Pre-Calc/Trig Unit 2: Circular Functions/3.1 Radian Measure Circular pulley rotating about its center Solve the problem.
A circular pulley is rotating about its center. Through how many radians would it turn in #a rotations?

]]> 1.0000000 0.3333333 0 true true ABCD #b

]]> #c

]]> #d

]]> #e

]]> Answer not shown

]]> 1.0000000 0.3333333 0 true true ABCD #b

]]> #c

]]> #d

]]> #e

]]> Answer not shown

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>15</mn><mo>,</mo><mn>22</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>55</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mfrac><mi>b</mi><mn>60</mn></mfrac><mo>)</mo></mrow><mn>180</mn></mfrac><mo>*</mo><pi/><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Convert degrees to radians (multiple of pi) Convert the degree measure to radians. Leave answer in terms of π.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><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>225</mn><mo>,</mo><mn>240</mn><mo>,</mo><mn>270</mn><mo>,</mo><mn>300</mn><mo>,</mo><mn>315</mn><mo>,</mo><mn>330</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mi>a</mi><mn>180</mn></mfrac><mo>*</mo><pi/></math></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Convert radians to degrees (decimals) Convert the radian measure to degrees. Give answer using decimal degrees to the nearest tenth. Use 3.1416 for π.

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

tan #a

]]> 1.0000000 0.3333333 0 true true ABCD Undefined

]]> 0

]]> 1

]]> -1

]]> Answer not shown

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>6</mn></mfrac><mo>,</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>2</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>4</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>11</mn><pi/></mrow><mn>6</mn></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Find exact value with radians (sin) Find the exact value without using a calculator. Answer should be properly simplified.

sin #a

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>6</mn></mfrac><mo>,</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>2</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>4</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>11</mn><pi/></mrow><mn>6</mn></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Find exact value with radians (tan) Find the exact value without using a calculator. Answer should be properly simplified.

tan #a

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>6</mn></mfrac><mo>,</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>2</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>4</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>11</mn><pi/></mrow><mn>6</mn></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Pre-Calc/Trig Unit 2: Circular Functions/3.2 Apps of Radian Measure Angle that wheel turns Solve the problem.

A car wheel has a #a -inch radius. Through what angle (to the nearest tenth of a degree) does the wheel turn when the car rolls forward 1.5 ft?

A sensor light installed on the edge of a home can detect motion for a distance of #a ft in front and with a range of motion of «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«/math» Over what area will the sensor detect motion and become illuminated?

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mn>45</mn><mo>,</mo><mn>55</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>195</mn><mo>,</mo><mn>210</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>*</mo><msup><mi>a</mi><mn>2</mn></msup><mo>*</mo><mi>b</mi><mo>*</mo><mfrac><pi/><mn>180</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Difference in wiper coverage Solve the problem. Round answer to 1 decimal place.
What is the difference in area covered by a single 10-inch windshield wiper operating with a central angle of «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«/math» compared to a pair of 3-inch wipers operating together each having a central angle of «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«/math»?

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mn>120</mn><mo>,</mo><mn>128</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>108</mn><mo>,</mo><mn>118</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mn>50</mn><mo>*</mo><mi>a</mi><mo>*</mo><mfrac><pi/><mn>180</mn></mfrac><mo>-</mo><mn>9</mn><mo>*</mo><mi>b</mi><mo>*</mo><mfrac><pi/><mn>180</mn></mfrac><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="precision">3</option><option name="relative_tolerance">false</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">null</data></localData></question> Find arc length Find the length of an arc intercepted by a central angle θ in a circle of radius r. Round your answer to 1 decimal place.

r = #a cm.; θ = #b radians

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>6</mn></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>b</mi><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><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="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find area of sector Find the area of a sector of a circle having radius r and central angle θ. Express the answer to the nearest tenth.

r = #a m, θ = #b °

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mn>15</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>15</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>*</mo><msup><mi>a</mi><mn>2</mn></msup><mo>*</mo><mi>b</mi><mo>*</mo><mfrac><pi/><mn>180</mn></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>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><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="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find distance between cities, given latitudes Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Find the distance between Johnson City, #a ° N and Lexington, #b ° S. (Round to the nearest kilometer.)

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mn>35</mn><mo>,</mo><mn>45</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>55</mn><mo>,</mo><mn>65</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>6400</mn><mo>*</mo><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo><mo>*</mo><mfrac><pi/><mn>180</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</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">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find latitude, given distance between cities Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Find the latitude of Winnipeg, Canada if Winnipeg and Austin, TX, 40° N, are #a km apart. (Round to the nearest degree.)

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mn>77</mn><mo>,</mo><mn>85</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mi>a</mi><mn>1</mn></mfrac><mo>*</mo><mfrac><mn>60</mn><mn>1</mn></mfrac><mo>*</mo><mfrac><mn>1</mn><mn>360</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="precision">3</option><option name="relative_tolerance">false</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">null</data></localData></question> Pre-Calc/Trig Unit 2: Circular Functions/3.3 Unit Circle Angle for exact value (Cos-3rd quadrant) Find the exact value of θ in the given interval that has the given circular function value.
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨[¨ close=¨]¨»«mrow»«mi mathvariant=¨normal¨»§#960;«/mi»«mo»,«/mo»«mfrac»«mrow»«mn»3«/mn»«mi mathvariant=¨normal¨»§#960;«/mi»«/mrow»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«/math»; cos θ = «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mo>-</mo><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac><mo>,</mo><mo>-</mo><mfrac><msqrt><mn>3</mn></msqrt><mn>2</mn></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mrow><mn>2</mn><pi/></mrow><mn>1</mn></mfrac><mo>-</mo><mo>(</mo><mfrac><mrow><mi>arccos</mi><mo> </mo><mi>a</mi></mrow><mn>1</mn></mfrac><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="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="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Angle for exact value (Sin-2nd quadrant) *issue w/decimals Find the exact value of θ in the given interval that has the given circular function value.
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨[¨ close=¨]¨»«mrow»«mfrac»«mi mathvariant=¨normal¨»§#960;«/mi»«mn»2«/mn»«/mfrac»«mo»,«/mo»«mi mathvariant=¨normal¨»§#960;«/mi»«/mrow»«/mfenced»«/math»; sin θ = «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>,</mo><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac><mo>,</mo><mfrac><msqrt><mn>3</mn></msqrt><mn>2</mn></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><pi/><mn>1</mn></mfrac><mo>-</mo><mo>(</mo><mfrac><mrow><mi>asin</mi><mo> </mo><mi>a</mi></mrow><mn>1</mn></mfrac><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="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="tolerance">10^(-15)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Angle for exact value (Tan-3rd quadrant) Find the exact value of θ in the given interval that has the given circular function value.
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨[¨ close=¨]¨»«mrow»«mi mathvariant=¨normal¨»§#960;«/mi»«mo»,«/mo»«mfrac»«mrow»«mn»3«/mn»«mi mathvariant=¨normal¨»§#960;«/mi»«/mrow»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«/math»; tan θ = «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«/math»

sin #a

cos #a

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>6</mn></mfrac><mo>,</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>2</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>4</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>11</mn><pi/></mrow><mn>6</mn></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>cos</mi><mo> </mo><mi>a</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="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="tolerance">10^(-15)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Exact value-radians (Sin) Find the exact circular function value. Give answer as a properly simplified fraction.

Sin #a

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>6</mn></mfrac><mo>,</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>2</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>4</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>11</mn><pi/></mrow><mn>6</mn></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>sin</mi><mo> </mo><mi>a</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-15)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Exact value-radians (Tan) Find the exact circular function value. Give answer as a properly simplified fraction.

