Some questions in this part of the examination require the use of a graphing calculator. There
are 17 questions in Part B, for which 50 minutes are allowed. Because there is no deduction for
wrong answers, you should answer every question, even if you need to guess.
Directions: Choose the best answer for each question. If the exact numerical value of the correct
answer is not listed as a choice, select the choice that is closest to the exact numerical answer.
- Then f ′(x) =
(A)
(B)
(C)
(D)
(E)
- A cylindrical tank, shown in the figure above, is partially full of water at time t = 0, when more
water begins flowing in at a constant rate. The tank becomes half full when t = 4, and is
completely full when t = 12. Let h represent the height of the water at time t. During which
interval is increasing?
(A) none
(B) 0 < t < 4
(C) 0 < t < 8
(D) 0 < t < 12
(E) 4 < t < 12
- A particle moves on a line according to the law s = f (t) so that its velocity v = ks, where k is a
nonzero constant. Its acceleration is
(A) k^2 v
(B) k^2 s
(C) k
(D) 0
