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.
- Two objects in motion from t = 0 to t = 3 seconds have positions x 1 (t) = cos (t^2 + 1) and
respectively. How many times during the 3 seconds do the objects have the same
velocity?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
- The table below shows values of f ′′(x) for various values of x:
x −1 0 1 2 3
f ′′(x) −4 −1 2 5 8
The function f could be
(A) a linear function
(B) a quadratic function
(C) a cubic function
(D) a fourth-degree function
(E) an exponential function
- Where, in the first quadrant, does the rose r = sin 3θ have a vertical tangent?
(A) nowhere
(B) θ = 0.39
(C) θ = 0.47
(D) θ = 0.52
(E) θ = 0.60
- A cup of coffee placed on a table cools at a rate of per minute, where H
