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AP Review Questions Chapters 1 – 4

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Complete the analogy. Clark Kent : Superman :: Bruce Wayne : 10 1.Hulk 2.Batman 3.Spiderman 4.Wolverine 1234

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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 x 2 + xy = 10, then when x = 2, / /7 4.3/2 5.7/2 1234

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If 1.ln 2 2.ln 8 3.ln nonexistent

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What is the instantaneous rate of change at x = 2 of the function f given by /6 3.½ Answer Now 1234

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

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If f(x)=sin(e -x ), then f(x) = cos(e -x ) 2.cos(e -x ) + e -x 3.cos(e -x ) - e -x 4.e -x cos(e -x ) 5.-e -x cos(e -x ) 1234

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An equation of the line tangent to the graph of y = x + cos x at the point (0,1) is 1.y = 2x y = x y = x 4.y = x – 1 5.y = 0 :

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If f(x) = x(x+1)(x-2) 2, then the graph of f has inflection points when x = 1.-1 only 2.2 only 3.-1 and 0 only 4.-1 and 2 only 5.-1, 0 and 2 only 10 Seconds Remaining 1234

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If = ky and k is a nonzero constant, y could be 1.2e kty 2.2e kt 3.e kt kty ky2 +.5 Answer Now 1234

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The function f is given by f(x)=x 4 +x On which of the following intervals is f increasing? 1.(-.707, ) 2.(-.707,.707) 3.(0, ) 4.(-,0) 5.(-,-.707)

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If f(x) = tan(2x), then

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