Bc Review 01 Functions Worksheet Page 2
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2
3
4
52
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
x
3
x
5. If
f x
sin
, then there exists a number c in the interval
that satisfies the conclusion of
2
2
2
the Mean Value Theorem. Which of the following could be c ?
2
3
5
3
(A)
(B)
(C)
(D)
(E)
3
4
6
2
2
f
6. If
f x
x
x
, then
1 sin
0
(A)
2
(B) 1
(C) 0
(D) 1
(E) 2
7. The acceleration of a particle moving along the x-axis at time t is given by
a t
6
t
. If the velocity is
2
t
3
t , then the position
1
x t
25 when
and the position is 10 when
2
2
3
2
3
2
3
2
t
t
t
t
t
t
t
t
t
t
t
t
9
1
3
2
4
4
6
9
20
36
4
77
55
(A)
(B)
(C)
(D)
(E)
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