Support/Documentation examples Cloze full example Just answer what it's told:

#a : {#1}

#b : {#2}

#c : {#3}

#a : {#4}

#a : {#5}

#a : {#6}

#a: {#7}

:NM: The answer must be a number, for example -1.234 or 3e8, or '*'. It can not be a WIRIS #variable; use :SA: instead.

]]> 7.0000000 0.3333333 0 <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>a</mi><mo>=</mo><mn>123</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>sin</mi><mfenced><msup><mi>x</mi><mn>2</mn></msup></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mo>"</mo><mi>hello</mi><mo>"</mo></math></input></command></group></library></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="inputField">textField</data><data name="casSession"/></localData></question> Equation Find the solutions of:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»q«/mi»«mn»1«/mn»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mn»0«/mn»«/math»

If there are multiple solutions, write them as a coma separated list.

If there are no solutions, write the symbol «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math», that is under «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨normal¨»§#960;«/mi»«/math» in the toolbar.

]]> 1.0000000 0.3333333 0 0 #a <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>t</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>3</mn></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"><mi>r1</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mo>-</mo><mn>5</mn><mo>,</mo><mo>+</mo><mn>5</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mfenced><mrow><mo>-</mo><mn>5</mn><mo>.</mo><mo>.</mo><mo>+</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>0</mn><mo>,</mo><mi>r1</mi></mtd></mtr></mtable></mfenced></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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>t</mi><mo>=</mo><mn>1</mn></mrow><mtable><mtr><mtd><mi>q1</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>5</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mfenced><mrow><mi>r1</mi><mo>+</mo><mi>r2</mi><mo>*</mo><imaginaryi/></mrow></mfenced></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mfenced><mrow><mi>r1</mi><mo>-</mo><mi>r2</mi><mo>*</mo><imaginaryi/></mrow></mfenced></mrow></mfenced></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></mtd></mtr></mtable><mrow><mi>t</mi><mo>=</mo><mn>2</mn></mrow><mtable><mtr><mtd><mi>q1</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>5</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>r1</mi></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>r1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>r1</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable><mrow><mi>t</mi><mo>=</mo><mn>3</mn></mrow><mtable><mtr><mtd><mi>q1</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>5</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>r1</mi></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>r2</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>r1</mi><mo>,</mo><mi>r2</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></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"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>10</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>130</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"><ms>∅</ms></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>#a</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="nobracketslist">true</param></assertion><assertion name="equivalent_symbolic"><param name="ordermatters">false</param><param name="repetitionmatters">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">inlineEditor</data><data name="casSession"/><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data></localData></question> Limit Find this:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«munder»«mi»lim«/mi»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«mo»#«/mo»«mi»q«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #a <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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mrow><mi>q</mi><mo> </mo><mo>=</mo><mo> </mo><mfrac><mrow><mi>random</mi><mfenced><mrow><mfenced><mrow><mo>-</mo><mn>10</mn><mo>.</mo><mo>.</mo><mo>+</mo><mn>10</mn></mrow></mfenced><mo>/</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mrow></mfenced></mrow><mrow><mi>random</mi><mfenced><mrow><mfenced><mrow><mo>-</mo><mn>10</mn><mo>.</mo><mo>.</mo><mo>+</mo><mn>10</mn></mrow></mfenced><mo>/</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mrow></mfenced></mrow></mfrac></mrow><mrow><mi>degree</mi><mfenced><mrow><mi>numerator</mi><mfenced><mi>q</mi></mfenced></mrow></mfenced><mo>=</mo><mn>2</mn><mo> </mo><mo>∧</mo><mo> </mo><mi>degree</mi><mfenced><mrow><mi>denominator</mi><mfenced><mi>q</mi></mfenced></mrow></mfenced><mo>=</mo><mn>2</mn></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>a</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>x</mi><mo>→</mo><cn>+∞</cn></mrow></munder><mi>q</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>q</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>8</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>96</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>160</mn></mrow><mrow><mn>9</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>108</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>324</mn></mrow></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><mfrac><mn>8</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><correctAnswers><correctAnswer>#a</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">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> partial grading Write this time in different units:

]]> 1.0000000 0.3333333 0 0 #t Ok, you entered correct time and units.

