Ab Review 08 Integral Worksheet - Penn State University Page 3
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5x
1
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8. Let f be the function given by
f x
cos
dt
for
t . At which of the following values of x
1
2
3
t
1/3
does f attain a relative maximum?
(A) 0.357 and 0.798
(B) 0.4 and 0.564
(C) 0.4 only
(D) 0.461
(E) 0.999
9. Let f be the function defined by
f x
x
ln
x
. What is the value of c for which the instantaneous rate
of change of f at x c
is the same as the average rate of change of f over
1, 4 ?
(A) 0.456
(B) 1.244
(C) 2.164
(D) 2.342
(E) 2.452
3/2
2
10. The height, h , in meters, of an object at time t is given by
h t
24
t
24
t
16
t
. What is the height of
the object at the instant when it reaches its maximum upward velocity?
(A) 2.545 meters
(B) 10.263 meters
(C) 34.125 meters
(D) 54.889 meters
(E) 89.005 meters
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