AP Calculus BC Released Exam 2008 Multiple-Choice Questions (College Board)

2008 AP Multiple Choice Exam

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2008 AP Calculus BC Multiple Choice Exam Section 1

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AP Calculus 2008 BC Multiple Choice

1. At time t ≥ 0, a particle moving in the xy -plane has velocity vector given by v ( t ) = t 2 ,5t . What

is the acceleration vector of the particle at time t = 3? (A) 9,

2.

∫ xe

45 2

x2

(A)

(B) 6,5

(C) 2, 0

(B) e x + C

(C) xe x + C

(D)

306

(E)

61

dx = 1 x2 e +C 2

2

2

(D)

1 2x e +C 2

(E) e 2x + C

sin x cos x is x →0 x

3. lim

(A) −1

(B) 0

(C) 1

(D)

π 4

(E) nonexistent

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AP Calculus 2008 BC Multiple Choice

∞

en 4. Consider the series ∑ . If the ratio test is applied to the series, which of the following n =1 n ! inequalities results, implying that the series converges? (A) lim n→∞

e