CALCULUS & ITS APPLICATIONS+MYMATHLAB
16th Edition
ISBN: 9781323161470
Author: BITTINGER
Publisher: PEARSON C
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Textbook Question
Chapter 4.5, Problem 77E
a. 61-78. Use a graphing calculator to check the results of Exercises 43-60. Left to the student
Evaluate. Use the technique of Example 9.
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2. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.015.
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.)
ASK YOUR TEACHER
3
1
3 +
dy, n = 6
(a) the Trapezoidal Rule
(b) the Midpoint Rule
(c) Simpson's Rule
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This question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one.
A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The
wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture.
B
A
B
at some instant, the piston will be tangent to the circle
(a) Express the x and y coordinates of point A as functions of t:
x= 2 cos(3πt)
and y= 2 sin(3πt)
(b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds:
-cot (3πt)
(c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +41/1
(d) Express the slope of the rod…
4. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.024.
Find the approximations Tη, Mn, and S, to the integral
computer algebra system.)
ASK YOUR TEACHER
PRACTICE ANOTHER
4 39
√
dx for n = 6 and 12. Then compute the corresponding errors ET, EM, and Es. (Round your answers to six decimal places. You may wish to use the sum command on a
n
Tn
Mn
Sp
6
12
n
ET
EM
Es
6
12
What observations can you make? In particular, what happens to the errors when n is doubled?
As n is doubled, ET and EM are decreased by a factor of about
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'
and Es is decreased by a factor of about
Chapter 4 Solutions
CALCULUS & ITS APPLICATIONS+MYMATHLAB
Ch. 4.1 - Find each integral.
1.
Ch. 4.1 - Find each integral.
2.
Ch. 4.1 - Find each integral. 2dxCh. 4.1 - Find each integral. 4dxCh. 4.1 - Find each integral. x1/4dxCh. 4.1 - Find each integral. x1/3dxCh. 4.1 - Find each integral.
7.
Ch. 4.1 - Find each integral.
8.
Ch. 4.1 - Find each integral. (2t2+5t3)dtCh. 4.1 - Find each integral.
10.
Ch. 4.1 - Find each integral.
11.
Ch. 4.1 - Find each integral.
12.
Ch. 4.1 - Find each integral. x3dxCh. 4.1 - Find each integral. xdxCh. 4.1 - Find each integral. x5dxCh. 4.1 - Find each integral. x23dxCh. 4.1 - Find each integral. dxx4Ch. 4.1 - Find each integral. dxx2Ch. 4.1 - Find each integral.
19.
Ch. 4.1 - Find each integral.
20.
Ch. 4.1 - Find each integral.
21.
Ch. 4.1 - Find each integral.
22.
Ch. 4.1 - Find each integral. 7x23dxCh. 4.1 - Find each integral.
24.
Ch. 4.1 - Find each integral. 2e2xdxCh. 4.1 - Find each integral.
26.
Ch. 4.1 - Find each integral. e3xdxCh. 4.1 - Find each integral. e5xdxCh. 4.1 - Find each integral.
29.
Ch. 4.1 - Find each integral. e6xdxCh. 4.1 - Find each integral. 5e3xdxCh. 4.1 - Find each integral. 2e5xdxCh. 4.1 - Find each integral.
33.
Ch. 4.1 - Find each integral.
34.
Ch. 4.1 - Find each integral. 23e9xdxCh. 4.1 - Find each integral. 45e10xdxCh. 4.1 - Find each integral.
37.
Ch. 4.1 - Find each integral. (2x54e3x)dxCh. 4.1 - Find each integral.
39.
Ch. 4.1 - Find each integral. (x4+18x45x2/5)dxCh. 4.1 - Find each integral. (3x+2)2dx (Hint: Expand...Ch. 4.1 - Find each integral.
42.
Ch. 4.1 - Find each integral. (3x5e2e+x7)dx,x0Ch. 4.1 - Find each integral. (2e6x3x+x43)dx,x0Ch. 4.1 - Find each integral. (7x23e5x8x)dx,x0Ch. 4.1 - Find each integral. (4x5+34e6x7x)dx,x0Ch. 4.1 - Find f such that: f(x)=x3,f(2)=9Ch. 4.1 - Find such that:
48.
Ch. 4.1 - Find such that:
49.
