Solucionario Calculo
Páginas: 2 (447 palabras)
Publicado: 8 de julio de 2012
Review Exercises for Chapter 3
v02
sin 2
32
43. r
v0
45. Let f x
x, x
fx
fx
f x dx
1
dx
2x
changes from 10 to 11
2200
16
dr
10
d
r
2
fx
cos 2 d
x99.4
1
2 100
100
180
11
0.6.
x
2200 ft sec
x
100, dx
10
99.4
Using a calculator:
0.6
9.97
9.96995
180
dr
2200
16
2
20
180
cos
4961 feet180
4961 feet
47. Let f x
4
fx
x
fx
x, x
625, dx
fx
4
x
4
625
1
500
5
4
Using a calculator,
51. In general, when
4
f x dx
624
49. Let f x1.
4
3
f 4.02
1
f4
4.02
4
1
0.02
24
4.9980.
x → 0, dy approaches y.
53. True
55. True
Review Exercises for Chapter 3
1. A number c in the domain of f is acritical number if f c
is undefined at c.
0 or f
y
4
f ′(c) is
3
undefined.
f ′ ( c) = 0
x
−4 −3
−1
−2
−3
−4
3. g x
gx
2x
2
5 cos x, 0, 2
18
(6.28, 17.57)5 sin x
0 when sin x
Critical numbers: x
2
5.
0.41, x
(2.73, 0.88)
2.73
Left endpoint: 0, 5
Critical number: 0.41, 5.41
Critical number: 2.73, 0.88 Minimum
Right endpoint: 2 ,17.57 Maximum
1 2 x.
f 4 dx
4.998
624
4
1
625
0.02, f x
4, dx
Then
1
dx
44 x3
x
x, x
−
4
2
−1
1
2
4
2
1
0.02 .
4
163
164Chapter 3
Applications of Differentiation
5. Yes. f 3
f2
0. f is continuous on
differentiable on
3, 2 .
fx
c
x
1
3
3 3x
0 for x
1
satisfies f c
3, 2 ,
7. f x
3
x4
y
(a)
1
3.
6
4
0.
2
x
−2
2
4
6
10
−4
−6
f1
f7
0
(b) f is not differentiable at x
fx
2
x
3
fa
a
4
8
fc
fb
b
x2 3, 1 ≤ x≤ 8
fx
9.
2
c
3
1
1
13
fb
b
3
7
3
7
fx
Ax2
2Ax
A x22
13.
3
x12
x2
B x2
x1
x2
2Ac
B
A x1
A x1
sin c
1
1
0
x1
x2
x1...
v02
sin 2
32
43. r
v0
45. Let f x
x, x
fx
fx
f x dx
1
dx
2x
changes from 10 to 11
2200
16
dr
10
d
r
2
fx
cos 2 d
x99.4
1
2 100
100
180
11
0.6.
x
2200 ft sec
x
100, dx
10
99.4
Using a calculator:
0.6
9.97
9.96995
180
dr
2200
16
2
20
180
cos
4961 feet180
4961 feet
47. Let f x
4
fx
x
fx
x, x
625, dx
fx
4
x
4
625
1
500
5
4
Using a calculator,
51. In general, when
4
f x dx
624
49. Let f x1.
4
3
f 4.02
1
f4
4.02
4
1
0.02
24
4.9980.
x → 0, dy approaches y.
53. True
55. True
Review Exercises for Chapter 3
1. A number c in the domain of f is acritical number if f c
is undefined at c.
0 or f
y
4
f ′(c) is
3
undefined.
f ′ ( c) = 0
x
−4 −3
−1
−2
−3
−4
3. g x
gx
2x
2
5 cos x, 0, 2
18
(6.28, 17.57)5 sin x
0 when sin x
Critical numbers: x
2
5.
0.41, x
(2.73, 0.88)
2.73
Left endpoint: 0, 5
Critical number: 0.41, 5.41
Critical number: 2.73, 0.88 Minimum
Right endpoint: 2 ,17.57 Maximum
1 2 x.
f 4 dx
4.998
624
4
1
625
0.02, f x
4, dx
Then
1
dx
44 x3
x
x, x
−
4
2
−1
1
2
4
2
1
0.02 .
4
163
164Chapter 3
Applications of Differentiation
5. Yes. f 3
f2
0. f is continuous on
differentiable on
3, 2 .
fx
c
x
1
3
3 3x
0 for x
1
satisfies f c
3, 2 ,
7. f x
3
x4
y
(a)
1
3.
6
4
0.
2
x
−2
2
4
6
10
−4
−6
f1
f7
0
(b) f is not differentiable at x
fx
2
x
3
fa
a
4
8
fc
fb
b
x2 3, 1 ≤ x≤ 8
fx
9.
2
c
3
1
1
13
fb
b
3
7
3
7
fx
Ax2
2Ax
A x22
13.
3
x12
x2
B x2
x1
x2
2Ac
B
A x1
A x1
sin c
1
1
0
x1
x2
x1...
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