación de 3 elementos

]]> Pregunta_5 El coeficiente de variación se utiliza para:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Calcular las dispersiones de dos conjuntos de datos expresados en distintas unidades.

]]> Calcular las varaciones con repetición.

]]> Calcular la variación que hay entre todas las medidas de dispersión.

]]> Calcular la variación que hay entre la varianza y la desviación típica.

]]> Pregunta_6 Las medidas de dispersión se utilizan para:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Informarnos sobre la dispersión del conjunto de datos con respecto a la media.

]]> Informarnos sobre la dispersión del conjunto de datos con respecto a la mediana.

]]> Informarnos sobre la dispersión del conjunto de datos con respecto a la moda.

]]> Informarnos sobre la dispersión del conjunto de datos con respecto a los cuartiles.

]]> MATE CCSS I/Tema 5- Estadistica Unidimensional/Galdetegiak egiteko Ariketa_1 Las edades de los empleados de una empresa son los siguientes: 22, 27,35, 23, 37, 24, 31, 28, 24, 38, 23, 36, 25, 37, 22, 34, 27, 29, 28, 32, 35, 36, 26, 34, 33, 25, 23, 36, 32, 25, 29, 37, 34, 23, 27, 35, 32, 24, 38, 33, 35, 31, 29, 30, 26, 31, 39, 34, 30, 27, 29, 36, 32, 30, 28, 33, 29, 28, 25, 31, 24.

Construye la tabla de frecuencias correspondiente.

 En lugar de la coma decimal, utilizar el punto.

Xi fi Fi hi Hi
{#1} {#2} {#3} {#4} {#5}
{#6} {#7} {#8} {#9} {#10}
{#11} {#12} {#13} {#14} {#15}
{#16} {#17} {#18} {#19} {#20}
{#21} {#22} {#23} {#24} {#25}
{#26} {#27} {#28} {#29} {#30}
{#31} {#32} {#33} {#34} {#35}
{#36} {#37} {#38} {#39} {#40}
{#41} {#42} {#43} {#44} {#45}
{#46} {#47} {#48} {#49} {#50}
{#51} {#52} {#53} {#54} {#55}
{#56} {#57} {#58} {#59} {#60}
{#61} {#62} {#63} {#64} {#65}
{#66} {#67} {#68} {#69} {#70}
{#71} {#72} {#73} {#74} {#75}
{#76} {#77} {#78} {#79} {#80}
{#81} {#82} {#83} {#84} {#85}
{#86} {#87} {#88} {#89} {#90}

 

 

 

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>p4</mi><mo>=</mo><mfrac><mi>p1</mi><mrow><mn>61</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>o4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.98</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q4</mi><mo>=</mo><mfrac><mi>q1</mi><mrow><mn>61</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>p4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_10 Las alturas de los alumnos de una clase de bachillerato en centímetros son: 172, 170, 180, 167, 168, 175, 184, 185, 184, 170, 175, 163, 183, 174, 185, 172, 184, 185, 176, 185, 181, 173, 194, 173, 183, 182, 165, 168, 168 y 174. Agrupa estos datos en una tabla: Agrúpalos en intervalos de 5 centímetros. Empieza con [160,165)

Calcula la moda, mediana, media, cuartiles, P24, D8, P55, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

 

 En lugar de la coma decimal, utilizar el punto.

Moda ={#1}   Moda ={#2}    Mediana= {#3}         Media={#4}      

1º cuartil = {#5}     2º cuartil = {#6}       3º cuartil = {#7}

P24 = {#8}                  D8 = {#9}                 P55= {#10}

Recorrido = {#11}       Recorrido intercuartilico = {#12}

Desviación media = {#13}                 Varianza = {#14}
 
Desviación típica= {#15}                      C. Variación = {#16}

 

 

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xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.6889</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7.6303</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>58.222</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.043069</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_11 En una librería han anotado el número de libros que ha comprado cada persona que ha entrado en la tienda.

La siguiente tabla resume la información:

Nº de libros

0

1

2

3

4

5

6

Nº de personas

3

22

18

7

2

1

1

 

 

 

Calcula la moda, mediana, media, cuartiles, P15, D3, P86, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

 En lugar de la coma decimal, utilizar el punto.

Moda ={#1}         Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

P15 = {#7}                  D3 = {#8}                 P86= {#9}

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#15}

 

 

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><mi>longitud</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>54</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.86557</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.1559</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.3361</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.63692</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_12 En una gasolinera estudian el número de vehículos que repostan a lo largo de un día, obteniendo:

 

Horas

[0,4)

[4,8)

[8,12)

[12,16)

[16,20)

[20,24)

Nº vehiculos

6

14

110

120

150

25

 

Calcula la moda, mediana, media, cuartiles, P95, D7, P60, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

 

 En lugar de la coma decimal, utilizar el punto.

Moda ={#1}         Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

P96 = {#7}                  D7 = {#8}                 P60= {#9}

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#15}

 

 

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mn>3</mn><mo>.</mo><mn>423</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12.599</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.186</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>17.523</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.29041</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_2 Las alturas de los alumnos de una clase de bachillerato en centímetros son: 172, 170, 180, 167, 168, 175, 184, 185, 184, 170, 175, 163, 183, 174, 185, 172, 184, 185, 176, 185, 181, 173, 194, 173, 183, 182, 165, 168, 168 y 174. Agrupa estos datos en una tabla: Agrúpalos en intervalos de 5 centímetros indicando las marcas de clase y las frecuencias.

 En lugar de la coma decimal, utilizar el punto.

Xi mi fi Fi hi Hi
[160,165) {#1} {#2} {#3} {#4} {#5}
[{#6},{#7}) {#8} {#9} {#10} {#11} {#12}
[{#13},{#14}) {#15} {#16} {#17} {#18} {#19}
[{#20},{#21}) {#22} {#23} {#24} {#25} {#26}
[{#27},{#28}) {#29} {#30} {#31} {#32} {#33}
[{#34},{#35}) {#36} {#37} {#38} {#39} {#40}
[{#41},{#42}) {#43} {#44} {#45} {#46} {#47}

 

 

 

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos</mi><mo>=</mo><mi>ordenar</mi><mo>{</mo><mtext>172,</mtext><mo> </mo><mtext>170,</mtext><mo> </mo><mtext>180,</mtext><mo> </mo><mtext>167,</mtext><mo> </mo><mtext>168,</mtext><mo> </mo><mtext>175,</mtext><mo> </mo><mtext>184,</mtext><mo> </mo><mtext>185,</mtext><mo> </mo><mtext>184,</mtext><mo> </mo><mtext>170,</mtext><mo> </mo><mtext>175,</mtext><mo> </mo><mtext>163,</mtext><mo> </mo><mtext>183,</mtext><mo> </mo><mtext>174,</mtext><mo> </mo><mtext>185,</mtext><mo> </mo><mtext>172,</mtext><mo> </mo><mtext>184,</mtext><mo> </mo><mtext>185,</mtext><mo> </mo><mtext>176,</mtext><mo> </mo><mtext>185,</mtext><mo> </mo><mtext>181,</mtext><mo> </mo><mtext>173,</mtext><mo> </mo><mtext>194,</mtext><mo> </mo><mtext>173,</mtext><mo> </mo><mtext>183,</mtext><mo> </mo><mtext>182,</mtext><mo> </mo><mtext>165,</mtext><mo> </mo><mtext>168,</mtext><mo> </mo><mtext>168</mtext><mo> </mo><mo>,</mo><mo> </mo><mtext>174</mtext><mo>}</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>163</mn><mo>,</mo><mn>165</mn><mo>,</mo><mn>167</mn><mo>,</mo><mn>168</mn><mo>,</mo><mn>168</mn><mo>,</mo><mn>168</mn><mo>,</mo><mn>170</mn><mo>,</mo><mn>170</mn><mo>,</mo><mn>172</mn><mo>,</mo><mn>172</mn><mo>,</mo><mn>173</mn><mo>,</mo><mn>173</mn><mo>,</mo><mn>174</mn><mo>,</mo><mn>174</mn><mo>,</mo><mn>175</mn><mo>,</mo><mn>175</mn><mo>,</mo><mn>176</mn><mo>,</mo><mn>180</mn><mo>,</mo><mn>181</mn><mo>,</mo><mn>182</mn><mo>,</mo><mn>183</mn><mo>,</mo><mn>183</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>185</mn><mo>,</mo><mn>185</mn><mo>,</mo><mn>185</mn><mo>,</mo><mn>185</mn><mo>,</mo><mn>194</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mi>longitud</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>160</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>160</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>165</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>165</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mn>170</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>170</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mn>175</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>175</mn></math></output></command><command><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>m2</mi><mo>=</mo><mn>167</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m3</mi><mo>=</mo><mn>172</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m4</mi><mo>=</mo><mn>177</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m5</mi><mo>=</mo><mn>182</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m6</mi><mo>=</mo><mn>187</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m7</mi><mo>=</mo><mn>192</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mn>1</mn></math></input><output><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>precision</mi><mo>(</mo><mn>3</mn><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi><mo>=</mo><mfrac><mi>a1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.0333</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b3</mi><mo>=</mo><mfrac><mi>b1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.167</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><mfrac><mi>c1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.267</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mfrac><mi>d1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>=</mo><mfrac><mi>e1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.267</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mfrac><mi>f1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.133</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g3</mi><mo>=</mo><mfrac><mi>g1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.0333</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a4</mi><mo>=</mo><mi>a3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.0333</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b4</mi><mo>=</mo><mfrac><mi>b1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>a4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c4</mi><mo>=</mo><mfrac><mi>c1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>b4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.467</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><mfrac><mi>d1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>c4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.567</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>=</mo><mfrac><mi>e1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>d4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.833</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mfrac><mi>f1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>e4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.967</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g4</mi><mo>=</mo><mfrac><mi>g1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>f4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_6 Las notas obtenidas por Iñigo en Euskera durante el curso son:3, 4, 5, 7, 6, 5, 6, 8, 6, 4, 7 y 6. Calcula la moda, mediana, media, cuartiles, P28, D6, P92, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

 En lugar de la coma decimal, utilizar el punto.

 

Moda ={#1}      Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

P28 = {#7}                  D6 = {#8}                 P92 = {#9}

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#15}

 

 

]]> 15.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos</mi><mo>=</mo><mo>{</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>6</mn><mo>}</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><mi>longitud</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mo</mi><mo>=</mo><mi>moda</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q2</mi><mo>=</mo><mi>mediana</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.5833</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q1</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>1</mn><mo>,</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q2</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>2</mn><mo>,</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q3</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p28</mi><mo>=</mo><mn>5</mn></math></input><output><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.1528</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.3819</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.9097</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.24751</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_7 Hemos medido las alturas de 36 alumnos de una clase de 1º de bachillerato y hemos obtenido los datos que se reflejan en la tabla. Calcula la moda, mediana, media, cuartiles, P22, D3, P55, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

Altura(metros)

[1,50 – 1,57)

[1,57 – 1,64)

[1,64 – 1,71)

[1,71 – 1,78)

[1,78 – 1,85)

[1,85 – 1,92)

Nº alumnos (fi)

1

4

11

10

8

2

 

En lugar de la coma decimal, utilizar el punto.

 Moda ={#1}      Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

P22 = {#7}                  D3 = {#8}                 P55 = {#9}

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#15}
 

 

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name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_8 1.- En la tabla se indica el número de calzado de 32 alumnos:

Número (xi)

37

38

39

40

41

42

43

44

Nº alumnos (fi)

3

2

4

7

4

5

4

3

 Calcula la moda, mediana, media, cuartiles, P28, D6, P92, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

En lugar de la coma decimal, utilizar el punto.

 

 Moda ={#1}      Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

P28 = {#7}                  D6 = {#8}                 P92 = {#9}

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#15}
 

 

]]> 15.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math 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open="|"><mrow><mn>42</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>42</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>42</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>43</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>43</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>43</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>43</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>44</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>44</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>44</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.7188</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>40.656</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.0404</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_9 Las edades de los empleados de una empresa son los siguientes: 22, 27,35, 23, 37, 24, 31, 28,

24, 38, 23, 36, 25, 37, 22, 34, 27, 29, 28, 32, 35, 36, 26, 34, 33, 25, 23, 36, 32, 25, 29, 37, 34,

23, 27, 35, 32, 24, 38, 33, 35, 31, 29, 30, 26, 31, 39, 34, 30, 27, 29, 36, 32, 30, 28, 33, 29, 28,

25, 31, 24.

Calcula la moda, mediana, media, cuartiles, P12, D3, P45, recorridos, desviación media, varianza, desviación típica y coeficiente de variación

 En lugar de la coma decimal, utilizar el punto.

Moda ={#1}      Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

P12 = {#7}                  D3 = {#8}                 P45 = {#9}

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#15}

 

 

]]> 15.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos</mi><mo>=</mo><mo>{</mo><mtext>22,27,35,23,37,24,31,28, 24,38,23,36,25,37,22,34,27,29,28,32,35,36,26,34,33,</mtext><mo> </mo><mtext>25,</mtext><mo> </mo><mtext>23,36,32,25,29,37,34, 23,27,35,32,24,38,33,35,</mtext><mn>31</mn><mtext>,29,30,26,31,39,34,30,27,29,36,32,30,28,33,29,28, 25,31,24</mtext><mo>}</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable 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open="|"><mrow><mtext>24</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mtext>38</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>33</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>35</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mn>31</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>29</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mn>30</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>26</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>31</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>39</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>34</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>30</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>27</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>29</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>36</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>32</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>30</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>28</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>33</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>29</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>28</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>25</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>31</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>24</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mo>}</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>8.0984</mn><mo>,</mo><mn>3.0984</mn><mo>,</mo><mn>4.9016</mn><mo>,</mo><mn>7.0984</mn><mo>,</mo><mn>6.9016</mn><mo>,</mo><mn>6.0984</mn><mo>,</mo><mn>0.90164</mn><mo>,</mo><mn>2.0984</mn><mo>,</mo><mn>6.0984</mn><mo>,</mo><mn>7.9016</mn><mo>,</mo><mn>7.0984</mn><mo>,</mo><mn>5.9016</mn><mo>,</mo><mn>5.0984</mn><mo>,</mo><mn>6.9016</mn><mo>,</mo><mn>8.0984</mn><mo>,</mo><mn>3.9016</mn><mo>,</mo><mn>3.0984</mn><mo>,</mo><mn>1.0984</mn><mo>,</mo><mn>2.0984</mn><mo>,</mo><mn>1.9016</mn><mo>,</mo><mn>4.9016</mn><mo>,</mo><mn>5.9016</mn><mo>,</mo><mn>4.0984</mn><mo>,</mo><mn>3.9016</mn><mo>,</mo><mn>2.9016</mn><mo>,</mo><mn>5.0984</mn><mo>,</mo><mn>7.0984</mn><mo>,</mo><mn>5.9016</mn><mo>,</mo><mn>1.9016</mn><mo>,</mo><mn>5.0984</mn><mo>,</mo><mn>1.0984</mn><mo>,</mo><mn>6.9016</mn><mo>,</mo><mn>3.9016</mn><mo>,</mo><mn>7.0984</mn><mo>,</mo><mn>3.0984</mn><mo>,</mo><mn>4.9016</mn><mo>,</mo><mn>1.9016</mn><mo>,</mo><mn>6.0984</mn><mo>,</mo><mn>7.9016</mn><mo>,</mo><mn>2.9016</mn><mo>,</mo><mn>4.9016</mn><mo>,</mo><mn>0.90164</mn><mo>,</mo><mn>1.0984</mn><mo>,</mo><mn>0.098361</mn><mo>,</mo><mn>4.0984</mn><mo>,</mo><mn>0.90164</mn><mo>,</mo><mn>8.9016</mn><mo>,</mo><mn>3.9016</mn><mo>,</mo><mn>0.098361</mn><mo>,</mo><mn>3.0984</mn><mo>,</mo><mn>1.0984</mn><mo>,</mo><mn>5.9016</mn><mo>,</mo><mn>1.9016</mn><mo>,</mo><mn>0.098361</mn><mo>,</mo><mn>2.0984</mn><mo>,</mo><mn>2.9016</mn><mo>,</mo><mn>1.0984</mn><mo>,</mo><mn>2.0984</mn><mo>,</mo><mn>5.0984</mn><mo>,</mo><mn>0.90164</mn><mo>,</mo><mn>6.0984</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.0704</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.7346</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>22.417</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.1573</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> MATE CCSS I/Tema 6- Estadistica bidimensional/Ejerc. Complementarios Pregunta 1_w Se considera la siguiente tabla de valores de dos variables.

 

X #a #b #c #d #e
Y #a1 #b1 #c1 #d1 #e1

Se pide:

  1. Encontrar la recta de regresión de Y sobre X.
  2. Con los resultados obtenidos en el apartado anterior, determinar el coeficiente de correlación de ambas variables.

 En lugar de la coma decimal, utilizar el punto.

Recta de regesión de Y sobre X    {#1}
 
Coeficiente de variación =  {#2}
 

 

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>e</mi></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>d</mi></mtd></mtr><mtr><mtd><mi>c1</mi><mo>=</mo><mi>c</mi></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>e1</mi><mo>=</mo><mi>a</mi></mtd></mtr><mtr><mtd><mi>X1</mi><mo>=</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>}</mo></mtd></mtr><mtr><mtd><mi>Y1</mi><mo>=</mo><mo>{</mo><mi>a1</mi><mo>,</mo><mi>b1</mi><mo>,</mo><mi>c1</mi><mo>,</mo><mi>d1</mi><mo>,</mo><mi>e1</mi><mo>}</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi><mo>=</mo><mi>recta_de_regresión</mi><mfenced><mrow><mi>X1</mi><mo>,</mo><mi>Y1</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>correlación</mi><mfenced><mrow><mi>X1</mi><mo>,</mo><mi>Y1</mi></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>rect</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>0.041667</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6.6667</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>0.041667</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 2_w Dado el siguiente conjunto de datos bidimensionales.

 

X 1 1 2 3 4 4 5 6 6
Y 2,1 2,5 3,1 3 3,8 3,2 4,3 3,9 4,4

Se pide:

  1. Indicar, sin efectuar cálculos, cuál de los siguientes valores es su coeficiente de correlación:

             {#1}

  2. Indicar cuál de las siguientes rectas es la recta de regresión de Y sobre X.

                   {#2}

 

 

]]> 3.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>X1</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>Y1</mi><mo>=</mo><mo>{</mo><mn>2</mn><mo>.</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>3</mn><mo>.</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>.</mo><mn>8</mn><mo>,</mo><mn>3</mn><mo>.</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>.</mo><mn>9</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>4</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>rect1</mi><mo>=</mo><mi>recta_de_regresión</mi><mfenced><mrow><mi>X1</mi><mo>,</mo><mi>Y1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>cov</mi><mo>=</mo><mi>covariancia</mi><mfenced><mrow><mi>X1</mi><mo>,</mo><mi>Y1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>var</mi><mo>=</mo><mi>variancia</mi><mfenced><mi>X1</mi></mfenced></mtd></mtr><mtr><mtd><mi>m1</mi><mo>=</mo><mfrac><mi>cov</mi><mi>var</mi></mfrac></mtd></mtr><mtr><mtd><mi>medx</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>X1</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>medy</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>Y1</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>rect1</mi></mtd></mtr><mtr><mtd><mi>r1</mi><mo>=</mo><mi>correlacion</mi><mo>(</mo><mi>X1</mi><mo>,</mo><mi>Y1</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>r2</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>3</mn></mtd></mtr><mtr><mtd><mi>r3</mi><mo>=</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>9</mn></mtd></mtr><mtr><mtd><mi>r4</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>rect2</mi><mo>:</mo><mo>=</mo><mi>y</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>37</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>.</mo><mn>53</mn></mtd></mtr><mtr><mtd><mi>rect3</mi><mo>:</mo><mo>=</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>37</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>.</mo><mn>03</mn></mtd></mtr><mtr><mtd><mi>rect4</mi><mo>:</mo><mo>=</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>72</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>.</mo><mn>03</mn></mtd></mtr></mtable></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>0.72</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2.03</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 3_w Los datos de la variable X expresan el producto interior bruto en decenas de millones de euros, y la variable Y es la tasa de inflacción.

 

X #a #b #c #d
Y 8.3 1.5 2.1 5.8

Se pide:

  1. Indicar cuál es el diagrama de dispersión de los datos.

    {#1}

  2. Indicar cuál de las rectas es la recta de regresión de Y sobre X

    {#2}

  3. Calcular el valor esperado de la tasa de inflacción que corresponde a un producto interior bruto de  #pib   decenas de millones de euros.

    Tasa de inflacción  =  {#3}

 En lugar de la coma decimal, utilizar el punto.

 

 

 

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definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>pib</mi><mo>≠</mo><mi>a</mi></mrow><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>pib</mi><mo>≠</mo><mi>b</mi></mrow><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>pib</mi><mo>≠</mo><mi>c</mi></mrow><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>pib</mi><mo>≠</mo><mi>d</mi></mrow><mtable><mtr><mtd><mi>a1</mi><mo>=</mo><mn>8</mn><mo>.</mo><mn>3</mn></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>5</mn></mtd></mtr><mtr><mtd><mi>c1</mi><mo>=</mo><mn>2</mn><mo>.</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mn>5</mn><mo>.</mo><mn>8</mn></mtd></mtr><mtr><mtd><mi>X1</mi><mo>=</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>}</mo></mtd></mtr><mtr><mtd><mi>Y1</mi><mo>=</mo><mo>{</mo><mi>a1</mi><mo>,</mo><mi>b1</mi><mo>,</mo><mi>c1</mi><mo>,</mo><mi>d1</mi><mo>}</mo></mtd></mtr><mtr><mtd><mi>rect1</mi><mo>=</mo><mi>recta_de_regresión</mi><mfenced><mrow><mi>X1</mi><mo>,</mo><mi>Y1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>cov</mi><mo>=</mo><mi>covariancia</mi><mfenced><mrow><mi>X1</mi><mo>,</mo><mi>Y1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>var</mi><mo>=</mo><mi>variancia</mi><mfenced><mi>X1</mi></mfenced></mtd></mtr><mtr><mtd><mi>m1</mi><mo>=</mo><mfrac><mi>cov</mi><mi>var</mi></mfrac></mtd></mtr><mtr><mtd><mi>medx</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>X1</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>medy</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>Y1</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>ti</mi><mo>=</mo><mi>m1</mi><mo>*</mo><mi>pib</mi><mo>+</mo><mi>medy</mi><mo>-</mo><mi>m1</mi><mo>*</mo><mi>medx</mi></mtd></mtr><mtr><mtd><mi>rect2</mi><mo>:</mo><mo>=</mo><mi>y</mi><mo>=</mo><mo>(</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>*</mo><mi>m1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mo>(</mo><mi>medy</mi><mo>-</mo><mi>m1</mi><mo>*</mo><mi>medx</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>T1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>T2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>graf1</mi><mo>:</mo><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>T1</mi><mo>,</mo><mo>{</mo><mi>punto</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>a1</mi><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mi>b</mi><mo>,</mo><mi>b1</mi><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mi>c</mi><mo>,</mo><mi>c1</mi><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mi>d</mi><mo>,</mo><mi>d1</mi><mo>)</mo><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>graf2</mi><mo>:</mo><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>T2</mi><mo>,</mo><mo>{</mo><mi>punto</mi><mo>(</mo><mi>a1</mi><mo>,</mo><mi>a</mi><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mi>b1</mi><mo>,</mo><mi>b</mi><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mi>c1</mi><mo>,</mo><mi>c</mi><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mi>d1</mi><mo>,</mo><mi>d</mi><mo>)</mo><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>rep</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></apply></apply></apply></apply></mtd></mtr><mtr><mtd><mi>hasta</mi><mo> </mo><mi>rep</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>graf2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tablero2</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>graf1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tablero1</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>rect1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>3.0687</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>17.269</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3.0687</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>17.269</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mfrac><mi>cov</mi><mi>var</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3.0687</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medx</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.1854</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medy</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.425</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3.1779</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.3017</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.3046</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3.9575</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 4_w La variable X expresa la calificación obtenida en el primer curso de bachillerato y la variable Y es la nota media de bachillerato. Se dispone de los siguientes datos correspondientes a 9 alumnos.

 

X #a #b #c #d #e #f #g #h #i
Y #a1 #b1 #c1 #d1 #e1 #f1 #g1 #h1 #i1

Se pide:

  1. Calcular la recta de regresión de Y sobre X.
  2. ¿Qué nota media se puede predecir para una persona que ha obtenido #m  en el primer curso de bachillerato?

 En lugar de la coma decimal, utilizar el punto.

 

Recta de regesión de Y sobre X    {#1}
 
Nota media de bachillerato  =  {#2}
 

 

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math 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definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>m</mi><mo>≠</mo><mi>i</mi></mrow><mtable><mtr><mtd><mi>a1</mi><mo>=</mo><mi>a</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>b</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>2</mn></mtd></mtr><mtr><mtd><mi>c1</mi><mo>=</mo><mi>c</mi><mo>-</mo><mn>0</mn><mo>.</mo><mn>4</mn></mtd></mtr><mtr><mtd><mi>d1</mi><mo>=</mo><mi>d</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>6</mn></mtd></mtr><mtr><mtd><mi>e1</mi><mo>=</mo><mi>e</mi><mo>-</mo><mn>0</mn><mo>.</mo><mn>8</mn></mtd></mtr><mtr><mtd><mi>f1</mi><mo>=</mo><mi>f</mi></mtd></mtr><mtr><mtd><mi>g1</mi><mo>=</mo><mi>g</mi><mo>+</mo><mn>1</mn><mo>.</mo><mn>2</mn></mtd></mtr><mtr><mtd><mi>h1</mi><mo>=</mo><mi>h</mi><mo>-</mo><mn>0</mn><mo>.</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>i1</mi><mo>=</mo><mi>i</mi><mo>+</mo><mn>1</mn><mo>.</mo><mn>3</mn></mtd></mtr><mtr><mtd><mi>X1</mi><mo>=</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>,</mo><mi>h</mi><mo>,</mo><mi>i</mi><mo>}</mo></mtd></mtr><mtr><mtd><mi>Y1</mi><mo>=</mo><mo>{</mo><mi>a1</mi><mo>,</mo><mi>b1</mi><mo>,</mo><mi>c1</mi><mo>,</mo><mi>d1</mi><mo>,</mo><mi>e1</mi><mo>,</mo><mi>f1</mi><mo>,</mo><mi>g1</mi><mo>,</mo><mi>h1</mi><mo>,</mo><mi>i1</mi><mo>}</mo></mtd></mtr><mtr><mtd><mi>rect</mi><mo>=</mo><mi>recta_de_regresión</mi><mfenced><mrow><mi>X1</mi><mo>,</mo><mi>Y1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>cov</mi><mo>=</mo><mi>covariancia</mi><mfenced><mrow><mi>X1</mi><mo>,</mo><mi>Y1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>var</mi><mo>=</mo><mi>variancia</mi><mfenced><mi>X1</mi></mfenced></mtd></mtr><mtr><mtd><mi>m1</mi><mo>=</mo><mfrac><mi>cov</mi><mi>var</mi></mfrac></mtd></mtr><mtr><mtd><mi>medx</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>X1</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>medy</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>Y1</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>mb</mi><mo>=</mo><mi>m1</mi><mo>*</mo><mi>m</mi><mo>+</mo><mi>medy</mi><mo>-</mo><mi>m1</mi><mo>*</mo><mi>medx</mi></mtd></mtr><mtr><mtd><mi>rep</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></apply></apply></apply></apply></apply></apply></apply></apply></apply></mtd></mtr><mtr><mtd><mi>hasta</mi><mo> </mo><mi>rep</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>rect</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>1.0484</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>0.065734</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mb</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.0908</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mfrac><mi>cov</mi><mi>var</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.0484</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medx</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.3849</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medy</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.6627</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 5_w La recta de regresión del gasto anual en alimentos Y (en miles de euros) por familia, en función de los ingresos anuales X (en miles de euros), viene dada por #rect

Se pide:

  1. Cuál es el gasto anual en alimentos de familias con ingresos anuales de  #ing11 euros?

                    Gasto anual  =  {#1}

  2. Sabiendo que el ingreso medio en una región es de  #ing21  euros por familia, hallar el gasto medio anual en alimentos en dicha zona.

                            Gasto medio anual  =  {#2}  

 En lugar de la coma decimal, utilizar el punto.

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>rect</mi><mo>:</mo><mo>=</mo><mi>y</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>ing1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>15</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>ing2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>25</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>ing11</mi><mo>=</mo><mn>1000</mn><mo>*</mo><mi>ing1</mi></mtd></mtr><mtr><mtd><mi>ing21</mi><mo>=</mo><mn>1000</mn><mo>*</mo><mi>ing2</mi></mtd></mtr><mtr><mtd><mi>ga1</mi><mo>=</mo><mi>ing1</mi><mo>*</mo><mn>0</mn><mo>.</mo><mn>2</mn><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>gma1</mi><mo>=</mo><mi>ing2</mi><mo>*</mo><mn>0</mn><mo>.</mo><mn>2</mn><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>ga</mi><mo>=</mo><mn>1000</mn><mo>*</mo><mi>ga1</mi></mtd></mtr><mtr><mtd><mi>gma</mi><mo>=</mo><mn>1000</mn><mo>*</mo><mi>gma1</mi></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ga</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4600.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>gma</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6000.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ing11</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ing21</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medx</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medx</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medy</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medy</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ing</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ing</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 6_w La recta de regresión de una variable Y respecto de la variable X es  #rect

Los valores que ha tomado la variable X son: #valoresx

Se pide:

  1. Determinar el valor esperado de y para el valor de x =  #valorx

                    {#1}

  2. Si los valores de la variable Y utilizados para la regresión se multiplican por #b y se mantienen los valores para la variable X, determinar razonadamente la nueva recta de regresión.

                            recta de regresión  {#2}  

 En lugar de la coma decimal, utilizar el punto.

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>rect</mi><mo>:</mo><mo>=</mo><mi>y</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>valoresx</mi><mo>=</mo><mo>{</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>valorx</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>.</mo><mn>0</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>0</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>valory</mi><mo>=</mo><mi>valorx</mi><mo>*</mo><mn>0</mn><mo>.</mo><mn>3</mn><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>mediax</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>valoresx</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>mediay</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>3</mn><mo>*</mo><mi>mediax</mi><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>rect1</mi><mo>:</mo><mo>=</mo><mi>y</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mi>mediay</mi><mo>*</mo><mi>b</mi><mo>-</mo><mn>0</mn><mo>.</mo><mn>3</mn><mo>*</mo><mi>mediax</mi></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>23.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>valorx</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.8466</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>valory</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.454</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mediax</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mediay</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 7_w La variable X representa los ingresos familiares medidos en miles de euros y la tasa de ahorro está expresada por la variable Y. Se dispone de los siguientes datos

 

X #a #b #c #d #e
Y #a1 #b1 #c1 #d1 #e1

Se pide:

  1. Calcular la recta de regresión de Y sobre X.
  2. ¿Qué tasa de ahorro se puede predecir para un ingreso familiar de #ing  miles de euros?

 En lugar de la coma decimal, utilizar el punto.

 

Recta de regesión de Y sobre X    {#1}
 
Tasa de ahorro  =  {#2}
 

 

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.86506</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.91245</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.2265</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.73691</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.7012</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ing</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.4409</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 8_w La variable X expresa la calificación obtenida en el primer examen parcial de cierta asignatura. Se dispone de los siguientes datos correspondientes a 7 alumnos.

 

X #a #b #c #d #e #f #g
Y #a1 #b1 #c1 #d1 #e1 #f1 #g1

Se pide:

  1. Indicar cuál de las siguientes rectas es la recta de regresión de Y sobre X.

        {#1}

  2. Determinar la nota final que se puede predecir para una persona que ha obtenido  #nota  en el primer examen parcial de la asignatura.

 

 En lugar de la coma decimal, utilizar el punto.

 Nota final  =  {#2}

 

 

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>rect1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>1.2575</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1.306</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mfrac><mi>cov</mi><mi>var</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.2575</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medx</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.2931</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medy</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.3502</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.4007</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3.7296</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.6616</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7.4584</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>nota</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.3798</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>0.73719</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1.349</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.0097</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> MATE CCSS I/Tema 6- Estadistica bidimensional/Galdetegiak egiteko Ariketa_10  

Utiliza punto ( . ) para valores decimales

 

a) Precio medio registrado  {#1}

b) Coeficiente de correlación lineal r =  {#2}

c) Recta de regresión  de Y sobre X :  y =  {#3}

    Precio de la especie pescada si se pescasen 2600 kg.  {#4}

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>{</mo><mn>2000</mn><mo>,</mo><mn>2400</mn><mo>,</mo><mn>2500</mn><mo>,</mo><mn>3000</mn><mo>,</mo><mn>2900</mn><mo>,</mo><mn>2800</mn><mo>,</mo><mn>3160</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>.</mo><mn>80</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>68</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>65</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>32</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>44</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>50</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>20</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect2</mi><mo>:</mo><mo>=</mo><mi>recta_de_regresión</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi><mo>:</mo><mo>=</mo><mi>recta_de_regresión</mi><mo>(</mo><mi>Y</mi><mo>,</mo><mi>X</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>correlacion</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>0005</mn><mo>*</mo><mn>2600</mn><mo>+</mo><mn>2</mn><mo>.</mo><mn>89</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi><mo>=</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>0005</mn><mi>x</mi><mo>+</mo><mn>2</mn><mo>.</mo><mn>89</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>Y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>0.97065</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.59</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>1839.5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5462.9</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>0.00051218</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2.8855</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>0.0005</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2.89</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.5129</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">f</option></options><localData><data name="casSession"/></localData></question> Ariketa_11  

Utiliza punto ( . ) para valores decimales

 

a) Diferencia de consumos  {#1}

b) Coeficiente de correlación lineal r =  {#2}

c) Recta de regresión  de Y sobre X :  y =  {#3}

    Cantidad de combustible que debemos poner para hacer un viaje de 500 km. Unos   {#4} litros

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>{</mo><mn>100</mn><mo>,</mo><mn>80</mn><mo>,</mo><mn>50</mn><mo>,</mo><mn>100</mn><mo>,</mo><mn>10</mn><mo>,</mo><mn>100</mn><mo>,</mo><mn>70</mn><mo>,</mo><mn>120</mn><mo>,</mo><mn>150</mn><mo>,</mo><mn>220</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi><mo>=</mo><mo>{</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>10</mn><mo>,</mo><mn>15</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect2</mi><mo>:</mo><mo>=</mo><mi>recta_de_regresión</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi><mo>:</mo><mo>=</mo><mi>recta_de_regresión</mi><mo>(</mo><mi>Y</mi><mo>,</mo><mi>X</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>correlacion</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mn>34</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>157</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>066</mn><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>Y</mi><mo>)</mo><mo>-</mo><mn>6</mn><mo>.</mo><mn>5</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.99137</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>34</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>14.908</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>0.62924</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>0.065925</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>0.15753</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.066</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>0.157</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.25</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">f</option></options><localData><data name="casSession"/></localData></question> Ariketa_15  

Utiliza punto ( . ) para valores decimales

 

a) Número medio de CD_s vendidos  (redondea la respuesta)  {#1}

b) Coeficiente de correlación lineal r =  {#2}

c) Recta de regresión  de Y sobre X :  y =  {#3}

    Numero de conciertos previstos si un grupo musical vende 18000 CD_s  (redondea la respuesta)  {#4}

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi><mo>=</mo><mo>{</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>,</mo><mn>35</mn><mo>,</mo><mn>35</mn><mo>,</mo><mn>35</mn><mo>,</mo><mn>35</mn><mo>,</mo><mn>60</mn><mo>,</mo><mn>35</mn><mo>,</mo><mn>60</mn><mo>,</mo><mn>60</mn><mo>,</mo><mn>60</mn><mo>,</mo><mn>60</mn><mo>,</mo><mn>60</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>{</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>,</mo><mn>15</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect2</mi><mo>:</mo><mo>=</mo><mi>recta_de_regresión</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi><mo>:</mo><mo>=</mo><mi>recta_de_regresión</mi><mo>(</mo><mi>Y</mi><mo>,</mo><mi>X</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>correlacion</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mn>2</mn><mo>.</mo><mn>86</mn><mo>*</mo><mn>18</mn><mo>+</mo><mn>13</mn><mo>.</mo><mn>51</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi><mo>=</mo><mn>2</mn><mo>.</mo><mn>86</mn><mi>x</mi><mo>+</mo><mn>13</mn><mo>.</mo><mn>51</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medx</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>X</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.814</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>64.99</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>0.23139</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>0.11314</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>2.8636</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>13.509</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.86</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>13.51</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medx</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9.6</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">f</option></options><localData><data name="casSession"/></localData></question> Ariketa_2 Traza, a ojo, la recta de regresión en cada una de estas distribuciones bidimensionales:
  • Indica cuales de ellas tienen correlación positiva y cuáles tienen correlación negativa.

