Ab Math Review Worksheet Page 2
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1
2
3
4
5( ) (
)(
)
2
=
−
−
4. For what value of x does the function
f x
x
2
x
3
have a relative maximum?
7
5
7
5
−
−
−
(A) 3
(B)
(C)
(D)
(E)
3
2
3
2
π
π
⎛ ⎞
x
3
( )
=
< <
5. If
f x
sin
, then there exists a number c in the interval
x
that satisfies the conclusion of
⎜ ⎟
⎝ ⎠
2
2
2
the Mean Value Theorem. Which of the following could be c ?
π
π
π
π
2
3
5
3
(D) π
(A)
(B)
(C)
(E)
3
4
6
2
( ) (
)
2
( )
f ′
=
−
=
6. If
, then
0
f x
x
1 sin
x
−
(B) 1 −
(A)
2
(C) 0
(D) 1
(E) 2
( )
=
− . If the velocity is
7. The acceleration of a particle moving along the x-axis at time t is given by
a t
6
t
2
( )
t =
t = , then the position
x t =
25 when
3
and the position is 10 when
1
2
2
3
2
3
2
3
2
t +
−
+
−
+
+
−
+
−
−
−
+
(A)
9
1
(B)
3
t
2
t
4
(C)
t
t
4
t
6
(D)
t
t
9
t
20
(E)
36
t
4
t
77
t
55
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