Barrons AP Calculus - David Bock

(A) sec θ + θ + 2 ln|cosθ| + C

(B) tan θ + 2 ln|cos θ| + C

(C) tan θ − 2 sec^2 θ + C

(D) sec θ + θ − tan^2 θ + C

(E) tan θ − 2 ln|cosθ| + C

CHALLENGE

75.

(A) sec θ − tan θ + C

(B) ln (1 + sin θ) + C

(C) ln |sec θ + tan θ| + C

(D) θ + ln|csc θ − cot θ| + C

(E) none of these

CHALLENGE

76. A particle starting at rest at t = 0 moves along a line so that its acceleration at time t is 12t
    ft/sec^2. How much distance does the particle cover during the first 3 sec?
    (A) 16 ft
    (B) 32 ft
    (C) 48 ft
    (D) 54 ft
    (E) 108 ft


77. The equation of the curve whose slope at point (x, y) is x^2 − 2 and which contains the point (1,
    −3) is
    (A)
    (B) y = 2x − 1
    (C)
    (D)
    (E) 3 y = x^3 − 10


78. A particle moves along a line with acceleration 2 + 6t at time t. When t = 0, its velocity equals