A) Correlación {#1}     B) Correlación {#2}

C) Correlación {#3}     D) Correlación {#4}

  • Una de ellas presenta relación funcional.¿Cuál?¿Cuál es la expresión analítica de la función que relaciona las dos variables?

Relación funcional  {#5}        Expresión analítica y ={#6}

  • Ordena de menor a mayor las correlaciones

{#7}   <   {#8}    <   {#9}    <   {#10}

]]> 10.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ecu</mi><mo>:</mo><mo>=</mo><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>12</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_3 Una distribución bidimensional en la que los valores de x son 12,15,17,21,22 y 25, tiene una correlación #r1  y su recta de regresión es #y1. Calcula y(13), y(20), y(30), y(100).

¿Cuáles de las estimaciones anteriores son fiables, cuáles poco fiables y cuál no se debe hacer?

 Utiliza punto ( . ) para valores decimales

y(13)= {#1}      y(20)= {#2}       y(30)= {#3}       y(100)= {#4}

y(13) es {#5}

y(20) es {#6}

y(30) es {#7}

y(100) es {#8}

]]> 8.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>99</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>:</mo><mo>=</mo><mi>y</mi><mo>=</mo><mn>10</mn><mo>.</mo><mn>5</mn><mo>+</mo><mn>3</mn><mo>.</mo><mn>2</mn><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>10</mn><mo>.</mo><mn>5</mn><mo>+</mo><mn>3</mn><mo>.</mo><mn>2</mn><mo>*</mo><mn>13</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mn>10</mn><mo>.</mo><mn>5</mn><mo>+</mo><mn>3</mn><mo>.</mo><mn>2</mn><mo>*</mo><mn>20</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mn>10</mn><mo>.</mo><mn>5</mn><mo>+</mo><mn>3</mn><mo>.</mo><mn>2</mn><mo>*</mo><mn>30</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mn>10</mn><mo>.</mo><mn>5</mn><mo>+</mo><mn>3</mn><mo>.</mo><mn>2</mn><mo>*</mo><mn>100</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">f</option></options><localData><data name="casSession"/></localData></question> Ariketa_4 Los parámetros correspondientes a esta distribución bidimensional son:

X

0

1

2

3

3

4

5

6

7

8

9

Y

1

4

6

2

4

8

6

5

3

6

9

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«mo»§#160;«/mo»«mo»=«/mo»«/mrow»«/mstyle»«/math»#medx     «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mover»«mi»y«/mi»«mo»§#175;«/mo»«/mover»«mo»=«/mo»«/mstyle»«/math»#medy        «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«msub»«mi»§#963;«/mi»«mrow»«mi»x«/mi»«mi»y«/mi»«/mrow»«/msub»«mo»=«/mo»«/mrow»«/mstyle»«/math»#covar

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»§#963;«/mi»«mi»x«/mi»«/msub»«mo»=«/mo»«/mstyle»«/math»#dtx         «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msub»«mi»§#963;«/mi»«mi»y«/mi»«/msub»«mo»=«/mo»«/mstyle»«/math»#dty          «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»r«/mi»«mo»§#160;«/mo»«mo»=«/mo»«/mstyle»«/math»  #r1

Halla las ecuaciones de las dos rectas de regresión X sobre Y e Y sobre X.

Utiliza punto ( . ) para los valores decimales

]]> 1.0000000 0.3333333 0 0 Recta-regresión-Y-sobre-X=#rect1Recta-regresión-X-sobre-Y=#rect2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>X1</mi><mo>=</mo><mo>{</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>9</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>Y1</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>9</mn><mo>}</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi><mo>=</mo><mi>recta_de_regresión</mi><mfenced><mrow><mi>X1</mi><mo>,</mo><mi>Y1</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi><mo>=</mo><mi>recta_de_regresión</mi><mfenced><mrow><mi>Y1</mi><mo>,</mo><mi>X1</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi><mo>:</mo><mo>=</mo><mi>y</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>48</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>.</mo><mn>79</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect2</mi><mo>:</mo><mo>=</mo><mi>x</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>69</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>1</mn><mo>.</mo><mn>02</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medx</mi><mo>=</mo><mn>4</mn><mo>.</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>medy</mi><mo>=</mo><mn>4</mn><mo>.</mo><mn>9</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>covar</mi><mo>=</mo><mn>3</mn><mo>.</mo><mn>67</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dtx</mi><mo>=</mo><mn>2</mn><mo>.</mo><mn>77</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dty</mi><mo>=</mo><mn>2</mn><mo>.</mo><mn>31</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>57</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>g</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>Y</mi><mo>-</mo><mi>s</mi><mi>o</mi><mi>b</mi><mi>r</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>X</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mn>1</mn><mspace linebreak="newline"/><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>-</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>g</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>-</mo><mi>X</mi><mo>-</mo><mi>s</mi><mi>o</mi><mi>b</mi><mi>r</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>Y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">f</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_6

Utiliza punto ( . ) para los valores decimales

]]> 1.0000000 0.3333333 0 0 a)r=#r1b)Rectaregresión=#rectc)peso=#p]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mrow><mn>40</mn><mo>.</mo></mrow><mrow><mn>5</mn><mo>*</mo><mn>10</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi><mo>:</mo><mo>=</mo><mi>y</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mn>69</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>r</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>g</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mi>p</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">f</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_7

 

Utiliza punto ( . ) para valores decimales

Recta de regresión  de Y sobre X :  y =  {#1}

Alargamiento con 100 g = {#2} cm

Alargamiento con 500 g = {#3} cm

Correlación = {#4}

Es más fiable {#5}

]]> 6.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>{</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>,</mo><mn>30</mn><mo>,</mo><mn>60</mn><mo>,</mo><mn>90</mn><mo>,</mo><mn>120</mn><mo>,</mo><mn>150</mn><mo>,</mo><mn>200</mn><mo>,</mo><mn>250</mn><mo>,</mo><mn>350</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi><mo>=</mo><mo>{</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>10</mn><mo>.</mo><mn>2</mn><mo>,</mo><mn>12</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>18</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi><mo>:</mo><mo>=</mo><mi>recta_de_regresión</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>correlacion</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>051</mn><mo>*</mo><mn>100</mn><mo>-</mo><mn>0</mn><mo>.</mo><mn>01</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>051</mn><mo>*</mo><mn>500</mn><mo>-</mo><mn>0</mn><mo>.</mo><mn>01</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>051</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>0</mn><mo>.</mo><mn>01</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.99876</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.09</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25.49</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>0.051431</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>0.010342</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">f</option></options><localData><data name="casSession"/></localData></question> Ariketa_8

Utiliza punto ( . ) para los valores decimales

Redondea la respuesta del apartado b)

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Utiliza punto ( . ) para valores decimales

 

a) Coeficiente correlación  {#1}

b) Recta de regresión  de Y sobre X :  y =  {#2}

    Altura del agua transcurridos 40 horas  {#3}metros.

c) Recta de regresión  de X sobre Y :  x =  {#4}

    Tiempo transcurrido para que suene la alarma {#5} horas.

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 Se pide:

  1. Indicar cuál es el diagrama de dispersión de los datos.

    {#1}

  2. Calcular el coeficiente de correlación lineal  {#2}

 En lugar de la coma decimal, utilizar el punto.

 

 

 

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Se pide:

  1. Indicar cuál es el diagrama de dispersión de los datos.

    {#1}

  2. Calcular el coeficiente de correlación lineal  {#2}
  3. ¿Se puede estimar la tasa de inflación a partir del IPC? {#3} ya que  {#4} es {#5}

 En lugar de la coma decimal, utilizar el punto.

 

 

 

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El peso medio de los escolares es  {#1} kg.

El signo del coeficiente de correlación lineal es {#2}

 

 En lugar de la coma decimal, utilizar el punto.

 

 

 

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>X</mi><mo>=</mo><mo>{</mo><mn>0</mn><mo>.</mo><mn>7</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>7</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>9</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>9</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>Y</mi><mo>=</mo><mo>{</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>8</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>9</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>T1</mi><mo>=</mo><mi>tablero</mi><mfenced><mrow><mi>punto</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></mfenced><mo>,</mo><mn>12</mn><mo>,</mo><mn>12</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>T2</mi><mo>=</mo><mi>tablero</mi><mfenced><mrow><mi>punto</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></mfenced><mo>,</mo><mn>12</mn><mo>,</mo><mn>12</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>graf2</mi><mo>:</mo><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>T1</mi><mo>,</mo><mo>{</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>7</mn><mo>,</mo><mn>6</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>.</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>.</mo><mn>7</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>3</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>2</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>.</mo><mn>9</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>8</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>.</mo><mn>9</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>9</mn><mo>)</mo><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>graf1</mi><mo>:</mo><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>T2</mi><mo>,</mo><mo>{</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>7</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>.</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>1</mn><mo>.</mo><mn>7</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>2</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>5</mn><mo>.</mo><mn>8</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>,</mo><mi>punto</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo><mo>}</mo><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect2</mi><mo>:</mo><mo>=</mo><mi>recta_de_regresión</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect1</mi><mo>:</mo><mo>=</mo><mi>recta_de_regresión</mi><mo>(</mo><mi>Y</mi><mo>,</mo><mi>X</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>correlacion</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>0005</mn><mo>*</mo><mn>2600</mn><mo>+</mo><mn>2</mn><mo>.</mo><mn>89</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rect</mi><mo>=</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>0005</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>.</mo><mn>89</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>Y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>0.2401</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> MATE CCSS I/Tema 7- Combinatoria/Ejerc. complementarios Pregunta 1_w En un restaurante podemos almorzar con un menú en el que nos dan a elegir entre #a primeros platos, #b segundos y  #c  postres. ¿Cuántos menús distintos se pueden confeccionar?

 

                {#1}

]]> 1.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>b</mi><mo>*</mo><mi>c</mi></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>84</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 10_w ¿Cuántos números de #a cifras podemos formar con los dígitos 7,2,3 y 5?

 

{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">VR</csymbol><mn>4</mn><mi>a</mi></apply></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">V</csymbol><mn>4</mn><mrow><mi>a</mi><mo>-</mo><mn>4</mn></mrow></apply></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">VR</csymbol><mn>5</mn><mi>a</mi></apply></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">VR</csymbol><mn>3</mn><mi>a</mi></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>390625</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6561</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>65536</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 11_w ¿De cuántas maneras diferentes se pueden colocar #a amigos en la cola de un cine para comprar su entrada?

 

Se trata de una  {#1}

Solución  {#2} maneras distintas

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">P</csymbol><mi>a</mi></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>720</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 12_w Si queremos calcular de cuántas formas distintas se pueden sentar 4 personas en un banco, utilizaremos:

 

{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 13_w ¿Cómo distinguimos un caso de combinaciones de otro de variaciones?

 

{#1}

]]> 1.0000000 0.3333333 0 <question><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 14_w Marta ha ganado un concurso y como premio le dan a elegir que escoja  #a libros de una colección de 12. Para averiguar de cuántas formas distintas los puede elegir, ¿utilizaremos?

{#1}

Hallalas:  {#2} formas distintas.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>7</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>12</mn><mi>a</mi></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>792</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 15_w ¿De cuántas formas posibles pueden sentarse #a personas en un banco?

 

Se trata de una  {#1}

Solución  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">P</csymbol><mi>a</mi></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 16_w ¿Cuántos números de cinco cifras se pueden formar con las cifras 1,2,3,4 y 5 (sin repetirlas)?

 

Se trata de una  {#1}

Solución  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mn>5</mn></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">P</csymbol><mi>a</mi></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>120</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 17_w Si queremos elegir una comisión formada por #a alumnos de una clase de 28, ¿cuántas formas distintas trendremos de hacerlo?

 

Se trata de una  {#1}

Solución  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>28</mn><mi>a</mi></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>376740</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 18_w En una heladería tienen helados de #v sabores dintintos. Calcular el número de copas de helado que se pueden formar con #a bolas de diferentes sabores.

 

Se trata de una  {#1}

Solución  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>v</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>14</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mi>v</mi><mi>a</mi></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>11</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>55</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 19_w ¿Cuál de las siguientes afirmaciones es cierta?

{#1}

]]> 1.0000000 0.3333333 0 <question><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 2_w Se lanzan un dado y dos monedas. Haz un diagrama de árbol para averiguar todos los resultados posibles.

Número de resutados posibles = {#1}

]]> 1.0000000 0.3333333 0 <question/> Pregunta 3_w En una bolsa hay #b bola/as blanca/as, #n bola/as negra/as y #a bola/as azul/es. Si sacamos dos bolas de la bolsa, haz un diagrama de árbol y averigua los distintos resultados que se pueden obtener teniendo en cuenta el orden en que las sacamos.

Número de resultados posibles  {#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>n</mi><mo>=</mo><mn>3</mn></mrow><mrow><mi>sol</mi><mo>=</mo><mn>6</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>n</mi><mo>=</mo><mn>4</mn></mrow><mrow><mi>sol</mi><mo>=</mo><mn>7</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>n</mi><mo>=</mo><mn>5</mn></mrow><mrow><mi>sol</mi><mo>=</mo><mn>8</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>n</mi><mo>=</mo><mn>6</mn></mrow><mrow><mi>sol</mi><mo>=</mo><mn>9</mn></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 4_w ¿De cuántas formas distintas pueden sentarse #pers personas en un banco de #asient asientos?

 

Se trata de una  {#1}

Solución  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>repetir</mi></mtd></mtr><mtr><mtd><mi>pers</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>asient</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>hasta</mi><mo> </mo><mi>pers</mi><mo>&gt;</mo><mi>asient</mi></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">V</csymbol><mi>pers</mi><mi>asient</mi></apply></mtd></mtr><mtr><mtd/></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pers</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>asient</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>840</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 5_w ¿Cuántas palabras de #a letras diferentes (con o sin sentido) podemos formar con las letras de la palabra LIBRO?

 

Se trata de una  {#1}

Solución  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">V</csymbol><mn>5</mn><mi>a</mi></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 6_w ¿Cuántos números de #a cifras podemos formar con los dígitos 2,4,6 y 8?

 

Se trata de una  {#1}

Solución  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">VR</csymbol><mn>4</mn><mi>a</mi></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>65536</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 7_w Averiguar cuántas quinielas de futbol distintas se podrían hacer, incluyendo el pleno al quince y sin incluirlo

 

Se trata de una  {#1}

Con el pleno al 15  {#2}

Sin el pleno al 15  {#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>sol1</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">VR</csymbol><mn>3</mn><mn>15</mn></apply></mtd></mtr><mtr><mtd><mi>sol2</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">VR</csymbol><mn>3</mn><mn>14</mn></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>14348907</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4782969</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 8_w ¿Cuántas palabras de #a letras diferentes (con o sin sentido) podemos formar con las letras de la palabra CUADRO?

 

Se trata de una  {#1}

Solución  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">V</csymbol><mn>6</mn><mi>a</mi></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>720</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 9_w En una heladeria tienen tarrinas de #a tamaños diferentes y con #b sabores distintos.¿Cuántos helados distintos puedo elegir?

 

{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>sol1</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>*</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>b</mi><mo>+</mo><mn>1</mn><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>11</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> MATE CCSS I/Tema 7- Combinatoria/Galdetegiak egiteko Ariketa_1 ¿De cuántas formas diferentes se pueden cubrir los puestos de presidente, vicepresidente y tesorero de un club de fútbol sabiendo que hay 12 posibles candidatos?

 

Erantzuna  :{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">V</csymbol><mn>12</mn><mn>3</mn></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1320</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_10 Con el punto y raya del sistema Morse, ¿cuántas señales distintas se pueden enviar, usando como máximo cuatro pulsaciones?

 

Erantzuna  :{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">VR</csymbol><mn>2</mn><mn>4</mn></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_11 Una mesa presidencial está formada por ocho personas, ¿de cuántas formas distintas se pueden sentar, si el presidente y el secretario siempre van juntos?

 

Erantzuna  :{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">P</csymbol><mn>2</mn></apply><mo>*</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">P</csymbol><mn>7</mn></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10080</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_12 ¿Cuántas diagonales tiene un pentágono y cuántos triángulos se puede formar con sus vértices?

 

Erantzunak  : Diagonales  {#1}

                   Se pueden formar {#2} triángulos

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>5</mn><mn>2</mn></apply><mo>-</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>5</mn><mn>3</mn></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_13 Un grupo, compuesto por cinco hombres y siete mujeres, forma un comité de 2 hombres y 3 mujeres. De cuántas formas puede formarse, si:

    1. Puede pertenecer a él cualquier hombre o mujer.
    2. Una mujer determinada debe pertenecer al comité.
    3. Dos hombres determinados no pueden estar en el comité.

 

Erantzunak   a) {#1}

                     b) {#2}

                     c){#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>5</mn><mn>2</mn></apply><mo>*</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>7</mn><mn>3</mn></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>5</mn><mn>2</mn></apply><mo>*</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>6</mn><mn>2</mn></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>3</mn><mn>2</mn></apply><mo>*</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>7</mn><mn>3</mn></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>350</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>150</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>105</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_2 Con las letras de la palabra libro, ¿cuántas ordenaciones distintas se pueden hacer que empiecen por vocal?

 

Erantzuna  :{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">P</csymbol><mn>4</mn></apply><mo>*</mo><mn>2</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>48</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_3 ¿De cuántas formas pueden mezclarse los siete colores del arco iris tomándolos de tres en tres?

 

Erantzuna  :{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>7</mn><mn>3</mn></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>35</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_4 ¿Cuántos números de cinco cifras distintas se pueden formar con las cifras impares? ¿Cuántos de ellos son mayores de 70.000?

 

Erantzunak  :{#1}

                   Son mayores que 70000   {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">P</csymbol><mn>5</mn></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>2</mn><mo>*</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">P</csymbol><mn>4</mn></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>120</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>48</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_5 ¿De cuántos partidos consta una liguilla formada por cuatro equipos?

 

Erantzuna  :{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">V</csymbol><mn>4</mn><mn>2</mn></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_6 A una reunión asisten 10 personas y se intercambian saludos entre todos. ¿Cuántos saludos se han intercambiado?

 

Erantzuna  :{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>10</mn><mn>2</mn></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>45</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_7 Con las cifras 1, 2 y 3, ¿cuántos números de cinco cifras pueden formarse? ¿Cuántos son pares?

 

Erantzunak  :{#1}

                   Son pares  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">VR</csymbol><mn>3</mn><mn>5</mn></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">VR</csymbol><mn>3</mn><mn>4</mn></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>243</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>81</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_8 ¿Cuántas apuestas de Lotería Primitiva de una columna han de rellenarse para asegurarse el acierto de los seis resultados, de 49?

 

Erantzuna  :{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">C</csymbol><mn>49</mn><mn>6</mn></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>13983816</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_9 ¿De cuántas formas pueden colocarse los 11 jugadores de un equipo de fútbol teniendo en cuenta que el portero no puede ocupar otra posición distinta de la portería?

 

Erantzuna  :{#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">P</csymbol><mn>10</mn></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3628800</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> MATE CCSS I/Tema 8- Probabilidad/Galdetegiak egiteko Ariketa_10 En una urna A hay 5 bolas numeradas del 1 al 5 y en otra urna B hay 4 bolas numeradas del 6 al 9. Se lanza una moneda; si sale cara, se extrae una bola de la urna A, y si sale cruz, se extrae una bola de la urna B. Calcula la probabilidad de que la bola extraída sea:

a) La que lleva el número 5:

                  P("número 5)={#1}

b) La que lleva el número 8:

                  P("número 8")={#2}

c) Lleve un número par:

                  P("número par")={#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>10</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>10</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>1</mn><mn>8</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>8</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>9</mn><mn>20</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>20</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_11 Una urna contiene 5 bolas blancas, 3 rojas y 2 verdes. Hacemos dos extracciones con reemplazamiento. Calcula la probabilidad de obtener:

a) Dos bolas verdes:

                  P("2 verdes)={#1}

b) Ninguna bola verde:

                  P("ninguna verde")={#2}

c) Una bola verde:

                  P("1 verde")={#3}

Y si las extracciones son sin reemplazamientol:

                  P("2 verdes)={#4}

                  P("ninguna verde")={#5}

                  P("1 verde")={#6}

]]> 6.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>25</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>10</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>16</mn><mn>25</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>8</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>8</mn><mn>25</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>20</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mfrac><mn>1</mn><mn>45</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi><mo>=</mo><mfrac><mn>28</mn><mn>45</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi><mo>=</mo><mfrac><mn>16</mn><mn>45</mn></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_12 Extraemos al azar una ficha de un dominó normal (28 fichas) y sumamos los puntos de sus dos mitades.

Calcula la probabilidad de que la suma de puntos sea 6.

                  P("Suma puntos es 6")={#1}

Utiliza punto (.) para valor decimal.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>7</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.041</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_13 Una fáfrica tiene tres máquinas que fabrican tornillos. La máquina A produce el 50% del total de los tornillos, la máquina B el 30% y la C el 20%. De la máquina A salen un 5% de tornilloos defectuosos, de la B un 4% y de la C un 2%.

Calcula la probabilidad de que un tornillo elegido al azar sea defectuoso.

                  P("Defectuoso")={#1}

Utiliza punto (.) para valor decimal.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>041</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.041</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_14 En un centro escolar los alumnos pueden optar por cursar como lengua extranjera inglés o francés. En un determinado curso, el 90% de los alumnos estudia inglés y el resto francés. El 30% de los que estudian inglés son chicos y de los que estudian francés son chicos el 40%. El elegido un alumno al azar, ¿cuál es la probabilidad de que sea chica?

                  P("Ser chica")={#1}

Utiliza punto (.) para valor decimal.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>69</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.69</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_15 Una clase está formada por 10 chicos y 10 chicas; la mitad de las chicas y la mitad de los chicos han elegido francés como asignatura optativa.

  1. ¿Cuál es la probabilidad de que una persona elegida al azar sea chico o estudie francés?
  2. ¿Y la probabilidad de que sea chica y no estudie francés?

                  P("Ser chico o estudie francés")={#1}

                  P("Ser chica y no estudie francés")={#2}

Utiliza punto (.) para valor decimal.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>75</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.75</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>25</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.25</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_16 En una clase en la que todos practican algún deporte, el 60% de los alumnos juega al fútbol o al baloncesto y el 10% practica ambos deportes. Si además hay un 60% que no juega al fútbol, cuál será la probabilidad de que escogido al azar un alumno de la clase:

  1. Juegue sólo al fútbol.
  2. Juegue sólo al baloncesto.
  3. Practique uno solo de los deportes.
  4. No juegue ni al fútbol ni al baloncesto.

                  P("Juegue sólo al fútbol")={#1}

                  P("Juegue sólo al baloncesto")={#2}

                  P("Practique uno solo de los deportes")={#3}

                  P("No juegue ni al fútbol ni al baloncesto")={#4}

Utiliza punto (.) para valor decimal.

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_17 En una ciudad, el 40% de la población tiene cabellos castaños, el 25% tiene ojos castaños y el 15% tiene cabellos y ojos castaños. Se escoge una persona al azar:

  1. Si tiene los cabellos castaños, ¿cuál es la probabilidad de que tenga también ojos castaños?
  2. Si tiene ojos castaños, ¿cuál es la probabilidad de que no tenga cabellos castaños?
  3. ¿Cuál es la probabilidad de que no tenga cabellos ni ojos castaños?

                  P("Si tiene cabello castaño también ojos castaños")={#1}

                  P("Si tiene ojos castaños no tenga cabellos castaños")={#2}

                  P("No tenga cabellos ni ojos castaños")={#3}

Utiliza punto (.) para valor decimal.

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>15</mn><mn>40</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>8</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>2</mn><mn>5</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_2 Tenemos una urna con siete bolas numeradas del 1 al 7. Realizamos el experimento, que consiste en sacar una bola de la urna, anotar el número y devolverla a la urna. Consideramos los siguientes sucesos: A=#A y B=#B. Determina los siguientes conjuntos:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»A«/mi»«mo largeop=¨true¨»§#8746;«/mo»«mi»B«/mi»«mo»=«/mo»«/mstyle»«/math»{#1}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8746;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#2}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8746;«/mo»«mi»B«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#3}   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«mi»B«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#4}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#5} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8745;«/mo»«mi»B«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#6}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfenced»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8746;«/mo»«mi»E«/mi»«/mrow»«/mfenced»«mo largeop=¨true¨»§#8745;«/mo»«mi»B«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#7}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfenced»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«mi»E«/mi»«/mrow»«/mfenced»«mo largeop=¨true¨»§#8745;«/mo»«mfenced»«mrow»«mi»B«/mi»«mo largeop=¨true¨»§#8746;«/mo»«mi»E«/mi»«/mrow»«/mfenced»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#8}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfenced»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8746;«/mo»«mi»B«/mi»«/mrow»«/mfenced»«mo largeop=¨true¨»§#8745;«/mo»«mfenced»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8746;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#9}   

                   

                                             

 

]]> 9.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mo>{</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mi>A</mi><mo>∪</mo><mi>B</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mi>A</mi><mo>∪</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mo>{</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>∪</mo><mi>B</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mi>A</mi><mo>∩</mo><mi>B</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi><mo>=</mo><mi>A</mi><mo>∩</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi><mo>=</mo><mo>{</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>∩</mo><mi>B</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol7</mi><mo>=</mo><mfenced><mrow><mi>A</mi><mo>∪</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>}</mo></mrow></mfenced><mo>∩</mo><mi>B</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol8</mi><mo>=</mo><mfenced><mrow><mi>A</mi><mo>∩</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>}</mo></mrow></mfenced><mo>∩</mo><mfenced><mrow><mi>B</mi><mo>∪</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol9</mi><mo>=</mo><mfenced><mrow><mo>{</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>∪</mo><mi>B</mi></mrow></mfenced><mo>∩</mo><mfenced><mrow><mo>{</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>∪</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>}</mo></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol7</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol8</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol9</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_4 Sean A y B dos cucesos aleatorios con:«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»A«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»B«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mrow»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«mi»B«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»4«/mn»«/mfrac»«/mrow»«/mrow»«/mstyle»«/math»

Hallar:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8746;«/mo»«mi»B«/mi»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#1}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#2}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#3}   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8745;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#4}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8746;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#5} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#6}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«mi»B«/mi»«mo largeop=¨true¨»§#8745;«/mo»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#7} 
]]> 7.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>7</mn><mn>12</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mfrac><mn>5</mn><mn>12</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi><mo>=</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi><mo>=</mo><mfrac><mn>1</mn><mn>12</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol7</mi><mo>=</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol7</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol8</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol9</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_5 En un experimento aleatorio sabemos que:«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mo»(«/mo»«mi»A«/mi»«mo»)«/mo»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»6«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»B«/mi»«mo»)«/mo»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/mrow»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«mi»B«/mi»«mo»)«/mo»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»2«/mn»«/mrow»«/mstyle»«/math»

Hallar:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#1} 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«mi»A«/mi»«mo»-«/mo»«mi»B«/mi»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#2}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8746;«/mo»«mi»B«/mi»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#3}   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«mo»-«/mo»«mi»A«/mi»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#4}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8746;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#5} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«menclose notation=¨top¨»«mi»A«/mi»«mo largeop=¨true¨»§#8746;«/mo»«mi»B«/mi»«/menclose»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#6}
 

Utiliza punto (.) para valor decimal.

]]> 6.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>9</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>1</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol7</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol8</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol9</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_6 En una bolsa hay 5 bolas numeradas del 1 al 5. ¿Cuál es la probabilidad de que, al sacar tres de ellas, las tres sean impares?

a) En el caso de que las extracciones son con reemplazamiento:

                  P("Tres impares")={#1}

b) En el caso de que las extracciones son sin reemplazamiento:

                  P("Tres impares")={#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>27</mn><mn>125</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>1</mn><mn>10</mn></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_7 Extraemos dos cartas de una baraja española. Calcula la probabilidad de obtener:

a) Dos ases:

                  P("Dos ases")={#1}

b) Ningún as:

                  P("Ningún as")={#2}

c) Algún as:

                  P("Algún as")={#3}

d) Sólo un as:

                  P("Sólo un as")={#4}

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>130</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>130</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>21</mn><mn>26</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>21</mn><mn>26</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>5</mn><mn>26</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>26</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mfrac><mn>12</mn><mn>65</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>12</mn><mn>65</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_8 Se lanzan tres monedas y se cuenta el número de caras que salen. Calcula la probabilidad de obtener:

a) Tres caras:

                  P("Tres caras")={#1}

b) Una cara:

                  P("Una cara")={#2}

c) Más de una cara:

                  P("Más de una cara")={#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>8</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>8</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>3</mn><mn>8</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>8</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_9 En un examen hay que elegir entre dos temas elegidos al azar entre 30. Un alumno ha estudiado sólo 12 temas. Halla la probabilidad de que:

a) El alumno haya estudiado los dos temas elegidos:

                  P("El alumno ha estudiado los dos temas")={#1}

b) El alumno sólo haya estudiado uno de los temas elegidos:

                  P("El alumno sólo ha estudiado uno de los temas")={#2}

c) El alumno no haya estudiado ninguno de los temas elegidos:

                  P("El alumno no ha estudiado ninguno de los temas")={#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>22</mn><mn>145</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>22</mn><mn>145</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>72</mn><mn>145</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>72</mn><mn>145</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>51</mn><mn>145</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>51</mn><mn>145</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> MATE CCSS II/Tema 1-Matrices Ariketa_1 Calcula los valores de a, b, c y d para que la siguiente igualdad sea cierta:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mfenced»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»c«/mi»«/mtd»«mtd»«mi»d«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mn»7«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«mi»d«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»+«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»5«/mn»«/mtd»«mtd»«mi»a«/mi»«mo»+«/mo»«mi»b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»c«/mi»«mo»+«/mo»«mi»d«/mi»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

a={#1}   b={#2}   c={#3}   d={#4}

]]> 4.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_10 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mi»A«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«msup»«mi»B«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A-1= #r1B-1=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>B</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_11_1 Calcula el rango de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»A«/mi»«mo mathsize=¨14px¨»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

rango de A  = {#1}

]]> 1.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_11_2 Calcula el rango de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»A«/mi»«mo mathsize=¨14px¨»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»4«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

rango de A  = {#1}

]]> 1.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_11_3 Calcula el rango de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»A«/mi»«mo mathsize=¨14px¨»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

rango de A  = {#1}

]]> 1.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_11_4 Calcula el rango de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»A«/mi»«mo mathsize=¨14px¨»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»5«/mn»«/mtd»«mtd»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»8«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»3«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»4«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»10«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»11«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»13«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

rango de A  = {#1}

]]> 1.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_12_1 Calcula el rango de la siguiente matriz en función del parametro "a":

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»A«/mi»«mo mathsize=¨14px¨»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»+«/mo»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

Si «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»=«/mo»«/math» {#1} entoces el rango de A  = {#2}

Si «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»§#8800;«/mo»«/math» {#3} entonces el rango de A = {#4}

]]> 4.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_12_2 Calcula el rango de la siguiente matriz en función del parametro "a":

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»A«/mi»«mo mathsize=¨14px¨»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»0«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»3«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi mathsize=¨14px¨»a«/mi»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»3«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

Si «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»=«/mo»«/math» {#1} entoces el rango de A  = {#2}

Si «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»§#8800;«/mo»«/math» {#3} entonces el rango de A = {#4}

]]> 4.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_12_3 Calcula el rango de la siguiente matriz en función del parametro "a":

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»A«/mi»«mo mathsize=¨14px¨»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»a«/mi»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mi mathsize=¨14px¨»a«/mi»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«/mtd»«mtd»«mn mathsize=¨14px¨»1«/mn»«/mtd»«mtd»«mi mathsize=¨14px¨»a«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 Introduce primero el valor ma´s pequeño obtenido.

Si «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»=«/mo»«/math» {#1} entoces el rango de A  = {#2}

Si «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»=«/mo»«/math» {#3} entonces el rango de A = {#4}

Si «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»§#8800;«/mo»«/math»{#5}  y «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»§#8800;«/mo»«/math» {#6} entonces el rango de A = {#7}

]]> 7.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_13_1 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mi»Y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfrac bevelled=¨true¨»«mfenced»«mrow»«mi»A«/mi»«mo»+«/mo»«mi»B«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/mfrac»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>+</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mn>2</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_13_2 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mi»Y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mfenced»«mrow»«mi»A«/mi»«mo»-«/mo»«mi»B«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_13_3 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mi»Y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mi»A«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_15 Resuelve la siguiente ecuación matricial  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»§#183;«/mo»«mi»X«/mi»«mo»-«/mo»«mi»B«/mi»«mo»+«/mo»«mi»C«/mi»«mo»=«/mo»«mn»0«/mn»«/math» , siendo

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 X= #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>*</mo><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_16 Calcula las matrices A y  B, sabiendo que son solución del siguiente sistema:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mn»2«/mn»«mi»A«/mi»«mo»+«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»5«/mn»«/mtd»«mtd»«mn»12«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»A«/mi»«mo»+«/mo»«mn»2«/mn»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»11«/mn»«/mtd»«mtd»«mn»25«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»20«/mn»«/mtd»«mtd»«mn»10«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A=#r1B=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>12</mn></mtd><mtd><mo>-</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>7</mn></mtd><mtd><mn>14</mn></mtd></mtr><mtr><mtd><mn>28</mn></mtd><mtd><mn>14</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>B</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_17 Dadas las matrices A y  B  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»

Calcula la matriz X, sabiendo que cumple la ecuación «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mn»3«/mn»«mi»X«/mi»«mo»-«/mo»«mn»2«/mn»«mi»A«/mi»«mo»=«/mo»«mn»5«/mn»«mi»B«/mi»«/mrow»«/mstyle»«/math»

Calcula la inversa de A.