Tan #a

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>6</mn></mfrac><mo>,</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>2</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>6</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>4</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>5</mn><pi/></mrow><mn>3</mn></mfrac><mo>,</mo><mfrac><mrow><mn>7</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>11</mn><pi/></mrow><mn>6</mn></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>tan</mi><mo> </mo><mi>a</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-15)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Find the exact value of s in the given interval that has the given circular ... Find the exact value of s in the given interval that has the given circular function value.

; tan s = 1]]> 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 1.0000000 0.3333333 0 true true abc ]]> 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 Correct ]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmAA8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9EfGXx38KeBPEX9h6lH4iutS2o2zRvCuqaogLKzKpktbaRA+1GbZu3ADJGMGuh8BePNH+Jfhi18QaC17Jpd0W8mS/065sJHAOCfKuI0fHoduD1BNM1nwlNrPivT9UbU5ILOzsLu1W0hQq5mmMWJ/M3cFEjdQNp/1pOeBWb8GvBGtfDX4c6N4W1vX7fxLJpFvHY2uoQaebJmto0VIhKhlkDSAL8zqVDdkXu0lbX+tX/wAB/wDB0B9Lf1/X9dzyr4zfBr4F/CD4aeIPFbfAnwNrU2m2c1zDptv4asEe5aONpCu4wkIoVGZmwdqqxwSAD6t8Mfhp4H8A6Y154N8FeH/Bv9rQwy3aaFpkFn52FJQSGJF37fMfGem5sYya4b9qb4NeLvi54JvbTwZ4km0jV59Ou9K+xzXNrb2MsVymyR5Xk0+7lyAANsXlkgsN6k5r0j4aaVreheANA07xJcJda7aWccN3PHcLOryKMEiRYIA2cdRDH/u1ScHT/vX/AAHKy5UvP9Lfr/VjpqKKKgR//9k= Incorrect ]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmABYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9Avjx8V9S+GOhafLodjaajqM+p6dBcC7ciO2tJ76C2eUqpBZj52EGQM5Y5CFSnij9pTwP4P1jUtN1AeJpJ9OEhuZtP8H6xfWyBApkIngtXiYJvXcVYhScHB4rl/2kf2XpfjosM+k+K7vwpqLSWpupmu9Vlgmjt5hNCq21tqNrErBwf3hVmG7KlGCuOs8ZfBy88baB4t0278SzWh1zw1H4fhntIW3WTYm82cb5XMhcyplWOcRAFm3E1acfZ67pv5qytb8d+71tYv3dF/X9ff6He+HdftPFOhWOr2AuRZXsKzw/bLSW1l2MMjdFKqyIfZlB9qKj8L2us2Ph+yg8QalZ6vrMabbm+sLJrOGZsn5lhaWUpxjI3tzk8ZwCpdk3Yyjeyueaat+yz8GbHTLm4s/gd4C1K6jjLRWkfhvT4zK3ZdzRgD6n9a4j4Y/A/wCGvijX/FGg+Kv2c/hl4e1TQ2tj5uk6baalZXKTRlwFleygcSLtO5GjGA0ZBIbj6D8T/wBtDQrs+HlsH1lVDW8epl1t5CCCUdkBZQwyN4DbSQdrY2nyv4GfA8fDrxV4i8Tnwv4X8Ay6xa29m/hvwXK0lgTC8r/apHNvbh5m83bxCu1U5Z93ypbv+v8Ah+34lPRX6npHgr4e+FfhrpUumeEPDOj+FdNlmNzJZ6JYRWcLylVUyFI1UFiqIN2M4UDsKK6CigAooooAKKKKAP/Z Incorrect ]]> 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 Incorrect Find the exact value of s in the given interval that has the given circular ... Find the exact value of s in the given interval that has the given circular function value.

; sin s =

sec t = #a

tan s = #a

where t represents the maximum afternoon temperature in degrees Fahrenheit in month x, with

representing January,

representing February, and so on. Find the maximum afternoon temperature in May.]]> 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 1.0000000 0.3333333 0 true true abc 77°F Correct 88°F Incorrect 47°F Incorrect 82°F Incorrect Pre-Calc/Trig Unit 2: Circular Functions/3.4 Linear and Angular Speed Angular speed of pulley Solve the problem.

Two pulleys of diameters 6 m and 3 m are connected by a belt. The larger pulley rotates #a times per min. Find the angular speed of the smaller pulley.

]]> 1.0000000 0.3333333 0 true true ABCD «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»d«/mi»«mi»i«/mi»«mi»a«/mi»«mi»n«/mi»«mi»s«/mi»«/mrow»«mrow»«mi»m«/mi»«mi»i«/mi»«mi»n«/mi»«mi»u«/mi»«mi»t«/mi»«mi»e«/mi»«/mrow»«/mfrac»«/math»

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mo»#«/mo»«mi»c«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»d«/mi»«mi»i«/mi»«mi»a«/mi»«mi»n«/mi»«mi»s«/mi»«/mrow»«mrow»«mi»m«/mi»«mi»i«/mi»«mi»n«/mi»«mi»u«/mi»«mi»t«/mi»«mi»e«/mi»«/mrow»«/mfrac»«/math»

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mo»#«/mo»«mi»d«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»d«/mi»«mi»i«/mi»«mi»a«/mi»«mi»n«/mi»«mi»s«/mi»«/mrow»«mrow»«mi»m«/mi»«mi»i«/mi»«mi»n«/mi»«mi»u«/mi»«mi»t«/mi»«mi»e«/mi»«/mrow»«/mfrac»«/math»

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mo»#«/mo»«mi»e«/mi»«mo»§#160;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»d«/mi»«mi»i«/mi»«mi»a«/mi»«mi»n«/mi»«mi»s«/mi»«/mrow»«mrow»«mi»m«/mi»«mi»i«/mi»«mi»n«/mi»«mi»u«/mi»«mi»t«/mi»«mi»e«/mi»«/mrow»«/mfrac»«/math»

]]> Answer not shown

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</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><mn>0</mn><mo>.</mo><mn>4</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mi>a</mi><mrow><mi>b</mi><mo>*</mo><mi>c</mi></mrow></mfrac><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Solve for missing variable (II) Use the formula v = rω to find the value of the missing variable. Round to 3 decimal places.

v = #a ft per sec, r = #b ft

Use the formula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#969;«/mi»«mo»=«/mo»«mfrac»«mi»§#952;«/mi»«mi»t«/mi»«/mfrac»«/math» to find the value of the missing variable. Give answer as properly simplified fraction.

ω = #a radian per min, t = #b min

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>10</mn></mfrac><mo>,</mo><mfrac><pi/><mn>9</mn></mfrac><mo>,</mo><mfrac><pi/><mn>8</mn></mfrac><mo>,</mo><mfrac><pi/><mn>7</mn></mfrac><mo>,</mo><mfrac><pi/><mn>6</mn></mfrac><mo>,</mo><mfrac><pi/><mn>5</mn></mfrac><mo>,</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>9</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>b</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-15)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Speed of point on rim of tire Solve the problem.
A wheel with a 13-inch diameter is turning at the rate of «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mfrac»«mrow»«mi»r«/mi»«mi»e«/mi»«mi»v«/mi»«mi»o«/mi»«mi»l«/mi»«mi»u«/mi»«mi»t«/mi»«mi»i«/mi»«mi»o«/mi»«mi»n«/mi»«mi»s«/mi»«/mrow»«mrow»«mi»m«/mi»«mi»i«/mi»«mi»n«/mi»«mi»u«/mi»«mi»t«/mi»«mi»e«/mi»«/mrow»«/mfrac»«/math». To the nearest inch, what is the speed of a point on the rim in «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»i«/mi»«mi»n«/mi»«mi»c«/mi»«mi»h«/mi»«mi»e«/mi»«mi»s«/mi»«/mrow»«mrow»«mi»m«/mi»«mi»i«/mi»«mi»n«/mi»«mi»u«/mi»«mi»t«/mi»«mi»e«/mi»«/mrow»«/mfrac»«/math» ?