]]> #tm You entered a correct number, but you forgot the unit 'min'.

]]> #th You entered a correct number, but you forgot the unit 'h'.

]]> <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>tm</mi><mo> </mo><mo>=</mo><mo> </mo><mi>random</mi><mfenced><mrow><mn>100</mn><mo>,</mo><mn>1000</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>th</mi><mo> </mo><mo>=</mo><mo> </mo><mi>tm</mi><mo>/</mo><mn>60</mn><mo>.</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo> </mo><mo>=</mo><mo> </mo><mi>tm</mi><mo> </mo><csymbol definitionURL="http://.../units/minute">min</csymbol><mo> </mo><mo>+</mo><mo> </mo><mn>0</mn><csymbol definitionURL="http://.../units/hour">h</csymbol><mo> </mo><mo>+</mo><mo> </mo><mn>0</mn><csymbol definitionURL="http://.../units/second">s</csymbol></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tm</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>141</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>th</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.35</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo> </mo><csymbol definitionURL="http://.../units/hour">h</csymbol><mo> </mo><mn>21</mn><mo> </mo><csymbol definitionURL="http://.../units/minute">min</csymbol></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#t</correctAnswer><correctAnswer id="1">#tm</correctAnswer><correctAnswer id="2">#th</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</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">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Rounding 1 Round to integers:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»v«/mi»«mo»§#160;«/mo»«mo»§#177;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»e«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#8201;«/mo»«mo»(«/mo»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»u«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mo»§#177;«/mo»«mo»§#160;«/mo»«mi»e«/mi»«mi»r«/mi»«mi»r«/mi»«mi»o«/mi»«mi»r«/mi»«mo»)«/mo»«mo»§#8201;«/mo»«mo»§#183;«/mo»«mo»§#160;«/mo»«msup»«mn»10«/mn»«mrow»«mi»p«/mi»«mi»o«/mi»«mi»w«/mi»«mi»e«/mi»«mi»r«/mi»«/mrow»«/msup»«/math»

]]> 1.0000000 0.3333333 0 0 value=#vrerror=#erpower=#pr]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>question</mi></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vr</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>9</mn></mrow></mfenced><mo>+</mo><mi>random</mi><mfenced><mrow><mn>0</mn><mo>,</mo><mn>1</mn><mo>.</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>er</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mn>0</mn><mo>.</mo><mn>01</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>09</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pr</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mn>3</mn><mo>,</mo><mn>6</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>correct</mi><mo> </mo><mi>answer</mi></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mi>vr</mi><mo>*</mo><msup><mn>10</mn><mi>pr</mi></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>er</mi><mo>*</mo><msup><mn>10</mn><mi>pr</mi></msup></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>v</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>90937.</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>1709.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vr</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9.0937</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>er</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.17095</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pr</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>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>v</mi><mi>r</mi><mspace linebreak="newline"/><mi mathvariant="normal">e</mi><mi>r</mi><mi>r</mi><mi>o</mi><mi>r</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">e</mi><mi>r</mi><mspace linebreak="newline"/><mi>p</mi><mi>o</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi><mo>=</mo><mo>#</mo><mi>p</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_no_more_decimals"><param name="digits">2</param></assertion><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="float_format">f</option><option name="precision">2</option><option name="tolerance">10^(-15)</option><option name="relative_tolerance">false</option><option name="times_operator">·</option><option name="implicit_times_operator">false</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"/><data name="inputCompound">true</data></localData></question> Rounding 3 Write this in equivalent units:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»#«/mo»«mi»v«/mi»«mo»§#160;«/mo»«mo»§#177;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»e«/mi»«mo»)«/mo»«mo»§#160;«/mo»«msup»«mtext»m«/mtext»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#8201;«/mo»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»u«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mo»§#177;«/mo»«mo»§#160;«/mo»«mi»e«/mi»«mi»r«/mi»«mi»r«/mi»«mi»o«/mi»«mi»r«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 value=#vrerror=#er]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>question</mi></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mn>100</mn><mo>,</mo><mn>200</mn></mrow></mfenced><mo>+</mo><mi>random</mi><mfenced><mrow><mn>0</mn><mo>.</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>0</mn><mo>.</mo><mn>9</mn><mo>.</mo><mo>.</mo><mn>0</mn><mo>.</mo><mn>01</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>random</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>9</mn></mrow></mfenced><mo>+</mo><mi>random</mi><mfenced><mrow><mn>0</mn><mo>.</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>0</mn><mo>.</mo><mn>9</mn><mo>.</mo><mo>.</mo><mn>0</mn><mo>.</mo><mn>01</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>correct</mi><mo> </mo><mi>answer</mi></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vr</mi><mo>=</mo><mi>v</mi><mo>*</mo><msup><csymbol definitionURL="http://.../units/meter">m</csymbol><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>er</mi><mo>=</mo><mi>e</mi><mo>*</mo><msup><csymbol definitionURL="http://.../units/meter">m</csymbol><mn>2</mn></msup></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>v</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>140.14</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>9.2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vr</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>140.14</mn><mo> </mo><msup><csymbol definitionURL="http://.../units/meter">m</csymbol><mn>2</mn></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>er</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9.2</mn><mo> </mo><msup><csymbol definitionURL="http://.../units/meter">m</csymbol><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"><mi>v</mi><mi>al</mi><mi>u</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>v</mi><mi>r</mi><mspace linebreak="newline"/><mi mathvariant="normal">e</mi><mi>r</mi><mi>r</mi><mi>o</mi><mi>r</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">e</mi><mi>r</mi><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="float_format">f</option><option name="precision">2</option><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</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> System Solve:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mo»#«/mo»«mi»q«/mi»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»#«/mo»«mi»q«/mi»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

