Cracking The Ap Calculus ab Exam 2018

(D)I,   II, and III

16.For what value of x does the function f(x) = x^3 − 9x^2 − 120x + 6 have a local minimum?

(A) 10

(B) 4

(C)−4

(D)−10

17.The acceleration of a particle moving along the x-axis at time t is given by a(t) = 4t − 12. If the
velocity is 10 when t = 0 and the position is 4 when t = 0, then the particle is changing direction at

(A)t    =   1

(B)t    =   3

(C)t    =   5

(D)t    =   1   and t   =   5

18.What is the area of the region between y = 2x^2 and y = 12 − x^2 ?

(A)         0

(B) 16

(C) 32

(D) 48

19.∫(e3 ln x + e^3 x) dx =

(A)3 + + C

(B)     +   3e^3 x  +   C

(C) + + C

(D) + + C