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>5</mn><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>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><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfenced close="|" open="|"><mfrac><mrow><mn>2</mn><mo>*</mo><pi/></mrow><mi>b</mi></mfrac></mfenced></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></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">null</data></localData></question> Equation for weight attached to a spring Solve the problem.
A weight attached to a spring is pulled down #a inches below the equilibrium position. Assuming that the period of the system is #b second, determine a trigonometric model that gives the position of the weight at time t seconds.

Select one:

]]> 1.0000000 0.3333333 0 true true ABCD #f1

]]> #f2

]]> #f3

]]> #f4

]]> Answer not given

]]> 1.0000000 0.3333333 0 true true ABCD #g1

]]> #g2

]]> #g3

]]> Graph not given

]]> <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>s1</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s2</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s3</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</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>1</mn><mo>,</mo><mn>2</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>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><pi/><mn>2</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><pi/><mo>,</mo><mn>2</mn><pi/><mo>,</mo><mn>3</mn><pi/><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mfrac><mi>x</mi><mi>b</mi></mfrac><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mi>plot</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>f1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mi>plot</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>plot</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>f3</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><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">null</data></localData></question> The function graphed is of the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the graph.

]]> y = 5 cos (3x)

]]> Incorrect

]]> y = 5 sin

]]> y = -5 cos (3x)

]]> Incorrect

]]> Answer not shown

]]> Incorrect

]]> The function graphed is of the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the graph.

]]> y = 4 sin (3x)

]]> Incorrect

]]> y = 4 cos (3x)

]]> Incorrect

]]> y = 4 cos

]]> Answer not shown

]]> Incorrect

]]> Pre-Calc/Trig Unit 2: Circular Functions/4.2 Translations of Sin//Cos Estimate temperature in Fairbanks Solve the problem.

The temperature in Fairbanks is approximated by

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»T«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»37«/mn»«mi»sin«/mi»«mfenced open=¨[¨ close=¨]¨»«mrow»«mfrac»«mrow»«mn»2«/mn»«mi mathvariant=¨normal¨»§#960;«/mi»«/mrow»«mn»365«/mn»«/mfrac»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mn»101«/mn»«mo»)«/mo»«/mrow»«/mfenced»«mo»+«/mo»«mn»25«/mn»«/math»

where T(x) is the temperature on day x, with x = 1 corresponding to Jan. 1 and x = 365 corresponding to Dec. 31. Estimate the temperature on day #a. Round to the nearest degree.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>5</mn><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>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</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>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</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><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfenced close="|" open="|"><mi>a</mi></mfenced></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></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">null</data></localData></question> Find period from equation Find the specified quantity.
Find the period of:

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>5</mn><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>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</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>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</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><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mrow><mn>2</mn><mo>*</mo><pi/></mrow><mi>b</mi></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>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></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">null</data></localData></question> Find phase shift Find the phase shift of the function. Enter a positive number for a shift to the right, and negative for a shift to the left.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</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><mo>{</mo><pi/><mo>,</mo><mn>2</mn><pi/><mo>,</mo><mn>3</mn><pi/><mo>,</mo><mn>4</mn><pi/><mo>,</mo><mn>5</mn><pi/><mo>,</mo><mn>6</mn><pi/><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>-</mo><mfrac><mi>c</mi><mi>b</mi></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>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-15)</option><option name="relative_tolerance">false</option><option name="precision">4</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">null</data></localData></question> Find phase shift from equation Find the specified quantity.
Find the phase shift of:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>5</mn><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>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</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>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</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><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>c</mi></mrow><mi>b</mi></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>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></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">null</data></localData></question> Find smallest time in alternating current Solve the problem.
A generator produces an alternating current according to the equation «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»I«/mi»«mo»=«/mo»«mn»80«/mn»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»§#960;«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»t«/mi»«mo»)«/mo»«/math», where t is time in seconds and I is the current in amperes. What is the smallest time t such that I = 40?

]]> 1.0000000 0.3333333 0 0 #answer]]> <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>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>110</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mrow><mo>(</mo><mi>arcsin</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>)</mo><mo>)</mo></mrow><mrow><mo>(</mo><mi>b</mi><mo>*</mo><pi/><mo>)</mo></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>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</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="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find vertical shift Find the vertical translation of «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»d«/mi»«mo»§#8201;«/mo»«mo»)«/mo»«/math».

Use a positive number for shifting up, and a negative for down.

]]> shifted 7 units to the left «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mn»4«/mn»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»8«/mn»«mo»)«/mo»«/math»

]]> shifted 4 units to the right «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»§#960;x«/mi»«mo»+«/mo»«mi mathvariant=¨normal¨»§#960;«/mi»«mo»)«/mo»«/math»

]]> shifted 1 unit to the left shifted 7 units to the right shifted 4 units to the left There is no phase shift <question><correctAnswers><correctAnswer></correctAnswer></correctAnswers></question> Solve the problem.Use regression to find constants a, b, c, and d so that ... Solve the problem.

Use regression to find constants a, b, c, and d so that f(x) = a sin (bx + c) + d models the data given below.

where d is the least possible positive value. Determine the equation of the graph.

]]> 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 1.0000000 0.3333333 0 true true abc y = sin x - 1 Correct y = sin (x - 1) Incorrect y = cos (x + 1) Incorrect y = cos x - 1 Incorrect Pre-Calc/Trig Unit 2: Circular Functions/4.3 Graphs of Tan//Cot Graph cot function Select the appropriate graph for this function.

y = #a cotan #b x

]]> 1.0000000 0.3333333 0 true true ABCD #g1

]]> #g2

]]> #g3

]]> Graph not given

]]> <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>s1</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s2</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s3</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</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>1</mn><mo>,</mo><mn>2</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>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><pi/><mn>2</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><pi/><mo>,</mo><mn>2</mn><pi/><mo>,</mo><mn>3</mn><pi/><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>cotan</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><mi>cotan</mi><mo>(</mo><mfrac><mi>x</mi><mi>b</mi></mfrac><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mo>(</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>*</mo><mi>a</mi><mo>)</mo><mo>*</mo><mi>cotan</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mi>plot</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>f1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mi>plot</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>plot</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>f3</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><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">null</data></localData></question> Graph tan function Select the appropriate graph for this function.

y = #a tan #b x

]]> 1.0000000 0.3333333 0 true true ABCD #g1

]]> #g2

]]> #g3

]]> Graph not given

]]> <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>s1</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s2</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s3</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</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>1</mn><mo>,</mo><mn>2</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>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><pi/><mn>2</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><pi/><mo>,</mo><mn>2</mn><pi/><mo>,</mo><mn>3</mn><pi/><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>tan</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><mi>tan</mi><mo>(</mo><mfrac><mi>x</mi><mi>b</mi></mfrac><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mo>(</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>*</mo><mi>a</mi><mo>)</mo><mo>*</mo><mi>tan</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mi>plot</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>f1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mi>plot</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>plot</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>f3</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><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">null</data></localData></question> Graph the function.y = cot x Graph the function.

