Ab Math Review Worksheet Page 3
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1
2
3
4
5x
d
(
)
∫
π
8.
cos 2
u du
is
dx
0
1
1
(
)
(
)
(
)
π
π
π
π
sin
x
cos 2
x
(A) 0
(B)
(C)
(D)
cos 2 x
(E)
2 cos 2 x
π
π
2
2
≤ ≤ . Of the following, which has the least value?
9. The graph of the function f is shown above for 0
x
3
3
( )
∫
(A)
f x dx
1
3
( )
∫
(B) Left Riemann sum approximation of
f x dx
with 4 subintervals of equal length.
1
3
( )
∫
(C) Right Riemann sum approximation of
f x dx
with 4 subintervals of equal length.
1
3
( )
∫
(D) Midpoint Riemann sum approximation of
f x dx
with 4 subintervals of equal length.
1
3
( )
∫
(E) Trapezoidal sum approximation of
f x dx
with 4 subintervals of equal length.
1
( )
=
10. What is the minimum value of
?
f x
x
ln
x
1
( )
(B) 1 −
−
(A) e −
(C)
(D) 0
(E)
f x has no minimum value.
e
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