463
Answers
701–800
Answers and Explanations
W
x
x
x
x
n
i
i
i
n
=
−
(
)
(
) ( )
(
)
= (
)
−
(
)
→∞ =
∑
lim
.
.
*
*
62 5 6
25
36
62 5 25
36
6
2
1
π
π
∆
x x dx
x x dx
x
x
2
0
6
2
3
0
6
3
4
62 5 25
36
6
62 5 25
36
2
4
( )
= (
)
−
(
)
= (
)
−
∫
∫
.
.
π
π
= (
)
( ) − ( )
=
⋅
≈
0
6
3
4
62 5 25
36
2 6
6
4
9 375
2
14 726
.
,
,
π
π ft lb
f
ft lb
⋅
736.
5
4
Using the average value formula with a = –1, b = 2, and f
(x) = x
3
gives you
f
xdx
x
avg = − −
( )
=
=
− −
(
)
=
−
−
∫
1
2
1
1
3 4
1
12
2
1
5
4
3
1
2
4
1
2
4
4
( )
737.
2
3π
Using the average value formula with a = 0, b = 3
2
π , and f (x) = sin x gives you
f
x dx
x
avg =
−
=
−
(
)
= −
−
(
)
= −
∫
1
3 2
0
2
3
2
3
3
2
0
2
0
3 2
0
3 2
π
π
π
π
π
π
sin
cos
cos
cos
3 3
0 1
2
3
π
π
(
)
−
=
Answers
701–800
Answers and Explanations
W
x
x
x
x
n
i
i
i
n
=
−
(
)
(
) ( )
(
)
= (
)
−
(
)
→∞ =
∑
lim
.
.
*
*
62 5 6
25
36
62 5 25
36
6
2
1
π
π
∆
x x dx
x x dx
x
x
2
0
6
2
3
0
6
3
4
62 5 25
36
6
62 5 25
36
2
4
( )
= (
)
−
(
)
= (
)
−
∫
∫
.
.
π
π
= (
)
( ) − ( )
=
⋅
≈
0
6
3
4
62 5 25
36
2 6
6
4
9 375
2
14 726
.
,
,
π
π ft lb
f
ft lb
⋅
736.
5
4
Using the average value formula with a = –1, b = 2, and f
(x) = x
3
gives you
f
xdx
x
avg = − −
( )
=
=
− −
(
)
=
−
−
∫
1
2
1
1
3 4
1
12
2
1
5
4
3
1
2
4
1
2
4
4
( )
737.
2
3π
Using the average value formula with a = 0, b = 3
2
π , and f (x) = sin x gives you
f
x dx
x
avg =
−
=
−
(
)
= −
−
(
)
= −
∫
1
3 2
0
2
3
2
3
3
2
0
2
0
3 2
0
3 2
π
π
π
π
π
π
sin
cos
cos
cos
3 3
0 1
2
3
π
π
(
)
−
=