y =

cot x

tan 2x

]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCADMAMgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U6KKqXurWOnXNhb3d7b2txfzG2s4ppVRrmURvKY4wTl2EcUj7Rk7Y3PRSQAW6KK4rwB41vvFXiv4laZdxW8dv4a8QQ6VZtCrBpIm0rT7wtISxBbzLuQZAA2qgxkEkA7Wiiqllq1jqNzf29pe291cWEwtryKGVXa2lMaSiOQA5RjHLG+04O2RD0YEgFuiuK+N/jW++GvwX8feL9Mit59S0Dw/qGq2sV2rNC8sFtJKiuFZSVLIAQCDjOCOtdrQAUVU1bVrHQNKvdT1O9t9O02yhe5ury7lWKGCJFLPI7sQFVVBJYkAAEmrdABRXFat41vrD40eFfCEcVudN1Xw/q+qzysrecstrc6bFGqndgKVvZSwIJJVMEYIPP8Aib40X3hn46eFfAEuj6TLaeIUkNvcjX401IeXBLLJKLBoxugXywhkEu7c3CEAmjqkHS55/wCNfhxrl/8AtT+EdSXxpqFt4kl8M+JLrTbiIOunWUcV9oywWz2Il2TxMkricu3mSs5dHgMVqLb2m++LfgbTNautHvPGnh601e0mgt7iwn1WBJ4ZZziCN4y+5WkPCAjLds14t41/aF+FmjftT+Eft/xL8H2P9k+GfEmm6h9p161j+x3RvtGxbzZkHlynyJsI2G/dScfKcdbrHwtuPFP7Slj4pbS9U0nRtK05FvLlry3+x67co26y/cIzSE2xmujvkEeGZAokXlVq5JdOvpv/AMBedg6NntFFcV8IfGt94/8ACl/qeoRW8NxB4g1zSlW2VlUxWeq3VnExDMTuMduhY5wWLEADAHa0wCiqmmatY61bPcafe29/bpNNbNLbSrIqyxSNFLGSpIDJIjoy9VZWBwQRXK/F7xrfeAPClhqenxW81xP4g0PSmW5VmURXmq2tnKwCsDuEdw5U5wGCkgjIIB2tFFVNT1ax0W2S41C9t7C3eaG2WW5lWNWllkWKKMFiAWeR0RV6szKBkkCgC3RRXFaT41vr/wCNHirwhJFbjTdK8P6RqsEqq3nNLdXOpRSKx3YKhbKIqAAQWfJOQAAdrRRVSPVrGbVbjTI723fUraGK5ns1lUzRRSNIscjJnKq7QyhWIwTG4GdpwAW6KKKACiiigAryr4N/8lF+O3/Y523/AKj2jV6rXlXwb/5KL8dv+xztv/Ue0agD1WiiigDyr9rH/k1j4yf9iZrP/pDNXqteVftY/wDJrHxk/wCxM1n/ANIZq9VoAKKKKAPKvEf/ACdP8PP+xM8S/wDpdoVbWtfCeHxJ8QtJ8Uat4h1e/t9Hn+2aboEiWi2Vnc+S0JnR0gFwWKSS/K8zJ85+XhduL4j/AOTp/h5/2JniX/0u0KvVaOtw8jyrxH/ydP8ADz/sTPEv/pdoVeq15V4j/wCTp/h5/wBiZ4l/9LtCr1WgDyr9mn/knWr/APY5+LP/AFIdRr1WvKv2af8AknWr/wDY5+LP/Uh1GvVaACvKv2lv+SdaR/2OfhP/ANSHTq9Vryr9pb/knWkf9jn4T/8AUh06gD1WiiigAryrw5/ydP8AEP8A7Ezw1/6Xa7XqteVeHP8Ak6f4h/8AYmeGv/S7XaAPVaKKKACiiigAooqpeyXyXNgtpb289u8xW8ea4aNoYvLch41CMJG8wRrtJQbWdtxKhHALdeVfA7/iYeI/i9rtv+80rV/Gcn2K46eb9k06w025+U/Muy7sLuL5gN3lblyjKzeq15V+zT/yTrV/+xz8Wf8AqQ6jQB6rRRVSykvnub9bu3t4LdJgtm8Nw0jTReWhLyKUURt5hkXaC42qjbgWKIAea/tVf6T+zj8RdKj+a/17Rbjw9p0PTz7+/X7FZw56L5lxcQpuYhV37mKqCR6rXlX7S3/JOtI/7HPwn/6kOnV6rQAUVU1aS+h0q9k0y3t7zUkhdrW3u7hoIZZQp2I8io5RS2AWCOQCSFbGDboA8q1L/ib/ALU/h77J+9/4R/wZqf8Aaf8AD9n/ALQvrD7F1xu8z+yr/wC7nb5Hzbd6bvVa8q8Of8nT/EP/ALEzw1/6Xa7XqtAHlXiP/k6f4ef9iZ4l/wDS7Qq9Vr5q8a618U4v2p/CP2Dwb4PufL8M+JI9P+0+LbqH7Ra/btGzLNjTH8mUYhxEvmKd8n7wbB5n0rQB5V+zF/pPwig1WP5rDXta1vxDp03Tz7C/1a7vbObHVfMt7iF9rAMu/awVgQPVa8q/ZO/5NY+Df/YmaN/6Qw16rQAV5V+0T/xMPDnhDQrf95qur+M9A+xW/Tzfsmow6lc/MflXZaWF3L8xG7ytq5dlVvStMkvpbZ21C3t7W4E0yqltcNMpiEjCJyzIhDNGEZlwQrMyhnCh281+Mn/JRfgT/wBjnc/+o9rNAHqtFFVNTkvorZG0+3t7q4M0KslzcNCoiMiiVwyo5LLGXZVwAzKqlkDF1ALdeVeDP+Jr+0d8UNVtf3thZ6LoPh6ebpsv4W1C9lhweTtt9TsX3AbT520EsjhfVa8q+Df/ACUX47f9jnbf+o9o1AHqtFFVI5L46rcRyW9uumrDE0FwtwxmeUtJ5iNHsAVVURFWDsWLuCqbAXALdFFFABRRRQAV5V+zT/yTrV/+xz8Wf+pDqNeq15V+y/8A6X8FdI1tOLTxPe6l4rs0b78drqeoXGoW6SDoJVhuo1cAsocMFZgAxAPVaKKKAPKv2lv+SdaR/wBjn4T/APUh06vVa8q/aD/4muneBPDEXy3+veM9H+zSPxEn2C4GrzbyORut9MnRcA5keMHapZ19VoAKKKKAPKvDn/J0/wAQ/wDsTPDX/pdrteq15V4D/wCJ3+0F8Vtbg+S00+y0TwpKknDtdW8dzqDuoGR5Rh1m1UEkNvSUFQArP6rQB5V4j/5On+Hn/YmeJf8A0u0KvVa8q8R/8nT/AA8/7EzxL/6XaFXa/ELxrY/DXwB4l8X6nFcT6boGmXOq3UVoqtM8UETSuqBmUFiqEAEgZxkjrQBxX7J3/JrHwb/7EzRv/SGGvVa4r4IeCr74a/BfwD4Q1OW3n1LQPD+n6VdS2jM0LywW0cTshZVJUshIJAOMZA6V2tABXlXxk/5KL8Cf+xzuf/Ue1mvVa8q+Jn/E7+NXwc0SD5LvT73VPFcrycI1rb6fLp7opGT5pm1m1YAgLsSUlgQquAeq0UUUAFeVfBv/AJKL8dv+xztv/Ue0avVa