Ch. 4.1 - Find such that:
50.
Ch. 4.1 - Find f such that: f(x)=5x2+3x7,f(0)=9Ch. 4.1 - Find f such that: f(x)=8x2+4x2,f(0)=6Ch. 4.1 - Find f such that: f(x)=3x25x+1,f(1)=72Ch. 4.1 - Find f such that: f(x)=6x24x+2,f(1)=9Ch. 4.1 - Find f such that: f(x)=5e2x,f(0)=12Ch. 4.1 - Find f such that: f(x)=3e4x,f(0)=74Ch. 4.1 - Find such that:
57.
Ch. 4.1 - Prob. 58ECh. 4.1 - Credit Market Debt.
Since 2009, the annual rate of...Ch. 4.1 - Credit Market Debt.
Since 2009, the annual rate of...Ch. 4.1 - Total cost from marginal cost. Belvedere, Inc.,...Ch. 4.1 - 62. Total cost from marginal cost. Solid Rock...Ch. 4.1 - 63. Total revenue from marginal revenue. Eloy...Ch. 4.1 - Total revenue from marginal revenue. Taylor...Ch. 4.1 - Demand from marginal demand. Lessard Company...Ch. 4.1 - Prob. 66ECh. 4.1 - 67. Efficiency of a machine operator. The rate at...Ch. 4.1 - Efficiency of a machine operator. The rate at...Ch. 4.1 - 69. Heart rate. The rate of change in Trisha’s...Ch. 4.1 - 70. Memory. In a memory experiment, the rate at...Ch. 4.1 - 71. Physics: height of a thrown baseball. A...Ch. 4.1 - Physics: height of an object. A football player...Ch. 4.1 - 73. Population growth. The rates of changes in...Ch. 4.1 - Comparing rates of change. Jim is offered a job...Ch. 4.1 - Prob. 75ECh. 4.1 - Prob. 76ECh. 4.1 - Solve each integral. Each can be found using rules...Ch. 4.1 - Solve each integral. Each can be found using rules...Ch. 4.1 - Solve each integral. Each can be found using rules...Ch. 4.1 - Solve each integral. Each can be found using rules...Ch. 4.1 - Solve each integral. Each can be found using rules...Ch. 4.1 - Prob. 82ECh. 4.1 - Prob. 83ECh. 4.1 - Prob. 84ECh. 4.1 - Prob. 85ECh. 4.1 - Prob. 86ECh. 4.1 - Prob. 87ECh. 4.2 - In Exercises 1-8, calculate total cost...Ch. 4.2 - In Exercises 1-8, calculate total cost...Ch. 4.2 - In Exercises 1-8, calculate total cost...Ch. 4.2 - In Exercises 1-8, calculate total cost...Ch. 4.2 - In Exercises 1-8, calculate total cost...Ch. 4.2 - In Exercises 1-8, calculate total cost...Ch. 4.2 - Prob. 7ECh. 4.2 - In Exercises 1-8, calculate total cost...Ch. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - 11. Express without using summation notation.
Ch. 4.2 - 12. Express without using summation notation.
Ch. 4.2 - Express i=010i2 without using summation notation.Ch. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - 16. Express without using summation notation.
Ch. 4.2 - a. Approximate the area under the following graph...Ch. 4.2 - 18. a. Approximate the area under the following...Ch. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - 22. Approximate the area under the graph of
over...Ch. 4.2 - Approximate the area under the graph of...Ch. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - In exercises 29-36, use geometry to evaluate each...Ch. 4.2 - In exercises 29-36, use geometry to evaluate each...Ch. 4.2 - In exercises 29-36, use geometry to evaluate each...Ch. 4.2 - In exercises 29-36, use geometry to evaluate each...Ch. 4.2 - In exercises 29-36, use geometry to evaluate each...Ch. 4.2 - In exercises 29-36, use geometry to evaluate each...Ch. 4.2 - In exercises 29-36, use geometry to evaluate each...Ch. 4.2 - In exercises 29-36, use geometry to evaluate each...Ch. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Use geometry and the following graph of f(x)=12x...Ch. 4.2 - The Trapezoidal Rule
We can approximate an...Ch. 4.2 - The Trapezoidal Rule We can approximate an...Ch. 4.2 - Simpson’s Rule.
