11.6
11.7
11.8
11.9
11.10
11.11
11.12
11.13
11.14
2
2
1
2
2
2
2
x N e
x
x
x
α
α
α
⎛
⎝
⎜ ⎜
⎞
⎠
⎟ ⎟
⎛
⎝
⎜ ⎜
⎞
⎠
⎟ ⎟
−
−∞
+∞
∫
(
) ( )
/
( (
)
/
N e
x
x
1
2
2
2
−
α d
(
) ( ) (
)
/
/
N e
x N e
x
x
x
0
2
2
0
2
2
2
2
2
−
−∞
+∞
−
∫
α
α d
D O
2
H O
2
μ
λ λ
.
.
.
=
×
=
=
=
16 2
18
1 78
1 38 4
m
m
H
H
1 1μm
H O
/
H O
D O
H O
2
16 1
17
0 94
2
2
2
μ
ω
ω
μ
.
=
×
=
=
m
m
k
H
H
k k/ D O
μ
2
1 78
0 94
1 38
.
.
.
=
P
e
y
e
y
y
y
/
/
=
=
∞
−
−
∞
∫
∫
1
1
1 2
1
1 2
1
2
2
απ
α
π
d
d
ν
ν
2
2
1
2
m
m
k m
k m
=
=
/
/
A = =
−
ν
c
1087
1
cm
ν
π μ
π .
.
=
=
×
=
−
−
1
2
1
2
500
1 19 10
3 26
1
26
k
N m
kg
×
−
10
13
1
s
μ
.
=
+
=
×
+
=
×
m m
m m
m
C O
C
O
p
13 16
13 16
1 19 10 0
26
−
kg
A = =
−
ν
c
1111
1
cm
ν
π μ
π .
.
=
=
×
=
−
−
1
2
1
2
500
1 14 10
3 33
1
26
k
N m
kg
×
−
10
13
1
s
μ
.
=
+
=
×
+
=
×
m m
m
m
m
C O
C
O
p
12 16
12 16
1 14 10
26
−
kg
ν
π
.
.
=
×
=
×
−
−
−
1
2
600
1 67 10
9 5 10
1
27
13
N m
kg
s
1 1
μ
.
=
+
=
×
+
=
×
m m
m
m
m
C O
C
O
p
13 16
13 16
1 19 10
26
−
kg
ANSWERS TO PROBLEMS
463
9781405124362_5_end.qxd 4/29/08 9:17 Page 463
11.7
11.8
11.9
11.10
11.11
11.12
11.13
11.14
2
2
1
2
2
2
2
x N e
x
x
x
α
α
α
⎛
⎝
⎜ ⎜
⎞
⎠
⎟ ⎟
⎛
⎝
⎜ ⎜
⎞
⎠
⎟ ⎟
−
−∞
+∞
∫
(
) ( )
/
( (
)
/
N e
x
x
1
2
2
2
−
α d
(
) ( ) (
)
/
/
N e
x N e
x
x
x
0
2
2
0
2
2
2
2
2
−
−∞
+∞
−
∫
α
α d
D O
2
H O
2
μ
λ λ
.
.
.
=
×
=
=
=
16 2
18
1 78
1 38 4
m
m
H
H
1 1μm
H O
/
H O
D O
H O
2
16 1
17
0 94
2
2
2
μ
ω
ω
μ
.
=
×
=
=
m
m
k
H
H
k k/ D O
μ
2
1 78
0 94
1 38
.
.
.
=
P
e
y
e
y
y
y
/
/
=
=
∞
−
−
∞
∫
∫
1
1
1 2
1
1 2
1
2
2
απ
α
π
d
d
ν
ν
2
2
1
2
m
m
k m
k m
=
=
/
/
A = =
−
ν
c
1087
1
cm
ν
π μ
π .
.
=
=
×
=
−
−
1
2
1
2
500
1 19 10
3 26
1
26
k
N m
kg
×
−
10
13
1
s
μ
.
=
+
=
×
+
=
×
m m
m m
m
C O
C
O
p
13 16
13 16
1 19 10 0
26
−
kg
A = =
−
ν
c
1111
1
cm
ν
π μ
π .
.
=
=
×
=
−
−
1
2
1
2
500
1 14 10
3 33
1
26
k
N m
kg
×
−
10
13
1
s
μ
.
=
+
=
×
+
=
×
m m
m
m
m
C O
C
O
p
12 16
12 16
1 14 10
26
−
kg
ν
π
.
.
=
×
=
×
−
−
−
1
2
600
1 67 10
9 5 10
1
27
13
N m
kg
s
1 1
μ
.
=
+
=
×
+
=
×
m m
m
m
m
C O
C
O
p
13 16
13 16
1 19 10
26
−
kg
ANSWERS TO PROBLEMS
463
9781405124362_5_end.qxd 4/29/08 9:17 Page 463