8q+BH/E11H4p+J4vlsNe8Z3f2aN+JU+wW9tpE28DgbrjTJ3XBOY3jJ2sWRQD1WiiigAooooAKKKqXumQ39zYTyvcK9lMbiIQ3MkSsxjePEiowEq7ZGOxwyhgj43IrAAt15V+yd/yax8G/wDsTNG/9IYaP2qv9J/Zx+IulR/Nf69otx4e06Hp59/fr9is4c9F8y4uIU3MQq79zFVBI9VoAKKKqWWmQ2FzfzxPcM97MLiUTXMkqqwjSPEauxES7Y1OxAqli743OzEA81+Mn/JRfgT/ANjnc/8AqPazXqteVal/xN/2p/D32T97/wAI/wCDNT/tP+H7P/aF9YfYuuN3mf2Vf/dzt8j5tu9N3qtABRVTVtMh1rSr3T7h7iO3u4Xt5HtLmS2mVWUqSksbK8bYPDowZTggggGrdAHlXwb/AOSi/Hb/ALHO2/8AUe0avVa8q/Zi/wBJ+EUGqx/NYa9rWt+IdOm6efYX+rXd7ZzY6r5lvcQvtYBl37WCsCB6rQB5V4j/AOTp/h5/2JniX/0u0Kj9rH/k1j4yf9iZrP8A6QzV5/41+B/hzVf2p/CPnal4wT+0vDPiS/n+zeNdZg2SC+0bCw+Xdr5EX758wxbYziPK/u02+gftE/8AEw8OeENCt/3mq6v4z0D7Fb9PN+yajDqVz8x+VdlpYXcvzEbvK2rl2VWAPVaKKKACvKvEf/J0/wAPP+xM8S/+l2hV6VpmmQ6TbPBA9w6PNNcE3NzJO26SRpGAaRmIUM5CoDtRQqKFVVUea+DP+Jr+0d8UNVtf3thZ6LoPh6ebpsv4W1C9lhweTtt9TsX3AbT520EsjhQD1Wiiqmp6ZDq1skE73CIk0NwDbXMkDbo5FkUFo2UlSyAMhO11LIwZWZSAW68q/Zp/5J1q/wD2Ofiz/wBSHUa7/wAWeKdL8DeFdZ8Sa3dfYtF0eym1C+ufLaTyYIkMkj7UBZsKpOFBJxwCa5X9nrwtqngb4BfDTw3rdr9i1rR/DOmaffW3mLJ5M8VrHHIm5CVbDKRlSQccEigD0CiiqkemQxarcagr3BuJ4Yrd0a5kaELG0jKViLbEYmVtzqoZgEDEhECgFuiiigAooooA8q+O/wDxNdR+FvhiX5bDXvGdp9pkTiVPsFvc6vDsJ4G640yBGyDmN5ANrFXX1WvKtA/4ub8ZdS8QN++8N+C/M0bSc/NFc6q4H2+7X7yP5CbLOORCrxyNqsLjBFeq0AFFFc/4/wDGtj8OvBureI9QiuLq3sITItnZKr3N5KSFitrdGZRJPNIyRRx5BeSRFHLCgDivhn/xO/jV8Y9bn+S70+90vwpEkfCNa2+nxagjsDk+aZtZulJBC7EiAUEMz+q1xXwh8FX3gnwbGmuS2934s1SaTVdfvLVmeKbUJjulWN3UO0EQ2wQCTLJbwQISdgrtaACuK+N/jW++GvwX8feL9Mit59S0Dw/qGq2sV2rNC8sFtJKiuFZSVLIAQCDjOCOtdrXlXxZ/4uD4q0D4ZQ/vbC8xrPifbyq6VC48u0kxkD7ZcBIjHKuye1h1JQQyCgDtfh74Ksfhr4A8NeENMluJ9N0DTLbSrWW7ZWmeKCJYkZyqqCxVASQAM5wB0roKKKAPKvEf/J0/w8/7EzxL/wCl2hUePP8Aid/tBfCnRJ/ktNPstb8VxPHw7XVvHbaeiMTkeUYdZumIADb0iIYAMrniP/k6f4ef9iZ4l/8AS7QqPhN/xcHxVr/xNm/e2F5nRvDG7lV0qFz5l3HnIH2y4DyiSJtk9rDprEBkNAHqtFFFABXlX7Pn/E107x34nl+W/wBe8Z6x9pjTiJPsFwdIh2A8jdb6ZA7ZJzI8hG1SqL0Hxe8a33gnwbI+hxW934s1SaPStAs7pWeKbUJjtiaREYO0EQ3TzmPLJbwTuAdhrV8AeCrH4deDdJ8OafLcXVvYQiNry9ZXubyUktLc3DqqiSeaRnlkkwC8kjseWNAHQUUUUAeVftQf6X8FdX0R+LTxPe6b4UvHX78drqeoW+n3DxnoJVhupGQkMocKWVgCp9VryrX/APi5vxl03w+v77w34L8vWdWx80Vzqrg/YLRvvI/kJvvJI3CvHI2lTIcE16rQAUUUUAFFFFAHz/4J/a50XxXea7fy6L4wg0GG9l07Tobf4f6/cXDvbTSw3M00kdo0a7pUKrAMvGIsyMJJGgg5/wCOP7Ys/hXT/DVv4C8L+KNT13WtTl0xYtZ8A69FFGTp95LFLhreNpFjnhgeVIvMl+zrcFI2ZQR9Fad4W0vSNd1fWLK1+zX+r+Sb5o5GCXDxKUSVo87PN2bUMgG9kiiVmKxRhcDVfhD4d174oaV491OO41DXdGhWLSBPMfJ01tl1HNJAowVaeO7KSgkq4t7Yld0KMADz/wAAfGHwH8OvBuk+HNP034kXVvYQiNry9+HXiB7m8lJLS3Nw66eoknmkZ5ZJMAvJI7HljXQf8NLeEf8AoEfED/w3HiH/AOQa9VooA8q/4aW8I/8AQI+IH/huPEP/AMg14ov7SEHxR+NWpaXrXhzxhF4B8E60l7bvbeA9ckfUrr+z7OS0iuIVtZCPImuLy4ZZY4WDppUsRba7H6L+L3jW+8E+DZH0OK3u/FmqTR6VoFndKzxTahMdsTSIjB2giG6ecx5ZLeCdwDsNHwn+EPh34NeHp9L8Px3DPezJe6nqF7MZbnU70W8MEl5cNwGnlWBHkdVXfIXcjc7EgHP/APDS3hH/AKBHxA/8Nx4h/wDkGj/hpbwj/wBAj4gf+G48Q/8AyDXqtFAHz/8AFj9rnRfB/wALPGWvaJovjB9a0vRb2+sV1b4f6/BZmeKB3jE8j2kapFuUbmZ0AXJLKBkZXwm+Nui2X9v+KfEvh74gWvinxNem5mtn+Hmvytp9lHmOxsgy2TAeXD+8kRJHjF1c3jxsVkFdV8TPC2l/tC+O5/h3rNr/AGn4B0Oya58SWwkZYr69uYnjtLJmQ4PkwtLdyIdkkcj6VNG3Ne10AeVf8NLeEf8AoEfED/w3HiH/AOQaP+GlvCP/AECPiB/4bjxD/wDINeq1U1bVrHQNKvdT1O9t9O02yhe5ury7lWKGCJFLPI7sQFVVBJYkAAEmgD41+Pvxwg8T/GDwTYeGNN+IFjJqnhnXdGvNUg8Fa5a3WmWs97ozXF3APsgm81YIZlikijkWO4ktfNCoxNe66T+0B4D0DSrLTNM8N+ONO02yhS2tbO0+GfiCKGCJFCpGiLYAKqqAAoAAAAFef/DPSb69/aS8H+Otdsrix8Q+MfCXiPUGs76Jo7jTdPW80JbCxdHG+