 

]]> 1.0000000 0.3333333 0 0 X=#r1A-1=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>6</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mrow><mn>5</mn><mo>*</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>6</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>+</mo><mn>2</mn><mo>*</mo><mfenced><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mrow><mn>3</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>A</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_18 Resuelve la siguiente ecuación matricial  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»§#183;«/mo»«mi»X«/mi»«mo»=«/mo»«mi»B«/mi»«mo»§#183;«/mo»«mi»X«/mi»«mo»+«/mo»«mi»C«/mi»«/math» , siendo

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 X= #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mrow><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>*</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_19 Resuelve la siguiente ecuación matricial  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«mo»§#183;«/mo»«msup»«mi»A«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mi»B«/mi»«/math» , siendo

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«/mstyle»«/math»

Calcula el valor de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»A«/mi»«mn»17«/mn»«/msup»«/math»

]]> 1.0000000 0.3333333 0 0 X= #r1A17=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>*</mo><msup><mfenced><msup><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mn>2</mn></msup></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mn>17</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>A</mi><mn>17</mn></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_2_1 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»

Calcula A+B

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo> </mo><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>+</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2_2 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»

Calcula A-B-C

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo> </mo><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2_3 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»

Calcula 3A+5B-6C

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo> </mo><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>3</mn><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>+</mo><mn>5</mn><mo>*</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mn>6</mn><mo>*</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2_4 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»A«/mi»«mo»§#183;«/mo»«mi»B«/mi»«mo»-«/mo»«mi»B«/mi»«mo»§#183;«/mo»«mi»C«/mi»«/mrow»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo> </mo><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2_5 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mn»2«/mn»«mi»A«/mi»«mo»§#183;«/mo»«mi»B«/mi»«mo»+«/mo»«mn»3«/mn»«mi»A«/mi»«mo»§#183;«/mo»«mi»C«/mi»«mo»-«/mo»«mn»5«/mn»«mi»B«/mi»«mo»§#183;«/mo»«mi»C«/mi»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo> </mo><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>2</mn><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>+</mo><mn>3</mn><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mn>5</mn><mo>*</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_3_1 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»Y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»§#183;«/mo»«mi»B«/mi»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>5</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>5</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_3_2 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»Y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»B«/mi»«mo»§#183;«/mo»«mi»A«/mi»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>5</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>5</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_4_1 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»§#183;«/mo»«mi»B«/mi»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_4_2 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»C«/mi»«mo»§#183;«/mo»«mi»A«/mi»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_4_3 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»C«/mi»«mo»§#183;«/mo»«mi»B«/mi»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_4_4 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»C«/mi»«mo»§#183;«/mo»«mi»A«/mi»«mo»§#183;«/mo»«mi»B«/mi»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_1 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»+«/mo»«mi»B«/mi»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>+</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_10 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mi»D«/mi»«mi»t«/mi»«/msup»«mo»§#183;«/mo»«mi»D«/mi»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>T</mo></msup><mo>*</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_11 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»D«/mi»«mo»§#183;«/mo»«msup»«mi»D«/mi»«mi»t«/mi»«/msup»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>*</mo><msup><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>T</mo></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_2 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mn»3«/mn»«mi»A«/mi»«mo»-«/mo»«mn»4«/mn»«mi»B«/mi»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>3</mn><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mn>4</mn><mo>*</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_3 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»§#183;«/mo»«mi»B«/mi»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 No se puede <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>No se puede</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_string"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_4 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»§#183;«/mo»«mi»D«/mi»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_5 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»B«/mi»«mo»§#183;«/mo»«mi»C«/mi»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_6 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»C«/mi»«mo»§#183;«/mo»«mi»D«/mi»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 No se puede <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>No se puede</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_string"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_7 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mi»A«/mi»«mi»t«/mi»«/msup»«mo»§#183;«/mo»«mi»C«/mi»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 No se puede <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>No se puede</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_string"/><assertion name="equivalent_literal"><param name="usecase">false</param><param name="usespaces">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_8 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mi»D«/mi»«mi»t«/mi»«/msup»«mo»§#183;«/mo»«msup»«mi»A«/mi»«mi»t«/mi»«/msup»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>T</mo></msup><mo>*</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>T</mo></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5_9 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mi»B«/mi»«mi»t«/mi»«/msup»«mo»§#183;«/mo»«mi»A«/mi»«/mstyle»«/math»

Si no se puede calcular, escribe No se puede

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced><mo>T</mo></msup><mo>*</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_6 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»6«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mn»3«/mn»«msup»«mi»A«/mi»«mi»t«/mi»«/msup»«mo»-«/mo»«msup»«mi»B«/mi»«mn»2«/mn»«/msup»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>6</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>3</mn><mo>*</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced><mo>T</mo></msup><mo>-</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>6</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_7 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula si es posible  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mfenced»«mrow»«mi»B«/mi»«mo»§#183;«/mo»«mi»A«/mi»«/mrow»«/mfenced»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mfenced><mtable><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mrow><mfenced><mtable><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_8_1 Calcula las matrices X e Y , sabiendo que son solución del siguiente sistema:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mn»2«/mn»«mi»X«/mi»«mo»-«/mo»«mn»3«/mn»«mi»Y«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mi»X«/mi»«mo»-«/mo»«mi»Y«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»6«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 X= #r1Y= #r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>4</mn></mtd><mtd><mo>-</mo><mn>5</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mn>16</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mo>-</mo><mn>5</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>10</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>Y</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_8_2 Calcula las matrices X e Y , sabiendo que son solución del siguiente sistema:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»X«/mi»«mo»+«/mo»«mi»Y«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mi»X«/mi»«mo»-«/mo»«mi»Y«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»6«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 X=#r1Y=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mfrac><mn>3</mn><mn>2</mn></mfrac></mtd></mtr><mtr><mtd><mfrac><mn>3</mn><mn>2</mn></mfrac></mtd><mtd><mfrac><mn>1</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mn>2</mn></mfrac></mtd></mtr><mtr><mtd><mfrac><mn>3</mn><mn>2</mn></mfrac></mtd><mtd><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>Y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_8_3 Calcula las matrices X e Y , sabiendo que son solución del siguiente sistema:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mn»2«/mn»«mi»X«/mi»«mo»+«/mo»«mi»Y«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mi»X«/mi»«mo»+«/mo»«mn»2«/mn»«mi»Y«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 X= #r1Y= #r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mfrac><mn>5</mn><mn>3</mn></mfrac></mtd><mtd><mfrac><mn>2</mn><mn>3</mn></mfrac></mtd></mtr><mtr><mtd><mfrac><mn>2</mn><mn>3</mn></mfrac></mtd><mtd><mfrac><mrow><mo>-</mo><mn>8</mn></mrow><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mfrac></mtd><mtd><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mfrac></mtd></mtr><mtr><mtd><mfrac><mrow><mo>-</mo><mn>4</mn></mrow><mn>3</mn></mfrac></mtd><mtd><mfrac><mn>10</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>Y</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_9_1 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mfenced»«mrow»«mi»A«/mi»«mo»§#183;«/mo»«mi»B«/mi»«/mrow»«/mfenced»«mi»t«/mi»«/msup»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mo>T</mo></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_9_2 Dadas las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mfenced»«mrow»«mi»A«/mi»«mo»§#183;«/mo»«mi»B«/mi»«/mrow»«/mfenced»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS II/Tema 2-Determinantes Ariketa_1 Calcula el determinante de las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«/mtd»«mtd»«mi»a«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»D«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»a«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»E«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«msup»«mi»m«/mi»«mn»2«/mn»«/msup»«/mtd»«mtd»«mi»m«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»m«/mi»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A= #r1B= #r2C= #r3D= #r4E= #r5]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>r2</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr><mtr><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>r3</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mo>-</mo><mn>5</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mi>a</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mo>-</mo><mi>b</mi></mtd></mtr><mtr><mtd><mi>b</mi></mtd><mtd><mi>a</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r5</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><msup><mi>m</mi><mn>2</mn></msup></mtd><mtd><mi>m</mi></mtd></mtr><mtr><mtd><mi>m</mi></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="|" close="|"><mi>A</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mfenced open="|" close="|"><mi>B</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mfenced open="|" close="|"><mi>C</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mfenced open="|" close="|"><mi>D</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>4</mn><mspace linebreak="newline"/><mfenced open="|" close="|"><mi>E</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>5</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_10 Sabiendo que «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»c«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»d«/mi»«/mtd»«mtd»«mi»e«/mi»«/mtd»«mtd»«mi»f«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»g«/mi»«/mtd»«mtd»«mi»h«/mi»«/mtd»«mtd»«mi»i«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»=«/mo»«mn»3«/mn»«/mstyle»«/math», calcula el valor de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mo»-«/mo»«mi»i«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»g«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»h«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»f«/mi»«mo»+«/mo»«mi»c«/mi»«/mtd»«mtd»«mi»d«/mi»«mo»+«/mo»«mi»a«/mi»«/mtd»«mtd»«mi»e«/mi»«mo»+«/mo»«mi»b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»c«/mi»«/mtd»«mtd»«mn»3«/mn»«mi»a«/mi»«/mtd»«mtd»«mn»3«/mn»«mi»b«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Respueta  : {#1}

]]> 1.0000000 0.3333333 0 <question/> Ariketa_11 Sabiendo que «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mo»-«/mo»«mi»d«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»e«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»f«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mi»a«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»b«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»c«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mi»g«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»h«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»i«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»=«/mo»«mn»100«/mn»«/mstyle»«/math», calcula el valor de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»c«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»d«/mi»«/mtd»«mtd»«mi»e«/mi»«/mtd»«mtd»«mi»f«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»g«/mi»«/mtd»«mtd»«mi»h«/mi»«/mtd»«mtd»«mi»i«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Respueta  : {#1}

]]> 1.0000000 0.3333333 0 <question/> Ariketa_12_1 Resuelve la siguiente ecuación:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mi»x«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mi»x«/mi»«/mtd»«mtd»«mn»7«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»=«/mo»«mn»0«/mn»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 x= #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfenced close="|" open="|"><mtable><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">4</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">7</mn></mtd></mtr></mtable></mfenced><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_12_2 Resuelve la siguiente ecuación:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mi»x«/mi»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mi»x«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mi»x«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»=«/mo»«mn»2«/mn»«/mstyle»«/math»

Introduce las soluciones de menor a mayor valor.

]]> 1.0000000 0.3333333 0 0 x1= #r1x2= #r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfenced close="|" open="|"><mtable><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">4</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></mtd></mtr></mtable></mfenced><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>minimo</mi><mo>(</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><msub><mi>S</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><msub><mi>S</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_13 Calcula el siguiente determinante en función de a, b y c:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»c«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mi»b«/mi»«mo»+«/mo»«mn»2«/mn»«/mtd»«mtd»«mi»c«/mi»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«mo»+«/mo»«mn»1«/mn»«/mtd»«mtd»«mi»b«/mi»«mo»-«/mo»«mn»3«/mn»«/mtd»«mtd»«mi»c«/mi»«mo»+«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd></mtr><mtr><mtd><mi>a</mi><mo>-</mo><mn>1</mn></mtd><mtd><mi>b</mi><mo>+</mo><mn>2</mn></mtd><mtd><mi>c</mi><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>a</mi><mo>+</mo><mn>1</mn></mtd><mtd><mi>b</mi><mo>-</mo><mn>3</mn></mtd><mtd><mi>c</mi><mo>+</mo><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="|" close="|"><mi>A</mi></mfenced><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_14_1 Calcula la inversa de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A-1=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_14_2 Calcula la inversa de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced»«mtable»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A-1=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_14_3 Calcula la inversa de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A-1=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_14_4 Calcula la inversa de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A-1=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_15 Dada la matriz «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math» calcular su matriz inversa y «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«msup»«mi»A«/mi»«mn»5«/mn»«/msup»«/mstyle»«/math».

]]> 1.0000000 0.3333333 0 0 A-1=#r1A5=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mn>5</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>A</mi><mn>5</mn></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_18 Resuelve la siguiente ecuación:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mi»x«/mi»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«mi»x«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»8«/mn»«/mtd»«mtd»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»=«/mo»«mn»67«/mn»«/mstyle»«/math»

Introduce las soluciones de menor a mayor valor.

]]> 1.0000000 0.3333333 0 0 x1= #r1x2= #r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfenced close="|" open="|"><mtable><mtr><mtd><mi>x</mi></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>2</mn><mo>*</mo><mi>x</mi></mtd></mtr><mtr><mtd><mn>8</mn></mtd><mtd><mi>x</mi><mo>-</mo><mn>1</mn></mtd><mtd><mn>5</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>=</mo><mn>67</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>minimo</mi><mo>(</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><msub><mi>S</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><msub><mi>S</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_2_1 Calcula el determinante de las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»4«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A= #r1B= #r2C= #r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mfenced close="|" open="|" style="font-family:SansSerif;font-size:14px;font-weight:bold"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>r2</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>r3</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>4</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="|" close="|"><mi>A</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mfenced open="|" close="|"><mi>B</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mfenced open="|" close="|"><mi>C</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_2_2 Calcula el determinante de las siguientes matrices:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mi»a«/mi»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mi»a«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»m«/mi»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»3«/mn»«/mtd»«mtd»«mi»m«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»C«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»m«/mi»«mo»+«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mi»m«/mi»«mo»+«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mi»m«/mi»«mo»+«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A= #r1B= #r2C= #r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo><mfenced close="|" open="|" style="font-family:SansSerif;font-size:14px;font-weight:bold"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mi>a</mi></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mi>a</mi></mtd></mtr></mtable></mfenced><mo style="font-family:SansSerif;font-size:14px;font-weight:bold"> </mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>r2</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mi>m</mi></mtd><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mi>m</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>r3</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mi>m</mi><mo>+</mo><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mi>m</mi><mo>+</mo><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mi>m</mi><mo>+</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="|" close="|"><mi>A</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mfenced open="|" close="|"><mi>B</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mfenced open="|" close="|"><mi>C</mi></mfenced><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_20_1 Dada la matriz «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»7«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»m«/mi»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Para qué valores de "m" existirá la inversa de A?

Para los valores {#1}   a  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>7</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mi>x</mi></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced><mo>=</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_20_2 Dada la matriz «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»4«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»7«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»m«/mi»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»  , calcular la matriz inversa para «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»m«/mi»«mo»=«/mo»«mn»1«/mn»«/mstyle»«/math».

]]> 1.0000000 0.3333333 0 0 A-1=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>a</mi><mo>≠</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>7</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_22_1 Dada la matriz «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»m«/mi»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mi»m«/mi»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Para qué valores de "m"  no tiene inversala matriz  A?

Introduce los valores de menor a mayor

Para los valores {#1}   a  {#2} y {#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mi>m</mi></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mi>m</mi></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>=</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>minimo</mi><mo>(</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>m</mi><mo>)</mo><mo>,</mo><msub><mi>S</mi><mn>2</mn></msub><mo>(</mo><mi>m</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>m</mi><mo>)</mo><mo>,</mo><msub><mi>S</mi><mn>2</mn></msub><mo>(</mo><mi>m</mi><mo>)</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_22_2 Dada la matriz «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»m«/mi»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mi»m«/mi»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»  , calcular la matriz inversa para «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»m«/mi»«mo»=«/mo»«mn»2«/mn»«/mstyle»«/math».

]]> 1.0000000 0.3333333 0 0 A-1=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_23_1 Dada la matriz «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mi»m«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mi»m«/mi»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Para qué valores de "m"  no tiene inversala matriz  A?

Introduce los valores de menor a mayor

Para los valores {#1}   a  {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">m</mi></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">m</mi></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn></mtd></mtr></mtable></mfenced><mo>=</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>m</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_23_2 Dada la matriz «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn style=¨font-family:SansSerif¨»1«/mn»«/mtd»«mtd»«mn style=¨font-family:SansSerif¨»1«/mn»«/mtd»«mtd»«mi style=¨font-family:SansSerif¨»m«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn style=¨font-family:SansSerif¨»0«/mn»«/mtd»«mtd»«mo style=¨font-family:SansSerif¨»-«/mo»«mn style=¨font-family:SansSerif¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo style=¨font-family:SansSerif¨»-«/mo»«mi style=¨font-family:SansSerif¨»m«/mi»«/mtd»«mtd»«mo style=¨font-family:SansSerif¨»-«/mo»«mn style=¨font-family:SansSerif¨»1«/mn»«/mtd»«mtd»«mn style=¨font-family:SansSerif¨»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»  , siendo «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»m«/mi»«mo»=«/mo»«mn»2«/mn»«/mstyle»«/math» ,calcular, si es posible, la matriz X para que se verifique la siguiente igualdad. Calcula antes la inversa de A.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»X«/mi»«mo»§#183;«/mo»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A-1= #r2X= #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>*</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msup><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>X</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_24 Dada la matriz «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math» :

  • Hallar la matriz inversa de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»A«/mi»«mo»-«/mo»«mi»I«/mi»«/mrow»«/mstyle»«/math», siendo I la matriz identidad de orden 2.
  • Hallar la matrixz B tal que  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»+«/mo»«mi»B«/mi»«mo»=«/mo»«mi»A«/mi»«mo»§#183;«/mo»«mi»B«/mi»«/mstyle»«/math»

 

]]> 1.0000000 0.3333333 0 0 A-I -1= #r1B= #r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfenced><msup><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced><mo>-</mo><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup></mfenced><mo>*</mo><mfenced><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mfenced><mrow><mi>A</mi><mo>-</mo><mi>I</mi><mo>&#160;</mo></mrow></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>B</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_4 Calcula el siguiente determinante en función de a, b y c:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»a«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«mo»+«/mo»«mi»b«/mi»«/mtd»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»a«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»a«/mi»«mo»+«/mo»«mi»c«/mi»«/mtd»«mtd»«mi»a«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 A=#r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">c</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="|" close="|"><mi>A</mi></mfenced><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_5_1 Dada la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»a«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula el menor complementario de los elementos a11 , a23 , a32 , a12

]]> 1.0000000 0.3333333 0 0 α11= #r1α23= #r2α32= #r3α12= #r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>r2</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>r3</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>3</mn><mo>,</mo><mn>2</mn></mrow></mfenced></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>&#945;</mi><mn>11</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>&#945;</mi><mn>23</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><msub><mi>&#945;</mi><mn>32</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><msub><mi>&#945;</mi><mn>12</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_5_2 Dada la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula el menor complementario de los elementos a11 , a12

]]> 1.0000000 0.3333333 0 0 α11= #r1α12= #r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>&#945;</mi><mn>11</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>&#945;</mi><mn>12</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_5_3 Dada la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»c«/mi»«/mtd»«mtd»«mi»d«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»c«/mi»«/mtd»«mtd»«mi»d«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula el menor complementario de los elementos a11 , a23 , a32 , a12

]]> 1.0000000 0.3333333 0 0 α11= #r1α23= #r2α32= #r3α12= #r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>r2</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>r3</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mn>3</mn><mo>,</mo><mn>2</mn></mrow></mfenced></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>&#945;</mi><mn>11</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>&#945;</mi><mn>23</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><msub><mi>&#945;</mi><mn>32</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><msub><mi>&#945;</mi><mn>12</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_5_4 Dada la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»a«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula el adjunto de los elementos a11 , a23 , a32 , a12

]]> 1.0000000 0.3333333 0 0 A11= #r1A23= #r2A32= #r3A12= #r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>r2</mi><mo>=</mo><mo>-</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>r3</mi><mo>=</mo><mo>-</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>3</mn><mo>,</mo><mn>2</mn></mrow></mfenced></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mo>-</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>A</mi><mn>11</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>A</mi><mn>23</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><msub><mi>A</mi><mn>32</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><msub><mi>A</mi><mn>12</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_5_5 Dada la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula el adjunto de los elementos a11 , a12

]]> 1.0000000 0.3333333 0 0 A11= #r1A12= #r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mo>-</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>A</mi><mn>11</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>A</mi><mn>12</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_5_6 Dada la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»c«/mi»«/mtd»«mtd»«mi»d«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mo»-«/mo»«mi»c«/mi»«/mtd»«mtd»«mi»d«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Calcula el adjunto de los elementos a11 , a23 , a32 , a12

]]> 1.0000000 0.3333333 0 0 A11= #r1A23= #r2A32= #r3A12= #r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>r2</mi><mo>=</mo><mo>-</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>r3</mi><mo>=</mo><mo>-</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mn>3</mn><mo>,</mo><mn>2</mn></mrow></mfenced></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mo>-</mo><mi>menor</mi><mfenced><mrow><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mi>c</mi></mtd><mtd><mi>d</mi></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd><mtd><mi>b</mi></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>A</mi><mn>11</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>A</mi><mn>23</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><msub><mi>A</mi><mn>32</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><msub><mi>A</mi><mn>12</mn></msub><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_7_1 Calcular la matriz adjunta de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 Aadj = #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mrow><mi>matriz_adjunta</mi><mfenced><mtable><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">4</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mo>T</mo></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mi>a</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">j</mi></mrow></msup><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_7_2 Calcular la matriz adjunta de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 Aadj = #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mrow><mi>matriz_adjunta</mi><mfenced><mtable><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">4</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mo>T</mo></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mi>a</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">j</mi></mrow></msup><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_7_3 Calcular la matriz adjunta de la siguiente matriz:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»A«/mi»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mi»c«/mi»«/mtd»«mtd»«mi»b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mi»a«/mi»«/mtd»«mtd»«mi»c«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mi»b«/mi»«/mtd»«mtd»«mi»c«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 Aadj = #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mrow><mi>matriz_adjunta</mi><mfenced><mtable><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">c</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">a</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">c</mi></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">b</mi></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">c</mi></mtd></mtr></mtable></mfenced></mrow></mfenced><mo>T</mo></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mrow><mi>a</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">j</mi></mrow></msup><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_8 Sabiendo que «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mfenced open=¨|¨ close=¨|¨»«mi»A«/mi»«/mfenced»«mo»=«/mo»«mn»5«/mn»«/mrow»«/mstyle»«/math» y que A es una matriz de orden 2,¿cuánto vale «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mrow»«mn»3«/mn»«mi»A«/mi»«/mrow»«/mfenced»«/mstyle»«/math»? {#1}

Sea B la matriz inversa de A, y «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mi»A«/mi»«/mfenced»«mo»=«/mo»«mn»3«/mn»«/mstyle»«/math». ¿Cuánto vale el determinante de B?  {#2}

]]> 2.0000000 0.3333333 0 <question/> Ariketa_9_1 Calcula el siguiente determinante:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«/mtd»«mtd»«mn»0«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«mtd»«mn»6«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">0</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">5</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">6</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mtd></mtr><mtr><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">3</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">2</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_9_2 Calcula el siguiente determinante:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mi»x«/mi»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mi»x«/mi»«/mtd»«mtd»«mn»1«/mn»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mi»x«/mi»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mi»x«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></mtd><mtd><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mo style="font-family:SansSerif;font-size:14px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:14px;font-weight:bold">1</mn></mtd><mtd><mi style="font-family:SansSerif;font-size:14px;font-weight:bold">x</mi></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_9_3 Calcula el determinante de la siguiente matriz :

#det

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>det</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced close="|" open="|"><mi>det</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>708</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS II/Tema 3-Sistemas de ecuaciones Ariketa_1_1 Discute y resuelve los siguientes sistemas, utilizando el método de Gauss:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»-«/mo»«mi»z«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mrow»«/mstyle»«/math»

Rango(A)= {#1} {#2} Rango(A*)= {#3} {#4} nº de incognitas

SISTEMA {#5}

Solución: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math» {#6} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»{#7} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#8}

]]> 8.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>-</mo><mi>z</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>-</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_1_2 Discute y resuelve los siguientes sistemas, utilizando el método de Gauss:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«mi»y«/mi»«mo»+«/mo»«mn»2«/mn»«mi»z«/mi»«mo»=«/mo»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

Rango(A)= {#1} {#2} Rango(A*)= {#3} {#4} nº de incognitas

SISTEMA {#5}

Solución: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math» {#6} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»{#7} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#8}

]]> 8.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>3</mn></mtd></mtr><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>4</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mn>4</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>5</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>5</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>*</mo><mi>z</mi><mo>+</mo><mfrac><mn>7</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>*</mo><mi>z</mi><mo>+</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_1_3 Discute y resuelve los siguientes sistemas, utilizando el método de Gauss:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

Rango(A)= {#1} {#2} Rango(A*)= {#3} {#4} nº de incognitas

SISTEMA {#5}

Solución: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math» {#6} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»{#7} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#8}

]]> 8.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_10 Dos amigos invierten 20.000 € cada uno. El primero coloca una cantidad A al 4% de interés, una cantidad B al 5% y el resto al 6%. El otro invierte la misma cantidad A al 5%, la B al 6% y el resto al 4%.Determina las cantidades A, B y C sabiendo que el primero obtiene unos intereses de 1050 € y el segundo de 950 €.

]]> 1.0000000 0.3333333 0 0 Cantidad-A=#x1Cantidad-B=#y1 Cantidad-C=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>20000</mn></mtd></mtr><mtr><mtd><mn>0</mn><mo>.</mo><mn>04</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>05</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>06</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>1050</mn></mtd></mtr><mtr><mtd><mn>0</mn><mo>.</mo><mn>05</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>06</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>04</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>950</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5000.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5000.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10000.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi mathvariant="normal">d</mi><mo>-</mo><mi>A</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>C</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi mathvariant="normal">d</mi><mo>-</mo><mi>B</mi><mo>=</mo><mo>#</mo><mi>y</mi><mn>1</mn><mo>&#160;</mo><mspace linebreak="newline"/><mi>C</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi mathvariant="normal">d</mi><mo>-</mo><mi>C</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_11 Una tienda ha vendido 600 ejemplares de un videojuego por un total de 6.384 €. El precio original era de 12 €, pero también ha vendido copias defectuosas con descuento del 30% y del 40%. Sabiendo que el número de copias defectuosas vendidas fue la mitad del de copias en buen estado, calcula a cuántas copias se le aplicó el 30% de descuento.

]]> 1.0000000 0.3333333 0 0 Copias-a-las-que-se-le-aplicó-30%-descuento=#x1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>600</mn></mtd></mtr><mtr><mtd><mn>12</mn><mo>*</mo><mn>0</mn><mo>.</mo><mn>7</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>12</mn><mo>*</mo><mn>0</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>12</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>6384</mn></mtd></mtr><mtr><mtd><mi>z</mi><mo>=</mo><mn>2</mn><mo>*</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mi>y</mi></mrow></mfenced></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>120.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>80.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>400.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mi>o</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>a</mi><mi>s</mi><mo>-</mo><mi>a</mi><mo>-</mo><mi>l</mi><mi>a</mi><mi>s</mi><mo>-</mo><mi>q</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>s</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>a</mi><mi>p</mi><mi>l</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi>&#243;</mi><mo>-</mo><mn>30</mn><mo>%</mo><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>c</mi><mi>u</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa_12 Un cajero automático contiene 95 billetes de 10, 20 y 50 € y un total de 2000 €. Si el número de billetes de 10 € es el doble que el número de billetes de 20 €, averigua cuántos billetes hay de cada tipo.

]]> 1.0000000 0.3333333 0 0 Billetes-de-10€=#x1Billetes-de-20€=#y1 Billetes-de-50€=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>95</mn></mtd></mtr><mtr><mtd><mn>10</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>20</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>50</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>2000</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>y</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>50</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mi mathvariant="normal">i</mi><mi>l</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mn>10</mn><mo>&#8364;</mo><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>B</mi><mi mathvariant="normal">i</mi><mi>l</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mn>20</mn><mo>&#8364;</mo><mo>=</mo><mo>#</mo><mi>y</mi><mn>1</mn><mo>&#160;</mo><mspace linebreak="newline"/><mi>B</mi><mi mathvariant="normal">i</mi><mi>l</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mn>50</mn><mo>&#8364;</mo><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_13 Encontrar un número de tres cifras que verifique las siguientes condiciones:

  • La suma de sus cifras es 24.
  • Si permutamos la cifra de unidad con la cifra de decena, el número obtenido es nueve unidades menor.
  • Si permutamos la cifra de decena con la cifra de centena, el número obtenido es 90 unidades menor.
]]> 1.0000000 0.3333333 0 0 El-número-pedido-es=#n]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>24</mn></mtd></mtr><mtr><mtd><mn>100</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>10</mn><mo>*</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>100</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>10</mn><mo>*</mo><mi>z</mi><mo>+</mo><mi>y</mi><mo>+</mo><mn>9</mn></mtd></mtr><mtr><mtd><mn>100</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>10</mn><mo>*</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>100</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>10</mn><mo>*</mo><mi>x</mi><mo>+</mo><mi>z</mi><mo>+</mo><mn>90</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mn>100</mn><mo>*</mo><mi>x1</mi><mo>+</mo><mn>10</mn><mo>*</mo><mi>y1</mi><mo>+</mo><mi>z1</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>987</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mi>l</mi><mo>-</mo><mi>n</mi><mi>&#250;</mi><mi>m</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>o</mi><mo>-</mo><mi>p</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>o</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>n</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_14 Calcular el valor de  m para que el siguiente sistema tenga soluciones distintas de la trivial

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»m«/mi»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»m«/mi»«mi»x«/mi»«mo»+«/mo»«mi»m«/mi»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

 Calcula las soluciones propias del sistema para los valores de m que has encontrado.

m = {#1}

Sol: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#2}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»  {#3}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#4}

 

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfenced close="|" open="|"><mtable><mtr><mtd><mi>x</mi></mtd><mtd><mn>2</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mi>x</mi></mtd><mtd><mi>x</mi></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mo>=</mo><mn>0</mn><mo>,</mo><reals/></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mi>y</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>e1</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>e1</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><msub><mi>e1</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mi>y</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_15_1 Discutir y resolver en función del parámetro   m  el siguiente sistema

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»m«/mi»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»+«/mo»«mi»m«/mi»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

Empieza con el valor menor de m.

 Si m = {#1}, entonces , Rango(A)= {#2} {#3} Rango(A*)= {#4} {#5} nº de incognitas

SISTEMA {#6}

Sol: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#7}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»  {#8}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#9}

 Si m = {#10}, entonces , Rango(A)= {#11} {#12} Rango(A*)= {#13} {#14} nº de incognitas

SISTEMA {#15}

Sol: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#16}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»  {#17}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#18}

Si m «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo»§#8800;«/mo»«/mstyle»«/math» {#19}  y  m «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo»§#8800;«/mo»«/mstyle»«/math» {#20} , entonces , Rango(A)= {#21} {#22} Rango(A*)= {#23} {#24} nº de incognitas

SISTEMA {#25}

Sol: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#26}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»  {#27}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#28}

]]> 28.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfenced close="|" open="|"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mi>x</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mi>x</mi></mtd></mtr></mtable></mfenced><mo>=</mo><mn>0</mn><mo>,</mo><reals/></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mi>minimo</mi><mo>(</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><msub><mi>r</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><msub><mi>r</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mi>a</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mi>a</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mi>y</mi><mo>+</mo><mi>a</mi><mo>*</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>=</mo><msub><mi>e</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><msub><mi>e</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><msub><mi>e</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>sol1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mi>a</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d22</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mi>a</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mi>y</mi><mo>+</mo><mi>a</mi><mo>*</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>e1</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>e1</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><msub><mi>e1</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>sol2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mi>a</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d33</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mi>a</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd><mtd><mi>a</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mi>y</mi><mo>+</mo><mi>a</mi><mo>*</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi><mo>=</mo><msub><mi>e3</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b3</mi><mo>=</mo><msub><mi>e3</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><msub><mi>e3</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>*</mo><mi>z</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>5</mn><mn>3</mn></mfrac><mo>*</mo><mi>z</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d33</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mi>z</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_15_2 Discutir y resolver en función del parámetro   m  el siguiente sistema

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»-«/mo»«mn»3«/mn»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«mi»y«/mi»«mo»-«/mo»«mi»m«/mi»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

 Si m = {#1}, entonces , Rango(A)= {#2} {#3} Rango(A*)= {#4} {#5} nº de incognitas

SISTEMA {#6}

Sol: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#7}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»  {#8}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#9}

Si m «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo»§#8800;«/mo»«/mstyle»«/math» {#10}, entonces , Rango(A)= {#11} {#12} Rango(A*)= {#13} {#14} nº de incognitas

SISTEMA {#15}

Sol: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#16}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»  {#17}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#18}

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>5</mn></mfrac><mo>*</mo><mi>z</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>7</mn><mn>5</mn></mfrac><mo>*</mo><mi>z</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_16 Antonio tiene un año más que Juan, y Luis, uno más que Ángel. Determina la edad de los cuatro sabiendo que la de Luis es la suma de la tercera parte más la séptima parte de la de Antonio y que la de Ángel es la suma de la cuarta parte más la quinta parte de la de Juan.

]]> 1.0000000 0.3333333 0 0 Edad-de-Antonio=#x1Edad-de-Angel=#y1 Edad-de-Juan=#z1Edad-de-Luis=#t1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mi>z</mi><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>t</mi><mo>=</mo><mi>y</mi><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>t</mi><mo>=</mo><mfenced><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>7</mn></mfrac></mrow></mfenced><mo>*</mo><mi>x</mi></mtd></mtr><mtr><mtd><mi>y</mi><mo>=</mo><mfenced><mrow><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>5</mn></mfrac></mrow></mfenced><mo>*</mo><mi>z</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>21</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi mathvariant="normal">d</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>A</mi><mi>n</mi><mi>t</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>E</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi mathvariant="normal">d</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>A</mi><mi>n</mi><mi>g</mi><mi mathvariant="normal">e</mi><mi>l</mi><mo>=</mo><mo>#</mo><mi>y</mi><mn>1</mn><mo>&#160;</mo><mspace linebreak="newline"/><mi>E</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi mathvariant="normal">d</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>J</mi><mi>u</mi><mi>a</mi><mi>n</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn><mspace linebreak="newline"/><mi>E</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi mathvariant="normal">d</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>L</mi><mi>u</mi><mi mathvariant="normal">i</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>t</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_17 Por la compra de 8 kg de café natural y 5 kg de café torrefacto se han pagado 66 €. Hallar el precio del kilo de cada tipo de café, sabiendo que si se mezclan a partes iguales, el kilo sale a 5 €.

]]> 1.0000000 0.3333333 0 0 Precio-del-kilo-de-cafe-natural=#x1Precio-del-kilo-de-cafe-torrefacto=#y1 ]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>10</mn></mtd></mtr><mtr><mtd><mn>8</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>66</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>16</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>14</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>l</mi><mo>-</mo><mi>k</mi><mi mathvariant="normal">i</mi><mi>l</mi><mi>o</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>c</mi><mi>a</mi><mi>f</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>n</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi>r</mi><mi>a</mi><mi>l</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>P</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>l</mi><mo>-</mo><mi>k</mi><mi mathvariant="normal">i</mi><mi>l</mi><mi>o</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>c</mi><mi>a</mi><mi>f</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>t</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>f</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>y</mi><mn>1</mn><mo>&#160;</mo></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_18 Se dispone de tres cajas A, B y C con monedas de 1 euro. Se sabe que en total hay 36 euros. El número de monedas de A excede en dos a la suma de las monedas de las otras dos cajas. Si se traslada una moneda de la caja B a la caja A, esta tendrá el doble de monedas que B. Averigua cuántas monedas había en cada caja.

