Barrons AP Calculus

(Marvins-Underground-K-12) #1
31.

(A)
(B)
(C)
(D)

32.

(A)
(B)
(C)
(D)
33.

Part B

TIME: 45 MINUTES

Some    questions   in  this    part    of  the examination require the use of  a   graphing    calculator. There   are
15 questions in Part B, for which 45 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.

An  object  moving  along   a   line    has velocity    v(t)    =   t   cos t   −   ln  (t  +   2),
where 0 ≤ t ≤ 10. The object achieves its maximum speed when t is
approximately
5.107
6.419
7.550
9.538

The graph   of  f   ′,  which   consists    of  a   quarter-circle  and two line    segments,
is shown above. At x = 2 which of the following statements is true?
f is not continuous.
f is continuous but not differentiable.
f has a local maximum.
The graph of f has a point of inflection.

Let  ,  where   f   is  the function    whose   graph   appears below.
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