Jo4cSSw7mVbq4vGQ4kr6goA8q/4aW8I/wDQI+IH/huPEP8A8g0f8NLeEf8AoEfED/w3HiH/AOQa9VrzT436tfXulaZ4F0K9uLHxD4xmbT1vLGVo7jTdPVd1/fI6HfE0cOY4ptrKt1cWauMSUAeFfDT9pCD4m/EK88V+LvDnjC20rwte6tpHh6Cw8B65cRXM32+4ge+dUtZVWVLSK3t1JMc0ck2qRvGqOgr2v/hpbwj/ANAj4gf+G48Q/wDyDXa+A/AHh34YeGYPDvhXSbfQtCgmuLiDT7QFYYWnneeQIucIpklchFwqghVAUADoKAPKv+GlvCP/AECPiB/4bjxD/wDINcV8Yf2xdK8C+CDq+geF/HGr6kmp6ZbCwuPAOtwG4imv7eGaOJ57eGPzzFJIIlaRQ0pjX5s7T9FV4pN4W0v4+/FO81HWbX+0fCHgW9gttFjMjLFPrkM8VzcXqlSVf7M0UFrG6lWST+1YJFZWwQDA+EPxh8P+CfBsaa5pvji78WapNJquv3lr8OvEbxTahMd0qxu+nh2giG2CASZZLeCBCTsFdr/w0t4R/wCgR8QP/DceIf8A5Br1WigDyr/hpbwj/wBAj4gf+G48Q/8AyDXj/jH9qafxX8aLXwXpukeONO8H2UOka/qOsWXgjXotQUJc3rta7FtjIFnltbFPmhEUkA1FPM37APpXx/41sfh14N1bxHqEVxdW9hCZFs7JVe5vJSQsVtbozKJJ5pGSKOPILySIo5YVynwY+EMPw+trzxBq0dvcfEXxJDDL4o1a1mkkiurhZJ5hHGXwTBA11LDAXHmLbxwRszCJcAHFeNv2udF8KXmhX8Wi+MJ9BmvYtO1GG4+H+v29wj3M0UNtNDJJaLG22VwrQHDyCXMbGSNYJytr4xfFDRPAXxQ+H9rqvgTxN4l1S+llg0HUdN+zNZQXcuI5FImuY1S4EO8iRk3CJrhY3w8yErSEHUTcWtPNL82ZTqxpuzv8k3+SPZq8t+Kn7SHg34V2+sRS3sfiPxBpMK3N74Y0S/s21SCAgHzngmni2oAynJIzvUDJYA+pVheNPBGifEPQX0XxDZf2jpTzwXD2xleNXeGVZY92xgWUOikqflbGCCCRWfVX/r+v6tuamb8K/iIPin4OtvEcegar4dt7l3WG11hrVpnVTjzB9nmmTaTkDLZ4PAGM9fXM+APhv4d+F+j3GleGdO/s2xuLqW9ljM8kxaaQjc26RmbHAAXOFVVVQAAB01HRX3/XqHf+v6/rc8q/5Hb9o7/nrpXgTRf+u0D6rqDf98w3NraW3u5h1n+BH/e+q15V+zt/xMPDni/Xbj95qur+M9f+23HTzfsmozabbfKPlXZaWFpF8oG7ytzZdmZvVaACqmratY6BpV7qep3tvp2m2UL3N1eXcqxQwRIpZ5HdiAqqoJLEgAAk1bryr9p3/SfhFPpUnzWGva1onh7UYenn2F/q1pZXkOeq+Zb3EyblIZd+5SrAEAFr9njSb61+F9jrWs2VxYeIfFM03iXU7W+iZLu1lvHMyWc5YB3a0haGzDMFOy0jAWMKEX0uiigAryr48f8AFT/8Id8P4/3n/CVa1F/aKL+826Vaf6ZeedD/AMtLafyYbCTcQg/tJA27cI5PVa8q03/ib/tT+Iftf73/AIR/wZpn9mfw/Z/7Qvr/AO29MbvM/sqw+9nb5Hy7d77gA8R/8nT/AA8/7EzxL/6XaFXqteVeI/8Ak6f4ef8AYmeJf/S7Qq9VoAK8q+H3/FZfGX4geLW/e2Gk+R4R0lj+9iPkj7Rf3FvJ0XzLi4S0mRP+WmkKHYsgSL1WvKv2Vf8ASf2cfh1qsnzX+vaLb+IdRm6eff36/bbybHRfMuLiZ9qgKu/aoVQAAD1WiiigDlPir46/4Vp8OPEfidLH+1bvTbKSWz0tZfKfUbrG23s4ztY+bPMY4UAVmZ5FCqxIBPhV4F/4Vp8OPDnhh77+1bvTbKOK81RovKfUbrG64vJBuY+bPMZJnJZmZ5GLMxJJ5X44/wDEw8R/CHQrj95pWr+M4/ttv0837Jp1/qVt8w+Zdl3YWkvykbvK2tlGZW9VoAKKKKAPKviD/wAVl8Zfh/4SX97YaT5/i7VlH72I+SPs9hb3EfRfMuLh7uF3/wCWmkMUUsheKp8Q/wBpG1+H3xN0rwO3gfxRrupamiPa3WmNpy28m5lU/wCvu4n+UsMnZjrgnacW/hX/AMTX4u/GnVbr97f2etaf4egm6bLCHSbS9ihwODtuNTvn3Ebj520kqiBdPx18APAXxK1uTWPEmg/2nqMkNtbtO15cR/uoJXljjASQALulfcoGHDYfcABQvii+l9fQH8Ekt7aeoz4k/s++Bfi5qsWpeKdLu7++htVtIZoNWvLQwRrcRXIMfkyoI386CFjIuHPlqCxAAor0WitadWpSVqcml5OxMoxlrJXCql7HfPc2DWlxbwW6TFrxJrdpGmi8twEjYOojbzDG24hxtV12gsHS3RWRQVU1bVrHQNKvdT1O9t9O02yhe5ury7lWKGCJFLPI7sQFVVBJYkAAEmrdeVftY/8AJrHxk/7EzWf/AEhmoAtfsyaTfaB+zb8KNM1OyuNO1Ky8JaTbXVndxNFNBKlnErxujAFWVgQVIBBBBr0Cyjvkub9ru4t57d5g1mkNu0bQxeWgKSMXYSN5gkbcAg2si7SVLvbooAK8q+Ln+l/FH4H2kH767g8TXmpSwR/M8dqmialA9wyjkRLNdWsZc/KHuIlJzIoPqteVeI/+Tp/h5/2JniX/ANLtCoA9K1aO+m0q9j0y4t7PUnhdbW4u7dp4YpSp2O8auhdQ2CVDoSAQGXORboooAK8q+Cv+k+NPjVqEX72wvPGa/ZrpOYp/J0bS7WbYw4by7i3nhbB+WSGRDhkYD1WvKv2af+Sdav8A9jn4s/8AUh1GgDz/AMa6L8U5f2p/CP2Dxl4PtvM8M+JJNP8AtPhK6m+z2v27RsxTY1NPOlOYcSr5ajZJ+7O8eX9K15V4j/5On+Hn/YmeJf8A0u0KvVaAPKv2rv3v7MvxVtE+e71DwzqGm2cC8vc3VxbvBb28a9XllmkjjRBlnd1VQSQK9Vryr9pb/knWkf8AY5+E/wD1IdOr1WgCppkd9FbOuoXFvdXBmmZXtrdoVERkYxIVZ3JZYyis2QGZWYKgYItuiigDyrWv9M/an8G/Z/3/APZ3gzXPtvl/N9l+032k/ZvNx9zzfsl3s3Y3/ZptufLbHpWpx30tsi6fcW9rcCaFme5t2mUxCRTKgVXQhmjDqrZIVmVirhSjea+HP+