3º ESO Ecuación de la recta. Dada la siguiente recta:


#fig

Indica cuál es la alternativa correcta.
]]> Solución:

Recordemos:
Podemos determinar el signo de la pendiente de una recta («math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«/math») de la siguiente forma:
  • «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«mo»§gt;«/mo»«mn»0«/mn»«/math»: La recta es creciente.
  • «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«mo»§lt;«/mo»«mn»0«/mn»«/math»: La recta es decreciente.
  • «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«mo»=«/mo»«mn»0«/mn»«/math»: La recta es constante.
Podemos determinar el término libre de la ecuación de una recta, observando en la gráfica el punto de intersección de la recta con el eje «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Y«/mi»«/math».
Podemos determinar el corte con el eje «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«/math» de una recta, observando en la gráfica el punto de intersección de la recta con el eje «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«/math».



 

]]> 1.0000000 1.0000000 0 true true abc La pendiente es #m1, el término libre es #b y corte con eje X es #cx

]]> Bien. Continúa de esa manera.]]> La pendiente es #m2, el término libre es #b1 y corte con eje X es #cx1

]]> Al parecer has considerado de forma incorrecta la pendiente.]]> La pendiente es #m3, el término libre es #b2 y corte con eje X es #cx2

]]> Al parecer has considerado de forma incorrecta el término libre.]]> La pendiente es #m4, el término libre es #b3 y corte con eje X es #cx3

]]> Al parecer has considerado de forma incorrecta el corte con el eje X.]]> <question><wirisCasSession>&lt;session lang=&quot;es&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;apply&gt;&lt;csymbol 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xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;b2&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;b2&lt;/mi&gt;&lt;/math&gt;&lt;/output&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;b3&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfrac&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mfrac&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&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> Gráficas

Observa la gráfica de la función y responde:

 a)¿Cuáles son su dominio de definición y su recorrido?.

 b)¿Tiene máximos y mínimo relativas?. En caso afirmativo,¿cuáles son?.

 c) En qué intervalos es la función creciente y en cuáles es decreciente?.

 

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 1.0000000 0.0000000 0 editor 15 0 <question/> Inecuaciones. Inecuación Respuesta Corta. Sea  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»a«/mi»«mo»§#183;«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»c«/mi»«mo»§#183;«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»d«/mi»«/mrow»«/mfrac»«/math»

Resuelve la inecuación  siguiente:  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#8804;«/mo»«mn»1«/mn»«/math»

 

Escribe la solución de la inecuación, siguiendo la notación siguiente:

  • Si la solución es un único intervalo, éste se debe escribir utilizando el símbolo &. Puedes seguir el ejemplo siguiente: x>3&x<8
  • Si la solución son dos intervalos separados, debes utilizar el símbolo | que se obtiene pulsando Alt Gr y el 1 a la vez. Por ejemplo: x<1|x>5.
  • Si no tiene solución, debes escribir falso.
  • El símbolo mayor o igual se debe escribir >=.
  • El símbolo menor o igual se escribirá <=.
  • La fracción se debe escribir con el símbolo /.
  • Si fuera negativa la fracción pondremos un - delante del numerador.
]]> 1.0000000 0.1000000 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_1</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn></mrow></mfenced></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><mo>=</mo><mi>x_1</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><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>3</mn></mrow></mfenced><mo>·</mo><mi>aleatorio</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></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>c</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>3</mn></mrow></mfenced><mo>·</mo><mi>aleatorio</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></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>d</mi><mo>=</mo><mi>x_1</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>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mfrac><mrow><mi>a</mi><mo>·</mo><mi>x</mi><mo>+</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>·</mo><mi>x</mi><mo>+</mo><mi>d</mi></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>↦</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mrow><mn>3</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>sol</mi><mo>=</mo><mi>resolver_inecuacion</mi><mfenced><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>⩽</mo><mn>1</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&gt;</mo><mo>-</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>∨</mo><mi>x</mi><mo>⩽</mo><mo>-</mo><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>#sol</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">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Pendiente de una recta ¿Cual es la pendiente de la recta?

]]> 1.0000000 0.3333333 0 true Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> #f1

]]> #g1 #f2

]]> #g2 #f3

]]> #g3 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><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><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</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>c</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>d</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>c</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>b</mi><mo>+</mo><mi>g1</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><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>e</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>f</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>g</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>h</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>c</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mfrac><mrow><mi>h</mi><mo>-</mo><mi>f</mi></mrow><mrow><mi>g</mi><mo>-</mo><mi>e</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>f</mi><mo>+</mo><mi>g2</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>e</mi><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>i</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>j</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>k</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>l</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>c</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g3</mi><mo>=</mo><mfrac><mrow><mi>l</mi><mo>-</mo><mi>j</mi></mrow><mrow><mi>k</mi><mo>-</mo><mi>i</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>j</mi><mo>+</mo><mi>g3</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>i</mi><mo>)</mo></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> Pendiente de una recta ¿Es la pendiente de la siguiente recta m = #h ?

