Barrons AP Calculus - David Bock

(B)

(C)

(D)

(E)

39. The set of all x for which the power series converges is

(A) {−3,3}

(B) |x| < 3

(C) |x| > 3

(D) − 3 x < 3

(E) − 3 < x 3

40. A particle moves along a line with acceleration a = 6t. If, when t = 0, v = 1, then the total
    distance traveled between t = 0 and t = 3 equals
    (A) 30
    (B) 28
    (C) 27
    (D) 26
    (E) none of these


41. The definite integral represents the length of an arc. If one end of the arc is at the

point (1,2), then an equation describing the curve is

(A) y = 3 ln x + 2

(B) y = x + 3 ln x + 1

(C)

(D)

(E)

42. Suppose f (3) = 2, f ′(3) = 5, and f ′′(3) = −2. Then at x = 3 is equal to

(A) −20

(B) 10

(C) 20