Ab Review 08 Integral Worksheet - Penn State University
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5AB Review 08 Calculator Permitted (unless stated otherwise)
e h
ln
1
1.
lim
is
h
h
0
ln x
f
(A)
f e
, where
f x
ln
x
(B)
f e
, where
f x
(C)
1
, where
f x
ln
x
x
f
f
(D)
1
, where
f x
ln
x e
(E)
0
, where
f x
ln
x
1
1
2. The position of an object attached to a spring is given by
y t
cos 5
t
sin 5
t
, where t is time in
6
4
seconds. In the first 4 seconds, how many times is the velocity of the object equal to 0?
(A) Zero
(B) Three
(C) Five
(D) Six
(E) Seven
3. Let f be the function given by
f x
x
x
. What is the least value of x at which the graph
cos 2
ln 3
of f changes concavity?
(A) 0.56
(B) 0.93
(C) 1.18
(D) 2.38
(E) 2.44
x
x
2
4. If 0
, of the following, which is the greatest value of x such that
x
4
t
2
t dt
tdt
?
0
2
(A) 1.35
(B) 1.38
(C) 1.41
(D) 1.48
(E) 1.59
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