Categoria per defecte en 230001 - CÀLCUL (Metacurs)/A.-Versió aleatoritzada del final test de febrer de 2013 (versió 1h30m). S'ha d'agafar una pregunta aleatòriament de cada categoria/Categoria 09 per fer versió de mig examen
Perm.0 Preg.16 Simplificacions amb valors absoluts i fórmules
Sigui la funció «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msqrt»«mo»#«/mo»«mi»e«/mi»«mi»x«/mi»«mi»p«/mi»«mi»r«/mi»«mi»r«/mi»«mn»1«/mn»«mo»#«/mo»«mi»e«/mi»«mi»x«/mi»«mi»p«/mi»«mi»r«/mi»«mi»r«/mi»«mn»2«/mn»«mo»#«/mo»«mi»e«/mi»«mi»x«/mi»«mi»p«/mi»«mi»r«/mi»«mi»r«/mi»«mn»3«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/msqrt»«/math». Es verifica que la funció «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math» és:]]>
1.0000000
0.0000000
0
true
true
none
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#resul1«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#resul2«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#resul3«/mi»«/math»]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#resul4«/mi»«/math»]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mi style="color:#ffc800">variables</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatori</mi><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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>=</mo><mn>1</mn></mrow><mtable><mtr><mtd><mi>exprr1</mi><mo>=</mo><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>exprr2</mi><mo>=</mo><mo>"</mo><mo>+</mo><mo>"</mo></mtd></mtr><mtr><mtd><mi>exprr3</mi><mo>=</mo><msup><mi>cosh</mi><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>resul1</mi><mo>=</mo><mfenced close="|" open="|"><mrow><mi>sinh</mi><mfenced><mi>x</mi></mfenced></mrow></mfenced></mtd></mtr><mtr><mtd><mi>resul2</mi><mo>=</mo><mo>-</mo><mfenced close="|" open="|"><mrow><mi>sinh</mi><mfenced><mi>x</mi></mfenced></mrow></mfenced></mtd></mtr><mtr><mtd><mi>resul3</mi><mo>=</mo><mi>sinh</mi><mfenced><mi>x</mi></mfenced></mtd></mtr><mtr><mtd><mi>resul4</mi><mo>=</mo><mo>-</mo><mi>sinh</mi><mfenced><mi>x</mi></mfenced></mtd></mtr></mtable><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>=</mo><mn>2</mn></mrow><mtable><mtr><mtd><mi>exprr1</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>exprr2</mi><mo>=</mo><mo>"</mo><mo>+</mo><mo>"</mo></mtd></mtr><mtr><mtd><mi>exprr3</mi><mo>=</mo><msup><mi>sinh</mi><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>resul1</mi><mo>=</mo><mi>cosh</mi><mfenced><mi>x</mi></mfenced></mtd></mtr><mtr><mtd><mi>resul2</mi><mo>=</mo><mo>-</mo><mi>cosh</mi><mfenced><mi>x</mi></mfenced></mtd></mtr><mtr><mtd><mi>resul3</mi><mo>=</mo><mi>sin</mi><mfenced><mi>x</mi></mfenced></mtd></mtr><mtr><mtd><mi>resul4</mi><mo>=</mo><mi>cos</mi><mfenced><mi>x</mi></mfenced></mtd></mtr></mtable><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>=</mo><mn>3</mn></mrow><mtable><mtr><mtd><mi>exprr1</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>exprr2</mi><mo>=</mo><mo>"</mo><mo>-</mo><mo>"</mo></mtd></mtr><mtr><mtd><mi>exprr3</mi><mo>=</mo><msup><mi>sin</mi><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>resul1</mi><mo>=</mo><mfenced close="|" open="|"><mrow><mi>cos</mi><mfenced><mi>x</mi></mfenced></mrow></mfenced></mtd></mtr><mtr><mtd><mi>resul2</mi><mo>=</mo><mo>-</mo><mfenced close="|" open="|"><mrow><mi>cos</mi><mfenced><mi>x</mi></mfenced></mrow></mfenced></mtd></mtr><mtr><mtd><mi>resul3</mi><mo>=</mo><mi>cos</mi><mfenced><mi>x</mi></mfenced></mtd></mtr><mtr><mtd><mi>resul4</mi><mo>=</mo><mo>-</mo><mi>cos</mi><mfenced><mi>x</mi></mfenced></mtd></mtr></mtable><mtable><mtr><mtd><mi>exprr1</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>exprr2</mi><mo>=</mo><mo>"</mo><mo>-</mo><mo>"</mo></mtd></mtr><mtr><mtd><mi>exprr3</mi><mo>=</mo><msup><mi>cos</mi><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>resul1</mi><mo>=</mo><mfenced close="|" open="|"><mrow><mi>sin</mi><mfenced><mi>x</mi></mfenced></mrow></mfenced></mtd></mtr><mtr><mtd><mi>resul2</mi><mo>=</mo><mo>-</mo><mfenced close="|" open="|"><mrow><mi>sin</mi><mfenced><mi>x</mi></mfenced></mrow></mfenced></mtd></mtr><mtr><mtd><mi>resul3</mi><mo>=</mo><mi>sin</mi><mfenced><mi>x</mi></mfenced></mtd></mtr><mtr><mtd><mi>resul4</mi><mo>=</mo><mo>-</mo><mi>sin</mi><mfenced><mi>x</mi></mfenced></mtd></mtr></mtable></apply></apply></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></correctAnswer></correctAnswers><options><option name="implicit_times_operator">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>