To use Simpson’s Rule to...Ch. 4.2 - Simpson’s Rule.
To use Simpson’s Rule to...Ch. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - 46. When using Riemann summation to approximate...Ch. 4.2 - The area, A, of a semicircle of radius r is given...Ch. 4.2 - The area, A, of a semicircle of radius r is given...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - Find the area under the given curve over the...Ch. 4.3 - In each of Exercises 15-24, explain what the...Ch. 4.3 - In each of Exercises 15-24, explain what the...Ch. 4.3 - In each of Exercises 15-24, explain what the...Ch. 4.3 - In each of Exercises 15-24, explain what the...Ch. 4.3 - In each of Exercises 15-24, explain what the...Ch. 4.3 - In each of Exercises 15-24, explain what the...Ch. 4.3 - In each of Exercises 15-24, explain what the...Ch. 4.3 - In each of Exercises 15-24, explain what the...Ch. 4.3 - In each of Exercises 15-24, explain what the...Ch. 4.3 - In each of Exercises 15-24, explain what the...Ch. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Find the area under the graph of each function...Ch. 4.3 - In Exercises 33 and 34, determine visually whether...Ch. 4.3 - In Exercises 33 and 34, determine visually whether...Ch. 4.3 - Evaluate each integral. Then state whether the...Ch. 4.3 - Evaluate each integral. Then state whether the...Ch. 4.3 - Evaluate each integral. Then state whether the...Ch. 4.3 - Evaluate each integral. Then state whether the...Ch. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Evaluate. 13(3t2+7)dtCh. 4.3 - Evaluate. 12(4t3+1)dtCh. 4.3 - Evaluate. 14(x1)dxCh. 4.3 - Evaluate. 18(x32)dxCh. 4.3 - Evaluate. 25(2x23x+7)dxCh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Prob. 52ECh. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Evaluate. 1e(x+1x)dxCh. 4.3 - Evaluate.
56.
Ch. 4.3 - Evaluate. 022xdx(Hint:simplifyfirst.)Ch. 4.3 - Prob. 58ECh. 4.3 - Business: total revenue. Sallys Sweets finds that...Ch. 4.3 - Business: total profit. Pure Water Enterprises...Ch. 4.3 - Prob. 61ECh. 4.3 - 62. Business: increasing total cost....Ch. 4.3 - 63. Accumulated sales. Raggs, Ltd., estimate that...Ch. 4.3 - 64. Accumulated sales. Melanie’s Crafts estimates...Ch. 4.3 - Prob. 65ECh. 4.3 - Credit Market debt. The annual rate of change in...Ch. 4.3 - Prob. 67ECh. 4.3 - Industrial Learning Curve A company is producing a...Ch. 4.3 - The rate of memorizing information initially...Ch. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - The rate of memorizing information initially...Ch. 4.3 - Find
73.
Ch. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Find s(t) a(t)=6t+7,withv(0)=10ands(0)=20Ch. 4.3 - Prob. 79ECh. 4.3 - Prob. 80ECh. 4.3 - Distance and speed. A motorcycle accelerates at a...Ch. 4.3 - 82. Distance and speed. A car accelerates at a...Ch. 4.3 - Distance and speed. A bicyclist decelerates at a...Ch. 4.3 - 84. Distance and speed. A cheetah decelerates at a...Ch. 4.3 - Distance. For a freely falling object,...Ch. 4.3 - Time. A ball is thrown upward from a height of 10...Ch. 4.3 - Prob. 87ECh. 4.3 - 88. Distance. A motorcycle accelerates at a...Ch. 4.3 - 89. Physics. A particle starts at the origin. Its...Ch. 4.3 - Prob. 90ECh. 4.3 - Total pollution. A factory is polluting a lake in...Ch. 4.3 - Accumulated sales. Bluetape, Inc., estimates that...Ch. 4.3 - Prob. 93ECh. 4.3 - Prob. 94ECh. 4.3 - Evaluate. 416(x1)xdxCh. 4.3 - Prob. 96ECh. 4.3 - Prob. 97ECh. 4.3 - Prob. 98ECh. 4.3 - Prob. 99ECh. 4.3 - Evaluate. 49t+1tdtCh. 4.3 - Prob. 101ECh. 4.3 - Explain the error that has been made in each of...Ch. 4.3 - Prob. 103ECh. 4.3 - Prob. 104ECh. 4.3 - Prob. 105ECh. 4.3 - Prob. 106ECh. 4.3 - Evaluate. Prove that abf(x)dx=baf(x)dxCh. 4.4 - Find the area under the graph of over.