#p

]]> 1.0000000 1.0000000 0 Verdadero Falso <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library 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><mo>{</mo><mo>-</mo><mn>4</mn><mo>,</mo><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>}</mo><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><mo>{</mo><mo>-</mo><mn>4</mn><mo>,</mo><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>}</mo><mo>)</mo></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>x</mi><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>a</mi><mo>,</mo><mi>b</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>f</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>:</mo><mo>=</mo><mo>(</mo><mi>g</mi><mo>=</mo><mi>h</mi><mo>)</mo><mo>?</mo></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> Pendiente de una recta ¿Cual es la pendiente de la siguiente recta?

#p

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> #r1

]]> Respuesta correcta

]]> #r2

]]> Lo siento, pero no es correcto

]]> #r3

]]> No es correcto

]]> #r4

]]> NADA

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library 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><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</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><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>r</mi><mo>(</mo><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>s</mi><mo>=</mo><mi>tablero</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>r</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s</mi><mo>,</mo><mi>g</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mo>=</mo><mo>{</mo><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>}</mo><mo>/</mo><mo>{</mo><mi>a</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msub><mi>L</mi><mn>1</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><msub><mi>L</mi><mn>2</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><msub><mi>L</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><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> Potencias Calcular:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«/msup»«mo»§#183;«/mo»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msup»«/math»

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> #sol

]]> Muy bien

]]> #sol1

]]> Recuerda:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mi»a«/mi»«/msup»«mo»§#183;«/mo»«msup»«mi»x«/mi»«mrow»«mi»b«/mi»«mo»§#160;«/mo»«/mrow»«/msup»«mo»=«/mo»«msup»«mi»x«/mi»«mrow»«mi»a«/mi»«mo»+«/mo»«mi»b«/mi»«/mrow»«/msup»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library 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><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mfenced><mrow><msup><mi>x</mi><mi>a</mi></msup><mo>*</mo><msup><mi>x</mi><mi>b</mi></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mfenced><msup><mi>x</mi><mfenced><mrow><mi>a</mi><mo>*</mo><mi>b</mi></mrow></mfenced></msup></mfenced></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> Potencias2 Calcula :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«/msup»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msup»«/mfrac»«/math»

]]> 1.0000000 0.3333333 0 0 #sol Muy bien.

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library 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><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>:</mo><mo>=</mo><mi>r</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>:</mo><mo>=</mo><mi>b</mi><mo>*</mo><mi>r</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><mfenced><mfrac><msup><mi>x</mi><mi>a</mi></msup><msup><mi>x</mi><mi>b</mi></msup></mfrac></mfenced></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</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> Potencias3 Sabiendo que a y b son distintos de cero y n es un número entero

 

               ¿Es cierta esta igualdad         «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced»«mfrac»«mi»a«/mi»«mi»b«/mi»«/mfrac»«/mfenced»«mrow»«mo»-«/mo»«mi»n«/mi»«/mrow»«/msup»«mo»=«/mo»«msup»«mfenced»«mfrac»«mi»b«/mi»«mi»a«/mi»«/mfrac»«/mfenced»«mi»n«/mi»«/msup»«/math» ?

]]> 1.0000000 1.0000000 0 Verdadero Muy bien

]]> Falso <question><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> Potencias4 Hallar la solución correcta:

 

]]> 1.0000000 0.3333333 0 true Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced»«mfrac»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«/msup»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msup»«/mfrac»«/mfenced»«mn»2«/mn»«/msup»«/math»

]]> #sol «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced»«mfrac»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«/msup»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msup»«/mfrac»«/mfenced»«mrow»«mo»-«/mo»«mn»2«/mn»«/mrow»«/msup»«/math»

]]> #sol1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced»«mfrac»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«/msup»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msup»«/mfrac»«/mfenced»«mn»2«/mn»«/msup»«mo»§#183;«/mo»«msup»«mfenced»«mfrac»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«/msup»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msup»«/mfrac»«/mfenced»«mrow»«mo»-«/mo»«mn»2«/mn»«/mrow»«/msup»«/math»