]]> 1.0000000 0.3333333 0 0 Monedas-en-la-caja-A=#x1Monedas-en-la-caja-B=#y1 Monedas-en-la-caja-C=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>36</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>=</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>+</mo><mn>2</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mn>1</mn><mo>=</mo><mn>2</mn><mo>*</mo><mfenced><mrow><mi>y</mi><mo>-</mo><mn>1</mn></mrow></mfenced></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>19</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>11</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi>s</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi>c</mi><mi>a</mi><mi mathvariant="normal">j</mi><mi>a</mi><mo>-</mo><mi>A</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>M</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi>s</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi>c</mi><mi>a</mi><mi mathvariant="normal">j</mi><mi>a</mi><mo>-</mo><mi>B</mi><mo>=</mo><mo>#</mo><mi>y</mi><mn>1</mn><mo>&#160;</mo><mspace linebreak="newline"/><mi>M</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi>s</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>n</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi>c</mi><mi>a</mi><mi mathvariant="normal">j</mi><mi>a</mi><mo>-</mo><mi>C</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_19 Resolver el siguiente sistema lineal (utiliza el método que quieras):

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mtable align=¨center¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mi»y«/mi»«mo»-«/mo»«mi»z«/mi»«mo»=«/mo»«mo»-«/mo»«mn»9«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»-«/mo»«mn»5«/mn»«mi»z«/mi»«mo»=«/mo»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 x= #x1y= #y1z=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>6</mn></mtd></mtr><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn><mo>*</mo><mi>y</mi><mo>-</mo><mi>z</mi><mo>=</mo><mo>-</mo><mn>9</mn></mtd></mtr><mtr><mtd><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>-</mo><mn>5</mn><mo>*</mo><mi>z</mi><mo>=</mo><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>y</mi><mn>1</mn><mspace linebreak="newline"/><mi>z</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_2 Calcular el valor de  m para que el siguiente sistema sea incompatible:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»8«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»10«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»+«/mo»«mi»m«/mi»«mi»z«/mi»«mo»=«/mo»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

m = {#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>2</mn></mtd><mtd><mi>x</mi></mtd></mtr></mtable></mfenced><mo>=</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_20_1 Discute el  siguiente sistema:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»-«/mo»«mn»2«/mn»«mi»z«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»+«/mo»«mn»4«/mn»«mi»z«/mi»«mo»=«/mo»«mn»7«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»9«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

Rango(A)= {#1} {#2} Rango(A*)= {#3} {#4} nº de incognitas

SISTEMA {#5}

 

Solución: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#6} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»§#160;«/mo»«mo»=«/mo»«/mstyle»«/math» {#7} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»§#160;«/mo»«mo»=«/mo»«/mstyle»«/math»{#8}

]]> 8.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>-</mo><mn>2</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mi>y</mi><mo>+</mo><mn>4</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>7</mn></mtd></mtr><mtr><mtd><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>9</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>*</mo><mi>z</mi><mo>+</mo><mfrac><mn>8</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>8</mn><mn>3</mn></mfrac><mo>*</mo><mi>z</mi><mo>-</mo><mfrac><mn>5</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_20_2 Discute y resuelve los siguientes sistemas:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mn»11«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

Rango(A)= {#1} {#2} Rango(A*)= {#3} {#4} nº de incognitas

SISTEMA {#5}

]]> 5.0000000 0.3333333 0 <question><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_21 Resolver el siguiente sistema lineal (utiliza el método que quieras):

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mtable align=¨center¨»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«mi»y«/mi»«mo»+«/mo»«mn»4«/mn»«mi»z«/mi»«mo»=«/mo»«mn»8«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mn»2«/mn»«mi»z«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»7«/mn»«mi»x«/mi»«mo»-«/mo»«mn»8«/mn»«mi»y«/mi»«mo»+«/mo»«mn»8«/mn»«mi»z«/mi»«mo»=«/mo»«mn»22«/mn»«/mtd»«/mtr»«/mtable»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> 1.0000000 0.3333333 0 0 x= #x1y= #y1z=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>4</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>8</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>7</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>8</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>8</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>22</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>y</mi><mn>1</mn><mspace linebreak="newline"/><mi>z</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_22 Juan y Pedro invierten 12000 euros cada uno. Juan coloca una cantidad A al 4% de interés (anual), una cantidad B al 5%, y el resto C al 6%, mientras que Pedro invierte la cantidad A al 5%, la B al 6%, y la C al 4%. Hallar las cantidades A, B y C, sabiendo que Juan obtiene unos intereses anuales de 630 euros, y Pedro obtiene 570 euros.

]]> 1.0000000 0.3333333 0 0 Cantidad-A=#x1Cantidad-B=#y1 Cantidad-C=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>12000</mn></mtd></mtr><mtr><mtd><mn>0</mn><mo>.</mo><mn>04</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>05</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>06</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>630</mn></mtd></mtr><mtr><mtd><mn>0</mn><mo>.</mo><mn>05</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>06</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>04</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>570</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3000.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3000.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6000.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi mathvariant="normal">d</mi><mo>-</mo><mi>A</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>C</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi mathvariant="normal">d</mi><mo>-</mo><mi>B</mi><mo>=</mo><mo>#</mo><mi>y</mi><mn>1</mn><mo>&#160;</mo><mspace linebreak="newline"/><mi>C</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi mathvariant="normal">d</mi><mo>-</mo><mi>C</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_23 En la fabricación de cierta marca de chocolate se emplea leche, caco y almendras, siendo la proporción de leche doble que la de cacao y almendras juntas. Los precios por cada kilogramo de los ingredientes son: leche, 0,8 euros; cacao, 4 euros; almendras, 13 euros. En un día se fabrican 9000 kilos de ese chocolate, con un coste total de 25800 euros. ¿Cuántos kg se utilizan de cada ingrediente?.

]]> 1.0000000 0.3333333 0 0 Kilogramos-(litros)-de-leche=#x1Kilogramos-de-cacao=#y1 Kilogramos-de-almendras=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>9000</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn><mo>*</mo><mfenced><mrow><mi>y</mi><mo>+</mo><mi>z</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mn>0</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>13</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>25800</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6000.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2000.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1000.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>K</mi><mi mathvariant="normal">i</mi><mi>log</mi><mi>r</mi><mi>a</mi><mi>m</mi><mi>o</mi><mi>s</mi><mo>-</mo><mo>(</mo><mi>l</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>r</mi><mi>o</mi><mi>s</mi><mo>)</mo><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>l</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>h</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>K</mi><mi mathvariant="normal">i</mi><mi>log</mi><mi>r</mi><mi>a</mi><mi>m</mi><mi>o</mi><mi>s</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>c</mi><mi>a</mi><mi>c</mi><mi>a</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>y</mi><mn>1</mn><mo>&#160;</mo><mspace linebreak="newline"/><mi>K</mi><mi mathvariant="normal">i</mi><mi>log</mi><mi>r</mi><mi>a</mi><mi>m</mi><mi>o</mi><mi>s</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>a</mi><mi>l</mi><mi>m</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi mathvariant="normal">d</mi><mi>r</mi><mi>a</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_24 Una empresa dispone de 27200 € para actividades de formación de sus cien empleados. Después de estudiar las necesidades de los empleados, se ha decidido organizar tres cursos: A, B y C. el coste por persona para el curso A es de 400 €, para el curso B es de 160 €, y de 200 € para el C. Si la cantidad que se dedica al curso A es cinco veces mayor que la correspondiente al B, ¿cuántos empleados siguen cada curso?.

]]> 1.0000000 0.3333333 0 0 Nº-empleados-que-siguen-el-curso-A=#x1Nº-empleados-que-siguen-el-curso-B=#y1 Nº-empleados-que-siguen-el-curso-C=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>100</mn></mtd></mtr><mtr><mtd><mn>400</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>160</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>200</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>27200</mn></mtd></mtr><mtr><mtd><mn>400</mn><mo>*</mo><mi>x</mi><mo>=</mo><mn>5</mn><mo>*</mo><mn>160</mn><mo>*</mo><mi>y</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>40</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>40</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>N</mi><mo>&#186;</mo><mo>-</mo><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi mathvariant="normal">d</mi><mi>o</mi><mi>s</mi><mo>-</mo><mi>q</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>s</mi><mi mathvariant="normal">i</mi><mi>g</mi><mi>u</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>l</mi><mo>-</mo><mi>c</mi><mi>u</mi><mi>r</mi><mi>s</mi><mi>o</mi><mo>-</mo><mi>A</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>N</mi><mo>&#186;</mo><mo>-</mo><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi mathvariant="normal">d</mi><mi>o</mi><mi>s</mi><mo>-</mo><mi>q</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>s</mi><mi mathvariant="normal">i</mi><mi>g</mi><mi>u</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>l</mi><mo>-</mo><mi>c</mi><mi>u</mi><mi>r</mi><mi>s</mi><mi>o</mi><mo>-</mo><mi>B</mi><mo>=</mo><mo>#</mo><mi>y</mi><mn>1</mn><mo>&#160;</mo><mspace linebreak="newline"/><mi>N</mi><mo>&#186;</mo><mo>-</mo><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>a</mi><mi mathvariant="normal">d</mi><mi>o</mi><mi>s</mi><mo>-</mo><mi>q</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>s</mi><mi mathvariant="normal">i</mi><mi>g</mi><mi>u</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo>-</mo><mi mathvariant="normal">e</mi><mi>l</mi><mo>-</mo><mi>c</mi><mi>u</mi><mi>r</mi><mi>s</mi><mi>o</mi><mo>-</mo><mi>C</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_3 Calcular el valor de  k para que el siguiente sistema sea incompatible:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»y«/mi»«mo»+«/mo»«mn»3«/mn»«mi»z«/mi»«mo»=«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»k«/mi»«mi»x«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

m {#1} {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mi>x</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mo>=</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_4_11 Indica de los siguientes sistemas de ecuaciones cuales se pueden resolver por el método de Cramer.

a) «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»-«/mo»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mi»y«/mi»«mo»+«/mo»«mn»3«/mn»«mi»z«/mi»«mo»=«/mo»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»-«/mo»«mn»2«/mn»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math» b) «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mn mathsize=¨14px¨»3«/mn»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mn mathsize=¨14px¨»7«/mn»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»8«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

c) «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» d) «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»3«/mn»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»+«/mo»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/math»

 

]]> 1.0000000 0.3333333 0 false true none Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> a)

]]> c)

]]> b)

]]> d)

]]> <question/> Ariketa_4_2_1 Resolver el siguiente sistema lineal (método de Cramer).

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

 

]]> 1.0000000 0.3333333 0 0 x= #x1y= #y1z=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mi>y</mi><mo>-</mo><mi>z</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>2</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>y</mi><mn>1</mn><mspace linebreak="newline"/><mi>z</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_4_2_2 Resolver el siguiente sistema lineal (método de Cramer).

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»3«/mn»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»+«/mo»«mn mathsize=¨14px¨»3«/mn»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathsize=¨14px¨»-«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»+«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»-«/mo»«mn mathsize=¨14px¨»2«/mn»«mi mathsize=¨14px¨»z«/mi»«mo mathsize=¨14px¨»=«/mo»«mn mathsize=¨14px¨»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 x= #x1y= #y1z=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>-</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>3</mn><mo>*</mo><mi>z</mi><mo>=</mo><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mo>-</mo><mi>x</mi><mo>+</mo><mi>y</mi><mo>-</mo><mn>2</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>y</mi><mn>1</mn><mspace linebreak="newline"/><mi>z</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa_5 Dado el siguiente sistema:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»-«/mo»«mn»2«/mn»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»y«/mi»«mo»-«/mo»«mi»z«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

  • Expresalo en forma matricial.
  • Sin resolverlo, indica de que tipo de sistema se trata.

 (

 {#1}

 {#2}

 {#3}

 )

 .

 (

  {#4}

 )

 =

 (

  {#5}

 )

 {#6}

 {#7}

 {#8}

  {#9}

  {#10}

  {#11}

  {#12}

 {#13}

  {#14}

  {#15}

  

Es un sistema: {#16}

]]> 16.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>-</mo><mn>2</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>y</mi><mo>-</mo><mi>z</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>-</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a11</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a12</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a13</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a21</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a22</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a23</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a31</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a32</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a33</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b11</mi><mo>=</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b21</mi><mo>=</mo><mi>y</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b31</mi><mo>=</mo><mi>z</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c11</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c21</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c31</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_6 Discutir en función del parámetro   m  el siguiente sistema

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»m«/mi»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«msup»«mi»m«/mi»«mn»2«/mn»«/msup»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«msup»«mi»m«/mi»«mn»2«/mn»«/msup»«mi»y«/mi»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

 Si m = {#1}, entonces , Rango(A)= {#2} {#3} Rango(A*)= {#4} {#5} nº de incognitas

SISTEMA {#6}

Si m «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo»§#8800;«/mo»«/mstyle»«/math» {#7}, entonces , Rango(A)= {#8} {#9} Rango(A*)= {#10} {#11} nº de incognitas

SISTEMA {#12}

]]> 12.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfenced close="|" open="|"><mtable><mtr><mtd><mi>x</mi></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><msup><mi>x</mi><mn>2</mn></msup></mtd></mtr></mtable></mfenced><mo>=</mo><mn>0</mn><mo>,</mo><reals/></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mn>1</mn></mtd><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d22</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mn>1</mn></mtd><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><msup><mi>a</mi><mn>2</mn></msup></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_7 Discutir y resolver en función del parámetro   m  el siguiente sistema

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mi»m«/mi»«mi»y«/mi»«mo»-«/mo»«mn»3«/mn»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«mo»-«/mo»«mi»z«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

 Si m = {#1}, entonces , Rango(A)= {#2} {#3} Rango(A*)= {#4} {#5} nº de incognitas

SISTEMA {#6}

Sol: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#7}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»  {#8}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#9}

Si m «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo»§#8800;«/mo»«/mstyle»«/math» {#10}, entonces , Rango(A)= {#11} {#12} Rango(A*)= {#13} {#14} nº de incognitas

SISTEMA {#15}

Sol: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»x«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#16}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»y«/mi»«mo»=«/mo»«/mstyle»«/math»  {#17}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»z«/mi»«mo»=«/mo»«/mstyle»«/math»{#18}

]]> 18.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfenced close="|" open="|"><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mi>x</mi></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>=</mo><mn>0</mn><mo>,</mo><reals/></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn><mo>*</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>-</mo><mi>a</mi><mo>*</mo><mi>y</mi><mo>-</mo><mn>3</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>-</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>=</mo><msub><mi>e</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><msub><mi>e</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><msub><mi>e</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d22</mi><mo>=</mo><mi>rango</mi><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mi>a</mi></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr><mtr><mtd><mn>5</mn></mtd><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn><mo>*</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>-</mo><mi>a</mi><mo>*</mo><mi>y</mi><mo>-</mo><mn>3</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>-</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>e1</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>e1</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><msub><mi>e1</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>19</mn></mfrac><mo>*</mo><mi>z</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>7</mn><mn>19</mn></mfrac><mo>*</mo><mi>z</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_8 Una cooperativa farmacéutica reparte los productos en tres frascos distintos: A, B y C. Los frascos de tipo A pesan 250 gramos y cuestan 6 €; los de tipo B pesan 500 gramos y cuestan 10,8 €; y los de tipo C pesan un kilogramo y cuestan 19,8 €. En cierta farmacia se ha dejado un lote de cinco frascos que pesa 2,5 kilogramos y cuesta 53,4 €. ¿ Cuántos frascos de cada tipo ha comprado dicha farmacia?.

]]> 1.0000000 0.3333333 0 0 Frascos-de-tipoA=#x1Frascos-de-tipoB=#y1 Frascos-de-tipoC=#z1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>5</mn></mtd></mtr><mtr><mtd><mn>250</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>500</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>1000</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>2500</mn></mtd></mtr><mtr><mtd><mn>6</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>10</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>19</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>z</mi><mo>=</mo><mn>53</mn><mo>.</mo><mn>4</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>F</mi><mi>r</mi><mi>a</mi><mi>s</mi><mi>cos</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>t</mi><mi mathvariant="normal">i</mi><mi>p</mi><mi>o</mi><mi>A</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>F</mi><mi>r</mi><mi>a</mi><mi>s</mi><mi>cos</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>t</mi><mi mathvariant="normal">i</mi><mi>p</mi><mi>o</mi><mi>B</mi><mo>=</mo><mo>#</mo><mi>y</mi><mn>1</mn><mo>&#160;</mo><mspace linebreak="newline"/><mi>F</mi><mi>r</mi><mi>a</mi><mi>s</mi><mi>cos</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mo>-</mo><mi>t</mi><mi mathvariant="normal">i</mi><mi>p</mi><mi>o</mi><mi>C</mi><mo>=</mo><mo>#</mo><mi>z</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS II/Tema 5-Límites y continuidad Ariketa_19 Una  empresa fue fundada hace diez años, y la expresión    «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»C«/mi»«mo»(«/mo»«mi»t«/mi»«mo»)«/mo»«mo»=«/mo»«mo»-«/mo»«mfrac»«msup»«mi»t«/mi»«mn»2«/mn»«/msup»«mn»4«/mn»«/mfrac»«mo»+«/mo»«mn»3«/mn»«mi»t«/mi»«mo»+«/mo»«mn»10«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»§#8804;«/mo»«mi»t«/mi»«/math»       indica como ha evolucionado su capital C (en millones de euros) en función del tiempo t (en años) transcurrido desde su fundación.

  • Representar gráficamente esa evolución.
  •  ¿Cuándo alcanzo el capital su valor máximo y a cuanto ascendió?.¿En que periodo creció (decreció) dicho capital?
  • ¿Cuál es el capital actual de la empresa? ¿Hubo algún otro momento en el que el capital de la empresa fuera el mismo que el actual?


  Valor máximo del capital se obtubo para  t= {#1} y el importe de cicho capital fue de  {#2} millones de  € .

  El capital creció en el intervalo  {#3} - {#4}  y decreció en el intervalo  {#5} - {#6} .

  El capital de la empresa en la actualidad es de  {#7}  millones de €.

  {#8} hubo otro momento en el que el capital fue la misma que la actual. En el año  t= {#9} .



]]> 9.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>=</mo><mo>-</mo><mfrac><msup><mi>t</mi><mn>2</mn></msup><mn>4</mn></mfrac><mo>+</mo><mn>3</mn><mi>t</mi><mo>+</mo><mn>10</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>c</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>&apos;</mo><mo>=</mo><mn>0</mn><mo>,</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi><mo>=</mo><mi>c</mi><mo>(</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>t</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G</mi><mo>=</mo><mi>c</mi><mo>(</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mo>-</mo><mfrac><msup><mi>t</mi><mn>2</mn></msup><mn>4</mn></mfrac><mo>+</mo><mn>3</mn><mi>t</mi><mo>+</mo><mn>10</mn><mo>=</mo><mn>15</mn><mo>,</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi><mo>=</mo><msub><mi>r1</mi><mn>1</mn></msub><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dibujar</mi><mfenced><mrow><mo>-</mo><mfrac><msup><mi>t</mi><mn>2</mn></msup><mn>4</mn></mfrac><mo>+</mo><mn>3</mn><mi>t</mi><mo>+</mo><mn>10</mn><mo>,</mo><mn>0</mn><mo>.</mo><mo>.</mo><mn>10</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>19</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_20 Un articulo de consumo estuvo a la venta durante 8 años, y su precio P(t)  (en miles de euros) vario con el tiempo t (en años) que llevaba en el mercado, según la función siguiente:

 

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mo»(«/mo»«mi»t«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mn»4«/mn»«msup»«mi»t«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»4«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»§#8804;«/mo»«mi»t«/mi»«mo»§#8804;«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mfrac»«mn»5«/mn»«mn»2«/mn»«/mfrac»«mi»t«/mi»«mo»+«/mo»«mn»25«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#60;«/mo»«mi»t«/mi»«mo»§#8804;«/mo»«mn»8«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

  • Representar gráficamente la función.
  • Averiguar en que momentos se alcanzaron los precios máximo y mínimo, y cuales fueron esos precios.

  Precio máximoa para  t= {#1} y el importe fue de {#2} miles de €.

  Precio mínimoa para    t= {#3} y el importe fue de {#4} miles de €. 

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>=</mo><mn>4</mn><msup><mi>t</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>=</mo><mo>-</mo><mfrac><mn>5</mn><mn>2</mn></mfrac><mi>t</mi><mo>+</mo><mn>25</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dibujar</mi><mfenced><mrow><mn>4</mn><msup><mi>t</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mo>,</mo><mn>0</mn><mo>.</mo><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dibujar</mi><mfenced><mrow><mo>-</mo><mfrac><mn>5</mn><mn>2</mn></mfrac><mi>t</mi><mo>+</mo><mn>25</mn><mo>,</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>8</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mn>4</mn><msup><mi>t</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mo>=</mo><mo>-</mo><mfrac><mn>5</mn><mn>2</mn></mfrac><mi>t</mi><mo>+</mo><mn>25</mn><mo>,</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi><mo>=</mo><mi>t1</mi><mo>(</mo><mi>M</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi><mo>=</mo><mi>t1</mi><mo>(</mo><mi>m</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_21 Una entidad financiera lanza al mercado un plan de inversión cuya rentabilidad  R(x) (en miles de euros) depende de la cantidad que se invierte, x (en miles de euros), según la función siguiente:

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»-«/mo»«mn»0«/mn»«mo»,«/mo»«mn»001«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»0«/mn»«mo»,«/mo»«mn»4«/mn»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»10«/mn»«mo»§#8804;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»400«/mn»«/math»

  • Representar gráficamente la función.
  • Averiguar cual es la máxima rentabilidad posible y la cantidad que hay que invertir para obtenerla.

  Rentabilidad máxima  x= {#1} miles de €.

  Para conseguirlo se deben invertir {#2} miles de €.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>001</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>0</mn><mo>.</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dibujar</mi><mfenced><mrow><mo>-</mo><mn>0</mn><mo>.</mo><mn>001</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>0</mn><mo>.</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo><mn>10</mn><mo>.</mo><mo>.</mo><mn>400</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mfenced><mrow><mo>-</mo><mn>0</mn><mo>.</mo><mn>001</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>0</mn><mo>.</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mfenced><mrow><mo>-</mo><mn>0</mn><mo>.</mo><mn>001</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>0</mn><mo>.</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced><mo>&apos;</mo><mo>=</mo><mn>0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi><mo>=</mo><mi>t1</mi><mo>(</mo><mi>M</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>200.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>44.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>0.002</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>0.4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-1-1 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»2«/mn»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mrow»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio =#d1b)Dominio =#d2c)Dominio =#d3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><mn>2</mn><mi>x</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><mfrac><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>6</mn></mrow></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mn>2</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>2</mn><mo>,</mo><mn>3</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>&#x000A0;</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>&#x000A0;</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>&#x000A0;</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-1-2 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«/msqrt»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»1«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»1«/mn»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»16«/mn»«/mrow»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2c)Dominio=#d3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></msqrt><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><mfrac><mn>1</mn><msup><mi>x</mi><mn>2</mn></msup></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><mfrac><mn>1</mn><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>16</mn></mrow></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-1-3 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»16«/mn»«/msqrt»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mroot»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«mn»3«/mn»«/mroot»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2c)Dominio=#d3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>16</mn></mrow></msqrt><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>3</mn><mi>x</mi><mo>+</mo><mn>2</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><mroot><mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac><mn>3</mn></mroot><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-1-4 Calcula el dominio de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfrac»«/msqrt»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»2«/mn»«mroot»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mn»3«/mn»«/mroot»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 a)Dominio=#d1b)Dominio=#d2c)Dominio=#d3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><msqrt><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac></msqrt><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>conjunto_dominio</mi><mo>(</mo><mfrac><mn>2</mn><mroot><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mn>3</mn></mroot></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><reals/><mo>-</mo><mi>interval_open_close</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mi>D</mi><mi>o</mi><mi>min</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-10 Calcula el límite de las siguientes funciones:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»1«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mn»1«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»3«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mn»3«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»-«/mo»«mn»1«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«/math»

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» si no hay límite.

]]> 1.0000000 0.3333333 0 0 a)Limite=#l1Limites-laterales:Por-la-dercha=#l1dPor-la-izquierda=#l1ib)Limite=#l2Limites-laterales:Por-la-dercha=#l2dPor-la-izquierda=#l2ic)Limite=#l3Limites-laterales:Por-la-dercha=#l3dPor-la-izquierda=#l3i]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1d</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↘</mo><mn>1</mn></mrow></munder><mfenced><mfrac><mn>1</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1i</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↗</mo><mn>1</mn></mrow></munder><mfenced><mfrac><mn>1</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2d</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↘</mo><mn>3</mn></mrow></munder><mfenced><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2i</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↗</mo><mn>3</mn></mrow></munder><mfenced><mfrac><mn>3</mn><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3d</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↘</mo><mrow><mo>-</mo><mn>1</mn></mrow></mrow></munder><mfenced><mfrac><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3i</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↗</mo><mrow><mo>-</mo><mn>1</mn></mrow></mrow></munder><mfenced><mfrac><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>+∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>-∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>+∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>-∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>-∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>+∞</cn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>-</mo><mi>l</mi><mi>a</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>:</mo><mi>P</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi>h</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mi mathvariant="normal">d</mi><mspace linebreak="newline"/><mi>P</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>z</mi><mi>q</mi><mi>u</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">d</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mi mathvariant="normal">i</mi><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>2</mn><mspace linebreak="newline"/><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>-</mo><mi>l</mi><mi>a</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>:</mo><mi>P</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi>h</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>2</mn><mi mathvariant="normal">d</mi><mspace linebreak="newline"/><mi>P</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>z</mi><mi>q</mi><mi>u</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">d</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>2</mn><mi mathvariant="normal">i</mi><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>3</mn><mspace linebreak="newline"/><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>-</mo><mi>l</mi><mi>a</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>:</mo><mi>P</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi>h</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>3</mn><mi mathvariant="normal">d</mi><mspace linebreak="newline"/><mi>P</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>z</mi><mi>q</mi><mi>u</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">d</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>3</mn><mi mathvariant="normal">i</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-11-1 Calcula el siguiente límite:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»2«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«/mrow»«/mfrac»«/mfenced»«/math»

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» si no hay límite.

]]> 1.0000000 0.3333333 0 0 Limite=#l1Limites-laterales:Por-la-derecha=#l1dPor-la-izquierda=#l1i]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1d</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↘</mo><mn>2</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1i</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↗</mo><mn>2</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>+∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>-∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>±∞</cn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>-</mo><mi>l</mi><mi>a</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>:</mo><mi>P</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>h</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mi mathvariant="normal">d</mi><mspace linebreak="newline"/><mi>P</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>z</mi><mi>q</mi><mi>u</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">d</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mi mathvariant="normal">i</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-11-10 Calcula el siguiente límite:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»5«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»7«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«/math»

 

Escribei «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  si no hay límite.

]]> 1.0000000 0.3333333 0 0 Limite=#l1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><cn>+∞</cn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>5</mn></msup><mo>-</mo><mn>1</mn></mrow><mrow><msup><mi>x</mi><mn>7</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-11-2 Calcula el siguiente límite:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»1«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«/math»

 

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  si no hay límite.

]]> 1.0000000 0.3333333 0 0 Limite=#l1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1d</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↘</mo><mn>1</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>1</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1i</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↗</mo><mn>1</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>1</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>1</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>1</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-11-3 Calcula el siguiente límite:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»-«/mo»«mn»1«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«/math»

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  si no hay límite.

]]> 1.0000000 0.3333333 0 0 Limite=#l1Limites-laterales:Por-la-derecha=#l1dPor-la-izquierda=#l1i]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1d</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↘</mo><mrow><mo>-</mo><mn>1</mn></mrow></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1i</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>↗</mo><mrow><mo>-</mo><mn>1</mn></mrow></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mrow><mo>-</mo><mn>1</mn></mrow></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>+∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>-∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>-</mo><mi>l</mi><mi>a</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">e</mi><mi>s</mi><mo>:</mo><mi>P</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>h</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mi mathvariant="normal">d</mi><mspace linebreak="newline"/><mi>P</mi><mi>o</mi><mi>r</mi><mo>-</mo><mi>l</mi><mi>a</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>z</mi><mi>q</mi><mi>u</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">d</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mi mathvariant="normal">i</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-11-4 Calcula el siguiente límite:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»1«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«/math»

 

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» si no hay límite.

]]> 1.0000000 0.3333333 0 0 Limite=#l1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>1</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-11-5 Calcula el siguiente límite:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»4«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»x«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«/mfenced»«/math»

 

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» si no hay límite.

]]> 1.0000000 0.3333333 0 0 Limite=#l1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>4</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mi>x</mi></mrow><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></mfrac></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-11-6 Calcula el siguiente límite:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»0«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mfenced»«mrow»«mn»1«/mn»«mo»+«/mo»«mi»x«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«mi»x«/mi»«/mfrac»«/mfenced»«/math»

 

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» si no hay límite.

]]> 1.0000000 0.3333333 0 0 Limite=#l1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>0</mn></mrow></munder><mfenced><mfrac><mrow><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>x</mi></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow><mi>x</mi></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-11-7 Calcula el siguiente límite:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»4«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»6«/mn»«mi»x«/mi»«mo»+«/mo»«mn»8«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«/mfenced»«/math»

 

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» si no hay límite.

]]> 1.0000000 0.3333333 0 0 Limite=#l1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>4</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mi>x</mi><mo>+</mo><mn>8</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi>i</mi><mi>m</mi><mi>i</mi><mi>t</mi><mi>e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-11-8 Calcula el siguiente límite:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»6«/mn»«mi»x«/mi»«mo»+«/mo»«mn»8«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfrac»«/mfenced»«/math»

 

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  si no hay límite.

]]> 1.0000000 0.3333333 0 0 Limite=#l1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><cn>+∞</cn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mi>x</mi><mo>+</mo><mn>8</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi mathvariant="normal">i</mi><mi>m</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-11-9 Calcula el siguiente límite:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«/math»

 

Escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  si no hay límite.

]]> 1.0000000 0.3333333 0 0 Limite=#l1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><cn>+∞</cn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>1</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>+∞</cn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi>i</mi><mi>m</mi><mi>i</mi><mi>t</mi><mi>e</mi><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-13-1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»9«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8800;«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» Marca la respuesta adecuada.
]]> 1.0000000 0.3000000 0 true true abc ]]> ]]> ]]> ]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>3</mn></mrow></munder><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>9</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-13-2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»Marca la respuesta adecuada.
]]> 1.0000000 0.3000000 0 true true abc ]]> ]]> ]]> ]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>3</mn></mrow></munder><mo>(</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-13-3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»Marca la respuesta adecuada.
]]> 1.0000000 0.3000000 0 true true abc ]]> ]]> ]]> ]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>3</mn></mrow></munder><mo>(</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-13-4
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» Marca la respuesta adecuada..
]]> 1.0000000 0.3000000 0 true true abc ]]> ]]> ]]> ]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>3</mn></mrow></munder><mo>(</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-14-1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»  En el punto x=0 .
]]> 1.0000000 0.3000000 0 true true abc ]]> ]]> ]]> ]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>3</mn></mrow></munder><mo>(</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-14-2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«mo»-«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» En el punto «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mo»-«/mo»«mn»2«/mn»«/math» .
]]> 1.0000000 0.3000000 0 true true abc ]]> ]]>
]]> ]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>3</mn></mrow></munder><mo>(</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-14-3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» En el punto «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mn»0«/mn»«/math» 
]]> 1.0000000 0.3000000 0 true true abc ]]> ]]> ]]> ]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>3</mn></mrow></munder><mo>(</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-15 Dada la siguiente función:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mo»-«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»c«/mi»«mi»x«/mi»«mo»+«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»§#8804;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8805;«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Donde  c=#c

Calcula a y b, para que la función se continua en «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨normal¨»§#8477;«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 a=#ab=#b]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>c</mi><mo>*</mo><mn>2</mn><mo>+</mo><mi>b</mi><mo>=</mo><mi>x</mi><mo>*</mo><mn>4</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>3</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi>b</mi><mo>=</mo><mo>#</mo><mi>b</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-16 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mi»#f«/mi»«mi»#g«/mi»«/mfrac»«/math». Marca la respuesta adecuada.]]> 1.0000000 0.3000000 0 true true abc ]]> ]]> ]]> ]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∨</mo><mi>b</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mi>list</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>3</mn><mo>)</mo><mo>/</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>)</mo><mo>·</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>b</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>)</mo><mo>·</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>c</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mfrac><mi>f</mi><mi>g</mi></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mi>x</mi></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi><mo>-</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>*</mo><mi>x</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-17-1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mo»-«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»§#60;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8805;«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»  En el punto   x=0.
]]> 1.0000000 0.3000000 0 true true abc ]]> ]]> ]]> ]]> <question><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-17-2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mo»-«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»§#60;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8805;«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»  En el punto  x=1.
]]> 1.0000000 0.3000000 0 true true abc ]]> ]]> ]]> ]]> <question><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-17-3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mo»-«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»§#60;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8805;«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» En el punto x=2 .
]]> 1.0000000 0.3000000 0 true true abc ]]> ]]> ]]>
]]> <question><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa-18 Dada la siguiente función:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mi»e«/mi»«msup»«mo»§#160;«/mo»«mi»x«/mi»«/msup»«mo»+«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»c«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»§#60;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mi»b«/mi»«mrow»«mn»2«/mn»«mi»x«/mi»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Donde  c=#c

Calcula a y b, para que la función se continua en los puntos  x=0 y x=1.

]]> 1.0000000 0.3333333 0 0 a=#ab=#b]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mn>1</mn><mo>+</mo><mi>x</mi><mo>=</mo><mi>c</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>r1</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mi>a</mi><mo>+</mo><mi>c</mi><mo>=</mo><mfrac><mi>x</mi><mn>2</mn></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><msub><mi>r2</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>10</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi>b</mi><mo>=</mo><mo>#</mo><mi>b</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-18-2 Dada la siguiente función:

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable»«mtr»«mtd»«mi»#f1«/mi»«mo»+«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mi»#a«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#g«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#10878;«/mo»«mi»#a«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math» Calcula el valor de  b para que la función se continua en el punto  x = #a.

]]> 1.0000000 0.1000000 0 0 #b <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mi>list</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>3</mn><mo>)</mo><mo>/</mo><mo>{</mo><mn>0</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>c</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>c</mi><mo>*</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><msup><mi>e</mi><mi>x</mi></msup><mo>-</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><msup><mi>e</mi><mi>a</mi></msup><mo>-</mo><mi>d</mi><mo>-</mo><msup><mi>a</mi><mn>2</mn></msup><mo>-</mo><mi>c</mi><mo>*</mo><mi>a</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#b</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-6-1 Calcula los siguientes límites:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»1«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»0«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«mo»-«/mo»«mn»25«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»47«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»2«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»6«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 a) =#l1b) =#l2c) =#l3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>1</mn></mrow></munder><mfenced><mrow><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>7</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>0</mn></mrow></munder><mfenced><mrow><mo>-</mo><mn>25</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>47</mn><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>2</mn></mrow></munder><mfenced><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>&#x000A0;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>&#x02009;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>&#x000A0;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-6-2 Calcula los siguientes límites:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»0«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»2«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»7«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»3«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»9«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»6«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 a) =#l1b) =#l2c) =#l3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>0</mn></mrow></munder><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>7</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>2</mn></mrow></munder><mfenced><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>7</mn><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>3</mn></mrow></munder><mfenced><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>9</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>114</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>&#8201;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-7-1 Calcula los siguientes límites:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»1«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»1«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»6«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«mo»§#160;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 a) =#l1b) =#l2c) =#l3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>1</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>1</mn></mrow></munder><mfenced><mfrac><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>6</mn></mrow></munder><mfenced><mfrac><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>7</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>&#8201;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-7-2 Calcula los siguientes límites:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»1«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»4«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»2«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mfenced»«mo»§#160;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 a) =#l1b) =#l2c) =#l3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>1</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>5</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>4</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><mn>2</mn></mrow></munder><mfenced><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mfenced><mo> </mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>17</mn><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>&#8201;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-8 Calcula los siguientes límites:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»7«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»+«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»9«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»6«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 a) =#l1b) =#l2c) =#l3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><cn>+∞</cn></mrow></munder><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>7</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><cn>+∞</cn></mrow></munder><mfenced><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>7</mn><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><cn>+∞</cn></mrow></munder><mfenced><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>9</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>+∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>-∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>+∞</cn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>&#8201;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ariketa-9 Calcula los siguientes límites:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»-«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»-«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»c«/mi»«mo»)«/mo»«mo»§#160;«/mo»«munder»«mrow»«mi»l«/mi»«mi»i«/mi»«mi»m«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»-«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«mo»§#160;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»7«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 a) =#l1b) =#l2c) =#l3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><cn>-∞</cn></mrow></munder><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><cn>-∞</cn></mrow></munder><mfenced><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>7</mn></mrow></mfenced><mo> </mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><cn>-∞</cn></mrow></munder><mfenced><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>7</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>+∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>-∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>-∞</cn></math></output></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>&#8201;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>l</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS II/Tema 6-Cálculo de derivadas Ariketa-1-1 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>x</mi><mo>+</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-10 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mfenced»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»3«/mn»«/msup»«/math»

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mfenced><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mn>3</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#x000A0;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#x000A0;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-11 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mfenced»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»10«/mn»«/mrow»«/mfenced»«mn»4«/mn»«/msup»«/math»

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mfenced><mrow><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>10</mn></mrow></mfenced><mn>4</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>192</mn><mo>*</mo><msup><mi>x</mi><mn>11</mn></msup><mo>-</mo><mn>1600</mn><mo>*</mo><msup><mi>x</mi><mn>9</mn></msup><mo>+</mo><mn>2880</mn><mo>*</mo><msup><mi>x</mi><mn>8</mn></msup><mo>+</mo><mn>4800</mn><mo>*</mo><msup><mi>x</mi><mn>7</mn></msup><mo>-</mo><mn>16800</mn><mo>*</mo><msup><mi>x</mi><mn>6</mn></msup><mo>+</mo><mn>8400</mn><mo>*</mo><msup><mi>x</mi><mn>5</mn></msup><mo>+</mo><mn>30000</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>45500</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>9000</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>30000</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>20000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2112</mn><mo>*</mo><msup><mi>x</mi><mn>10</mn></msup><mo>-</mo><mn>14400</mn><mo>*</mo><msup><mi>x</mi><mn>8</mn></msup><mo>+</mo><mn>23040</mn><mo>*</mo><msup><mi>x</mi><mn>7</mn></msup><mo>+</mo><mn>33600</mn><mo>*</mo><msup><mi>x</mi><mn>6</mn></msup><mo>-</mo><mn>100800</mn><mo>*</mo><msup><mi>x</mi><mn>5</mn></msup><mo>+</mo><mn>42000</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mn>120000</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>136500</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>18000</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>30000</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-12 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mfenced»«mrow»«mi»a«/mi»«mi»x«/mi»«mo»+«/mo»«mi»b«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/math»

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mfenced><mrow><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi></mrow></mfenced><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msup><mi>a</mi><mn>2</mn></msup><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>a</mi><mo>*</mo><mi>b</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msup><mi>a</mi><mn>2</mn></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-13 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>2</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-14 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>19</mn><mrow><mn>9</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>30</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>25</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>114</mn></mrow><mrow><mn>27</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>135</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>225</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>125</mn></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-15 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><msup><mi>x</mi><mn>3</mn></msup><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>24</mn><mo>*</mo><mi>x</mi></mrow><mrow><msup><mi>x</mi><mn>6</mn></msup><mo>-</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mn>12</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>8</mn></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-16 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><msup><mi>x</mi><mn>2</mn></msup><mn>5</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>*</mo><mi>x</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>5</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-17 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn></mrow></msqrt></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mrow><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn></mrow></mfenced><mo>*</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn></mrow></msqrt></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-18 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>5</mn></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn></mrow></msqrt></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfenced><mo>*</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn></mrow></msqrt></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-19 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mfrac><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow><mn>3</mn></mfrac></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mn>6</mn><mo>*</mo><msqrt><mrow><mfrac><mi>x</mi><mn>3</mn></mfrac><mo>+</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow></msqrt></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mrow><mfenced><mrow><mn>12</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>24</mn></mrow></mfenced><mo>*</mo><msqrt><mrow><mfrac><mi>x</mi><mn>3</mn></mfrac><mo>+</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow></msqrt></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-2 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-20 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:


f(x)= #f


Emaitza arrazionalizatu.

