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AP Review Questions Chapters 1 – 4

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**Complete the analogy. Clark Kent : Superman :: Bruce Wayne :**

10 Hulk Batman Spiderman Wolverine 1 2 3 4

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**A calculator may not be used on these questions.**

Unless otherwise stated, the domain of a function is assumed to be all real numbers x for which f(x) is a real number.

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If x2 + xy = 10, then when x = 2, -7/2 -2 2/7 3/2 7/2 10 1 2 3 4

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If ln 2 ln 8 ln 16 4 nonexistent 10 1 2 3 4

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**What is the instantaneous rate of change at x = 2 of the function f given by**

-2 1/6 2 6 Answer Now 1 2 3 4

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A particle moves along the x- axis so that its position at time t is given by x(t)=t2-6t+5. For what value of t is the velocity of the particle zero? 1 2 3 4 5 1 2 3 4

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**If f(x)=sin(e-x), then f’(x) =**

-cos(e-x) cos(e-x) + e-x cos(e-x) - e-x e-x cos(e-x) -e-xcos(e-x) 10 1 2 3 4

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**An equation of the line tangent to the graph of y = x + cos x at the point (0,1) is**

:15 1 2 3 4

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**If f”(x) = x(x+1)(x-2)2, then the graph of f has inflection points when x =**

10 Seconds Remaining -1 only 2 only -1 and 0 only -1 and 2 only -1, 0 and 2 only 1 2 3 4

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**If = ky and k is a nonzero constant, y could be**

Answer Now 2ekty 2ekt ekt + 3 kty + 5 .5ky2 + .5 1 2 3 4

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**The function f is given by f(x)=x4+x2-2**

The function f is given by f(x)=x4+x2-2. On which of the following intervals is f increasing? (-.707, ∞) (-.707, .707) (0, ∞) (-∞,0) (-∞,-.707) 15 1 2 3 4

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If f(x) = tan(2x), then 10 3 2 3 4 4 3 8 1 2 3 4

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