Tp/iH/ANiZ4a/9Ltdr1WgAooooA8q/Zm/e/C64u0+e01DxN4k1KznXlLm1uNbvp7e4jbo8UsMkciOMq6OrKSCDXpUcd8NVuJJLi3bTWhiWC3W3YTJKGk8x2k3kMrKYgqhFKlHJZ94Cea/snf8AJrHwb/7EzRv/AEhhr1WgAooooAKKKKACvKv2oP8AS/grq+iPxaeJ73TfCl46/fjtdT1C30+4eM9BKsN1IyEhlDhSysAVPqteVftLf8k60j/sc/Cf/qQ6dQB6rRRRQAV5Vbf8T39qfUftHyf8Ir4MtvsXl8eZ/at9P9p83Oc7f7EtNm3bjzJt27cuz1WvKvDn/J0/xD/7Ezw1/wCl2u0Aeq0UUUAFeVfssf6X+z74J1t+LvxPZHxXeIv3I7rU5H1C4SMdREs11IqAlmCBQzMQWPqteVfsnf8AJrHwb/7EzRv/AEhhoAPEf/J0/wAPP+xM8S/+l2hV6rXlXiP/AJOn+Hn/AGJniX/0u0KvVaAPKvjv/wATXUfhb4Yl+Ww17xnafaZE4lT7Bb3Orw7CeBuuNMgRsg5jeQDaxV19Vryr4yf8lF+BP/Y53P8A6j2s16rQAUUUUAeVfDP/AInfxq+Metz/ACXen3ul+FIkj4RrW30+LUEdgcnzTNrN0pIIXYkQCghmf1WvKvg3/wAlF+O3/Y523/qPaNXqtABXFfG/xrffDX4L+PvF+mRW8+paB4f1DVbWK7VmheWC2klRXCspKlkAIBBxnBHWu1ryr9rH/k1j4yf9iZrP/pDNQB2vw98FWPw18AeGvCGmS3E+m6BpltpVrLdsrTPFBEsSM5VVBYqgJIAGc4A6V0FFFABRRRQAVUvdJsdRubC4u7K3uriwmNzZyzRK7W0pjeIyRkjKMY5ZE3DB2yOOjEG3RQAV5V+0t/yTrSP+xz8J/wDqQ6dXqteVfHH/AImHiP4Q6FcfvNK1fxnH9tt+nm/ZNOv9StvmHzLsu7C0l+Ujd5W1sozKwB6rVSy0mx065v7i0sre1uL+YXN5LDEqNcyiNIhJIQMuwjijTccnbGg6KALdFABXlXhz/k6f4h/9iZ4a/wDS7Xa9Vryr4V/8TX4u/GnVbr97f2etaf4egm6bLCHSbS9ihwODtuNTvn3Ebj520kqiBQD0rVtJsdf0q90zU7K31HTb2F7a6s7uJZYZ4nUq8bowIZWUkFSCCCQat0UUAFeVfsnf8msfBv8A7EzRv/SGGtX9oXxTqngb4BfEvxJol19i1rR/DOp6hY3PlrJ5M8VrJJG+1wVbDKDhgQccgiuq8J+FtL8DeFdG8N6Ja/YtF0eyh0+xtvMaTyYIkEcabnJZsKoGWJJxySaAPAPGv7PXws1n9qfwj9v+Gng++/tbwz4k1LUPtOg2sn2y6F9o2LibMZ8yUefNh2y372Tn5jn6VryrxH/ydP8ADz/sTPEv/pdoVeq0AeVfGT/kovwJ/wCxzuf/AFHtZr1WvKvGf/E1/aO+F+lXX72ws9F17xDBD02X8LafZRTZHJ22+p3ybSdp87cQWRCvqtAFTTNJsdFtnt9Psrewt3mmuWitoljVpZZGllkIUAFnkd3ZurMzE5JJq3RRQB5V8G/+Si/Hb/sc7b/1HtGr0rU9Jsdatkt9Qsre/t0mhuViuYlkVZYpFlikAYEBkkRHVuqsqkYIBrzX9nb/AImHhzxfrtx+81XV/Gev/bbjp5v2TUZtNtvlHyrstLC0i+UDd5W5suzM3qtABXlX7WP/ACax8ZP+xM1n/wBIZq9Vryr9p3/SfhFPpUnzWGva1onh7UYenn2F/q1pZXkOeq+Zb3EyblIZd+5SrAEAHqtVI9JsYdVuNTjsrdNSuYYrae8WJRNLFG0jRxs+MsqNNKVUnAMjkY3HNuigAooooAKKKqXt7Na3NhFFYXF4lzMYpZoWjC2qiN38yTe6kqWRY8IHbdIh2hQzKAW68q+Mn/JRfgT/ANjnc/8AqPazXqteVfGT/kovwJ/7HO5/9R7WaAPVaKKqWV7NdXN/FLYXFmltMIoppmjK3SmNH8yPY7EKGdo8OEbdG52lSrMAW68q+Df/ACUX47f9jnbf+o9o1eq15V8G/wDkovx2/wCxztv/AFHtGoA9Voqpq17Np2lXt3b2FxqlxBC8sdjaNGs1yyqSI0MjogZiMAu6rkjLAZIt0AeVftY/8msfGT/sTNZ/9IZq9Vryr9rH/k1j4yf9iZrP/pDNXHa18TvEM/xo+GWoaVqfiqz8C+JrufTZrDVfDkVlZpKlrcyKkiXMceoRzO8QZXx5O1MYJbNNK7SDo2dj4j/5On+Hn/YmeJf/AEu0KvVa+avGvxL8R2P7U/hHyfhP4w1D7H4Z8SWsH2a70YfbozfaNm5h8zUFxEPLTIl8uT99HhDh9n0rSA8q8R/8nT/Dz/sTPEv/AKXaFXqteVeI/wDk6f4ef9iZ4l/9LtCr1WgAoqppl7Nf2zyz2FxpzrNNEIbloyzKkjIsg8t2G2RVEigkMFdQyo25RboA8q/Zp/5J1q//AGOfiz/1IdRr1WvKv2af+Sdav/2Ofiz/ANSHUa9K1O9msLZJYLC41F2mhiMNs0YZVeRUaQ+Y6jbGrGRgCWKowVXbapALdeVftLf8k60j/sc/Cf8A6kOnV6rXlX7S3/JOtI/7HPwn/wCpDp1AHqtFFVI72Z9VuLRrC4jt4oYpUvmaPyZmZpA0agOXDIEUsWQLiVNrMQ4QAt0UUUAFFFFABWTrPhbS/EGo6Ff39r9ou9DvW1DT5PMZfIna3mti+AQG/c3My4bI+fOMgEa1FABRRRQAVk6N4W0vw/qOvX9ha/Z7vXL1dQ1CTzGbz51t4bYPgkhf3NtCuFwPkzjJJOtRQAUUUUAZPizwtpfjnwrrPhvW7X7bousWU2n31t5jR+dBKhjkTchDLlWIypBGeCDVOL4deE4PGc3jCLwxo0fi2aH7PLryafEL+SPAGxp9u8rhVGCcYUeldFRQB5V4j/5On+Hn/YmeJf8A0u0KvVa+avGvwU0PUv2p/CNm11qEPhvV/DPiS/1LwzFIg068kN9oxnV0KFxFcO6STwo6xzNES6kXF0Lj6VoAybnwtpd34q07xJLa79a0+yudPtrnzGHlwXDwSTJtB2nc1rAckEjZwQC2daiigAooooAyfDXhbS/B+nTWGkWv2S0mvbvUHj8xnzPc3ElzO+WJPzTTSNjoN2AAAANaiigArJ8TeFtL8YadDYava/a7SG9tNQSPzGTE9tcR3MD5Ug/LNDG2Oh24IIJB1qKACiiigAooooA//9k= Incorrect