Racionaliza la respuesta.

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mroot><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mroot></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>*</mo><mroot><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mroot></mrow><mrow><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>3</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mfenced><mrow><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn></mrow></mfenced><mo>*</mo><mroot><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mroot></mrow><mrow><mn>9</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>18</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>9</mn></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-21 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»7«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»12«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>7</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>12</mn><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>57</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>84</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>114</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-22 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mfrac><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>2</mn></mrow><mrow><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo>*</mo><msqrt><mfrac><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></msqrt></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>8</mn></mrow><mrow><mfenced><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>8</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfenced><mo>*</mo><msqrt><mfrac><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></msqrt></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-23 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:


f(x)= #f

Arrazionalizatu emaitza.

Racionaliza la solución.

]]> 1.0000000 0.3333333 0 0 f'(x)=#df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mroot><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>7</mn><mi>x</mi></mrow><mn>5</mn></mroot></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mfenced><mrow><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>7</mn></mrow></mfenced><mo>*</mo><mroot><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>7</mn><mo>*</mo><mi>x</mi></mrow><mn>5</mn></mroot></mrow><mrow><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>35</mn><mo>*</mo><mi>x</mi></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mfenced><mrow><mo>-</mo><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>42</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>196</mn></mrow></mfenced><mo>*</mo><mroot><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>7</mn><mo>*</mo><mi>x</mi></mrow><mn>5</mn></mroot></mrow><mrow><mn>25</mn><mo>*</mo><msup><mi>x</mi><mn>6</mn></msup><mo>-</mo><mn>350</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mn>1225</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-24 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)=#df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>12</mn><mi>x</mi><mo>+</mo><mn>2</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>7</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>9</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>84</mn></mrow><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>14</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>49</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>10</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>12</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>210</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>28</mn></mrow><mrow><msup><mi>x</mi><mn>6</mn></msup><mo>-</mo><mn>21</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mn>147</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>343</mn></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-25 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)=#df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>x</mi><mo>+</mo><msqrt><mrow><mn>1</mn><mo>-</mo><mi>x</mi></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>*</mo><msqrt><mrow><mo>-</mo><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msqrt><mo>-</mo><mn>1</mn></mrow><mrow><mn>2</mn><mo>*</mo><msqrt><mrow><mo>-</mo><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msqrt></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mfenced><mrow><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn></mrow></mfenced><mo>*</mo><msqrt><mrow><mo>-</mo><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msqrt></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-26 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)=#df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>x</mi><mo>*</mo><msup><exponentiale/><mrow><mo>-</mo><mi>x</mi></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo>*</mo><msup><exponentiale/><mrow><mo>-</mo><mi>x</mi></mrow></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced><mo>*</mo><msup><exponentiale/><mrow><mo>-</mo><mi>x</mi></mrow></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-27 Kalkulatu ondorengo funtzioaren lehen deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)=#df1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>*</mo><msup><exponentiale/><mrow><mo>-</mo><mi>x</mi></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi></mrow></mfenced><mo>*</mo><msup><exponentiale/><mrow><mo>-</mo><mi>x</mi></mrow></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced><mo>*</mo><msup><exponentiale/><mrow><mo>-</mo><mi>x</mi></mrow></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-3 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-4 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>8</mn><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-5 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-6 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-7 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-8 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>3</mn><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Ariketa-1-9 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:


f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>16</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mfenced><mi>f</mi></mfenced><mo>&apos;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>df1</mi><mo>&apos;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> MATE CCSS II/Tema 7-Aplicaciones de la derivada Buruketa-1 Aurki itzazu a eta b ,  f(x)= #f funtzioak maximo erlatibo bat izan dezan (0,4) puntuan.

(Determinar el valor de a y b, para que la función f(x)= #f  presente un máximo relativo en el punto  (0,4).

 

 

  a= {#1}

  b= {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mi>ax</mi><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>a</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mn>4</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>4</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-10 f(x)=#f funtzioak minimo erlatibo bat du x=1  puntuan. Kalkulatu m-ren balioa eta minimoa.

La función f(x)=#f  tiene un mínimo relativo en el punto x=1. Calcular el valor de m y el mínimo.

  m= {#1}

  Minimoa(Mïnimo)= {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>mx</mi><mo>+</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mn>6</mn><mo>+</mo><mi>x</mi><mo>=</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m2</mi><mo>=</mo><mi>evaluar</mi><mo>(</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>8</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-11 Zehaztu  a eta b-ren balioak, f(x)=#f  funtzioak minimo bat izan dadin x=2  puntuan, bere balioa 3 izanez.

Determinar  a y b  para que la función f(x)=#f  tenga un mínimo en el punto x=2 , cuyo valor es 3 .

 

  a= {#1}

  b= {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>ax</mi><mn>2</mn></msup><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>12</mn><mo>+</mo><mn>4</mn><mi>x</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>8</mn><mo>+</mo><mn>4</mn><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-12 Kalkula itzazu  b eta m-ren balioak, f(x)=#f  funtzioak  (0,1) puntuan inflexio puntua izan dadin eta puntu berean zuzen ukitzailearen malda 1 izan dadin.

Calcula el valor de  b y m , para que la función f(x)=#f  tenga un punto de inflexión en el punto (0,1) , y la pendiente de la recta tangente en dicho punto sea 1.

 

  b= {#1}

  m= {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>bx</mi><mn>2</mn></msup><mo>+</mo><mi>mx</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mi>x</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>y</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-13 Izan bedi f(x)=#f , zeintzuk izan beharko dira  b eta c-ren balioak, funtzioak x=1 puntuan mutur erlatibo bat eta x=0  puntuan inflexio puntu bat izan dezan?. x=1 puntuko mutur erlatiboa maximo ala minimoa da?

Sea la función f(x)=#f , ¿qué valores deberán tomar b y c  para que la función presente un extremo relativo en el punto x=1 y un punto de inflexión en el punto x=0?. ¿El extremo relativo x=1 es un máximo o un mínimo?

 

  b= {#1}

  c= {#2}

  Mutur erlatiboa (Extremo) ={#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>bx</mi><mn>2</mn></msup><mo>+</mo><mi>cx</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>3</mn><mo>+</mo><mn>2</mn><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn><mi>x</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-14 f(x)=#f funtzioak, abszisa ardatza x=3  puntuan ebakitzen du eta x=2/3 puntuan, inflexio puntu bat du. Kalkula itzazu a eta b.

La función f(x)=#f corta al eje de abscisas en el punto x=3 y tiene un punto de inflexión en el punto x=2/3. Calcular los valores de a y b.

 

  a= {#1}

  b= {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><msup><mi>ax</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mi>x</mi><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>27</mn><mo>-</mo><mn>9</mn><mi>x</mi><mo>+</mo><mn>12</mn><mo>+</mo><mi>y</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn><mi>x</mi><mo>=</mo><mn>4</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>21</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-15 Kalkulatu  a eta b-ren balioak f(x)=#f funtzioak (1,1) puntuan minimo bat izan dadin.

Calcular los valores de a y b para que la función f(x)=#f presente un mínimo en el punto (1,1).

 

  a= {#1}

  b= {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mi>ax</mi><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>+</mo><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn><mo>+</mo><mi>x</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-16 Izanik f(x)=#f funtzioa, kalkulatu a, b eta c_ren balioak (1,17) puntutik igarotzen dela, bere bigarren deribatua 4 dela eta x=-1 puntuan minimo erlatibo bat duela jakinik.

Sea la función f(x)=#f , calcula los valores de a, b y c sabiendo que pasa por el punto (1,17), su segunda derivada vale 4 y presenta un mínimo relativo en el punto x=-1.

 

  a= {#1}

  b= {#2}

  c= {#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>ax</mi><mn>2</mn></msup><mo>+</mo><mi>bx</mi><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn><mi>x</mi><mo>=</mo><mn>4</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>17</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>11</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-17 Izan bedi f(x)=#f , kalkulatu a,b eta c, funtzioak  (1,15) puntuan eta x=2 puntuan mutur erlatiboak izan ditzan.

Sea la función f(x)=#f , calcula los valores de a, b y c para que la función tenga dos extremos relativos en los puntos (1,15) y x=2.

  a= {#1}

  b= {#2}

  c= {#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>ax</mi><mn>3</mn></msup><mo>+</mo><msup><mi>bx</mi><mn>2</mn></msup><mo>+</mo><mi>cx</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>5</mn></mtd></mtr><mtr><mtd><mn>3</mn><mi>x</mi><mo>+</mo><mn>2</mn><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>12</mn><mi>x</mi><mo>+</mo><mn>4</mn><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>9</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-18 f(x)=#f funtzioaren zuzen ukitzailea x=0 puntuan y=2x zuzenarekiko paraleloa da. Eta x=1 puntuan bere zuzen ukitzailea OX ardatzarekiko paraleloa da. Kalkulatu a eta b-ren balioak.

La recta tangente a la función f(x)=#f en el punto x=0 es paralela a la recta de ecuación y=2x. Y en el punto x=1 su recta tangente es paralela al eje OX. Calcular el valor de a y b.

 

  a= {#1}

  b= {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>ax</mi><mn>2</mn></msup><mo>+</mo><mi>bx</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>y</mi><mo>=</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>2</mn><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-19 Izan bedi f(x)=#f  kurba. Aurkitu zein puntutan den bere zuzen ukitzailea y=x  zuzenarekiko paraleloa.

Dada la función f(x)=#f. Encontrar el punto para el que su recta tangente es paralela a la recta de ecuación y=x.

 

  x0= {#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>9</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>5</mn><mo>=</mo><mn>1</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-2  Kalkula itzazu , a, b eta c-ren balioak f(x)= #f funtzioan, jakinik minimo bat duela (6,-12) puntuan eta  x=8 puntuan anulatzen dela.

Calcular el valor de a,b  y c para que la función f(x)=#f  presente un mínimo en el punto (6,-12) y se anule para el punto x=8 .

 

  a= {#1}

  b= {#2}

  c= {#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>ax</mi><mn>2</mn></msup><mo>+</mo><mi>bx</mi><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>36</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn><mo>*</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mo>-</mo><mn>12</mn></mtd></mtr><mtr><mtd><mn>12</mn><mo>*</mo><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>64</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>8</mn><mo>*</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>96</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-20 Bana ezazu 48 zenbakia bi batugaietan, ondokoa bete behar delarik: lehen batugaiaren karratua bider bost gehi bigarren batugaiaren karratua bider sei minimoa izan dadila.

Dividir el número 48 en dos sumandos, de manera que cumplan la siguiente condición: el cuadrado del primer sumando por cinco más el cuadrado del segundo sumando por seis sea un mínimo.

 1. batugaia sartu balio handiena eta zatiki eran      Primer sumando valor mayor y como fracción

  1. batugaia (Primer sumando) = {#1}

  2. batugaia (Segundo sumando) = {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>48</mn></mtd></mtr><mtr><mtd><mn>22</mn><mi>x</mi><mo>-</mo><mn>576</mn><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>240</mn><mn>11</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>288</mn><mn>11</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-21 Aurkitu bi zenbaki beren batura 20 ematen dutenak, jakinik euren alderantzizkoen batura minimoa dela.

Encontrar dos números cuya suma es 20, sabiendo que la suma de sus inversos es un mínimo.

 1. zenbakia sartu balio handiena      Primer número valor mayor

 

  Zenbaki bat = {#1}

  Beste zenbaki bat = {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>20</mn></mtd></mtr><mtr><mtd><mfrac><mrow><mo>-</mo><mn>20</mn><mo>(</mo><mn>20</mn><mo>-</mo><mn>2</mn><mi>x</mi><mo>)</mo></mrow><msup><mfenced><mrow><mn>20</mn><mi>x</mi><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced><mn>2</mn></msup></mfrac><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-22 Zein zenbaki positibok egiaztatzen du berari berorren alderantzizkoa batuz gero ateratzen den batura minimoa izatea?

¿Qué número positivo verifica que la suma de él con su inverso sea un mínimo?

 

  Zenbakia = {#1}

]]> 1.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-23 Orrialde batek 18 zm2 testu eduki behar du. Goiko eta beheko marjinek bina zentimetro izan behar dituzte,eta alboetakoek bana. Aurki itzazu orriaren neurriak, paperaren kostua(azalera) minimoa izan dadin.

Una hoja de papel debe contener 18 cm2 de texto impreso. Los márgenes superior e inferior han de tener 2 cm cada uno, y los laterales, un centímetro. Halla las dimensiones de la hoja para que el gasto de papel(área) sea mínimo.

 

  Neurriak

Oinarria (Ancho) = {#1}

Altuera (Alto) = {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>y</mi><mo>-</mo><mn>4</mn></mrow></mfenced><mo>=</mo><mn>18</mn></mtd></mtr><mtr><mtd><mfrac><mrow><mn>4</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>16</mn><mi>x</mi><mo>-</mo><mn>20</mn></mrow><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced><mn>2</mn></msup></mfrac><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>2</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-24 2 m2-ko azalera duen lehio laukizuzena markoztatu nahi da. Marko bertikalaren metro bakoitzaren prezioa 50 euro bada eta horizontalarena 64, zein dimentsio eman beharko litzaizkioke leihoari kostua minimoa izan dadin?.

Se desea enmarcar una ventana rectangular de 2 m2 de superficie. El precio del marco vertical es de 50 euros por metro y el de el horizontal 64, ¿qué dimensiones debe tener la ventana, para que el coste sea mínimo?.

Emaitzak zatiki eran    Soluciones en forma de fracción

  Neurriak

Oinarria (Ancho) = {#1}

Altuera (Alto) = {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>*</mo><mi>y</mi><mo>=</mo><mn>2</mn></mtd></mtr><mtr><mtd><mfrac><mrow><mn>128</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>200</mn></mrow><msup><mfenced><mi>x</mi></mfenced><mn>2</mn></msup></mfrac><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>8</mn><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-25 5 metroko luzeera duen burdin haria bi zatitan banatu nahi da, zatietako baten karratuaren eta bestearen karratuaren laukoitzaren batura minimoa izanik. Non egin behar da mozketa?

Se desea dividir un alambre de 5 metros de largo en dos partes, de manera que la suma del cuadrado de una de ellas con el cuádruplo del cuadrado de la otra sea la mínima posible. ¿Dónde hay que dar el corte?.

 

Bi zati sortzen dira, bakoitzaren neurriak:

Txikienak = {#1} metro.

Handienak = {#2} metro.

]]> 2.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-26 1600 m2-ko azalera duten lur zati laukizuzen guztien artean, zein izango litzateke merkeena hesi batez inguratzeko?.

De todas las parcelas de forma rectangular de 1600 m2 de superficie, ¿cuál sería la más barata de cercar con una valla?.

  Neurriak

Oinarria (Ancho) = {#1}

Altuera (Alto) = {#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>*</mo><mi>y</mi><mo>=</mo><mn>1600</mn></mtd></mtr><mtr><mtd><mfrac><mrow><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>3200</mn></mrow><msup><mfenced><mi>x</mi></mfenced><mn>2</mn></msup></mfrac><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>2</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>40</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>40</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-3 Kalkula itzazu a,b ,c  eta d-ren balioak f(x)=#f  polinomioan, jakinik (-1,24) puntutik pasatzen dela, minimo erlatibo bat duela (1,0) puntuan eta bere erro bat 2  dela.

Calcular los valores de a,b ,c  y d en el polinomio f(x)=#f, sabiendo que pasa por el punto (-1,24) , tiene un mínimo relativo en el punto (1,0) y una de sus raíces es el 2 .

  a= {#1}

  b= {#2}

  c= {#3}

  d= {#4}

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>ax</mi><mn>3</mn></msup><mo>+</mo><msup><mi>bx</mi><mn>2</mn></msup><mo>+</mo><mi>cx</mi><mo>+</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mi>x</mi><mo>+</mo><mi>y</mi><mo>-</mo><mi>z</mi><mo>+</mo><mi>w</mi><mo>=</mo><mn>24</mn></mtd></mtr><mtr><mtd><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mi>z</mi><mo>+</mo><mi>w</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>3</mn><mi>x</mi><mo>+</mo><mn>2</mn><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>8</mn><mi>x</mi><mo>+</mo><mn>4</mn><mi>y</mi><mo>+</mo><mn>2</mn><mi>z</mi><mo>+</mo><mi>w</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>z</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>w</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>10</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-4 Aurkitu   f(x)= #f ekuazioa duen kurbak  x=-1 abzisa-puntuan duen zuzen ukitzailearen ekuazioa.

Encontrar la ecuación de la recta tangente a la curva f(x)=#f , en el punto de abscisa x=-1 .

Emaitza y=ax+b eran eman.

]]> 1.0000000 0.3333333 0 0 Zuzena(recta)=#r]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo> </mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>y</mi><mo>=</mo><mn>9</mn><mi>x</mi><mo>+</mo><mn>7</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>7</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Z</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>a</mi><mo>(</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Buruketa-5 Zer puntutan da f(x)=#f  funtzioaren grafikoaren zuzen ukitzailea lehen koadranteko erdikariaren paralelo?

¿En qué punto la función f(x)=#f  tiene una recta tangente paralela a la bisectriz del primer cuadrante?

 

  x0= {#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mn>1</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-6 Kalkulatu f(x)=#f   kurbaren zuzen ukitzaileen ekuazioak, abszisa ardatza ebakitze puntuetan.

Calcular la ecuación de las rectas tangentes a la curva f(x)=#f , en los puntos de corte con el eje de abscisas.

Lehenengo balio txikiena

Emaitza y=ax+b eran eman.

]]> 1.0000000 0.3333333 0 0 Ebaki_puntua(punto_de_corte)x=#x1Ebaki_puntua(punto_de_corte)x=#x2Zuzena(recta)=#r1Zuzena(recta)=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo> </mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>12</mn><mi>x</mi><mo>+</mo><mn>10</mn><mo>=</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><msub><mi>sol</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>8</mn><mi>x</mi><mo>+</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>y</mi><mo>=</mo><mn>8</mn><mi>x</mi><mo>-</mo><mn>40</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>7</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mi>b</mi><mi>a</mi><mi>k</mi><mi mathvariant="normal">i</mi><mi>_</mi><mi>p</mi><mi>u</mi><mi>n</mi><mi>t</mi><mi>u</mi><mi>a</mi><mo>(</mo><mi>p</mi><mi>u</mi><mi>n</mi><mi>t</mi><mi>o</mi><mi>_</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>_</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>)</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>1</mn><mspace linebreak="newline"/><mi>E</mi><mi>b</mi><mi>a</mi><mi>k</mi><mi mathvariant="normal">i</mi><mi>_</mi><mi>p</mi><mi>u</mi><mi>n</mi><mi>t</mi><mi>u</mi><mi>a</mi><mo>(</mo><mi>p</mi><mi>u</mi><mi>n</mi><mi>t</mi><mi>o</mi><mi>_</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi>_</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>)</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mn>2</mn><mspace linebreak="newline"/><mi>Z</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>a</mi><mo>(</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>Z</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>a</mi><mo>(</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Buruketa-7 Kalkulatu f(x)=#f  kurbaren zuzen ukitzailearen ekuazioa, x=1 puntuan.

Calcular la ecuación de la recta tangente a la curva f(x)=#f  , en el punto de abscisa x=1.

Emaitza y=ax+b eran eman.

]]> 1.0000000 0.3333333 0 0 Zuzena(recta)=#r]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><mrow><mn>1</mn><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>12</mn><mi>x</mi><mo>+</mo><mn>10</mn><mo>=</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><msub><mi>sol</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><msub><mi>sol</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>y</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>x</mi></mrow><mn>2</mn></mfrac><mo>+</mo><mn>1</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Z</mi><mi>u</mi><mi>z</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>a</mi><mo>(</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>t</mi><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Buruketa-8 Zehaztu a  parametroaren balioa, f(x)=#f funtzioaren minimoaren balioa 8 izan dadin.

Determinar el valor del parámetro a , para que el mínimo de la función f(x)=#f  tenga el valor 8.

 

  a= {#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mi>x</mi><mo>+</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mn>9</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Buruketa-9 Izan bedi f(x)=#f funtzioa. Kalkulatu a-ren balioa, funtzioak x=2  puntuan mutur erlatibo bat izan dadin.

Sea la función f(x)=#f . Calcular el valor de a  para que la función presente un extremo relativo en el punto x=2.

  a= {#1}

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mn>12</mn><mo>+</mo><mn>4</mn><mi>x</mi><mo>=</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><msub><mi>r</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> MATE CCSS II/Tema 8-Integrales indefinidas y definidas Azalera-10 Kalkulatu honako funtzioek  mugaturiko azalera (Calcula el área encerrada por las funciones) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨».«/mo»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-4-1 Kalkulatu honakoek mugaturiko azalera (Calcula el área encerrada por) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»o«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»,«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»d«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»b«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨».«/mo»«mspace linebreak=¨newline¨/»«mi mathsize=¨14px¨»L«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»§#243;«/mi»«mi mathsize=¨14px¨»n«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»,«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»l«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»j«/mi»«mi mathsize=¨14px¨»e«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»l«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»s«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»s«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»b«/mi»«mo mathsize=¨14px¨».«/mo»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>16</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-4-2 Kalkulatu honakoek mugaturiko azalera (Calcula el área encerrada por) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»o«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»,«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»d«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»b«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨».«/mo»«mspace linebreak=¨newline¨/»«mi mathsize=¨14px¨»L«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»§#243;«/mi»«mi mathsize=¨14px¨»n«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»,«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»l«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»j«/mi»«mi mathsize=¨14px¨»e«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»l«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»s«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»s«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»b«/mi»«mo mathsize=¨14px¨».«/mo»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>2</mn><mi>x</mi><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mn>0</mn></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi><mo>+</mo><msubsup><mo>∫</mo><mn>0</mn><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-4-3 Kalkulatu honakoek mugaturiko azalera (Calcula el área encerrada por) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»o«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»d«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mspace linebreak=¨newline¨/»«mi mathsize=¨14px¨»L«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»§#243;«/mi»«mi mathsize=¨14px¨»n«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»l«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»j«/mi»«mi mathsize=¨14px¨»e«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>x</mi><mo>-</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>32</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-4-4 Kalkulatu honakoek mugaturiko azalera (Calcula el área encerrada por) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»o«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»,«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»d«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»b«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨».«/mo»«mspace linebreak=¨newline¨/»«mi mathsize=¨14px¨»L«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»§#243;«/mi»«mi mathsize=¨14px¨»n«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»,«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»l«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»j«/mi»«mi mathsize=¨14px¨»e«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»l«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»s«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»s«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»b«/mi»«mo mathsize=¨14px¨».«/mo»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>1</mn><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mrow><mo>-</mo><mn>1</mn></mrow></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi><mo>+</mo><msubsup><mo>∫</mo><mrow><mo>-</mo><mn>1</mn></mrow><mn>1</mn></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi><mo>-</mo><msubsup><mo>∫</mo><mn>1</mn><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-4-5 Kalkulatu honakoek mugaturiko azalera (Calcula el área encerrada por) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»o«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»,«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»d«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»b«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨».«/mo»«mspace linebreak=¨newline¨/»«mi mathsize=¨14px¨»L«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»§#243;«/mi»«mi mathsize=¨14px¨»n«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»,«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»l«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»j«/mi»«mi mathsize=¨14px¨»e«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»l«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»s«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»s«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»b«/mi»«mo mathsize=¨14px¨».«/mo»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>40</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-6-1 Kalkulatu honako funtzioek mugaturiko azalera (Calcula el área encerrada por las siguientes funciones) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»o«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>6</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-6-2 Kalkulatu honako funtzioek mugaturiko azalera (Calcula el área encerrada por las siguientes funciones) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»o«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-6-3 Kalkulatu honako funtzioek mugaturiko azalera (Calcula el área encerrada por las siguientes funciones) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»o«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>12</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-6-4 Kalkulatu honako funtzioek mugaturiko azalera (Calcula el área encerrada por las siguientes funciones) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»o«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-7 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«/math» funtzioen adierazpen grafikoa egin eta kalkulatu mugatzen duten azalera.

Realizar la representación gráfica de las funciones «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«/math» y calcular el área del recinto limitado por ellas.

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mn>1</mn><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-8 Kalkulatu honako funtzioek  mugaturiko azalera (Calcula el área encerrada por las funciones) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨».«/mo»«/math»

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>96</mn><mn>5</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-9 Kalkulatu «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«/math» funtzioek mugatzen duten azalera.

Calcular el área del recinto limitado por las funciones «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«/math».

 

Erantzuna:

 

Azalera (Area): {#1} u2

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><msqrt><mrow><mn>4</mn><mi>x</mi></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mroot><mn>4</mn><mn>3</mn></mroot></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Integral-Mugagabea-1 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>11</mn><msup><mi>x</mi><mn>5</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>11</mn><mn>6</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>6</mn></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-10 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mi>x</mi></msqrt><mo>+</mo><mfrac><mn>3</mn><mrow><mn>5</mn><msup><mi>x</mi><mn>4</mn></msup></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>*</mo><msqrt><mi>x</mi></msqrt></mrow><mn>3</mn></mfrac><mo>+</mo><mfrac><mrow><mn>5</mn><mo>*</mo><mi>k</mi><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>1</mn></mrow><mrow><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-11 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><msqrt><mi>x</mi></msqrt></mfrac><mo>+</mo><mfrac><mi>x</mi><mn>3</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mfenced><mrow><mn>6</mn><mo>*</mo><mi>k</mi><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced><mo>*</mo><msqrt><mi>x</mi></msqrt><mo>+</mo><mn>12</mn><mo>*</mo><mi>x</mi></mrow><mrow><mn>6</mn><mo>*</mo><msqrt><mi>x</mi></msqrt></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-12 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><msup><mi>x</mi><mn>2</mn></msup><mroot><mi>x</mi><mn>3</mn></mroot></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>*</mo><msup><mroot><mi>x</mi><mn>3</mn></mroot><mn>2</mn></msup></mrow><mn>8</mn></mfrac><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mroot><mrow><mn>5</mn><msup><mi>x</mi><mn>2</mn></msup></mrow><mn>3</mn></mroot></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mo>*</mo><mroot><mn>5</mn><mn>3</mn></mroot><mo>*</mo><mi>x</mi><mo>*</mo><msup><mroot><mi>x</mi><mn>3</mn></mroot><mn>2</mn></msup></mrow><mn>5</mn></mfrac><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-1 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfenced><mn>3</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfenced><mn>4</mn></msup><mn>4</mn></mfrac><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mfrac><mn>27</mn><mn>2</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>27</mn><mo>*</mo><mi>x</mi><mo>+</mo><mfrac><mn>81</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-2 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mfenced><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mn>5</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mfrac><msup><mfenced><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mn>6</mn></msup><mn>6</mn></mfrac><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>16</mn><mn>3</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>6</mn></msup><mo>+</mo><mn>16</mn><mo>*</mo><msup><mi>x</mi><mn>5</mn></msup><mo>+</mo><mn>20</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mfrac><mn>40</mn><mn>3</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi><mo>+</mo><mfrac><mn>1</mn><mn>12</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-3 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><msup><mfenced><mrow><mn>5</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>25</mn><mo>*</mo><mi>k</mi><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>*</mo><mi>k</mi><mo>-</mo><mn>1</mn></mrow><mrow><mn>25</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-4 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><msqrt><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msqrt></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>k</mi><mo>*</mo><msqrt><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msqrt><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></mrow><msqrt><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msqrt></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-5 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mrow><mn>3</mn><mi>x</mi><mo>-</mo><mn>5</mn></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi></mrow><mn>3</mn></mfrac><mo>-</mo><mfrac><mn>10</mn><mn>9</mn></mfrac></mrow></mfenced><mo>*</mo><msqrt><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>5</mn></mrow></msqrt><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-6 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>3</mn><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mo>*</mo><mi>ln</mi><mfenced><mfenced close="|" open="|"><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced></mfenced></mrow><mn>2</mn></mfrac><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-7 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mroot><mfrac><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mn>2</mn></mfrac><mn>3</mn></mroot></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mfrac><mrow><mn>3</mn><mo>*</mo><msup><mroot><mn>2</mn><mn>3</mn></mroot><mn>2</mn></msup><mo>*</mo><mi>x</mi></mrow><mn>8</mn></mfrac><mo>+</mo><mfrac><mrow><mn>9</mn><mo>*</mo><msup><mroot><mn>2</mn><mn>3</mn></mroot><mn>2</mn></msup></mrow><mn>8</mn></mfrac></mrow></mfenced><mo>*</mo><mroot><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mn>3</mn></mroot><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-8 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><msqrt><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow></msqrt><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msqrt><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow></msqrt><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-3 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>3</mn><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>7</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>3</mn></mrow><msup><mi>x</mi><mn>2</mn></msup></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn><mo>*</mo><mi>ln</mi><mfenced><mfenced close="|" open="|"><mi>x</mi></mfenced></mfenced><mo>+</mo><mfrac><mrow><mn>6</mn><mo>*</mo><mi>k</mi><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>9</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>42</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>18</mn></mrow><mrow><mn>6</mn><mo>*</mo><mi>x</mi></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-4 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mrow><mn>5</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow><msqrt><mrow><mn>5</mn><mi>x</mi></mrow></msqrt></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>15</mn><mo>*</mo><mi>k</mi><mo>*</mo><msqrt><mi>x</mi></msqrt><mo>+</mo><mfenced><mrow><mn>10</mn><mo>*</mo><msqrt><mn>5</mn></msqrt><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mo>*</mo><msqrt><mn>5</mn></msqrt><mo>*</mo><mi>x</mi></mrow></mfenced></mrow><mrow><mn>15</mn><mo>*</mo><msqrt><mi>x</mi></msqrt></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-5 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>x</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-6 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>3</mn><mi>x</mi><mo>-</mo><msqrt><mn>3</mn></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><msqrt><mn>3</mn></msqrt><mo>*</mo><mi>x</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-7 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mi>x</mi><mn>2</mn></mfrac><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-8 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mo>-</mo><mn>8</mn><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><msup><mi>x</mi><mn>3</mn></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-9 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><msup><mi>x</mi><mn>2</mn></msup></mfrac><mo>+</mo><mfrac><mn>1</mn><msup><mi>x</mi><mn>3</mn></msup></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>*</mo><mi>k</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mrow><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-3-1 Ondorengo integral mugatua kalkulatu (Calcula la siguiente integral definida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msubsup»«mo»§#8747;«/mo»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msubsup»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfenced><mrow><mo>-</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>117</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-3-2 Ondorengo integral mugatua kalkulatu (Calcula la siguiente integral definida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msubsup»«mo»§#8747;«/mo»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msubsup»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>2</mn><mi>x</mi><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>6</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-3-3 Ondorengo integral mugatua kalkulatu (Calcula la siguiente integral definida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msubsup»«mo»§#8747;«/mo»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msubsup»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-3-4 Ondorengo integral mugatua kalkulatu (Calcula la siguiente integral definida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msubsup»«mo»§#8747;«/mo»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msubsup»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mrow><mn>3</mn><mi>x</mi></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>14</mn><mo>*</mo><msqrt><mn>3</mn></msqrt></mrow><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-5-1 Kalkulatu ondorengo funtzioaren integrala adierazitako tartean (Calcula la integral de la siguiente función en el intervalo indicado) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»u«/mi»«mi»n«/mi»«mi»t«/mi»«mi»z«/mi»«mi»i«/mi»«mi»o«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»f«/mi»«mi»u«/mi»«mi»n«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mfenced open=¨[¨ close=¨]¨»«mrow»«mo»#«/mo»«mi»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfenced»«mo»§#160;«/mo»«mi»t«/mi»«mi»a«/mi»«mi»r«/mi»«mi»t«/mi»«mi»e«/mi»«mi»a«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»o«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-5-2 Kalkulatu ondorengo funtzioaren integrala adierazitako tartean (Calcula la integral de la siguiente función en el intervalo indicado) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»u«/mi»«mi»n«/mi»«mi»t«/mi»«mi»z«/mi»«mi»i«/mi»«mi»o«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»f«/mi»«mi»u«/mi»«mi»n«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mfenced open=¨[¨ close=¨]¨»«mrow»«mo»#«/mo»«mi»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfenced»«mo»§#160;«/mo»«mi»t«/mi»«mi»a«/mi»«mi»r«/mi»«mi»t«/mi»«mi»e«/mi»«mi»a«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»o«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>9</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> MATE CCSS II/Tema 9-Probabilidad Ariketa_1 Tenemos una urna con siete bolas numeradas del 1 al 7. Realizamos el experimento, que consiste en sacar una bola de la urna, anotar el número y devolverla a la urna. Consideramos los siguientes sucesos: A=#A y B=#B. Determina los siguientes conjuntos:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»A«/mi»«mo largeop=¨true¨»§#8746;«/mo»«mi»B«/mi»«mo»=«/mo»«/mstyle»«/math»{#1}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8746;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#2}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8746;«/mo»«mi»B«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#3}   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«mi»B«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#4}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#5} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8745;«/mo»«mi»B«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#6}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfenced»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8746;«/mo»«mi»E«/mi»«/mrow»«/mfenced»«mo largeop=¨true¨»§#8745;«/mo»«mi»B«/mi»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#7}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfenced»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«mi»E«/mi»«/mrow»«/mfenced»«mo largeop=¨true¨»§#8745;«/mo»«mfenced»«mrow»«mi»B«/mi»«mo largeop=¨true¨»§#8746;«/mo»«mi»E«/mi»«/mrow»«/mfenced»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#8}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfenced»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8746;«/mo»«mi»B«/mi»«/mrow»«/mfenced»«mo largeop=¨true¨»§#8745;«/mo»«mfenced»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8746;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mrow»«/mstyle»«/math»{#9}   

                   

                                             

 

]]> 9.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mo>{</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mi>A</mi><mo>∪</mo><mi>B</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mi>A</mi><mo>∪</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mo>{</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>∪</mo><mi>B</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mi>A</mi><mo>∩</mo><mi>B</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi><mo>=</mo><mi>A</mi><mo>∩</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi><mo>=</mo><mo>{</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>∩</mo><mi>B</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol7</mi><mo>=</mo><mfenced><mrow><mi>A</mi><mo>∪</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>}</mo></mrow></mfenced><mo>∩</mo><mi>B</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol8</mi><mo>=</mo><mfenced><mrow><mi>A</mi><mo>∩</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>}</mo></mrow></mfenced><mo>∩</mo><mfenced><mrow><mi>B</mi><mo>∪</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol9</mi><mo>=</mo><mfenced><mrow><mo>{</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>∪</mo><mi>B</mi></mrow></mfenced><mo>∩</mo><mfenced><mrow><mo>{</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>∪</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>}</mo></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol7</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol8</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol9</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_10 Tenemos dos urnas que contienen:

urna A: 4 bolas rojas y 6 bolas blancas.

urna B: 7 bolas rojas y 3 bolas blancas.

