Bc Practice Examination 1 Worksheet Page 6
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10608
AP Calculus
Part B
TIME: 50 MINUTES
.
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 ques-
tion, even
4
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.
29. The path of a satellite is given by the parametric equations
x
=
4 cos t
+
cos 12t,
Y
=
4 sin t
+
sin 12t.
The upward velocity at t
=
1 equals
(A)
2.829
(C)
3.073
(E)
12.287
(B)
3.005
(D)
3.999
30. As a cup of hot chocolate cools, its temperature after t minutes is given by
H(t)
=
70
+
ke-O
At
.
If its initial temperature was 120°F, what was its average
temperature (in OF) during the first 10 minutes?
(A)
60.9
(C)
95.5
(D)
96.1
(E)
99.5
(B)
82.3
31. An object moving along a line has velocity v
(t)
=
t cos t - In (t
+
2), where 0 .:::;
t :::;
10.
The object achieves its maximum speed when t
=
(A) 3.743
(B)
5.107
(E) 9.538
(C) 6.419
(D) 7.550
----+---~--~--~~--~~x
32. The graph off
I,
which consists of a quarter-circle and two line segments, is shown
above.
At x
=
2 which of the following statements is true?
(A)
f
is not continuous.
(B)
f
is continuous but not differentiable.
(C) fhas a relative maximum.
(D) The graph of'j has a point of inflection.
(E) none of these
•
33. L
34.
r
35.
36.
37.
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