Examples in the user manual 33. Local maxima Give the «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math» coordinates of two distinct local maximums of

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#8201;«/mo»«mn»5«/mn»«mi»sin«/mi»«mfenced»«mrow»«mfrac»«mi mathvariant=¨normal¨»§#960;«/mi»«mn»4«/mn»«/mfrac»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mn»8«/mn»«/math».

]]> 1.0000000 0.3333333 0 0 x1=9x2=-7]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>credit1</mi><mo> </mo><mo>=</mo><mo> </mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>credit2</mi><mo> </mo><mo>=</mo><mo> </mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>gf</mi><mo>(</mo><mi>u</mi><mo>,</mo><mi>v</mi><mo>)</mo><mo>:</mo><mo>=</mo></mtd></mtr><mtr><mtd><mo> </mo><mo> </mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">begin</csymbol><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mfenced><mrow><mi>remainder</mi><mo>(</mo><mi>u</mi><mo>,</mo><mn>8</mn><mo>)</mo><mo>=</mo><mn>1</mn><mo> </mo><mo>∨</mo><mo> </mo><mi>remainder</mi><mo>(</mo><mi>u</mi><mo>,</mo><mn>8</mn><mo>)</mo><mo>=</mo><mo>-</mo><mn>7</mn></mrow></mfenced><mrow><mi>credit1</mi><mo> </mo><mo>=</mo><mo> </mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mfenced><mrow><mi>u</mi><mo>≠</mo><mi>v</mi><mo> </mo><mo>∧</mo><mo> </mo><mfenced><mrow><mi>remainder</mi><mo>(</mo><mi>v</mi><mo>,</mo><mn>8</mn><mo>)</mo><mo>=</mo><mn>1</mn><mo> </mo><mo>∨</mo><mo> </mo><mi>remainder</mi><mo>(</mo><mi>u</mi><mo>,</mo><mn>8</mn><mo>)</mo><mo>=</mo><mo>-</mo><mn>7</mn></mrow></mfenced></mrow></mfenced><mrow><mi>credit2</mi><mo> </mo><mo>=</mo><mo> </mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><mi>return</mi><mo> </mo><mi>credit1</mi><mo> </mo><mo>+</mo><mo> </mo><mi>credit2</mi></mtd></mtr></mtable></apply></mtd></mtr></mtable></math></input></command></group></library></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><mn>9</mn><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>-</mo><mn>7</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_function"><param name="name">gf</param><param name="notevaluate">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></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>