Se elige, al azar, una urna y se extrae de ella una bola, introduciéndola después en la otra urna; y por último extraemos una bola de esa segunda urna. Calcular la probabilidad de que las dos bolas sean del mismo color.

                  P("Las dos bolas sean del mismo color")={#1}

Utiliza punto (.) para valor decimal.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>28</mn><mn>55</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>28</mn><mn>55</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_11 Tenemos una bolsa con 200 bolas numeradas del 1 al 200. Extraemos, al azar, una bola de la bolsa, calcular las siguientes probabilidades:

  • El número de la bola sea de una sola cifra.
  • El número de la bola sea de dos cifras.
  • El número de la bola sea de tres cifras.

 

                  P("El número de la bola sea de una sola cifra")={#1}

                  P("El número de la bola sea de dos cifras")={#2}

                  P("El número de la bola sea de tres cifras")={#3}

Utiliza punto (.) para valor decimal.

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>9</mn><mn>200</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>200</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>90</mn><mn>200</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>20</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>100</mn><mn>200</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_12 En una escuela de modelos hay un 80% de hombres y un 30% de mujeres que miden más de 1,76 metros. El número de mujeres de la escuela es el triple del número de hombres. Hemos elegido, al azar, un modelo y ha resultado que mide más de 1,76 metros, ¿cuál es la probabilidad de que sea mujer?.

 

                  P("Sea mujer/Mide más de 1,76")={#1}

Utiliza punto (.) para valor decimal.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>529</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.529</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_13 En una urna A hay seis bolas blancas y cuatro negras; en una segunda urna B hay cinco bolas blancas y dos negras. Se elige una urna, al azar, y se extraen de ella dos bolas (sin reposición). Calcular la probabilidad de que:

  • Las dos bolas sean blancas.
  • Las dos bolas sean del mismo color.
  • Las dos bolas sean de distinto color.

 

 

                  P("Las dos bolas sean blancas")={#1}

                  P("Las dos bolas sean del mismo color.")={#2}

                  P("Las dos bolas sean de distinto color.")={#3}

Utiliza punto (.) para valor decimal.

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><mfrac><mn>6</mn><mn>10</mn></mfrac><mo>*</mo><mfrac><mn>5</mn><mn>9</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><mfrac><mn>5</mn><mn>7</mn></mfrac><mo>*</mo><mfrac><mn>4</mn><mn>6</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>17</mn><mn>42</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><mfrac><mn>6</mn><mn>10</mn></mfrac><mo>*</mo><mfrac><mn>5</mn><mn>9</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><mfrac><mn>5</mn><mn>7</mn></mfrac><mo>*</mo><mfrac><mn>4</mn><mn>6</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><mfrac><mn>4</mn><mn>10</mn></mfrac><mo>*</mo><mfrac><mn>3</mn><mn>9</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><mfrac><mn>2</mn><mn>7</mn></mfrac><mo>*</mo><mfrac><mn>1</mn><mn>6</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>52</mn><mn>105</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mn>1</mn><mo>-</mo><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>53</mn><mn>105</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_2 Sean A y B dos cucesos aleatorios con:«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»A«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»B«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mrow»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«mi»B«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»4«/mn»«/mfrac»«/mrow»«/mrow»«/mstyle»«/math»

Hallar:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8746;«/mo»«mi»B«/mi»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#1}  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#2}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#3}   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8745;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#4}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«mo largeop=¨true¨»§#8746;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#5} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«mi»A«/mi»«mo largeop=¨true¨»§#8745;«/mo»«menclose notation=¨top¨»«mi»B«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#6}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»P«/mi»«mfenced»«mrow»«mi»B«/mi»«mo largeop=¨true¨»§#8745;«/mo»«menclose notation=¨top¨»«mi»A«/mi»«/menclose»«/mrow»«/mfenced»«mo»=«/mo»«/mstyle»«/math»{#7} 
]]> 7.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>7</mn><mn>12</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mfrac><mn>5</mn><mn>12</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi><mo>=</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi><mo>=</mo><mfrac><mn>1</mn><mn>12</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol7</mi><mo>=</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol7</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol8</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol9</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_3 Extraemos dos cartas de una baraja española. Calcula la probabilidad de obtener:

a) Dos ases:

                  P("Dos ases")={#1}

b) Ningún as:

                  P("Ningún as")={#2}

c) Algún as:

                  P("Algún as")={#3}

d) Sólo un as:

                  P("Sólo un as")={#4}

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>130</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>130</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>21</mn><mn>26</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>21</mn><mn>26</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>5</mn><mn>26</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>26</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mfrac><mn>12</mn><mn>65</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>12</mn><mn>65</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_4 Se lanzan tres monedas y se cuenta el número de caras que salen. Calcula la probabilidad de obtener:

a) Tres caras:

                  P("Tres caras")={#1}

b) Una cara:

                  P("Una cara")={#2}

c) Más de una cara:

                  P("Más de una cara")={#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>8</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>8</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>3</mn><mn>8</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>8</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_5 En un examen hay que elegir entre dos temas elegidos al azar entre 30. Un alumno ha estudiado sólo 12 temas. Halla la probabilidad de que:

a) El alumno haya estudiado los dos temas elegidos:

                  P("El alumno ha estudiado los dos temas")={#1}

b) El alumno sólo haya estudiado uno de los temas elegidos:

                  P("El alumno sólo ha estudiado uno de los temas")={#2}

c) El alumno no haya estudiado ninguno de los temas elegidos:

                  P("El alumno no ha estudiado ninguno de los temas")={#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>22</mn><mn>145</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>22</mn><mn>145</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>72</mn><mn>145</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>72</mn><mn>145</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>51</mn><mn>145</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>51</mn><mn>145</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_6 En una urna A hay 5 bolas numeradas del 1 al 5 y en otra urna B hay 4 bolas numeradas del 6 al 9. Se lanza una moneda; si sale cara, se extrae una bola de la urna A, y si sale cruz, se extrae una bola de la urna B. Calcula la probabilidad de que la bola extraída sea:

a) La que lleva el número 5:

                  P("número 5)={#1}

b) La que lleva el número 8:

                  P("número 8")={#2}

c) Lleve un número par:

                  P("número par")={#3}

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>10</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>10</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>1</mn><mn>8</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>8</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>9</mn><mn>20</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>20</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_7 Una urna contiene 5 bolas blancas, 3 rojas y 2 verdes. Hacemos dos extracciones con reemplazamiento. Calcula la probabilidad de obtener:

a) Dos bolas verdes:

                  P("2 verdes)={#1}

b) Ninguna bola verde:

                  P("ninguna verde")={#2}

c) Una bola verde:

                  P("1 verde")={#3}

Y si las extracciones son sin reemplazamientol:

                  P("2 verdes)={#4}

                  P("ninguna verde")={#5}

                  P("1 verde")={#6}

]]> 6.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>25</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>10</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>16</mn><mn>25</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>8</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>8</mn><mn>25</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>20</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mfrac><mn>1</mn><mn>45</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi><mo>=</mo><mfrac><mn>28</mn><mn>45</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol6</mi><mo>=</mo><mfrac><mn>16</mn><mn>45</mn></mfrac></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_8 Una fáfrica tiene tres máquinas que fabrican tornillos. La máquina A produce el 50% del total de los tornillos, la máquina B el 30% y la C el 20%. De la máquina A salen un 5% de tornilloos defectuosos, de la B un 4% y de la C un 2%.

Calcula la probabilidad de que un tornillo elegido al azar sea defectuoso.

                  P("Defectuoso")={#1}

Utiliza punto (.) para valor decimal.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>041</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.041</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_9 En un centro escolar los alumnos pueden optar por cursar como lengua extranjera inglés o francés. En un determinado curso, el 90% de los alumnos estudia inglés y el resto francés. El 30% de los que estudian inglés son chicos y de los que estudian francés son chicos el 40%. El elegido un alumno al azar, ¿cuál es la probabilidad de que sea chica?

                  P("Ser chica")={#1}

Utiliza punto (.) para valor decimal.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>69</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.69</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Selectividad-1 En la urna hay 4 bolas blancas, numeradas del 1 al 4, y 2 bolas negras, numeradas del 1 al 2. Mientras en la urna U2 , dos bolas blancas, numeradas del 1 al 2, y 4 bolas negras numeradas del 1 al 4. Si extraemos al azar una bola de cada urna, calcular:

  • La probabilidad de que las  dos bolas tengan el mismo número.
  • La probabilidad de que las  dos bolas sean del mismo color.

 

                  P("Las dos bolas tengan mismo número")={#1}

                  P("Las dos bolas sean del mismo color.")={#2}

                Utiliza punto (.) para valor decimal.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>5</mn><mn>18</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>18</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>4</mn><mn>9</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>9</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Selectividad-2 Cierta persona, para ir a trabajar,toma el autobús con una frecuencia del 30%, mientras que toma el metro con una frecuencia del 70%. Por otro lado, cuando toma el autobús, el 40% de las veces llega tarde, y si toma el metro el 20%. Un cierto día llego tarde,¿cuál es la probabilidad de que tomara el autobús?

 

                  P("Tomara el autobús/Llegó tarde")={#1}

                Utiliza punto (.) para valor decimal.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4615</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.4615</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Selectividad-3 En una de las dos oficinas de una pequeña empresa trabajan 2 hombres y 3 mujeres y en la otra trabajan 3 hombres y 4 mujeres. Si se eligen al azar dos personas de esa empresa, ¿cuál es la probabilidad de que trabajen en la misma oficina? ¿Y de que sean del mismo sexo?

 

                   P("Trabajen en la misma oficina")={#1}

                   P("Sean del mismo sexo")={#2}

                Utiliza punto (.) para valor decimal.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>62</mn><mn>132</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>31</mn><mn>66</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>31</mn><mn>66</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>31</mn><mn>66</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Selectividad-4 En un grupo de estudiantes el número de chicas es el doble que el de chicos, y se sabe que a 4 de cada 5 chicos les gusta el fútbol, pero a 3 de cada 4 chicas no les gusta. Se elige al azar una persona de ese grupo.

  • ¿Cuál es la probabilidad de que le guste el fútbol?
  • Si a la persona elegida le gusta el futbol, ¿cuál es la probabilidad de que se trate de una chica?

 

                   P("Le guste el fútbol")={#1}

                   P("Sea chica/Le gusta el fútbol")={#2}

                Utiliza punto (.) para valor decimal.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>7</mn><mn>30</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>7</mn><mn>30</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>5</mn><mn>7</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>7</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Selectividad-5 En una urna hay 2 bolas blancas y 3 negras. Se extrae una bola al azar y se retira sin mirar su color. A continuación se extraen de la urna dos bolas simultáneamente.

  • ¿Cuál es la probabilidad de que esas dos bolas sean de distinto color?
  • Si, realizado el experimento, las dos bolas resultaron ser de distinto color, ¿cuál es la probabilidad de que la bola retirada fuera blanca?

 

                   P("Esas dos bolas sean de distinto color")={#1}

                   P("La bola retirada fuera blanca/Esas dos bolas sean de distinto color")={#2}

                Utiliza punto (.) para valor decimal.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>3</mn><mn>5</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Selectividad-6 Se hacen dos lanzamientos de un dado equilibrado y se consideran los sucesos
A := “la suma de las dos puntuaciones es par” y B := “la primera de las puntuaciones es impar”.

  • Hallar P(A), P(B), «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»A«/mi»«mo»§#8745;«/mo»«mi»B«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»P«/mi»«mo»(«/mo»«mi»A«/mi»«mo»§#8746;«/mo»«mi»B«/mi»«mo»)«/mo»«/mrow»«/mstyle»«/math»
  • ¿Son independientes los sucesos A y B?

 

                   P(A)={#1}

                   P(B)={#2}

                   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»A«/mi»«mo»§#8745;«/mo»«mi»B«/mi»«mo»)«/mo»«/mrow»«/mstyle»«/math»={#3}

                   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»P«/mi»«mo»(«/mo»«mi»A«/mi»«mo»§#8746;«/mo»«mi»B«/mi»«mo»)«/mo»«/mrow»«/mstyle»«/math»={#4}

                   Los sucesos A y B {#5} independientes.

                Utiliza punto (.) para valor decimal.

]]> 5.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Selectividad-7 Cierto profesor olvida poner su despertador 3 de cada 10 días. Por otra parte, 1 de cada 10 días en los que pone el despertador llega tarde a su primera clase, mientras que llega a tiempo 2 de cada 10 días en los que olvida poner el despertador.

  • ¿Cuál es la probabilidad de que el profesor llegue a tiempo de dar su primera clase?
  • Si cierto día llegó tarde, ¿qué probabilidad hay de que olvidara poner el despertador?

 

                   P("El profesor llegue a tiempo de dar su primera clase")={#1}

                   P("Olvidara poner el despertador/Llegó tarde")={#2}

 

                Utiliza punto (.) para valor decimal.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>69</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.69</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>24</mn><mn>31</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>24</mn><mn>31</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Selectividad-8 En una residencia conviven 90 estudiantes, de los que 50 son franceses, 30 son ingleses, y el resto son rusos. Son varones 30 de los estudiantes franceses, 10 de los ingleses y 5 de los rusos.

  • Si se elige al azar un estudiante de esa residencia ¿cuál es la probabilidad de que se trate de una chica?
  • En caso de haber resultado elegida una chica ¿cuál es la probabilidad de que sea inglesa?

 

                   P("Sea chica")={#1}

                   P("Sea inglesa/Sea chica")={#2}

 

                Utiliza punto (.) para valor decimal.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mfrac><mn>4</mn><mn>9</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>9</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Matematika I // Matematicas I/Aritmetika Tresnak // Herramientas algebraicas Pregunta 25 Ebatzi / Calcula:

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mfenced»«mrow»«mn»3«/mn»«msup»«mi»y«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»y«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mstyle»«/math» c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mfenced»«mrow»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«msup»«mi»z«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mi»z«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mstyle»«/math»
d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mfenced»«mrow»«msup»«mi»z«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»z«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mstyle»«/math» e. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mfenced»«mrow»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»b«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mstyle»«/math» f. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mfenced»«mrow»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mstyle»«/math»
g. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfenced»«mrow»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mrow»«/mstyle»«/math» h. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»x«/mi»«/mrow»«/mfenced»«/mrow»«/mstyle»«/math» i. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfenced»«mrow»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«msup»«mi»z«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«msup»«mi»z«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«mfenced»«mrow»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«msup»«mi»z«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«msup»«mi»z«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«/mrow»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a)=#r1b)=#r2c)=#r3d)=#r4e)=#r5f)=#r6g)=#r7h)=#r8i)=#r9]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msup><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>8</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>16</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msup><mfenced><mrow><mn>3</mn><mo>*</mo><msup><mi>y</mi><mn>3</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi></mrow></mfenced><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>*</mo><msup><mi>y</mi><mn>6</mn></msup><mo>+</mo><mn>12</mn><mo>*</mo><msup><mi>y</mi><mn>4</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><msup><mi>y</mi><mn>2</mn></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><msup><mfenced><mrow><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><msup><mi>z</mi><mn>3</mn></msup><mo>+</mo><mi>z</mi></mrow></mfenced><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>*</mo><msup><mi>z</mi><mn>6</mn></msup><mo>-</mo><msup><mi>z</mi><mn>4</mn></msup><mo>+</mo><msup><mi>z</mi><mn>2</mn></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><msup><mfenced><mrow><msup><mi>z</mi><mn>2</mn></msup><mo>-</mo><mi>z</mi></mrow></mfenced><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>z</mi><mn>4</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>z</mi><mn>3</mn></msup><mo>+</mo><msup><mi>z</mi><mn>2</mn></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r5</mi><mo>=</mo><msup><mfenced><mrow><msup><mi>b</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><mi>b</mi></mrow></mfenced><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>b</mi><mn>4</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>b</mi><mn>3</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><msup><mi>b</mi><mn>2</mn></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r6</mi><mo>=</mo><msup><mfenced><mrow><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>4</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r7</mi><mo>=</mo><mfenced><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>4</mn></msup><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r8</mi><mo>=</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r9</mi><mo>=</mo><mfenced><mrow><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>*</mo><msup><mi>z</mi><mn>3</mn></msup><mo>-</mo><msup><mi>z</mi><mn>2</mn></msup></mrow></mfenced><mo>*</mo><mfenced><mrow><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>*</mo><msup><mi>z</mi><mn>3</mn></msup><mo>+</mo><msup><mi>z</mi><mn>2</mn></msup></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>16</mn></mfrac><mo>*</mo><msup><mi>z</mi><mn>6</mn></msup><mo>-</mo><msup><mi>z</mi><mn>4</mn></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn><mspace linebreak="newline"/><mi mathvariant="normal">e</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>5</mn><mspace linebreak="newline"/><mi>f</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>6</mn><mspace linebreak="newline"/><mi>g</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>7</mn><mspace linebreak="newline"/><mi>h</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>8</mn><mspace linebreak="newline"/><mi mathvariant="normal">i</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>9</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta 26_1 Egitzazu ondorengo kalkuloak/ Realiza las siguientes operaciones:

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mfenced»«mrow»«mn»2«/mn»«msup»«mi»z«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«mi»z«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»+«/mo»«mfenced»«mrow»«mi»z«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mrow»«/mfenced»«mfenced»«mrow»«mi»z«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfenced»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mn»3«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfenced><mrow><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">z</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">z</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">z</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></mrow></mfenced><mo>*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">z</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msup><mi>z</mi><mn>4</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><msup><mi>z</mi><mn>3</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><msup><mi>z</mi><mn>2</mn></msup><mo>+</mo><mn>13</mn><mo>*</mo><mi>z</mi><mo>+</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>5</mn></msup><mo>+</mo><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta 26_2 Egitzazu ondorengo kalkuloak/ Realiza las siguientes operaciones:

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«/mfenced»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mfenced»«mrow»«mn»5«/mn»«msup»«mi»y«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»8«/mn»«mi»y«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»+«/mo»«mfenced»«mrow»«mn»6«/mn»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»y«/mi»«/mrow»«/mfenced»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math»
c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»7«/mn»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«/mrow»«/mfenced»«/mstyle»«/math»  
]]> 1.0000000 0.3333333 0 0 a.Zatudura/Cociente=#rc1a.Hondarra/Resto=#rr1b.Zatudura/Cociente=#rc2b.Hondarra/Resto=#rr2c.Zatudura/Cociente=#rc3c.Hondarra/Resto=#rr3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rc1</mi><mo>=</mo><mi>coc</mi><mfenced><mrow><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr1</mi><mo>=</mo><mi>res</mi><mfenced><mrow><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rc2</mi><mo>=</mo><mi>coc</mi><mfenced><mrow><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">8</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi></mrow></mfenced><mo>,</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr2</mi><mo>=</mo><mi>res</mi><mfenced><mrow><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">8</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi></mrow></mfenced><mo>,</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rc3</mi><mo>=</mo><mi>coc</mi><mo>(</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr3</mi><mo>=</mo><mi>res</mi><mo>(</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow></mfenced><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>Z</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi mathvariant="normal">d</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>C</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>c</mi><mn>1</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><mi>H</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi>r</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>t</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>Z</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi mathvariant="normal">d</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>C</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>c</mi><mn>2</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>H</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi>r</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>t</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>Z</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi mathvariant="normal">d</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>C</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>c</mi><mn>3</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>H</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi>r</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>t</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta 27_1 Egitzazu ondorengo zatikiak, Ruffiniren erregela aplikatuz/ Realiza las siguientes divisiones, aplicando la regla de Ruffini:

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a.Zatudura/Cociente=#rc1a.Hondarra/Resto=#rr1b.Zatudura/Cociente=#rc2b.Hondarra/Resto=#rr2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rc1</mi><mo>=</mo><mi>coc</mi><mfenced><mrow><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr1</mi><mo>=</mo><mi>res</mi><mfenced><mrow><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rc2</mi><mo>=</mo><mi>coc</mi><mfenced><mrow><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr2</mi><mo>=</mo><mi>res</mi><mfenced><mrow><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>Z</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi mathvariant="normal">d</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>C</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>c</mi><mn>1</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><mi>H</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi>r</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>t</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>Z</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi mathvariant="normal">d</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>C</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>c</mi><mn>2</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>H</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi>r</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>t</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta 27_2 Egitzazu ondorengo zatikiak, Ruffiniren erregela aplikatuz/ Realiza las siguientes divisiones, aplicando la regla de Ruffini:

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mn»3«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»4«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»§#247;«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a.Zatudura/Cociente=#rc1a.Hondarra/Resto=#rr1b.Zatudura/Cociente=#rc2b.Hondarra/Resto=#rr2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rc1</mi><mo>=</mo><mi>coc</mi><mfenced><mrow><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr1</mi><mo>=</mo><mi>res</mi><mfenced><mrow><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rc2</mi><mo>=</mo><mi>coc</mi><mfenced><mrow><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr2</mi><mo>=</mo><mi>res</mi><mfenced><mrow><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>Z</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi mathvariant="normal">d</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>C</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>c</mi><mn>1</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><mi>H</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi>r</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>t</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>Z</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi mathvariant="normal">d</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>C</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>c</mi><mn>2</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>H</mi><mi>o</mi><mi>n</mi><mi mathvariant="normal">d</mi><mi>a</mi><mi>r</mi><mi>r</mi><mi>a</mi><mo>/</mo><mi>R</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>t</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>r</mi><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_1 Aukeratu itzazu zenbaki naturalak ez diren bost zenbaki oso.

Marca cinco números enteros que no sean naturales.

]]> 1.0000000 1.0000000 0 false true abc -3 -10 48 0

]]> -5

]]> -9

]]> -121

]]> Pregunta_12 Idatz itzazu ingurune eran ondoko tarteak.

Escribe en forma de entorno los siguientes intervalos.

 

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mo»-«/mo»«mn»5«/mn»«mo»,«/mo»«mn»4«/mn»«/mrow»«/mfenced»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mn»3«/mn»«mo»,«/mo»«mn»6«/mn»«/mrow»«/mfenced»«/mstyle»«/math» c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mn»0«/mn»«mo»,«/mo»«mn»3«/mn»«/mrow»«/mfenced»«/mstyle»«/math»   d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mo»-«/mo»«mn»10«/mn»«mo»,«/mo»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«/mstyle»«/math»

 

 

a.E{#1}({#2})

b. E{#3}({#4})

c. E{#5}({#6})

d.E{#7}({#8})

]]> 8.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_13_a Adieraz ezazu ingurune moduan 4 zenbakitik hiru unitate baino distantzia txikiagora dauden zenbaki errealen multzoa.

 

Expresa en forma de entorno el conjunto de números reales que disten de 4 en menos de tres unidades.

 

Ingurunea / Entorno E{#1}({#2})

]]> 2.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_13_b Adieraz ezazu tarte moduan 4 zenbakitik hiru unitate baino distantzia txikiagora dauden zenbaki errealen multzoa.

Expresa en forma de intervalo el conjunto de números reales que disten de 4 en menos de tres unidades.

]]> 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 iVBORw0KGgoAAAANSUhEUgAAAKwAAAA3CAIAAAAe8jYPAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYUCBw0fQsaxwAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nO2aXUhabxjA3zZK3N1geDFCvBkGbhc2kFEHdxBB6sCCbZJ0ERLSRa0MvBtdxNiFQ9wIWq4xIsZoIcioliBCSIQMESxq2IeCnQsDF8Fwm4TI+784/EPO8bzn+NHX9vyu2vu+5znP4/ntnOc92oQxRsC/zbWLTgC4eEACACQAQAIAgQQAAgkABBIACCQAEEgAIJAAQCABgEACAIEEAAIJAAQSAAgkANBVlGBjY6Ozs/Ois/iruHoSvH37dmho6KKz+KtokvnzsqmpqXfv3m1vbzfkrKlU6tWrV+UjN2/eZBjm4cOH5AN//PhhMBjS6fS1a3Xp++vXL51Od3BwUE+QJsviAgAAAQBJREFUOvn8+XNfX9/p53/37t3BwcHR0dHzz0TWR9nd3f3161e/3y8/7s7OztjYWHt7+40bN1paWpqamspnDw8PM5lMb2/v0tJST09PKpVSqVQfP3589uwZOez79+8HBgbqN8But7MsW0+QOkmlUtPT0+Ujfr8/GAx2d3dfQDZYCp/P9+DBA8ll5QQCAZ1O5/P54vH4ycmJcMHa2lp/fz/GWKPRYIyPj4+NRiPG2Gazff/+XSxsqVTSaDS5XK6qZHhEIhG9Xh+LxSRrX19f57KqGbEIhUKBoqj9/X1hDh0dHT6fr56T1oC0BBRFLS8vy4/Isqxer//9+zdhDU8CjHFXVxfG2AUKer8AAAEASURBVOfzraysiB01Pz8/MDAgP5OKKJXKUCiEMSZIwF08k8kUjUZrOws5gsPhCAQCFXNYXFykKKq2k9aMtAQKhaJYLJaP9PT0lF8qr9frcrlO/zkyMvLlyxdyTKEEXOUWi4VlWbGjKIqKx+OSCZNJJpPcHxUliEajhItHLlxOBIzx/Pz88PCwWA7FYlGhUMgrpWFISyBMNJ1Oa7XaQqGAMZ6dnbXZbOWzt2/fLpVK5Jg8Cebm5txut8vl8ng8YockEomOjg7JbOXDq0vy4mGpwuVE2N/fp2n69D9VRRHlPKMbi8T5crmcWq0Wjk9MTIyPjwcCAYqieE/95uZmyebjVAKVSqXAlhEEAAABAElEQVRWq61Wq1arXVhYIGTicDg+ffpEqqTKvoc3jhDyer2E+ByEwiUjFAoFo9GYyWTEcuBQq9V19j3VQpKgWCzabLZwOCycOjk5uXPnjk6nOzo64k1Veyfo6+tLJBK7u7sWi0VsfS6X02g0kmGrQngnoGmapmlyH0AoXDLCaSsglgNHKBSyWq28R/CZQpLAbrf7/f6KU5lMxuFw0DQtnHI6nVX1BNlslmuhJycn3W53xfUvX7588eIFOWa1EHoCwoUkFC4ZQf6NKhAIcJ/P+SBxJ7BarVwvXc7Pnz8Zhsnn8x6P582bN7xZlmXv37+fz+cJkXk9gdfr5fZFJpNpc3OTt7ghOR7kdAAAAQBJREFUO0MhhEfv2toaRVHCC0kuvHy9WAQ5OYTD4Ut0J8AiPcGTJ0+2trYwxqVSyWAwZLNZ3oKFhQXuPUEikahYjHB3QNN0LpdjWdZgMHCd1ykN2RkKkey/uAtZPkIunHscmM3mWCwmFkFODperJ+DgbRGdTmd5g7a6umq1WoVHJZNJp9Op1+uVSuX169eFjWFrayvDMLdu3eJGYrHYvXv3GIZpbW0dGRkpX9yQnaGQaptwmYVzj4Ouri45OQtzKJVKl3GLaDQaq3pZBOD/XxaZzeZv375VdWAkErmML4s+fPjQ2A36v0MNL54ZhpmZmTmjfMSQ9S0i963G69ev29raJBcDtUTCrqIAAAB1SURBVLG3t/f8+fM/f/4Eg8FzPrWsr+OCweCjR4+ePn161tn8yzx+/NhsNp+/AUj+7wmAv5ir98sioOGABABIAIAEAAIJAAQSAAgkABBIACCQAEAgAYBAAgCBBAACCQAEEgAIJAAQSAAgkABAIAGAQAIAIfQfETknf2dE7ZYAAAAASUVORK5CYII= 1.0000000 0.3333333 0 0 #r <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>interval_open_open</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pregunta_15 Idatz itzazu tarte eran ondoko multzoak (A, B eta C) eta kalkula itzazu ondokoak.

Escribe en forma de intervalo los siguientes conjuntos (A,B y C) y calcula los siguientes.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»A«/mi»«mo»=«/mo»«mo»{«/mo»«mi»x«/mi»«mo»§#8712;«/mo»«mi mathvariant=¨normal¨»§#8477;«/mi»«mo»/«/mo»«mo»-«/mo»«mn»2«/mn»«mo»§#8804;«/mo»«mi»x«/mi»«mo»§#60;«/mo»«mn»3«/mn»«mo»}«/mo»«/mrow»«/mstyle»«/math»  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»B«/mi»«mo»=«/mo»«mo»{«/mo»«mi»x«/mi»«mo»§#8712;«/mo»«mi mathvariant=¨normal¨»§#8477;«/mi»«mo»/«/mo»«mi»x«/mi»«mo»§#8805;«/mo»«mn»2«/mn»«mo»}«/mo»«/mstyle»«/math»  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»C«/mi»«mo»=«/mo»«mo»{«/mo»«mi»x«/mi»«mo»§#8712;«/mo»«mi mathvariant=¨normal¨»§#8477;«/mi»«mo»/«/mo»«mo»-«/mo»«mn»1«/mn»«mo»§#60;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»4«/mn»«mo»}«/mo»«/mstyle»«/math»

 

 

 

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»A«/mi»«mo»§#8746;«/mo»«mi»B«/mi»«/mrow»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»A«/mi»«mo»§#8746;«/mo»«mi»C«/mi»«/mstyle»«/math» c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»A«/mi»«mo»§#8745;«/mo»«mi»B«/mi»«/mstyle»«/math» d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»A«/mi»«mo»§#8745;«/mo»«mi»B«/mi»«mo»§#8745;«/mo»«mi»C«/mi»«/mstyle»«/math»

 

 

 

 

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 1.0000000 0.3333333 0 0 A=#aB=#bC=#ca)=#r1b)=#r2c)=#r3d)=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>interval_close_open</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>interval_close_open</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><cn>+∞</cn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>interval_open_close</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>a</mi><mo>∪</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>a</mi><mo>∪</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mi>a</mi><mo>∩</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mi>a</mi><mo>∩</mo><mi>b</mi><mo>∩</mo><mi>c</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi>B</mi><mo>=</mo><mo>#</mo><mi>b</mi><mspace linebreak="newline"/><mi>C</mi><mo>=</mo><mo>#</mo><mi>c</mi><mspace linebreak="newline"/><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_16 Adieraz ezazu era grafikoan eta idatz ezazu ingurune eran, -1 puntutik bi unitate baino hurbilago dauden zenbaki errealen multzoa.

 

Representa gráficamente y escribe en forma de entorno el conjunto de números reales que distan de -1 menos de dos unidades.

 Ingurunea / Entorno E{#1}({#2})

]]> 2.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_17 Aurkitu hurrengo logaritmo hauen balioa.

Calcula el valor de los siguientes logaritmos.

 

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mn»16«/mn»«/mrow»«/mstyle»«/math»={#1} b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/mstyle»«/math»={#2} c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi»log«/mi»«mn»1000«/mn»«/mrow»«/mstyle»«/math»={#3}
d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»log«/mi»«mn»0«/mn»«mo»,«/mo»«mn»01«/mn»«/mstyle»«/math»={#4} e. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»4«/mn»«/msub»«mn»64«/mn»«/mstyle»«/math»={#5} f. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»7«/mn»«/msub»«mn»49«/mn»«/mstyle»«/math»={#6}

 

 

 

 

 

]]> 6.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_18 Erabili oinarri aldaketaren propietatea hurrengo logaritmoak kalkulagailuaren laguntzaz lortzeko(Emaitza borobildu bi balio hamartarrera).

Calcula los siguientes logaritmos mediante la propiedad de cambio de base y utilizando la calculadora(Redondea el resultado  con dos valores decimales).

 Erabili . (puntua) balio hamartarra sartzeko eta ez , (koma).

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mn»1500«/mn»«/mstyle»«/math»={#1} b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»5«/mn»«/msub»«mn»200«/mn»«/mstyle»«/math»={#2} c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»100«/mn»«/msub»«mn»40«/mn»«/mstyle»«/math»={#3} d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»25«/mn»«/msub»«mn»360«/mn»«/mstyle»«/math»={#4}

 

 

 

 

 

]]> 4.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_19 Aurkitu hurrengo logaritmo hauen balioa.

Calcula el valor de los siguientes logaritmos.

 

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mn»1024«/mn»«/mstyle»«/math»={#1} b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»log«/mi»«mn»0«/mn»«mo»,«/mo»«mn»001«/mn»«/mstyle»«/math»={#2} c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mfrac»«mn»1«/mn»«mn»64«/mn»«/mfrac»«/mstyle»«/math»={#3}
d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«msqrt»«mn»3«/mn»«/msqrt»«/msub»«mn»3«/mn»«/mstyle»«/math»={#4} e. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«msqrt»«mn»3«/mn»«/msqrt»«/mstyle»«/math»={#5} f. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«msqrt»«mn»8«/mn»«/msqrt»«/mstyle»«/math»={#6}
g. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mfrac bevelled=¨true¨»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/msub»«mfrac»«mn»1«/mn»«msqrt»«mn»2«/mn»«/msqrt»«/mfrac»«/mstyle»«/math»={#7} h. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mi»§#960;«/mi»«/msub»«mn»1«/mn»«/mstyle»«/math»={#8}  

 

 

 

 

 

]]> 8.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_2 Lor ezazu m ezezagunaren balioa «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mi»m«/mi»«mn»12«/mn»«/mfrac»«/mstyle»«/math» eta «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mn»6«/mn»«mn»18«/mn»«/mfrac»«/mstyle»«/math» frakzioek zenbaki arrazional bera adieraz dezaten. Zein da horien ordezkari kanonikoa?

Halla el valor de  m  para que las fracciones «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mi»m«/mi»«mn»12«/mn»«/mfrac»«/mstyle»«/math» y «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mn»6«/mn»«mn»18«/mn»«/mfrac»«/mstyle»«/math» representen el mismo número racional. ¿Cuál es su representante canónico?