]]> 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 Incorrect The function graphed is of the form y = a tan bx or y = a cot bx, where b > 0. Determine the equation of the graph.

]]> 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 1.0000000 0.3333333 0 true true abc y = cot 2x Correct y = tan 2x Incorrect y = 2 cot x Incorrect y = 2 tan x Incorrect Pre-Calc/Trig Unit 2: Circular Functions/4.4 Graphs of Sec//Csc Determine the equation of the graph. Determine the equation of the graph.

]]> 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 1.0000000 0.3333333 0 true true abc y = -csc 4x Correct y = -sec 4x Incorrect y = 4 csc x Incorrect y = -4 sec x Incorrect Graph csc function Select the appropriate graph for this function.

y = #a csc #b x

]]> 1.0000000 0.3333333 0 true true ABCD #g1

]]> #g2

]]> #g3

]]> #g4

]]> <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>s1</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s2</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s3</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s4</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</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>1</mn><mo>,</mo><mn>2</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>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><pi/><mn>2</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><pi/><mo>,</mo><mn>2</mn><pi/><mo>,</mo><mn>3</mn><pi/><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>csc</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><mi>csc</mi><mo>(</mo><mfrac><mi>x</mi><mi>b</mi></mfrac><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mo>(</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>*</mo><mi>a</mi><mo>)</mo><mo>*</mo><mi>csc</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>cosec</mi><mo>(</mo><mfrac><mi>x</mi><mi>b</mi></mfrac><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mi>plot</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>f1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mi>plot</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>plot</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>plot</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>f4</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><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">null</data></localData></question> Graph sec function Select the appropriate graph for this function.

y = #a sec #b x

]]> 1.0000000 0.3333333 0 true true ABCD #g1

]]> #g2

]]> #g3

]]> #g4

]]> <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>s1</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s2</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s3</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>s4</mi><mo>=</mo><mi>plotter</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</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>1</mn><mo>,</mo><mn>2</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>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>{</mo><mfrac><pi/><mn>4</mn></mfrac><mo>,</mo><mfrac><pi/><mn>3</mn></mfrac><mo>,</mo><mfrac><pi/><mn>2</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>4</mn></mfrac><mo>,</mo><mfrac><mrow><mn>3</mn><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><pi/><mo>,</mo><mn>2</mn><pi/><mo>,</mo><mn>3</mn><pi/><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>sec</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><mi>sec</mi><mo>(</mo><mfrac><mi>x</mi><mi>b</mi></mfrac><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mo>(</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>*</mo><mi>a</mi><mo>)</mo><mo>*</mo><mi>sec</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>sec</mi><mo>(</mo><mfrac><mi>x</mi><mi>b</mi></mfrac><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mi>plot</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>f1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mi>plot</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>plot</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>plot</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>f4</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><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">null</data></localData></question> Rotating beacon Solve the problem.
A rotating beacon is located 10 ft from a wall. The distance from the beacon to the point on the wall where the beacon is aimed is given by «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»d«/mi»«mo»=«/mo»«mn»10«/mn»«mfenced open=¨|¨ close=¨|¨»«mrow»«mi»s«/mi»«mi»e«/mi»«mi»c«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mi»§#960;t«/mi»«/mrow»«/mfenced»«mo»,«/mo»«/math» where t is time measured in seconds since the beacon started rotating. Find d for t = #a seconds. Round your answer to the nearest hundredth.

]]> 1.0000000 0.3333333 0 0 #answer]]> <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><mi>random</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>3</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>10</mn><mo>*</mo><mfenced close="|" open="|"><mrow><mi>sec</mi><mo>(</mo><mn>2</mn><mo>*</mo><pi/><mo>*</mo><mi>a</mi><mo>)</mo></mrow></mfenced></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><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">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Pre-Calc/Trig Unit 2: Circular Functions/4.5 Harmonic Motion Find frequency and period Solve the problem.
The position of a weight attached to a spring is «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»s«/mi»«mo»(«/mo»«mi»t«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»t«/mi»«/math» inches after t seconds. What are the frequency and period of the system?

]]> 1.0000000 0.3333333 0 0 frequency=#fperiod=#p]]> <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><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mn>2</mn><mo>*</mo><pi/></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mfrac><mrow><mn>2</mn><mo>*</mo><pi/></mrow><mi>b</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>q</mi><mi>u</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>c</mi><mi>y</mi><mo>=</mo><mo>#</mo><mi>f</mi><mspace linebreak="newline"/><mi>p</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi mathvariant="normal">d</mi><mo>=</mo><mo>#</mo><mi>p</mi></math>]]></correctAnswer><correctAnswer id="1"></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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50/50</data><data name="inputField">popupEditor</data><data name="casSession">null</data></localData></question> Maximum distance from equilibrium Solve the problem.

The position of a weight attached to a spring is «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»s«/mi»«mo»(«/mo»«mi»t«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»§#960;«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»t«/mi»«mo»)«/mo»«/math» inches after t seconds. What is the maximum height that the weight rises above the equilibrium position?

Suppose the maximum displacement at the center of the string is

Find an equation of the form

to model this displacement. Round constants to 2 decimal places.

]]> Correct

]]> s(t) = 1.10 cos 464.96t

]]> Incorrect

]]> s(t) = 0.55 cos 11.78t

]]> Incorrect

]]> s(t) = 1.10 cos 11.78t

]]> Incorrect

]]> Answer not given

]]> Solve the problem.A weight attached to a spring is pulled down 5 inches ... Solve the problem.

A weight attached to a spring is pulled down 5 inches below the equilibrium position. Assuming that the period of the system is

second, determine a trigonometric model that gives the position of the weight at time t seconds.]]> 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 1.0000000 0.3333333 0 true true abc s(t) = -5cos 6πt Correct s(t) = 5cos 6πt Incorrect s(t) = -5cos 3πt Incorrect t]]> 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 Incorrect Solve the problem.The formula for the up and down motion of a weight on a ... Solve the problem.

The formula for the up and down motion of a weight on a spring is given by

If the spring constant is 5, then what mass m must be used in order to produce a period of 4 seconds?]]> 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 1.0000000 0.3333333 0 true true abc ]]> 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 Correct ]]> 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 Incorrect ]]> 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 Incorrect ]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAApABYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9T5547WCSaaRYoY1LvI5wqqBkkk9ABXm3wg+J+rfETxJ8QbTUdNt9NtND1WC105YizSyW0tlb3CyTEnG9vOJ2gDaCFOSCT3XiXw9ZeLdA1DRdRFwbC/ha3nFrdS20pRhghZYmV0OO6sD715F8Av2dtW+C/jLxtrd94xfxJb+JJYpltZTqbvbGONY1zJeajdeYdiLliobtuCBEW4OK5lJdNPW6/S67b+Q9FHTc9woooqBHlX/DJ3wQ/wCiN/D/AP8ACXsf/jVcL8U/2ffAHg/SpdQ8Lfs2/DDxPDZ20t3eC/sbLTm2Ipby4MWc3mSkA4D+UnTL8nHVfEvTvEuo/E3T9P0v4meJvDkNzptxftpOgWOlSBIbfYrPm6tJ3aR5J4gMMFwpAXOWrzrwNr3xA+NHwZ8GXPh3V9B+J2jXtt5viZ9f15dJvGumUM+mypZabIiRx7tsiFUd8BW+UsHLNq60/Hq1f007rtdMuNk/e2/p/f8A8Ptqe8fCXw14O8PeCLCbwN4W03wjoerxx6qLDTNNisFLSxId8kUageZsCKSeflAzwKK6XRZdRn0m0k1e1tbHU2iU3NtZXLXMMUmPmVJWjjZ1B6MUUn0FFVK3M7GUb8qu7su0UUVJQUUUUAf/2Q== Incorrect