Barrons AP Calculus - David Bock

(dmanu) #1
(A) is 6.00.
(B) is 6.10.
(C) is 6.25.
(D) does not exist, because f is not continuous.
(E) does not exist, because f is not integrable.


  1. If f ′(x) = 2f (x) and f (2) = 1, then f (x) =


(A) e^2 x − 4
(B) e^2 x + 1 − e^4
(C) e4−2x
(D) e^2 x + 1
(E) ex − 2


  1. The table below shows values of f ′′(x) for various values of x:


x −1 0 1 2 3
f ′′(x) −4 −1 2 5 8
The function f could be
(A) a linear function
(B) a quadratic function
(C) a cubic function
(D) a fourth-degree function
(E) an exponential function


  1. The curve x^3 + x tan y = 27 passes through (3,0). Use the tangent line there to estimate the value
    of y at x = 3.1. The value is
    (A) −2.7

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