]]> #sol2 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library 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><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>:</mo><mo>=</mo><mi>r</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>:</mo><mo>=</mo><mi>b</mi><mo>*</mo><mi>r</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><msup><mfenced><mfrac><msup><mi>x</mi><mi>a</mi></msup><msup><mi>x</mi><mi>b</mi></msup></mfrac></mfenced><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><msup><mfenced><mfrac><msup><mi>x</mi><mi>a</mi></msup><msup><mi>x</mi><mi>b</mi></msup></mfrac></mfenced><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>:</mo><mo>=</mo><msup><mfenced><mfrac><msup><mi>x</mi><mi>a</mi></msup><msup><mi>x</mi><mi>b</mi></msup></mfrac></mfenced><mrow><mo>-</mo><mn>2</mn></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><msup><mfenced><mfrac><msup><mi>x</mi><mi>a</mi></msup><msup><mi>x</mi><mi>b</mi></msup></mfrac></mfenced><mrow><mo>-</mo><mn>2</mn></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi><mo>:</mo><mo>=</mo><mi>p</mi><mo>·</mo><mi>q</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>:</mo><mo>=</mo><mi>simplificar</mi><msup><mfenced><mfrac><msup><mi>x</mi><mi>a</mi></msup><msup><mi>x</mi><mi>b</mi></msup></mfrac></mfenced><mn>2</mn></msup><mo>·</mo><msup><mfenced><mfrac><msup><mi>x</mi><mi>a</mi></msup><msup><mi>x</mi><mi>b</mi></msup></mfrac></mfenced><mrow><mo>-</mo><mn>2</mn></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></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> Potencias5  

1-Cuánto vale «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»a«/mi»«mn»0«/mn»«/msup»«/math», siendo a distinto de 0? {#1} 

2-Hallar:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«msup»«mn»2«/mn»«mrow»«mo»-«/mo»«mn»6«/mn»«/mrow»«/msup»«mo»§#183;«/mo»«msup»«mn»4«/mn»«mn»3«/mn»«/msup»«mo».«/mo»«msup»«mn»3«/mn»«mn»4«/mn»«/msup»«mo»§#183;«/mo»«msup»«mn»9«/mn»«mrow»«mo»-«/mo»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«msup»«mn»2«/mn»«mrow»«mo»-«/mo»«mn»4«/mn»«/mrow»«/msup»«mo»§#183;«/mo»«mn»8«/mn»«mo»§#183;«/mo»«mn»9«/mn»«mo»§#183;«/mo»«msup»«mn»3«/mn»«mrow»«mo»-«/mo»«mn»5«/mn»«/mrow»«/msup»«/mrow»«/mfrac»«/math» {#2}.

]]> 3.0000000 0.3333333 0 <question/> Puntos que pertenecen a una recta. La ecuación de la recta que pasa por el punto #P y por el punto #Q es y=#f.

]]> 1.0000000 1.0000000 0 Verdadero Falso <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><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><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</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>c</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>d</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>P</mi><mo>=</mo><mi>punto</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>Q</mi><mo>=</mo><mi>punto</mi><mo>(</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mi>c</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>r</mi><mo>,</mo><mi>b</mi><mo>+</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>)</mo><mo>,</mo><mi>a</mi><mo>+</mo><mi>m</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>b</mi><mo>)</mo><mo>,</mo><mi>b</mi><mo>+</mo><mi>m</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>+</mo><mi>a</mi><mo>)</mo><mo>,</mo><mi>b</mi><mo>-</mo><mi>m</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>+</mo><mi>a</mi><mo>)</mo></mtd></mtr></mtable></mfenced></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>b</mi><mo>+</mo><mi>m</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>)</mo></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> Rectas y sus ecuaciones Relaciona cada recta con su ecuación

]]> 1.0000000 0.3333333 0 true Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> #g1

]]> #f1 #g2

]]> #f2 #g3

]]> #f3 #g4

]]> #f4 #g5

]]> #f5 #f6 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library 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><mo>)</mo><mo>;</mo><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s5</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><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>f2</mi><mo>=</mo><mo>-</mo><mn>2</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>f3</mi><mo>=</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</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>f5</mi><mo>=</mo><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>a</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</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><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>f6</mi><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>g2</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s2</mi><mo>,</mo><mi>f2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>f3</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>f4</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g5</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s5</mi><mo>,</mo><mi>f5</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>f1</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><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> Resolucion sistemas Resuelve el siguiente sistema de ecuaciones lineales por el método que consideres más apropiado:

                               «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mo»#«/mo»«mi»a«/mi»«mo».«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mo».«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»#«/mo»«mi»c«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo»#«/mo»«mi»d«/mi»«mo».«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»+«/mo»«mo»#«/mo»«mi»e«/mi»«mo».«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»#«/mo»«mi»f«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Recuerda que todos los sistemas tienen solucion única y escribela de la siguiente forma

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»{«/mo»«mo»{«/mo»«mi»x«/mi»«mo»=«/mo»«mn»3«/mn»«mo»,«/mo»«mi»y«/mi»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mo»}«/mo»«mo»}«/mo»«/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"><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>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mo>(</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a</mi></mtd><mtd><mi>b</mi></mtd></mtr><mtr><mtd><mi>d</mi></mtd><mtd><mi>e</mi></mtd></mtr></mtable></mfenced><mo>≠</mo><mn>0</mn><mo> </mo><mo>^</mo><mi>mcd</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo> </mo><mo>^</mo><mi>mcd</mi><mo>(</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>)</mo></mrow></apply></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>s</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>c</mi></mtd></mtr><mtr><mtd><mi>d</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>e</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>f</mi></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"/></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><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><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>#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">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>