Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
7 and 9
![we have
PROBLEMS 14.7
Section 14.7 The Fundamental Theorem of integral Caloukus
999
2.
(9)
he rate of
5x dx
43.
where f(r)-
3.
4.
uffices to
-5x dx
(2r - 3) dx
44. Evaluate
6.
xpx
5.
o² +
7.
+ 4y + 4) dy
45. Suppose f(x)D
-1 dr. Evaluate
3 dt.
8.
&p (66-)
(2t-3r2) dt
46. Evaluate
|
9.
10.
+ xp
xp
47. If
3/2
12.
f(x) dx 5 and
3.
x2
3/2
11.
%3D
Vx4 dx
8.
13.
14.
48. If
f) dx =5, and
*9 = xp (x)
fx) dx = 2, find
xp
1
1/2
16.
xp (+x+)
cost
xp
xp (x)f
15.
49. Evaluate
(z + 1)* dz
xp (- x^)|
181 18.
xp
(Hint: It is not necessary to find 2
17.
xp xp
ence
-2
2x²(x³ – 1) dx
xp (/1-X - €/)
19.
20.
(x+ 2)³ dx
e -e
1= (x)f
In discussing traffic safety, Shonles
50. Suppose that f(x) =
(300
22.
dt where x > e. Find f'(x).
%3D
et +e-t
4.
Ap –
51. Severity Index
considers how much acceleration a person can tolerate in a crash
so that there is no major injury. The severity index is defined as
21.
2.
xp
Bronb
xp
Lonoiens
23.
24.
CT
X - 1
xp
5/2
12 dt
= T'S
26.
| (3x2 + 4x)(x + 2x?)* dx
where a (a Greek letter read "alpha") is considered a constant
involved with a weighted average acceleration, and T is the
duration of the crash. Find the severity index.
25.
xp
bioqne
3.
(x+3)2
20/3
28.
nou-1/3
27.
xp
V3x + 5 dx
/10- 3p dp
av9? +3 dg
bp
30.
29.
1/3
31.
32.
dx
(x² + 1)2/3
-
xP I + pXLA* /
9.
33.
34.
(m + ny) dy
52. Statistics
In statistics, the mean u (a Greek letter reac
xp
“mu") of the continuous probability density function f defin
the interval [a, b] is given by
-
35.
36.
8|x| dx
xp
-2
xp (x) fx
37.
| 3(x-2 +x-3 –x-4) dx
and the variance o? (o is a Greek letter read "sigma") is g
xp
39.
(x+1)e+2* dx
1.
|
38.
= ,0
xp (X) f-(ri – x) =
Compute u and then o? if a = 0, b = 1, and f (x) = 6(x
The economist Pareto
a.
%3D
%3D
95
xp
In e
40.
53. Distribution of Incomes
2++6x* +x³ + 8x2 +x+ 5
x3 + 5x + 1
an empirical law of distribution of higher incomes that
number N of persons receiving x or more dollars. If
41.
xp
NP
=-Ar-B
xp
42.
dx (Hint: Multiply the integrand by )
J. I. Shonle, Environmental Applications of General Physics C
Addison-Wesley Publishing Company, Ic., 1975).
G. Tintner, Methodology of Mathematical Economics and Ec
(Chicago: University of Chicago Press, 1967), p. 16.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e2d6f28-e3d7-414c-b1d4-a752131175c2%2F258d94a3-a9ad-457b-85e4-2f4fb9d4b033%2Fv072cr.jpeg&w=3840&q=75)
Transcribed Image Text:we have
PROBLEMS 14.7
Section 14.7 The Fundamental Theorem of integral Caloukus
999
2.
(9)
he rate of
5x dx
43.
where f(r)-
3.
4.
uffices to
-5x dx
(2r - 3) dx
44. Evaluate
6.
xpx
5.
o² +
7.
+ 4y + 4) dy
45. Suppose f(x)D
-1 dr. Evaluate
3 dt.
8.
&p (66-)
(2t-3r2) dt
46. Evaluate
|
9.
10.
+ xp
xp
47. If
3/2
12.
f(x) dx 5 and
3.
x2
3/2
11.
%3D
Vx4 dx
8.
13.
14.
48. If
f) dx =5, and
*9 = xp (x)
fx) dx = 2, find
xp
1
1/2
16.
xp (+x+)
cost
xp
xp (x)f
15.
49. Evaluate
(z + 1)* dz
xp (- x^)|
181 18.
xp
(Hint: It is not necessary to find 2
17.
xp xp
ence
-2
2x²(x³ – 1) dx
xp (/1-X - €/)
19.
20.
(x+ 2)³ dx
e -e
1= (x)f
In discussing traffic safety, Shonles
50. Suppose that f(x) =
(300
22.
dt where x > e. Find f'(x).
%3D
et +e-t
4.
Ap –
51. Severity Index
considers how much acceleration a person can tolerate in a crash
so that there is no major injury. The severity index is defined as
21.
2.
xp
Bronb
xp
Lonoiens
23.
24.
CT
X - 1
xp
5/2
12 dt
= T'S
26.
| (3x2 + 4x)(x + 2x?)* dx
where a (a Greek letter read "alpha") is considered a constant
involved with a weighted average acceleration, and T is the
duration of the crash. Find the severity index.
25.
xp
bioqne
3.
(x+3)2
20/3
28.
nou-1/3
27.
xp
V3x + 5 dx
/10- 3p dp
av9? +3 dg
bp
30.
29.
1/3
31.
32.
dx
(x² + 1)2/3
-
xP I + pXLA* /
9.
33.
34.
(m + ny) dy
52. Statistics
In statistics, the mean u (a Greek letter reac
xp
“mu") of the continuous probability density function f defin
the interval [a, b] is given by
-
35.
36.
8|x| dx
xp
-2
xp (x) fx
37.
| 3(x-2 +x-3 –x-4) dx
and the variance o? (o is a Greek letter read "sigma") is g
xp
39.
(x+1)e+2* dx
1.
|
38.
= ,0
xp (X) f-(ri – x) =
Compute u and then o? if a = 0, b = 1, and f (x) = 6(x
The economist Pareto
a.
%3D
%3D
95
xp
In e
40.
53. Distribution of Incomes
2++6x* +x³ + 8x2 +x+ 5
x3 + 5x + 1
an empirical law of distribution of higher incomes that
number N of persons receiving x or more dollars. If
41.
xp
NP
=-Ar-B
xp
42.
dx (Hint: Multiply the integrand by )
J. I. Shonle, Environmental Applications of General Physics C
Addison-Wesley Publishing Company, Ic., 1975).
G. Tintner, Methodology of Mathematical Economics and Ec
(Chicago: University of Chicago Press, 1967), p. 16.
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