]]> 1.0000000 0.3333333 0 0 x=#a1y=#a2]]> <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>R</mi><mfenced><mrow/></mfenced><mo>:</mo><mo>=</mo><mi>random</mi><mfenced><mrow><mfenced><mrow><mo>-</mo><mn>10</mn><mo>.</mo><mo>.</mo><mo>+</mo><mn>10</mn></mrow></mfenced><mo>/</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mo>*</mo><mi>x</mi><mo>+</mo><mi>random</mi><mfenced><mrow><mfenced><mrow><mo>-</mo><mn>10</mn><mo>.</mo><mo>.</mo><mo>+</mo><mn>10</mn></mrow></mfenced><mo>/</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></mrow></mfenced><mo>*</mo><mi>y</mi><mo>+</mo><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mo>+</mo><mn>10</mn></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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>q1</mi><mo>=</mo><mfenced><mrow><mi>R</mi><mfenced><mrow/></mfenced><mo>=</mo><mi>R</mi><mfenced><mrow/></mfenced></mrow></mfenced></mtd></mtr><mtr><mtd><mi>q2</mi><mo>=</mo><mfenced><mrow><mi>R</mi><mfenced><mrow/></mfenced><mo>=</mo><mi>R</mi><mfenced><mrow/></mfenced></mrow></mfenced></mtd></mtr><mtr><mtd><mi>s</mi><mo>=</mo><mi>solve</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>q1</mi><mo>,</mo><mi>q2</mi></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>length</mi><mfenced><mi>s</mi></mfenced><mo>≠</mo><mn>0</mn></mrow><mrow><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>a1</mi><mo>,</mo><mi>a2</mi></mtd></mtr></mtable></mfenced><mo>=</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><msub><mi>s</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>,</mo><mtable align="center"><mtr><mtd><msub><mi>s</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></mtd></mtr></mtable></mtd></mtr></mtable></mfenced></mrow><mrow><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>a1</mi><mo>,</mo><mi>a2</mi></mtd></mtr></mtable></mfenced><mo>=</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>,</mo><mi>y</mi></mtd></mtr></mtable></mfenced></mrow></apply></mtd></mtr></mtable><mrow><mi>a1</mi><mo>∈</mo><reals/><mo> </mo><mo>∧</mo><mo> </mo><mi>a2</mi><mo>∈</mo><reals/></mrow></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>q1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>10</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>10</mn><mo>*</mo><mi>y</mi><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>7</mn><mo>=</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>+</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</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>1</mn><mn>6</mn></mfrac><mo>,</mo><mi>y</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>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>6</mn></mfrac></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></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>a</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>a</mi><mn>2</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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"/></localData></question>