9. Income-Education Sociologists studied the relation between income and number of years of education for members of a particular urban group. They found that a person with x years of education before seeking regular employment can expect to receive an average yearly income of y dollars per year, where y = 5x/2 + 5900 4 < x < 16 Find the rate of change of income with respect to number of years of education. Evaluation the expression when x 9.
9. Income-Education Sociologists studied the relation between income and number of years of education for members of a particular urban group. They found that a person with x years of education before seeking regular employment can expect to receive an average yearly income of y dollars per year, where y = 5x/2 + 5900 4 < x < 16 Find the rate of change of income with respect to number of years of education. Evaluation the expression when x 9.
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...
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Question
#9,#11
![(b) Find the average velocity over the given interval.
(c) Find the velocity at the given t-value.
ed ayi puiy (
22. 7 = 0.00
In Problems 2
the number q
and the marg.
3. s = 212 – 4t; [7, 7.5]; t = 7
4. s = -t+ 1; [2, 2.1]; t = 2
23. r = 0.8q
5. s = 5t + 3t + 24; [1, 1.01]; t = 1
r = q (15
6. s = -3t2 + 2t + 1; [1, 1.25]; t = 1
7. s = 1 - 213 + t; [2, 2.1]; t = 2
25. r = 240g
8. s = 3r* – t/2; [0, ]; t = 0
26. r = 2q(3
|
%3D
9. Income-Education Sociologists studied the relation
between income and number of years of education for members of
a particular urban group. They found that a person with x years
of education before seeking regular employment can expect to
receive an average yearly income of y dollars per year, where
27. Hosiery I
estimated by I
where q is out
Find the margi
evaluate each
y = 5x/2 + 5900
4 < x < 16
%3D
Find the rate of change of income with respect to number of years
of education. Evaluation the expression when x = 9.
28. Light and
electric light ar
10. Find the rate of change of the volume V of a ball, with respect
to its radius r, when r = 1.5 m. The volume V of a ball as a
function of its radius r is given by
c = 32.07 –
4.
V = V(r) =
where q is the e
and c is the tota
3.
function and ev
11. Skin Temperature The approximate temperature T of the
skin in terms of the temperature Te of the environment is given by
29. Urban Co
United States in
T = 32.8 +0.27(Te – 20)
cities). From Lo
where T and Te are in degrees Celsius. Find the rate of change of
T with respect to Te.
12. Biology The volume V of a spherical cell is given by
V = ar, where r is the radius. Find the rate of change of
volume with respect to the radius when r = 6.3 x 10-4
Here, P is the pe
relation is called
for P in terms o
changing with re
cm.
In Problems 13–18, cost functions are given, where c is the cost of
producing q units of a product. In each case, find the marginal-cost
function. What is the marginal cost at the given value(s) of q?
30. Depreciatic
depreciation, the
elapsed is given
13. c = 500 + 10q; q = 100
%3D
14. c = 5000+ 6q; q = 36
%3D
where 0 <t 6.
t =2? t = 4? at a
15. c = 0.2q? + 4q +50; q = 10
%3D
16. c =0.1q² + 3q + 2; q = 3
%3D
17. c = q + 50q + 1000; q = 15, q = 16, q = 17
4J. Dean, "Statistical
Administrati
'R. W. Stacy et al Fo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e2d6f28-e3d7-414c-b1d4-a752131175c2%2F369bf9b1-0cd3-4623-a2de-de6f475726e2%2Fxwtgpl6.jpeg&w=3840&q=75)
Transcribed Image Text:(b) Find the average velocity over the given interval.
(c) Find the velocity at the given t-value.
ed ayi puiy (
22. 7 = 0.00
In Problems 2
the number q
and the marg.
3. s = 212 – 4t; [7, 7.5]; t = 7
4. s = -t+ 1; [2, 2.1]; t = 2
23. r = 0.8q
5. s = 5t + 3t + 24; [1, 1.01]; t = 1
r = q (15
6. s = -3t2 + 2t + 1; [1, 1.25]; t = 1
7. s = 1 - 213 + t; [2, 2.1]; t = 2
25. r = 240g
8. s = 3r* – t/2; [0, ]; t = 0
26. r = 2q(3
|
%3D
9. Income-Education Sociologists studied the relation
between income and number of years of education for members of
a particular urban group. They found that a person with x years
of education before seeking regular employment can expect to
receive an average yearly income of y dollars per year, where
27. Hosiery I
estimated by I
where q is out
Find the margi
evaluate each
y = 5x/2 + 5900
4 < x < 16
%3D
Find the rate of change of income with respect to number of years
of education. Evaluation the expression when x = 9.
28. Light and
electric light ar
10. Find the rate of change of the volume V of a ball, with respect
to its radius r, when r = 1.5 m. The volume V of a ball as a
function of its radius r is given by
c = 32.07 –
4.
V = V(r) =
where q is the e
and c is the tota
3.
function and ev
11. Skin Temperature The approximate temperature T of the
skin in terms of the temperature Te of the environment is given by
29. Urban Co
United States in
T = 32.8 +0.27(Te – 20)
cities). From Lo
where T and Te are in degrees Celsius. Find the rate of change of
T with respect to Te.
12. Biology The volume V of a spherical cell is given by
V = ar, where r is the radius. Find the rate of change of
volume with respect to the radius when r = 6.3 x 10-4
Here, P is the pe
relation is called
for P in terms o
changing with re
cm.
In Problems 13–18, cost functions are given, where c is the cost of
producing q units of a product. In each case, find the marginal-cost
function. What is the marginal cost at the given value(s) of q?
30. Depreciatic
depreciation, the
elapsed is given
13. c = 500 + 10q; q = 100
%3D
14. c = 5000+ 6q; q = 36
%3D
where 0 <t 6.
t =2? t = 4? at a
15. c = 0.2q? + 4q +50; q = 10
%3D
16. c =0.1q² + 3q + 2; q = 3
%3D
17. c = q + 50q + 1000; q = 15, q = 16, q = 17
4J. Dean, "Statistical
Administrati
'R. W. Stacy et al Fo
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