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.

]]> 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>5</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>37</mn><mo>*</mo><mi>sin</mi><mo>(</mo><mo>(</mo><mfrac><mrow><mn>2</mn><mo>*</mo><pi/></mrow><mn>365</mn></mfrac><mo>)</mo><mo>(</mo><mi>a</mi><mo>-</mo><mn>101</mn><mo>)</mo><mo>)</mo><mo>+</mo><mn>25</mn></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^(-0)</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 amplitude from equation Find the specified quantity.
Find the amplitude of:
 
«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:
 
«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><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.

]]> 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><mn>8</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>2</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><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>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</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>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></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> Graph the function over a one-period interval.y = 3cos  Graph the function over a one-period interval.

y = 3cos 
]]> 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Correct ]]> 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 Incorrect ]]> 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 Incorrect ]]> 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 Incorrect Graph the function over a one-period interval.y = 4 + 2 sin(x - π) Graph the function over a one-period interval.

y = 4 + 2 sin(x - π)
]]> 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Correct ]]> 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 Incorrect ]]> 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Incorrect ]]> 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 Incorrect Matching phase shifts with equations Find and match the phase shift of the function.
]]> 1.0000000 0.3333333 0 true «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mo»-«/mo»«mn»3«/mn»«mo»§#160;«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«mo»)«/mo»«/math»

]]> 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.
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 1.0000000 0.3333333 0 true true abc 5.099259265; 0.5315780435; -1.738394218; 6.659926499 Correct 5.277184939; 0.06297637; -2.04256248; 6.904195597 Incorrect 5.099259265; 0.5315780435; -1.738394218; 8.659926499 Incorrect 4.708150061; 1.025102863; -2.474285177; 7.076487153 Incorrect The function graphed is of the form    or where d is the least possible ... The function graphed is of the form    or 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