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Calculus Early Transcendentals Study Set 1

Mathematics

Quiz 2 :

The Derivative

Quiz 2 :

The Derivative

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Find f (x) where img .
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Essay
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Answer:

img

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If img , img (Do not reduce any trig ratio identities.)
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Multiple Choice
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B

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Find an equation for the tangent line to the graph of y = x sin x at x = .
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Multiple Choice
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E

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Find f (x) where f(x) = x2(sin 8x)6.
Essay
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Answer true or false. If img , img .
True False
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y = cot (sin x). Find dy/dx.
Multiple Choice
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If img , then img
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Find the value of the constant A in y = A sin 3t so that d2y/dt2 + 7y = sin 3t.
Multiple Choice
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Answer true or false. If y = cos(x6), d2y/dx2 = -cos(x6).
True False
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Use a graphing utility to obtain the graph of img . Determine the slope of the tangent line to the graph at x = 0.
Multiple Choice
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f(x) = (x4 - 3)38. f (x) =
Multiple Choice
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Answer true or false. Given f (x) = 5x and img , then img if F(x) = f(g(x)).
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y = sin3( - 9). Find dy/d.
Multiple Choice
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Find dy/dx if y = cos(sin x).
Multiple Choice
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Answer true or false. If y = sin 6x - cos x3, d2y/dx2 = 18 cos x.
True False
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y = x4 sin(5x). Find dy/dx.
Multiple Choice
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Find f (x) where f(x) = cos(tan 4x).
Essay
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Find f (x) if f(x) = (x5 - 11)10.
Multiple Choice
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If img , img
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f(x) = sin(6x). f (x) =
Multiple Choice
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