Calculus Worksheet

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AB Review 09 NO Calculator Permitted
 
2
1. A particle moves along the y-axis with velocity given by
v t
t
t
t  . If the particle is
3
6
for time
0
at position
y 
2
at time
t  , what is the position of the particle at
0
t  ?
1
(A) 4
(B) 6
(C) 9
(D) 11
(E) 12
 
 
2. If
f x
cos 3
x
, then
f
9
3
3 3
3
3
3 3
(A)
(B)
(C)
(D)
(E)
2
2
2
2
2
x
x
2
 
5
7
x
,
2
 
f x
 
, and if f is continuous at
x  , then k 
2
3. If
x
2
k
,
x
2
1
1
7
(A) 0
(B)
(C)
(D) 1
(E)
6
3
5

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