 

n_ren balioa  {#1}

Ordezkari kaninikoa / representante canónico  {#2}

]]> 2.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_20 Kalkulatu logaritmoen propietateak erabiliz.

Calcula utilizando las propiedades de los logaritmos.

 

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mn»64«/mn»«mo»+«/mo»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mfrac»«mn»1«/mn»«mn»4«/mn»«/mfrac»«mo»-«/mo»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«mn»9«/mn»«mo»-«/mo»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«msqrt»«mn»2«/mn»«/msqrt»«/mstyle»«/math»={#1}
d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mfrac»«mn»1«/mn»«mn»32«/mn»«/mfrac»«mo»+«/mo»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«mfrac»«mn»1«/mn»«mn»27«/mn»«/mfrac»«mo»-«/mo»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mn»1«/mn»«/mstyle»«/math»={#2}

 

 

 

 

 

]]> 2.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_21_23 Kalkulatu logaritmo hauen oinarria.

Calcula la base de los siguientes logaritmos.

 

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mn»125«/mn»«mo»=«/mo»«mn»3«/mn»«/mstyle»«/math»  x={#1} b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mfrac»«mn»1«/mn»«mn»9«/mn»«/mfrac»«mo»=«/mo»«mo»-«/mo»«mn»2«/mn»«/mstyle»«/math»  x={#2} c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mfrac»«mn»1«/mn»«mn»4«/mn»«/mfrac»«mo»=«/mo»«mn»2«/mn»«/mstyle»«/math»  x={#3}
d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mn»2«/mn»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mstyle»«/math»  x={#4}
 e. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mn»0«/mn»«mo»,«/mo»«mn»04«/mn»«mo»=«/mo»«mo»-«/mo»«mn»2«/mn»«/mstyle»«/math»   x={#5} f.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub»«mi»log«/mi»«mi»x«/mi»«/msub»«mn»4«/mn»«mo»=«/mo»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mstyle»«/math»    x={#6}

 

 

 

 

 

]]> 6.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_22 Kalkulatu x_en balioa berdintza hauetan.

Calcula el valor de x en las siguientes igualdades.

 Erabili . (puntua) balio hamartarra sartzeko.Emaitza borobildu 2 balio hamartarrekin.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»log«/mi»«mo»§#160;«/mo»«msup»«mn»3«/mn»«mi»x«/mi»«/msup»«mo»=«/mo»«mn»2«/mn»«/mstyle»«/math»  x={#1} b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»log«/mi»«mo»§#160;«/mo»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»=«/mo»«mo»-«/mo»«mn»3«/mn»«/mstyle»«/math»  x={#2}
c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mn»7«/mn»«mi»x«/mi»«/msup»«mo»=«/mo»«mn»115«/mn»«/mstyle»«/math»  x={#3}
 d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mn»5«/mn»«mrow»«mo»-«/mo»«mi»x«/mi»«/mrow»«/msup»«mo»=«/mo»«mn»3«/mn»«/mstyle»«/math»   x={#4}

 

 

 

 

 

]]> 4.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_24 Kalkulatu x_en balioa ondorengo adierazpenetan logaritmoen propietateak erabiliz.

Calcula el valor de x en las siguientes igualdades utilizando propiedades.

 

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»log«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»17«/mn»«mo»+«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»13«/mn»«/mstyle»«/math»  x={#1} b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»log«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»36«/mn»«mo»-«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»9«/mn»«/mstyle»«/math»  x={#2} c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»log«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mn»3«/mn»«mo».«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»5«/mn»«/mstyle»«/math» x={#3}
d.  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»log«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»12«/mn»«mo»+«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»25«/mn»«mo»-«/mo»«mn»2«/mn»«mo».«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»6«/mn»«/mstyle»«/math» x={#4}
 e. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»log«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mn»4«/mn»«mo».«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mi»log«/mi»«mo»§#160;«/mo»«mn»25«/mn»«/mstyle»«/math»   x={#5}  

 

 

 

 

 

]]> 5.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_28  

 

Sinplifika itzazu ondorengo zatikiak.

Simplifica las siguientes fraciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mi»a«/mi»«mi»x«/mi»«mo»-«/mo»«mi»b«/mi»«mi»c«/mi»«mo»+«/mo»«mi»b«/mi»«mi»x«/mi»«mo»-«/mo»«mi»a«/mi»«mi»c«/mi»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»c«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«/mstyle»«/math» c.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mstyle»«/math»
d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»c«/mi»«mi»x«/mi»«mo»+«/mo»«msup»«mi»c«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»c«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«/mstyle»«/math» e. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»a«/mi»«mi»x«/mi»«mo»+«/mo»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«msup»«mi»a«/mi»«mn»3«/mn»«/msup»«/mrow»«/mfrac»«/mstyle»«/math»  

 

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2c.=#r3d.=#r4e.=#r5]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>simplificar</mi><mfenced><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow><mrow><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mi>x</mi><mo>-</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mi>simplificar</mi><mfenced><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow><mrow><mi>x</mi><mo>+</mo><mn>6</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mi>c</mi></mrow><mrow><mi>x</mi><mo>+</mo><mi>c</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r5</mi><mo>=</mo><mfrac><mn>1</mn><mrow><mi>x</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn><mspace linebreak="newline"/><mi mathvariant="normal">e</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>5</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_29_1 Egitzazu ondorengo eragiketak, eta emaitza sinplifikatu, ahal den guztia.

Realiza las siguientes operaciones y simplifica al máximo el resultado.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mi»x«/mi»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mn»2«/mn»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mn»3«/mn»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»x«/mi»«mo»-«/mo»«mn»6«/mn»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_29_2 Egitzazu ondorengo eragiketak, eta emaitza sinplifikatu, ahal den guztia.

Realiza las siguientes operaciones y simplifica al máximo el resultado.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»-«/mo»«mfrac»«mn»1«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_29_3 Egitzazu ondorengo eragiketak, eta emaitza sinplifikatu, ahal den guztia.

Realiza las siguientes operaciones y simplifica al máximo el resultado.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»a«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mi»a«/mi»«/mrow»«/mfrac»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»6«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«/mrow»«/mfenced»«/mrow»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«/mfrac»«mo»-«/mo»«mfrac»«mn»1«/mn»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi></mrow><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mrow></mfenced></mrow><msup><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><msup><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>2</mn><mo>*</mo><mi>a</mi><mo>*</mo><mi>x</mi></mrow><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_29_4 Egitzazu ondorengo eragiketak, eta emaitza sinplifikatu, ahal den guztia.

Realiza las siguientes operaciones y simplifica al máximo el resultado.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mn»1«/mn»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»b«/mi»«mi»x«/mi»«mo»+«/mo»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mn»1«/mn»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»b«/mi»«mi»x«/mi»«mo»+«/mo»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»-«/mo»«mfrac»«mn»1«/mn»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«/mrow»«/mfrac»«mo»§#215;«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">b</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">b</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">b</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">b</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">b</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow></mfrac><mo>*</mo><mfrac><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mo>*</mo><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><msup><mi>b</mi><mn>4</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>b</mi><mn>2</mn></msup><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>x</mi><mn>4</mn></msup></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mi>x</mi></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_29_5 Egitzazu ondorengo eragiketak, eta emaitza sinplifikatu, ahal den guztia.

Realiza las siguientes operaciones y simplifica al máximo el resultado.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«mi»x«/mi»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»§#247;«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mstyle displaystyle=¨true¨»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»a«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mi»a«/mi»«/mrow»«/mfrac»«/mstyle»«mo»-«/mo»«mstyle displaystyle=¨true¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»a«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«/mstyle»«/mrow»«mrow»«mo»-«/mo»«mn»1«/mn»«mo»+«/mo»«msup»«mfenced»«mstyle displaystyle=¨true¨»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»a«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mi»a«/mi»«/mrow»«/mfrac»«/mstyle»«/mfenced»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»§#247;«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mi»a«/mi»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»a«/mi»«/mrow»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mfrac><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfrac><mfrac><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mrow></mfrac></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mfrac><mfrac><mrow><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi></mrow><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow></mfrac></mrow><mrow><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mfenced><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi></mrow><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi></mrow></mfrac></mfenced><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow></mfrac><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi></mrow><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">a</mi></mrow></mfrac></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_3 Sailka itzazu ondoko zenbakiak arrazionalak ala irrazionalak izatearen arabera.

Clasifica los siguientes números en racionales o irracionales.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mn»15«/mn»«mn»4«/mn»«/mfrac»«/mstyle»«/math»{#1} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msqrt»«mn»9«/mn»«/msqrt»«/mstyle»«/math»  {#2}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«mo»+«/mo»«msqrt»«mn»2«/mn»«/msqrt»«/mstyle»«/math»   {#3}
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«mo»,«/mo»«mn»2545454«/mn»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«/mstyle»«/math»{#4}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»6«/mn»«mo»,«/mo»«mn»352«/mn»«/mstyle»«/math»{#5} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»8«/mn»«mo»,«/mo»«mn»232232223«/mn»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«/mstyle»«/math»{#6}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo»-«/mo»«msqrt»«mn»15«/mn»«/msqrt»«/mstyle»«/math»  {#7}
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»4«/mn»«mo»,«/mo»«mn»56«/mn»«/mstyle»«/math»{#8}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»2«/mn»«mo»,«/mo»«mn»11221112221111«/mn»«mo».«/mo»«mo».«/mo»«mo».«/mo»«/mstyle»«/math»{#9}  
]]> 9.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_4 Esan zein zenbaki multzotakoa den zenbaki bakoitza (N, Z, Q edo I), baina kasuan kasuko multzorik txikiena adieraziz.

Indica el menor conjunto numérico (N, Z, Q o I) al que pertenecen estos números

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«mo»,«/mo»«mover»«mn»8«/mn»«mo»§#9180;«/mo»«/mover»«/mstyle»«/math»  {#1} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo»-«/mo»«mfrac»«mn»18«/mn»«mn»3«/mn»«/mfrac»«/mstyle»«/math»  {#2}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mroot»«mn»12«/mn»«mn»3«/mn»«/mroot»«/mstyle»«/math»   {#3}
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»5«/mn»«mo»,«/mo»«mn»9«/mn»«/mstyle»«/math»  {#4}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mfenced»«msqrt»«mn»5«/mn»«/msqrt»«/mfenced»«mn»2«/mn»«/msup»«/mstyle»«/math»  {#5} «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mn»27«/mn»«mn»8«/mn»«/mfrac»«/mstyle»«/math»  {#6}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo»-«/mo»«mn»2«/mn»«mo»,«/mo»«mover»«mn»9«/mn»«mo»§#9180;«/mo»«/mover»«/mstyle»«/math»   {#7}
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msqrt»«mn»7«/mn»«/msqrt»«/mstyle»«/math»  {#8}
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»1«/mn»«mo»,«/mo»«mn»4«/mn»«mover»«mn»9«/mn»«mo»§#9180;«/mo»«/mover»«/mstyle»«/math»   {#9}  
]]> 9.0000000 0.3333333 0 <question><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_5 Ondoko enuntziatuen artean, adieraz ezazu zein diren egiazkoak. Arrazoitu erantzuna:

Indica cuáles de los siguientes enunciados son verdaderos. Justifica tu respuesta:

]]> 1.0000000 1.0000000 0 true true abc Zenbaki natural oro zenbaki arrazionala da. Todo número natural es racional. Zenbaki erreal oro zenbaki irrazionala da. Todo número real es irracional. Badaude aldi berean arrazionalak eta irrazionalak diren zenbakiak. Hay números que son racionales e irracionales. Pregunta_6 Idatz itzazu notazio zientifikoan ondoko zenbakiak.

Escribe en notación científica los números siguientes.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mn»0«/mn»«mo»,«/mo»«mn»000043«/mn»«/mrow»«/mstyle»«/math» b. 12 milaren/milésimas
c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»143260000000«/mn»«/mstyle»«/math» d. mila milioi / mil millones
e. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mn»0«/mn»«mo»,«/mo»«mn»00045«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mn»11«/mn»«/msup»«/mrow»«/mstyle»«/math»  
]]> 1.0000000 0.3333333 0 0 a=#r1b=#r2c=#r3d=#r4e=#r5]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>000043</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.3</mn><mo>*</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>5</mn></mrow></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>012</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.012</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>143260000000</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mn>1000000000</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r5</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>00045</mn><mo>*</mo><msup><mn>10</mn><mn>4</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn><mspace linebreak="newline"/><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>5</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="check_scientific_notation"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">me</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_7 Egin itzazu ondoko eragiketak.

Realiza las siguientes operaciones

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»2«/mn»«mo»,«/mo»«mn»1«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mrow»«mo»-«/mo»«mn»6«/mn»«/mrow»«/msup»«mo».«/mo»«mn»1«/mn»«mo»,«/mo»«mn»4«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mrow»«mo»-«/mo»«mn»8«/mn»«/mrow»«/msup»«/mstyle»«/math» b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«mo»,«/mo»«mn»5«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mn»12«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mo»,«/mo»«mn»5«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mn»11«/mn»«/msup»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a=#r1b=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>2</mn><mo>.</mo><mn>1</mn><mo>*</mo><msup><mn>10</mn><mn>6</mn></msup><mo>*</mo><mn>1</mn><mo>.</mo><mn>4</mn><mo>*</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>8</mn></mrow></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.0294</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>3</mn><mo>.</mo><mn>5</mn><mo>*</mo><msup><mn>10</mn><mn>12</mn></msup><mo>+</mo><mn>2</mn><mo>.</mo><mn>5</mn><mo>*</mo><msup><mn>10</mn><mn>11</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3.75</mn><mo>*</mo><msup><mn>10</mn><mn>12</mn></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="check_scientific_notation"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">me</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_8 Adieraz itzazu notazio zientifikoan ondoko datuak (4 balio hamartarrekin)

Expresa en notación científica los datos siguientes(4 valores decimales).

a.Avogradoren konstantea/Constante de Avogrado  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»602204500000000000000000«/mn»«mo»§#160;«/mo»«mi»m«/mi»«mi»o«/mi»«msup»«mi»l«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/mstyle»«/math»
b. Lurraren masa / Masa de la tierra «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»5976300000000000000000«/mn»«mo»§#160;«/mo»«mi»t«/mi»«/mstyle»«/math»
c.Elektroiaren karga elektrikoa / Carga eléctrica del electrón  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»0«/mn»«mo»,«/mo»«mn»00000000000000000016021892«/mn»«mo»§#160;«/mo»«mi»C«/mi»«/mstyle»«/math»
d. Neutroiaren masa pausagunean / Masa del neutrón  en reposo «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»0«/mn»«mo»,«/mo»«mn»0000000000000000000000000016726485«/mn»«mo»§#160;«/mo»«mi»k«/mi»«mi»g«/mi»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a=#r1b=#r2c=#r3d=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>602204500000000000000000</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>602204500000000000000000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>5976300000000000000000</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5976300000000000000000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>00000000000000000016021892</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.6022</mn><mo>*</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>19</mn></mrow></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>0000000000000000000000000016726485</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.6726</mn><mo>*</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>27</mn></mrow></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="check_scientific_notation"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">me</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_9 Egin itzazu kalkulagailuaz ondoko eragiketak notazio zientifikoan, eta idatz itzazu emaitzak notazio berean(4 balio hamartar).

Efectúa con la calculadora las siguientes operaciones en notación científica y escribe el resultado en esta misma notación(4 valores decimales).

a.  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»1«/mn»«mo»,«/mo»«mn»1254«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mrow»«mo»-«/mo»«mn»2«/mn»«/mrow»«/msup»«mo»-«/mo»«mn»5«/mn»«mo»,«/mo»«mn»1«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mrow»«mo»-«/mo»«mn»4«/mn»«/mrow»«/msup»«/mstyle»«/math»
b.  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»2«/mn»«mo»,«/mo»«mn»5«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mo».«/mo»«mn»5«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mrow»«mo»-«/mo»«mn»3«/mn»«/mrow»«/msup»«/mstyle»«/math»
c.  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mn»8«/mn»«mo»,«/mo»«mn»14«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mrow»«mo»-«/mo»«mn»5«/mn»«/mrow»«/msup»«/mrow»«/mfenced»«mo».«/mo»«mfenced»«mrow»«mo»-«/mo»«mn»4«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mn»3«/mn»«/msup»«/mrow»«/mfenced»«/mstyle»«/math»
d.  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»6«/mn»«mo»,«/mo»«mn»5«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mn»7«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«mo»,«/mo»«mn»2«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mn»5«/mn»«/msup»«/mrow»«mrow»«mn»1«/mn»«mo»,«/mo»«mn»28«/mn»«mo».«/mo»«msup»«mn»10«/mn»«mrow»«mo»-«/mo»«mn»2«/mn»«/mrow»«/msup»«/mrow»«/mfrac»«/mstyle»«/math»
]]> 1.0000000 0.3333333 0 0 a=#r1b=#r2c=#r3d=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>254</mn><mo>*</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>2</mn></mrow></msup><mo>-</mo><mn>5</mn><mo>.</mo><mn>1</mn><mo>*</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>4</mn></mrow></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.01203</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>2</mn><mo>.</mo><mn>5</mn><mo>*</mo><msup><mn>10</mn><mn>3</mn></msup><mo>+</mo><mn>2</mn><mo>.</mo><mn>5</mn><mo>*</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>3</mn></mrow></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2500.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mfenced><mrow><mn>8</mn><mo>.</mo><mn>14</mn><mo>*</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>5</mn></mrow></msup></mrow></mfenced><mo>*</mo><mfenced><mrow><mo>-</mo><mn>4</mn><mo>*</mo><msup><mn>10</mn><mn>3</mn></msup></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>0.3256</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mfrac><mrow><mn>6</mn><mo>.</mo><mn>5</mn><mo>*</mo><msup><mn>10</mn><mn>7</mn></msup><mo>-</mo><mn>3</mn><mo>.</mo><mn>2</mn><mo>*</mo><msup><mn>10</mn><mn>5</mn></msup></mrow><mrow><mn>1</mn><mo>.</mo><mn>28</mn><mo>*</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>2</mn></mrow></msup></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.0531</mn><mo>*</mo><msup><mn>10</mn><mn>9</mn></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="check_scientific_notation"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="float_format">me</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Matematika I // Matematicas I/Ekuazioak eta ekuazio sistemak // Ecuaciones y sistemas de ecuaciones Pregunta_1 Ebatzi ondorengo ekuazio linealak.
Resuelve las siguientes ecuaciones lineales.
a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»+«/mo»«mn»7«/mn»«mo»=«/mo»«mi»x«/mi»«mo»-«/mo»«mfrac»«mrow»«mn»5«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«mn»4«/mn»«/mfrac»«/mrow»«/mstyle»«/math»
 b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfrac»«mrow»«mo»-«/mo»«mn»3«/mn»«mfenced»«mrow»«mn»5«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«/mfenced»«/mrow»«mn»10«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«/mrow»«mn»2«/mn»«/mfrac»«mo»=«/mo»«mn»7«/mn»«mo»-«/mo»«mfrac»«mrow»«mn»5«/mn»«mi»x«/mi»«/mrow»«mn»3«/mn»«/mfrac»«/mrow»«/mstyle»«/math»

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia

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 1.0000000 0.3333333 0 0 a.x=#r1b.x=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mn>2</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mn>5</mn><mo>-</mo><mi>x</mi></mrow><mn>4</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>9</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msub><mi>r11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mo>-</mo><mn>3</mn><mo>*</mo><mfenced><mrow><mn>5</mn><mo>-</mo><mi>x</mi></mrow></mfenced></mrow><mn>10</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mn>3</mn><mi>x</mi></mrow><mn>2</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mn>5</mn><mi>x</mi></mrow><mn>3</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>255</mn><mn>14</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msub><mi>r21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>255</mn><mn>14</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_10-a Ebatzi ondorengo ekuazioak.
Resuelve las siguientes ecuaciones.
a. #e1
 b. #e2
c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«mo»§#160;«/mo»«mn»9«/mn»«mo»-«/mo»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mn»2«/mn»«/mrow»«/mstyle»«/math»
 d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»ln«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mo»+«/mo»«mn»2«/mn»«mi»ln«/mi»«mo»§#160;«/mo»«mn»4«/mn»«mo»-«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mn»2«/mn»«/mrow»«/mstyle»«/math»

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math». Si no tiene solución escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 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 1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x=#r31d.x=#r41]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mi>log</mi><mo> </mo><mfenced><mrow><mn>6</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>-</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced><mo>=</mo><mi>log</mi><mo> </mo><mi>x</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>log</mi><mfenced><mrow><mn>6</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>-</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced><mo>=</mo><mi>log</mi><mo> </mo><mi>x</mi></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>+</mo><msqrt><mn>6</mn></msqrt></mrow></mfenced><mo>+</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>-</mo><msqrt><mn>6</mn></msqrt></mrow></mfenced><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>log</mi><mfenced><mrow><mi>x</mi><mo>+</mo><msqrt><mn>6</mn></msqrt></mrow></mfenced><mo>+</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>-</mo><msqrt><mn>6</mn></msqrt></mrow></mfenced><mo>=</mo><mn>1</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msub><mi>log</mi><mn>3</mn></msub><mn>9</mn><mo>-</mo><msub><mi>log</mi><mn>3</mn></msub><mi>x</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>log</mi><mn>3</mn></msub><mo> </mo><mn>9</mn><mo>-</mo><msub><mi>log</mi><mn>3</mn></msub><mo> </mo><mi>x</mi><mo>=</mo><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>:</mo><mo>=</mo><mi>ln</mi><mo> </mo><mi>x</mi><mo>=</mo><mi>ln</mi><mo> </mo><mn>3</mn><mo>+</mo><mn>2</mn><mo>*</mo><mi>ln</mi><mo> </mo><mn>4</mn><mo>-</mo><mi>ln</mi><mo> </mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ln</mi><mo> </mo><mi>x</mi><mo>=</mo><mi>ln</mi><mo> </mo><mn>3</mn><mo>+</mo><mn>2</mn><mo>*</mo><mi>ln</mi><mo> </mo><mn>4</mn><mo>-</mo><mi>ln</mi><mo> </mo><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e4</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><msup><exponentiale/><mrow><mfenced><mrow><mn>2</mn><mo>*</mo><mi>ln</mi></mrow></mfenced><mfenced><mn>4.</mn></mfenced><mo>+</mo><mn>0.40547</mn></mrow></msup></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><mn>24</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_10-b Ebatzi ondorengo ekuazioak.
Resuelve las siguientes ecuaciones.
a. #e1
 b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»+«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»8«/mn»«mo»=«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»4«/mn»«/mrow»«/mstyle»«/math»
c. #e3 d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mn»5«/mn»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mo»§#160;«/mo»«mn»4«/mn»«mo»+«/mo»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mo»§#160;«/mo»«mn»8«/mn»«mo»=«/mo»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mo»§#160;«/mo»«mi»x«/mi»«/mrow»«/mstyle»«/math»

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math». Si no tiene solución escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

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 1.0000000 0.3333333 0 0 a.x1=#r11a.x2=#r12b.x=#r21c.x=#r31d.x=#r41]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>2</mn><mo>*</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced><mo>-</mo><mi>log</mi><mo> </mo><mfenced><mrow><mn>5</mn><mi>x</mi><mo>+</mo><mn>6</mn></mrow></mfenced><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced><mo>-</mo><mi>log</mi><mfenced><mrow><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn></mrow></mfenced><mo>=</mo><mn>0</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>1.</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>*</mo><mi>log</mi><mo> </mo><mn>2</mn><mo> </mo><mo>+</mo><mi>log</mi><mo> </mo><mn>8</mn><mo>=</mo><mi>log</mi><mo> </mo><mn>4</mn><mo> </mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>*</mo><mi>log</mi><mo> </mo><mn>2</mn><mo>+</mo><mi>log</mi><mo> </mo><mn>8</mn><mo>=</mo><mi>log</mi><mo> </mo><mn>4</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>+</mo><mi>log</mi><mo> </mo><mi>x</mi><mo>=</mo><mi>log</mi><mo> </mo><mn>10</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>log</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>+</mo><mi>log</mi><mo> </mo><mi>x</mi><mo>=</mo><mi>log</mi><mo> </mo><mn>10</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3.7016</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3.7016</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>:</mo><mo>=</mo><mn>5</mn><mo>*</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mn>4</mn><mo>+</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mn>8</mn><mo>=</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mi>x</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>*</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mn>4</mn><mo>+</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mn>8</mn><mo>=</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mi>x</mi></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e4</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><msup><exponentiale/><mrow><mn>0.69315</mn><mo>*</mo><mfenced><mrow><mn>5</mn><mo>*</mo><mfenced><mrow><mi>t</mi><mo>↦</mo><mi>log</mi><mfenced><mrow><mi>t</mi><mo>,</mo><mn>2</mn></mrow></mfenced></mrow></mfenced></mrow></mfenced><mfenced><mn>4.</mn></mfenced><mo>+</mo><mn>2.0794</mn></mrow></msup></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><mn>8192</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8192</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>12</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_11 Ebatzi ondorengo ekuazioak.
Resuelve las siguientes ecuaciones.
a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»log«/mi»«mo»§#160;«/mo»«mn»4«/mn»«mo»-«/mo»«mn»2«/mn»«mi»log«/mi»«mo»§#160;«/mo»«mn»5«/mn»«mo»+«/mo»«mi»log«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«mi»log«/mi»«mo»§#160;«/mo»«mn»8«/mn»«mo»=«/mo»«mn»1«/mn»«/mrow»«/mstyle»«/math»
 b. #e2
c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mn»3«/mn»«mi»ln«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mi»ln«/mi»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mo»-«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mn»3«/mn»«/mrow»«/mstyle»«/math»
  

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math». Si no tiene solución escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 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 1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x=#r31]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mi>log</mi><mo> </mo><mn>4</mn><mo>-</mo><mn>2</mn><mo>*</mo><mi>log</mi><mo> </mo><mn>5</mn><mo>+</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>*</mo><mi>log</mi><mo> </mo><mn>8</mn><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>log</mi><mo> </mo><mn>4</mn><mo>-</mo><mn>2</mn><mo>*</mo><mi>log</mi><mo> </mo><mn>5</mn><mo>+</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>*</mo><mi>log</mi><mo> </mo><mn>8</mn><mo>=</mo><mn>1</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><msup><exponentiale/><mrow><mn>2.3026</mn><mo>*</mo><mfenced><mrow><mn>2</mn><mo>*</mo><mi>log</mi></mrow></mfenced><mfenced><mn>5.</mn></mfenced><mo>+</mo><mn>2.3026</mn><mo>*</mo><mfenced><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>*</mo><mi>log</mi></mrow></mfenced><mfenced><mn>8.</mn></mfenced><mo>+</mo><mn>0.91629</mn></mrow></msup><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mn>124</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>124</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><mi>log</mi><mo> </mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mi>log</mi><mo> </mo><mfrac><mrow><mn>7</mn><mi>x</mi><mo>+</mo><mn>8</mn></mrow><mn>2</mn></mfrac><mo>=</mo><mi>log</mi><mo> </mo><mn>2</mn><mo>*</mo><mi>x</mi><mo> </mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>log</mi><mo> </mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mi>log</mi><mfenced><mfrac><mrow><mn>7</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>8</mn></mrow><mn>2</mn></mfrac></mfenced><mo>=</mo><mi>log</mi><mo> </mo><mn>2</mn><mo>*</mo><mi>x</mi></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>8.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><mn>3</mn><mo>*</mo><mi>ln</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>-</mo><mi>ln</mi><mo> </mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfenced><mo>=</mo><mo>-</mo><mi>ln</mi><mo> </mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><mi>ln</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>-</mo><mi>ln</mi><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfenced><mo>=</mo><mo>-</mo><mi>ln</mi><mo> </mo><mn>3</mn></math></output></command><maction actiontype="comment"><comment style="font-family:SansSerif;font-size:14px;font-weight:bold"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></comment></maction><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_12 Ebatzi hiru metodoak erabiliz ondorengo ekuazio sistemak.
Resuelve utilizando los trs métods las siguientes sistemas de ecuaciones.
 
a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mi»x«/mi»«mn»3«/mn»«/mfrac»«mo»-«/mo»«mn»2«/mn»«mi»y«/mi»«mo»=«/mo»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»
 b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mo»-«/mo»«mn»6«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»
c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn mathsize=¨12px¨»3«/mn»«mfenced»«mrow»«mi mathsize=¨12px¨»x«/mi»«mo mathsize=¨12px¨»-«/mo»«mn mathsize=¨12px¨»1«/mn»«/mrow»«/mfenced»«mo mathsize=¨12px¨»+«/mo»«mn mathsize=¨12px¨»2«/mn»«mi mathsize=¨12px¨»y«/mi»«mo mathsize=¨12px¨»=«/mo»«mn mathsize=¨12px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨12px¨»2«/mn»«mi mathsize=¨12px¨»x«/mi»«mo mathsize=¨12px¨»-«/mo»«mn mathsize=¨12px¨»7«/mn»«mfenced»«mrow»«mi mathsize=¨12px¨»y«/mi»«mo mathsize=¨12px¨»+«/mo»«mn mathsize=¨12px¨»3«/mn»«/mrow»«/mfenced»«mo mathsize=¨12px¨»=«/mo»«mn mathsize=¨12px¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»
  

 

 

 

 

 Emaitza bakarrik adierazi, ez ipini aldagaia.

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 1.0000000 0.3333333 0 0 a.x=#r1xa.y=#r1yb.x=#r2xb.y=#r2yc.x=#r3xc.y=#r3y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mfrac><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo>=</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>9</mn><mn>124</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mfrac><mn>45</mn><mn>124</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>124</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>45</mn><mn>124</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e12</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mtd></mtr><mtr><mtd><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2x</mi><mo>=</mo><msub><mi>e12</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2y</mi><mo>=</mo><msub><mi>e12</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e13</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>74</mn><mn>25</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mfrac><mn>61</mn><mn>25</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3x</mi><mo>=</mo><msub><mi>e13</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>74</mn><mn>25</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3y</mi><mo>=</mo><msub><mi>e13</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>61</mn><mn>25</mn></mfrac></math></output></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>x</mi><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>y</mi><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>x</mi><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>y</mi><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mi>x</mi><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_13 Ebatzi ondorengo ekuazio sistemak.
Resuelve los siguientes sistemas de ecuaciones.
 
a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«mo»+«/mo»«mn»5«/mn»«mi»y«/mi»«/mrow»«mn»2«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»=«/mo»«mn»7«/mn»«mi»y«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»
 b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mfrac»«mi»x«/mi»«mi»y«/mi»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»7«/mn»«mo»-«/mo»«mn»4«/mn»«mi»y«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

 

 

 

 

 Emaitza bakarrik adierazi, ez ipini aldagaia.

]]> 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 1.0000000 0.3333333 0 0 a.x=#r1xa.y=#r1yb.x=#r2xb.y=#r2y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow><mn>3</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mn>1</mn><mo>+</mo><mn>5</mn><mi>y</mi></mrow><mn>2</mn></mfrac></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>7</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e12</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mi>x</mi><mi>y</mi></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mo>-</mo><mn>2</mn></mrow><mn>3</mn></mfrac></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mfenced style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>4</mn><mn>3</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2x</mi><mo>=</mo><msub><mi>e12</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>4</mn><mn>3</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2y</mi><mo>=</mo><msub><mi>e12</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e13</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>74</mn><mn>25</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mfrac><mn>61</mn><mn>25</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3x</mi><mo>=</mo><msub><mi>e13</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>74</mn><mn>25</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3y</mi><mo>=</mo><msub><mi>e13</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>61</mn><mn>25</mn></mfrac></math></output></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>x</mi><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>y</mi><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>x</mi><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_14-a Ebatzi ondorengo ekuazio sistemak.
Resuelve los siguientes sistemas de ecuaciones.
 
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»7«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

]]> 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 1.0000000 0.3333333 0 0 x1=#r1xy1=#r1yx2=#r2xy2=#r2y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mtd></mtr><mtr><mtd><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>4</mn><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>8</mn><mn>3</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>8</mn><mn>3</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>y</mi><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_14-b Ebatzi ondorengo ekuazio sistemak.
Resuelve los siguientes sistemas de ecuaciones.
 
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»y«/mi»«mo»-«/mo»«mi»x«/mi»«mo»=«/mo»«mo»-«/mo»«mn»1«/mn»«mo»+«/mo»«mi»x«/mi»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

]]> 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 1.0000000 0.3333333 0 0 x1=#r1xy1=#r1yx2=#r2xy2=#r2y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mtd></mtr><mtr><mtd><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>5</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mfrac><mn>7</mn><mn>5</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>1</mn><mn>5</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>7</mn><mn>5</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>y</mi><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_14-c Ebatzi ondorengo ekuazio sistemak.
Resuelve los siguientes sistemas de ecuaciones.
 
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mi»y«/mi»«mo»-«/mo»«mi»x«/mi»«mo»+«/mo»«mn»12«/mn»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»8«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

]]> 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 1.0000000 0.3333333 0 0 x1=#r1xy1=#r1yx2=#r2xy2=#r2y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">12</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">8</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3</mn><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>4</mn><mn>9</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mfrac><mn>28</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>4</mn><mn>9</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>28</mn><mn>3</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>y</mi><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_14-d Ebatzi ondorengo ekuazio sistemak.
Resuelve los siguientes sistemas de ecuaciones.
 
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»y«/mi»«mo»=«/mo»«msqrt»«mn»3«/mn»«/msqrt»«mi»x«/mi»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mfenced»«mrow»«mi»y«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

]]> iVBORw0KGgoAAAANSUhEUgAAAIUAAAAlCAIAAADjpL2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYGCCYtxtnzagAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nO2a27KDIAxFpXP+/5fpg1OGEyMSc2GLrCfb0TTDTkJCTTnnbQHDZ7QDi38sPbDg9Ugpib7Xk3442X8Kf8evhoixtrEdJj/YpVlLFgOTHyJK0uSc92upbPtTrN5641aEecJHPVmd8vEsS0xcdDVuQoAn1/1VZ6XSe1lCz8O4Fd6edNWrepnWRuLKdX7kio0LkF0hp+7L1TigJ9p50DBdjqZwcjHME0aP0vBcPkzuuRc7ZRI8iqE3Xv+E5nG9J51PoQSgHwhJ1t+YTX5+hSDGJunKIvQYdTBVdmCEdqCTV+QHSIfWg/a8ZBSdk2OjUFjNnrYzLNVDH0fFj7O2hJzEON9hpQAAAKtJREFU3DNuchxweU/DPUNPaqgehtaJMKzlgZttT1zHu/fUeqUHoe86MrMe9TY+dvUb/ynQOzHD5LVM3u8+Dlm9Ckh/kApDCPNKoEdd/pzOIQJ+4gaRXgnqVcDqgAgwkDv7B07kzodYj5iDoNdKLp4/2i+aTEnkcSTiPAgo9tmhnDlw8wegGIUA37D0IJ3lWGcIMYEimz/KdcA8iEPkC5K4xeGdYNWrxdIDiy8nDBeBqL7adAAAAABJRU5ErkJggg== 1.0000000 0.3333333 0 0 x1=#r1xy1=#r1y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><msqrt><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msqrt><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mtd></mtr><mtr><mtd><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><msqrt><mn>3</mn></msqrt><mn>2</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mfrac><mn>3</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>3</mn></msqrt><mn>2</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>2</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>3</mn></msqrt><mn>2</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_15-a Ebatzi ondorengo ekuazio sistemak.
Resuelve los siguientes sistemas de ecuaciones.
 
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mo»-«/mo»«mn»12«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

]]> 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 1.0000000 0.3333333 0 0 x1=#r1xy1=#r1yx2=#r2xy2=#r2y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">12</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>3</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>5</mn><mo>,</mo><mi>y</mi><mo>=</mo><mfrac><mn>22</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>22</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>y</mi><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_15-b Ebatzi ondorengo ekuazio sistemak.
Resuelve los siguientes sistemas de ecuaciones.
 
 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«mi»y«/mi»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»16«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»6«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

]]> 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 1.0000000 0.3333333 0 0 x1=#r1xy1=#r1yx2=#r2xy2=#r2y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">16</mn></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>5</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>5</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>y</mi><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>x</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_16 A eta B hirien arteko distantzia 7 km-koa da. Bi pertsona aldi berean irten dira bi hirietatik, batetik besterantz, bata 12 km/h-ko abiaduraz eta bestea 9 km/h-ko abiaduraz. Zenbat denbora pasatuko da biak elkarrekin egon arte?

La distancia entre dos ciudades A y B es de 7 km. Si dos personas salen al mismo tiempo de dichas ciudades, una al encuentro de la otra, y una va a 12 km/h y la otra a 9 km/h, ¿cuánto tiempo tardarán en encontrarse?

 

Tardaran / Pasatuko dira {#1} minutos / minutu.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>20</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_17 Determina ezazu 14 cm-ko perimetroa duen triangelu isoszele baten azalera, alde desberdinaren luzera 6 cm-koa dela jakinik.

Determina el área de un triángulo isósceles de perímetro 14 cm y cuyo lado desigual mide 6 cm.

 Borobildu emaitza / Redondea el resultado

 Azalera / Area {#1} cm2.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>3</mn><mo>*</mo><msqrt><mn>7</mn></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_18  

Lor itzazu ondoz ondoko bi zenbaki, elkarren arteko biderkadura 15006 dela jakinik.

Halla dos números consecutivos que multiplicados den 15006.

 Lehenengo zenbaki txikiena sartu / Introduce primero el menor número

 Zenbakiak / Números:

{#1} eta {#2}

{#3}  eta  {#4}

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>123</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mo>-</mo><mn>122</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>122</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mn>123</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_19 Triangelu zuzen bateko kateto bat 4 cm luze da, eta perimetroa 12 cm luze. Lor itzazu triangeluaren neurriak.

 

En un triángulo rectángulo, uno de los catetos mide 4 cm y el perímetro, 12 cm. Halla sus dimensiones.

 

 Neurriak / Dimensiones:

Hipotenusa {#1} cm  eta  Katetoa  {#2}  cm

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mn>3</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_2 Ebatzi ondorengo ekuazio linealak.
Resuelve las siguientes ecuaciones lineales.
a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»4«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»8«/mn»«/mfrac»«mo»+«/mo»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mfrac»«mrow»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»=«/mo»«mn»3«/mn»«mi»x«/mi»«/mstyle»«/math»
 b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«msqrt»«mn»3«/mn»«/msqrt»«mo»+«/mo»«mi»x«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«msqrt»«mn»3«/mn»«/msqrt»«mo»-«/mo»«mi»x«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mstyle»«/math»
c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mfrac»«mn»5«/mn»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«mfenced»«mrow»«mfrac»«mi»x«/mi»«mn»12«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»6«/mn»«/mfrac»«/mrow»«/mfenced»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«mo»+«/mo»«mi»x«/mi»«/mrow»«mn»3«/mn»«/mfrac»«/mstyle»«/math» d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«mfenced»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mfenced»«mrow»«mn»1«/mn»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«/mrow»«/mfenced»«/mrow»«/mfenced»«mo»=«/mo»«mfrac»«mrow»«mn»2«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«mn»5«/mn»«/mfrac»«/mstyle»«/math»

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia

]]> 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1.0000000 0.3333333 0 0 a.x=#r1b.x=#r2c.x=#r3d.x=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">8</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>10</mn><mn>47</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msub><mi>r11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>10</mn><mn>47</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfenced><mrow><msqrt><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msqrt><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow></mfenced><mo>*</mo><mfenced><mrow><msqrt><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msqrt><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msub><mi>r21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac><mo>*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac><mo>*</mo><mfenced><mrow><mfrac><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">12</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn></mfrac></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>155</mn><mn>28</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><msub><mi>r31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>155</mn><mn>28</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac><mo>*</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac></mrow></mfenced></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn></mfrac></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><msub><mi>r41</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_20 Kalkula itzazu errektangelu baten neurriak, 44 cm-ko perimetroa eta 105 cm2-ko azalera dituela jakinik.

Calcula las dimensiones de un rectángulo si su perímetro tiene una longitud de 44 cm y su área, una superficie de 105 cm2.

 Oinarria alderik luzeena hartu / Haz que sea la base el lado más grande.

 Neurriak / Dimensiones:

Oinarria / Base {#1} cm  eta  Altuera / Altura  {#2}  cm

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>15</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mn>7</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_21 Famili batek 675 €-ko oparia eman nahi du. Gurasoek kantitate bat eman dute eta hiru seme-alaben artean gurasoek emanikoaren laurdena eman dute. Zenbat eman du seme-alaba bakoitzak, hirurek kantitate berdina jarri badute?

Una familia decide dar un donativo de 675 €. Los padres aportan conjuntamente cierta cantidad y entre los tres hijos entregan la cuarta parte de lo que dan sus padres. ¿Cuánto ha donado cada hijo si cada uno de ellos aporta lo mismo?

Erantzuna / Respuesta :

Seme-alaba bakoitzak / Cada hijo aporta  {#1}  € ipintzen du.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>45</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mn>7</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_22 Guraso batek 18 € banatu ditu seme-alaben artean, halako moldez non nagusiak ertainak baino 3 € gehiago hartu duen, eta honek txikiak baino 1,2 € gehiago. Zenbat diru hartu du seme-alaba bakoitzak?

Un padre reparte entre sus hijos 18 €, de forma que el mayor reciba 3 € más que el mediano, y éste 1,2 € más que el pequeño. ¿Cuánto recibe cada uno de los hijos?

 

Erantzuna / Respuesta :

Nagusiak / Hijo mayor {#1}  € , Ertainak / Intermedio {#2}  €  eta Txikiak / Pequeño {#3} €.

]]> 3.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>8</mn><mo>.</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>5</mn><mo>.</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>4</mn><mo>.</mo><mn>2</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_23 Lor itzazu ondoz ondoko lau zenbaki oso, lauren baturak 366 balio duela jakinik.

Halla cuatro números enteros consecutivos que sumen 366.

Erantzuna / Respuesta :(Eman ordenatuta, txikienetik handienera / Ordenalos de menor a mayor)

Zenbakiak dira / Los números son {#1}  ,  {#2}  , {#3}   eta {#4}
.

]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>90</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>91</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>92</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mn>93</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_24 Lor itzazu bi zenbaki oso, beren arteko batura 7 dela eta beren alderantzizkoen arteko batura 7/12.

 

Halla dos números sabiendo que suman 7 y sus inversos, 7/12 .

 

Erantzuna / Respuesta :(Eman ordenatuta, txikienetik handienera / Ordenalos de menor a mayor)

Zenbakiak dira / Los números son {#1}  eta {#2}
.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>4</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_25 Kalkula itzazu errektangelu baten neurriak, 20 cm-ko perimetroa eta «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msqrt»«mn»58«/mn»«/msqrt»«/mstyle»«/math» cm-ko diagonala dituela jakinik.

Calcula las dimensiones de un rectángulo si su perímetro tiene una longitud de 20 cm y su diagonal mide  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msqrt»«mn»58«/mn»«/msqrt»«/mstyle»«/math» cm.

 Oinarria alderik luzeena hartu / Haz que sea la base el lado más grande.

 Neurriak / Dimensiones:

Oinarria / Base {#1} cm  eta  Altuera / Altura  {#2}  cm

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>7</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mn>3</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_26 Lor ezazu bi zifrako zenbaki bat, jakinik ezen bi zifren batura 8 dela, eta zenbaki hori zifrak alderantziz jarrita lortzen den zenbakiaren artean zatitzean zatidura 4 dela, eta hondarra 3.

Halla un número de dos cifras si sabemos que la suma de ambas es 8 y que, al dividirlo por el que resulta de invertir el orden de sus cifras, se obtiene 4 de cociente y 3 de resto.

 

Zenbakia / Número: {#1} .

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>71</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_27 Zaldi bat eta asto bat elkarrekin ibiltzen ziren eta sakuak gainean zeramatzaten. Zaldia kexatuz zihoan pisua zela eta astoak esan zion: “zergatik kexatzen zara, nik zure saku bat  hartuko banu, nire karga zurearen bikoitza izango zen. Ostera, saku bat ematen badizut, zure karga nirea bezalakoa izango zen. Zenbat saku daramatza bakoitzak?

Un caballo y un burro iban transportando sacos uno al lado del otro. El caballo iba preocupado por el peso que llevaba cada uno y, entonces el burro le dijo: “¿Por qué te preocupas? Si yo cogiera uno de tus sacos mi carga sería el doble de la tuya. Sin embargo, si te diera un saco, tu carga sería igual a la mía”. ¿Cuántos sacos lleva cada uno?

Zaldiak  / El caballo  {#1}  saku / sacos.

Astoak / El burro   {#2}  saku / sacos.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>7</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_28 Iturri batek ontzi bat 6 ordutan betetzen du eta beste batekin batera 4 ordutan betetzen du. Zenbat denboratan betetzen du bigarren iturriak ontzia?.

Una fuente precisa de 6 horas para llenar un recipiente, pero si le acompaña una segunda fuente el recipiente se llena en 4 horas. ¿Cuánto tiempo precisa la segunda fuente para llenar ella sola el recipiente?

 

Erantzuna:  {#1}  ordutan / horas.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_29 IIturri batek ontzi bat 2 ordutan betetzen du. Beteta dagoenean, iturri itxi gabe, tapoia kentzen da eta ontzia 4 ordutan husten da. Iturria itxiko balitz zenbat denboratan hustuko zen?.

 

Un grifo precisa de 2 horas para llenar un recipiente. Cuando el recipiente está lleno, sin cerrar el grifo, se quita el tapón del recipiente y en 4 horas está vacío. ¿Cuánto tiempo sería necesario para que el recipiente se vacíe, si se cerrada el grifo?

 

Erantzuna:  {#1}  minutu / minutos.

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>80</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_3 Ebatzi ondorengo ekuazioak.
Resuelve las siguientes ecuaciones.
a. #e1
 b. #e2
c. #e3 d. #e4

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> iVBORw0KGgoAAAANSUhEUgAAAIUAAAAlCAIAAADjpL2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYGCCYtxtnzagAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nO2a27KDIAxFpXP+/5fpg1OGEyMSc2GLrCfb0TTDTkJCTTnnbQHDZ7QDi38sPbDg9Ugpib7Xk3442X8Kf8evhoixtrEdJj/YpVlLFgOTHyJK0uSc92upbPtTrN5641aEecJHPVmd8vEsS0xcdDVuQoAn1/1VZ6XSe1lCz8O4Fd6edNWrepnWRuLKdX7kio0LkF0hp+7L1TigJ9p50DBdjqZwcjHME0aP0vBcPkzuuRc7ZRI8iqE3Xv+E5nG9J51PoQSgHwhJ1t+YTX5+hSDGJunKIvQYdTBVdmCEdqCTV+QHSIfWg/a8ZBSdk2OjUFjNnrYzLNVDH0fFj7O2hJzEON9hpQAAAKtJREFU3DNuchxweU/DPUNPaqgehtaJMKzlgZttT1zHu/fUeqUHoe86MrMe9TY+dvUb/ynQOzHD5LVM3u8+Dlm9Ckh/kApDCPNKoEdd/pzOIQJ+4gaRXgnqVcDqgAgwkDv7B07kzodYj5iDoNdKLp4/2i+aTEnkcSTiPAgo9tmhnDlw8wegGIUA37D0IJ3lWGcIMYEimz/KdcA8iEPkC5K4xeGdYNWrxdIDiy8nDBeBqL7adAAAAABJRU5ErkJggg== 1.0000000 0.3333333 0 0 a.x1=#r11a.x2=#r12b.x=#r21c.x1=#r31c.x2=#r32d.x1=#r41d.x2=#r42]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>6</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mi>x</mi><mo>+</mo><mn>9</mn><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>9</mn><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>5</mn><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced><mo>=</mo><mi>x</mi><mo>+</mo><mn>13</mn></math></input><output><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>12</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>42</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_30 Langile batek kamioi birekin lan egiten du A eta B. A kamioiak 15 tona eta B kamioiak 9 tona eraman ditzakete.300 tona are eramateagatik 108 €-tako gastua izan zuen. Zenbat bidai egin zituen kamioi bakoitzarekin ,A kamioiak  6 € eta B kamioiak 3 €-ko gastuak baldin badute?

Un trabajador utiliza dos tipos de camiones (A y B) para desempeñar su trabajo. El camión A puede trasportar 15 toneladas y el camión B 9. Por llevar 300 toneladas de arena tuvo un gasto de 108 €. ¿Cuántos viajes realizó cada camión, si el camión A presenta un gasto de 6 € por viaje y el camión B de 3 € por viaje?

  Erantzuna: 

               {#1}  bidai A kamioiak  / viajes camión A.

               {#2}  bidai B kamioiak  / viajes camión B.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>20</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>15</mn><mi>x</mi><mo>+</mo><mn>9</mn><mi>y</mi><mo>=</mo><mn>300</mn></mtd></mtr><mtr><mtd><mn>6</mn><mi>x</mi><mo>+</mo><mn>3</mn><mi>y</mi><mo>=</mo><mn>108</mn></mtd></mtr></mtable></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>8</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>20</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_4 Ebatzi ondorengo ekuazioak.
Resuelve las siguientes ecuaciones.
a. #e1
 b. #e2
c. #e3  

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> 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1.0000000 0.3333333 0 0 a.x1=#r11a.x2=#r12a.x3=#r13a.x4=#r14b.x1=#r21b.x2=#r22c.x1=#r31c.x2=#r32c.x3=#r33c.x4=#r34]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>9</mn><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>12</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>12</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced 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xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msqrt><mn>2</mn></msqrt></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>12</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>3</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>13</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>4</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>14</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>22</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>3</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>33</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>4</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>34</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_5 Ebatzi ondorengo ekuazioak aurretik faktoreetan deskonposatuz.
Resuelve las siguientes ecuaciones descomponiendo en factores previamente.
a. #e1
 b. #e2
c. #e3  

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> iVBORw0KGgoAAAANSUhEUgAAAIUAAAAlCAIAAADjpL2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYGCCYtxtnzagAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nO2a27KDIAxFpXP+/5fpg1OGEyMSc2GLrCfb0TTDTkJCTTnnbQHDZ7QDi38sPbDg9Ugpib7Xk3442X8Kf8evhoixtrEdJj/YpVlLFgOTHyJK0uSc92upbPtTrN5641aEecJHPVmd8vEsS0xcdDVuQoAn1/1VZ6XSe1lCz8O4Fd6edNWrepnWRuLKdX7kio0LkF0hp+7L1TigJ9p50DBdjqZwcjHME0aP0vBcPkzuuRc7ZRI8iqE3Xv+E5nG9J51PoQSgHwhJ1t+YTX5+hSDGJunKIvQYdTBVdmCEdqCTV+QHSIfWg/a8ZBSdk2OjUFjNnrYzLNVDH0fFj7O2hJzEON9hpQAAAKtJREFU3DNuchxweU/DPUNPaqgehtaJMKzlgZttT1zHu/fUeqUHoe86MrMe9TY+dvUb/ynQOzHD5LVM3u8+Dlm9Ckh/kApDCPNKoEdd/pzOIQJ+4gaRXgnqVcDqgAgwkDv7B07kzodYj5iDoNdKLp4/2i+aTEnkcSTiPAgo9tmhnDlw8wegGIUA37D0IJ3lWGcIMYEimz/KdcA8iEPkC5K4xeGdYNWrxdIDiy8nDBeBqL7adAAAAABJRU5ErkJggg== 1.0000000 0.3333333 0 0 a.x1=#r11a.x2=#r12a.x3=#r13a.x4=#r14b.x1=#r21b.x2=#r22b.x3=#r23c.x1=#r31c.x2=#r32]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>5</mn><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>30</mn><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mi>x</mi><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>30</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>6</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><msqrt><mn>5</mn></msqrt><mn>5</mn></mfrac></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><msqrt><mn>5</mn></msqrt><mn>5</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>4</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><msqrt><mn>5</mn></msqrt><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r13</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>5</mn></msqrt><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r14</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><msup><mi>x</mi><mn>5</mn></msup><mo>-</mo><mn>4</mn><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>5</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r23</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r33</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>4</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r34</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>12</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>3</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>13</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>4</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>14</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>22</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>3</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>23</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_6 Ebatzi ondorengo ekuazioak aurretik faktoreetan deskonposatuz.
Resuelve las siguientes ecuaciones descomponiendo en factores previamente.
a. #e1
 b. #e2
c. #e3  

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> 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 1.0000000 0.3333333 0 0 a.x1=#r11a.x2=#r12b.x1=#r21c.x1=#r31c.x2=#r32]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>7</mn></mrow><mn>3</mn></mfrac><mo>=</mo><mfrac><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac><mo>+</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo>+</mo><mn>7</mn></mrow><mn>3</mn></mfrac><mo>=</mo><mfrac><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac><mo>+</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>5</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r13</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r14</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>4</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac><mo>-</mo><mfrac><mn>1</mn><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac><mo>-</mo><mfrac><mn>1</mn><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>=</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r23</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><mfrac><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>+</mo><mfrac><mrow><mn>3</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>=</mo><mfrac><mn>13</mn><mrow><mn>5</mn><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>+</mo><mfrac><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>=</mo><mfrac><mn>13</mn><mrow><mn>5</mn><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>17</mn><mn>15</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>17</mn><mn>15</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r33</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>4</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r34</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>12</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_7 Ebatzi ondorengo ekuazioak.
Resuelve las siguientes ecuaciones.
a. #e1
 b. #e2
c. #e3 d. #e4

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math». Si no tiene solución escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 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 1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x=#r31d.x=#r41]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>3</mn><mo>-</mo><msqrt><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msqrt><mo>=</mo><mi>x</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>-</mo><msqrt><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msqrt><mo>=</mo><mi>x</mi></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><msqrt><mrow><mn>1</mn><mo>+</mo><msqrt><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msqrt></mrow></msqrt><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mrow><mn>1</mn><mo>+</mo><msqrt><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msqrt></mrow></msqrt><mo>=</mo><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>8</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msqrt><mrow><mi>x</mi><mo>+</mo><mn>7</mn></mrow></msqrt><mo>+</mo><msqrt><mi>x</mi></msqrt><mo>=</mo><mn>7</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mrow><mi>x</mi><mo>+</mo><mn>7</mn></mrow></msqrt><mo>+</mo><msqrt><mi>x</mi></msqrt><mo>=</mo><mn>7</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>9</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>:</mo><mo>=</mo><msqrt><mrow><mfenced><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced></mrow></msqrt><mo>=</mo><mi>x</mi><mo>-</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mrow><mfenced><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced></mrow></msqrt><mo>=</mo><mi>x</mi><mo>-</mo><mn>1</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e4</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_8-a Ebatzi ondorengo ekuazioak.
Resuelve las siguientes ecuaciones.
a. #e1
 b. #e2
c. #e3 d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«msup»«mn»25«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«/mrow»«/msup»«mo»=«/mo»«msup»«mfenced»«mfrac»«mn»1«/mn»«mn»5«/mn»«/mfrac»«/mfenced»«mrow»«mn»2«/mn»«mi»x«/mi»«/mrow»«/msup»«/mrow»«/mstyle»«/math»
e. #e5
  

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math». Si no tiene solución escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 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1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x1=#r31c.x2=#r32d.x=#r41e.x=#r51]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><msup><mn>2</mn><mrow><mn>3</mn><mi>x</mi><mo>-</mo><mn>5</mn></mrow></msup><mo>=</mo><mn>1024</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>2</mn><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>5</mn></mrow></msup><mo>=</mo><mn>1024</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>5.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><msqrt><msup><mn>4</mn><mrow><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>6</mn></mrow></msup></msqrt><mo>=</mo><mfrac><mn>1</mn><mn>8</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mfenced><msup><mn>4</mn><mrow><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn></mrow></msup></mfenced></msqrt><mo>=</mo><mfrac><mn>1</mn><mn>8</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4.5</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.5</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msup><mn>3</mn><mrow><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mi>x</mi><mo>-</mo><mn>3</mn></mrow></msup><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>3</mn><mrow><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn></mrow></msup><mo>=</mo><mn>1</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable 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style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>:</mo><mo>=</mo><msup><mn>25</mn><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></msup><mo>=</mo><msup><mfenced><mfrac><mn>1</mn><mn>5</mn></mfrac></mfenced><mrow><mn>2</mn><mi>x</mi></mrow></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>25</mn><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></msup><mo>=</mo><msup><mfrac><mn>1</mn><mn>5</mn></mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi></mrow></msup></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e4</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e5</mi><mo>:</mo><mo>=</mo><msup><mn>2</mn><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>+</mo><msup><mn>2</mn><mi>x</mi></msup><mo>+</mo><msup><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>112</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>2</mn><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>+</mo><msup><mn>2</mn><mi>x</mi></msup><mo>+</mo><msup><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>112</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e51</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e5</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>5.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r51</mi><mo>=</mo><msub><mi>e51</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r52</mi><mo>=</mo><msub><mi>e51</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn><mspace linebreak="newline"/><mi mathvariant="normal">e</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>51</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_8-b Ebatzi ondorengo ekuazioak.
Resuelve las siguientes ecuaciones.
a. #e1
 b. #e2
c. #e3 d. #e4
e. #e5
  

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math». Si no tiene solución escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

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1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x=#r31d.x=#r41e.x=#r51]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><msup><mn>9</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>-</mo><mn>2</mn><mo>*</mo><msup><mn>3</mn><mi>x</mi></msup><mo>-</mo><mn>27</mn><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>9</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>-</mo><mn>2</mn><mo>*</mo><msup><mn>3</mn><mi>x</mi></msup><mo>-</mo><mn>27</mn><mo>=</mo><mn>0</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math 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align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0.35621</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.35621</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msup><mn>5</mn><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>6</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>5</mn><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>6</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0.11328</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.11328</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>:</mo><mo>=</mo><msup><mn>3</mn><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>102</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>3</mn><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>102</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e4</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2.6049</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.6049</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e5</mi><mo>:</mo><mo>=</mo><msup><mn>6</mn><mrow><mo>-</mo><mi>x</mi></mrow></msup><mo>+</mo><msup><mn>6</mn><mrow><mn>1</mn><mo>-</mo><mi>x</mi></mrow></msup><mo>+</mo><msup><mn>6</mn><mrow><mn>2</mn><mo>-</mo><mi>x</mi></mrow></msup><mo>+</mo><msup><mn>6</mn><mrow><mn>3</mn><mo>-</mo><mi>x</mi></mrow></msup><mo>=</mo><mn>259</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>6</mn><mfenced><mrow><mo>-</mo><mi>x</mi></mrow></mfenced></msup><mo>+</mo><msup><mn>6</mn><mrow><mn>1</mn><mo>-</mo><mi>x</mi></mrow></msup><mo>+</mo><msup><mn>6</mn><mrow><mn>2</mn><mo>-</mo><mi>x</mi></mrow></msup><mo>+</mo><msup><mn>6</mn><mrow><mn>3</mn><mo>-</mo><mi>x</mi></mrow></msup><mo>=</mo><mn>259</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e51</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e5</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>0.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r51</mi><mo>=</mo><msub><mi>e51</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r52</mi><mo>=</mo><msub><mi>e51</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn><mspace linebreak="newline"/><mi mathvariant="normal">e</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>51</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_9 Ebatzi ondorengo ekuazioak.
Resuelve las siguientes ecuaciones.
a. #e1
 b. #e2
c. #e3 d. #e4

 

 

 

 

 

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math». Si no tiene solución escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

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1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x1=#r31c.x2=#r32d.x=#r41]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>2</mn><mo>*</mo><msup><exponentiale/><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></msup><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msup><exponentiale/><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></msup><mo>=</mo><mn>3</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4.4055</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.4055</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><mn>25</mn><mo>*</mo><msup><mn>5</mn><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>=</mo><mfrac><mn>1</mn><mn>125</mn></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn><mo>*</mo><msup><mn>5</mn><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>=</mo><mfrac><mn>1</mn><mn>125</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>6.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>6.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msqrt><msup><mn>3</mn><mrow><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn></mrow></msup></msqrt><mo>=</mo><mn>9</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mfenced><msup><mn>3</mn><mrow><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn></mrow></msup></mfenced></msqrt><mo>=</mo><mn>9</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>1.4142</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1.4142</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1.4142</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.4142</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>:</mo><mo>=</mo><mn>7</mn><mo>*</mo><msup><mn>6</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msup><mo>=</mo><mn>32</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn><mo>*</mo><msup><mn>6</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msup><mo>=</mo><mn>32</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e4</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>1.1518</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1.1518</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Matematika I // Matematicas I/Inekuazioak eta Inekuazio Sistemak // Inecuaciones y sistemas de inecuaciones Pregunta_1-a Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»§#60;«/mo»«mn»8«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»2«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»+«/mo»«mn»3«/mn»«mi»x«/mi»«mo»§#60;«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">8</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_1-b Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»8«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»§#60;«/mo»«mo»-«/mo»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«/mrow»«mn»4«/mn»«/mfrac»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mn»10«/mn»«/mfrac»«mo»§#62;«/mo»«mfrac»«mrow»«mn»2«/mn»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«/mrow»«mn»5«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">8</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">10</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mfrac><mn>1</mn><mn>12</mn></mfrac><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mfrac><mn>2</mn><mn>13</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_1-c Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»5«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«mo»§#60;«/mo»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«mo»-«/mo»«mn»5«/mn»«mfenced»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»§#8805;«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»-«/mo»«mn»1«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo>⩾</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><cn>-∞</cn><mo>,</mo><mfrac><mn>47</mn><mn>15</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_1-d Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mrow»«mn»2«/mn»«/mfrac»«mo»-«/mo»«mi»x«/mi»«mo»§#62;«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»2«/mn»«/mfrac»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»§#8804;«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mfrac»«mn»9«/mn»«mn»2«/mn»«/mfrac»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo>⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">9</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_10 Ebatzi ondorengo inekuazio sistemak  eta emaitzak eman.

Resuelve las siguientes sistemas de inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»x«/mi»«mo»§#60;«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#60;«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»5«/mn»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»§#8804;«/mo»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#60;«/mo»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»
c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§#62;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»§#60;«/mo»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#8804;«/mo»«mn»2«/mn»«mfenced»«mrow»«mn»1«/mn»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«/mrow»«/mfenced»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»  

 

 

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2c.=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo>,</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo>⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>,</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">,</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mn>1</mn><mo>+</mo><mn>2</mn><mi>x</mi></mrow></mfenced><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r31</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><mn>1</mn><mo>,</mo><mn>3</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><mn>5</mn><mo>,</mo><mn>7</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_11-a Ebatzi ondorengo inekuazio sistema ez linealak  eta emaitzak eman.

Resuelve las siguientes sistemas de inecuaciones no lineales.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»6«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«mo»§#8805;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mo»§#62;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»25«/mn»«mo»§#8804;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»-«/mo»«mn»1«/mn»«mo»§#8804;«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«/mrow»«mn»3«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§#8805;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">,</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">25</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩽</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac><mo>,</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">,</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><mo>-</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>,</mo><mn>1</mn></mrow></mfenced><mo>∪</mo><mfenced close="]" open="["><mrow><mn>5</mn><mo>,</mo><mfrac><mn>25</mn><mn>3</mn></mfrac></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]" open="["><mrow><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mn>1</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_11-b Ebatzi ondorengo inekuazio sistema ez linealak  eta emaitzak eman.

Resuelve las siguientes sistemas de inecuaciones no lineales.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mo»§#62;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»6«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mo»§#62;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»14«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«/mrow»«/mfrac»«mo»§#8805;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»7«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«mo»§#62;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»  
c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mi»x«/mi»«mo»-«/mo»«mn»6«/mn»«mo»§#8805;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»    

 

 

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2c.=#r3]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>14</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r31</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>3</mn><mo>,</mo><mn>5</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>5</mn></mrow></mfenced><mo>∪</mo><mfenced open="["><mrow><mn>7</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="["><mrow><mn>3</mn><mo>,</mo><mn>5</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_11-c Ebatzi ondorengo inekuazio sistema ez linealak  eta emaitzak eman.

Resuelve las siguientes sistemas de inecuaciones no lineales.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«mo»§#8805;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»§#60;«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«mo»§#8805;«/mo»«mn»0«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><mo>-</mo><mn>2</mn><mo>,</mo><mn>1</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_2-a Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mfenced»«mrow»«mn»1«/mn»«mo»-«/mo»«mn»4«/mn»«mi»x«/mi»«/mrow»«/mfenced»«mo»§#8804;«/mo»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»§#8805;«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mn»29«/mn»«mn»6«/mn»«/mfrac»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow></mfenced><mo>⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo>⩾</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">29</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><cn>-∞</cn><mo>,</mo><mfrac><mn>2</mn><mn>13</mn></mfrac></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="["><mrow><mn>4</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_2-b Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»7«/mn»«mfenced»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»§#8804;«/mo»«mn»2«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mn»9«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»7«/mn»«/mrow»«/mfenced»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»§#8804;«/mo»«mn»5«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">9</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><cn>-∞</cn><mo>,</mo><mn>0</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_2-c Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»4«/mn»«mfenced»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»§#60;«/mo»«mn»7«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»+«/mo»«mn»3«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»§#62;«/mo»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mn»4«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»5«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«mn»2«/mn»«/mfrac»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><mfrac><mn>19</mn><mn>20</mn></mfrac><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_3-a Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»6«/mn»«mi»x«/mi»«mo»+«/mo»«mn»9«/mn»«mo»§#62;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«mo»§#8804;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">9</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mn>3</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]" open="["><mrow><mo>-</mo><mn>2</mn><mo>,</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_3-b Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»§#62;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«mo»§#8804;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>0</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_3-c Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»§#8804;«/mo»«mn»4«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mn»5«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»§#60;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo>⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]" open="["><mrow><mn>1</mn><mo>,</mo><mn>5</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_3-d Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»7«/mn»«mo»§#8805;«/mo»«mo»-«/mo»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mfrac»«mn»1«/mn»«mn»4«/mn»«/mfrac»«mo»§#60;«/mo»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>5</mn></mrow></mfenced><mo>∪</mo><mfenced open="["><mrow><mn>2</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_3-e Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»2«/mn»«mfenced»«mrow»«mn»5«/mn»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«mo»§#62;«/mo»«mn»3«/mn»«mi»x«/mi»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»5«/mn»«/mfrac»«mo»§#62;«/mo»«mfrac»«mrow»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«mn»2«/mn»«/mfrac»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math» / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><mfrac><msqrt><mn>89</mn></msqrt><mn>4</mn></mfrac><mo>-</mo><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>,</mo><mfrac><msqrt><mn>89</mn></msqrt><mn>4</mn></mfrac><mo>-</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_4-a Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»x«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»§#60;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mi»x«/mi»«mo»§#60;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>*</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>3</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>0</mn><mo>,</mo><mn>5</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mn>0</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_4-b Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#62;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«/mrow»«/mfenced»«mo»§#62;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><msqrt><mn>2</mn></msqrt><mo>,</mo><mn>1</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><msqrt><mn>2</mn></msqrt><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_4-c Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»3«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»27«/mn»«mi»x«/mi»«mo»-«/mo»«mn»27«/mn»«mo»§#8805;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«mo»§#62;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">27</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">27</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]" open="["><mrow><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>1</mn></mrow></mfenced><mo>∪</mo><mfenced open="["><mrow><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_5-a Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«mo»§#62;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mi»x«/mi»«/mfrac»«mo»§#8804;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mfrac><mo>⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>1</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><mn>0</mn><mo>,</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_5-b Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«/mrow»«mi»x«/mi»«/mfrac»«mo»§#62;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfrac»«mo»§#62;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>4</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>2</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mo>-</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_6-a Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#8805;«/mo»«mn»18«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»9«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»6«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§#8804;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">18</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">9</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>4</mn></mrow></mfenced><mo>∪</mo><mfenced open="["><mrow><mn>5</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfrac><mn>1</mn><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_6-b Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»§#60;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»4«/mn»«/mfrac»«mo»§#62;«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«/mrow»«/mfenced»«mo»+«/mo»«mn»17«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  / Si no tiene solución introduce  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">17</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><mfrac><mn>15</mn><mn>4</mn></mfrac><mo>,</mo><mo>-</mo><mn>1</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_7-a Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#62;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mrow»«/mfenced»«mo»§#60;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>1</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><msqrt><mn>3</mn></msqrt><mo>,</mo><msqrt><mn>3</mn></msqrt></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>2</mn><mo>,</mo><mn>3</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_7-b Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»4«/mn»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«mo»§#8805;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mn»2«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mo»§#62;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></mfenced><mo>∪</mo><mfenced><mrow><mn>1</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_8-a Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfrac»«mo»§#8805;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»+«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«mo»§#60;«/mo»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfrac><mo>⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup></mrow><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><cn>-∞</cn><mo>,</mo><mo>-</mo><mn>1</mn></mrow></mfenced><mo>∪</mo><mfenced open="["><mrow><mn>3</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>1</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_8-b Ebatzi ondorengo inekuazioak  eta emaitzak eman.

Resuelve las siguientes inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»9«/mn»«mi»x«/mi»«mo»+«/mo»«mn»8«/mn»«/mrow»«/mfenced»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«/mrow»«/mfrac»«mo»§#8804;«/mo»«mn»0«/mn»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»25«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»7«/mn»«mi»x«/mi»«mo»+«/mo»«mn»10«/mn»«/mrow»«/mfrac»«mo»§#8804;«/mo»«mn»0«/mn»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">9</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">8</mn></mrow></mfenced></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow></mfrac><mo>⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mfrac><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">25</mn></mrow><mrow><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">10</mn></mrow></mfrac><mo>⩽</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">0</mn><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]" open="["><mrow><mn>1</mn><mo>,</mo><mn>8</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="["><mrow><mo>-</mo><mn>5</mn><mo>,</mo><mn>2</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_9-a Ebatzi ondorengo inekuazio sistemak  eta emaitzak eman.

Resuelve las siguientes sistemas de inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»3«/mn»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»§#60;«/mo»«mn»8«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«mo»§#62;«/mo»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»5«/mn»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»§#8805;«/mo»«mn»4«/mn»«mi»x«/mi»«mo»+«/mo»«mn»13«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«mo»§#60;«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»11«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">8</mn><mo>,</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">13</mn><mo>,</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">11</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>0</mn><mo>,</mo><cn>+∞</cn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]"><mrow><mo>-</mo><mfrac><mn>4</mn><mn>3</mn></mfrac><mo>,</mo><mo>-</mo><mfrac><mn>8</mn><mn>7</mn></mfrac></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Pregunta_9-b Ebatzi ondorengo inekuazio sistemak  eta emaitzak eman.

Resuelve las siguientes sistemas de inecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mi»x«/mi»«mo»§#8805;«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#60;«/mo»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#62;«/mo»«mn»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math» b.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable»«mtr»«mtd»«mn»5«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»§#8804;«/mo»«mo»-«/mo»«mn»2«/mn»«mo»+«/mo»«mi»x«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»§#62;«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#60;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

 

 

 

Emaitza tarte eran eman behar duzu / La respuesta debe estar expresada en forma de intervalo.

Ez badu soluziorik idatzi  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math»  / Si no tiene solución introduce «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 1.0000000 0.3333333 0 0 a.=#r1b.=#r2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">⩾</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo>,</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">,</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver_inecuación</mi><mo>(</mo><mo>{</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo>⩽</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo>,</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&gt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">,</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">&lt;</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mo>}</mo><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r11</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>expression_to_set</mi><mo>(</mo><mi>r21</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mfrac><mn>7</mn><mn>2</mn></mfrac><mo>,</mo><mn>4</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="intervals">true</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question>