1.
Ch. 4.4 - Find the area under the graph of f over [1,5]....Ch. 4.4 - Find the area under the graph of over.
3.
Ch. 4.4 - Find the area under the graph of g over [2,3]....Ch. 4.4 - Find the area under the graph of f over [6,4]....Ch. 4.4 - Find the area under the graph of f over [6,4]....Ch. 4.4 - Find the area represented by each definite...Ch. 4.4 - Find the area represented by each definite...Ch. 4.4 - Find the area represented by each definite...Ch. 4.4 - Find the area represented by each definite...Ch. 4.4 - Find the area of the shaded region....Ch. 4.4 - Find the area of the shaded region.
12.
Ch. 4.4 - Find the area of the shaded region.
13.
Ch. 4.4 - Find the area of the shaded region.
14.
Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Prob. 24ECh. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Prob. 26ECh. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the area of the region bounded by the graphs...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - Find the average function value over the given...Ch. 4.4 - 45. Total and average daily profit. Shylls, Inc.,...Ch. 4.4 - 46. Total and average daily profit. Great Green,...Ch. 4.4 - 47. Accumulated sales. ProArt, Inc., estimates...Ch. 4.4 - Accumulated sales. Music Manager, Ltd., estimates...Ch. 4.4 - Refer to Exercise 47. Find ProArts average weekly...Ch. 4.4 - Refer to Exercise 48. Find the average monthly...Ch. 4.4 - Memorizing. In a memory experiment, Alan is able...Ch. 4.4 - Results of studying. Celias score on a test, s(t),...Ch. 4.4 - Results of practice. A keyboarders speed over a...Ch. 4.4 - 54. Average population. The population of the...Ch. 4.4 - 55. Average drug dose. The concentration, , of...Ch. 4.4 - New York temperature. For any date, the average...Ch. 4.4 - 57. Outside temperature. Suppose the temperature...Ch. 4.4 - 58. Engine emissions. The emissions of an engine...Ch. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - 65. Find the area bounded by, the x-axis, and the...Ch. 4.4 - 66. Life science: Poiseuille’s Law. The flow of...Ch. 4.4 - Prob. 67ECh. 4.4 - Find the area of the region enclosed by the given...Ch. 4.4 - Find the area of the region enclosed by the given...Ch. 4.4 - Find the area of the region enclosed by the given...Ch. 4.4 - Prob. 71ECh. 4.4 - 72. Consider the following functions:
a. Graph f...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by differentiating!)...Ch. 4.5 - Evaluate. (Be sure to check by...Ch. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4.5 - Evaluate. 01x(x2+1)5dxCh. 4.5 - Evaluate.
46.
Ch. 4.5 - Evaluate. 04dt1+tCh. 4.5 - Prob. 48ECh. 4.5 - Evaluate. 142x+1x2+x1dxCh. 4.5 - Evaluate.
50.
Ch. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Evaluate.
55.
Ch. 4.5 - Evaluate.
56.
Ch. 4.5 - Evaluate. 023x2dx(1+x3)5Ch. 4.5 - Evaluate.
58.
Ch. 4.5 - Evaluate. 077x1+x23dxCh. 4.5 - Prob. 60ECh. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - a. 61-78. Use a graphing calculator to check the...Ch. 4.5 - Evaluate. Use the technique of Example 9. xx5dxCh. 4.5 - Evaluate. Use the technique of Example 9. 3x2x+1dxCh. 4.5 - Evaluate. Use the technique of Example 9.
81.
Ch. 4.5 - Evaluate. Use the technique of Example 9. x+3x2dx...Ch. 4.5 - Evaluate. Use the technique of Example 9....Ch. 4.5 - Evaluate. Use the technique of Example 9....Ch. 4.5 - Evaluate. Use the technique of Example 9.
85.
Ch. 4.5 - Evaluate. Use the technique of Example 9.
86.
Ch. 4.5 - Demand from marginal demand. Masterson Insoles,...Ch. 4.5 - Profit from marginal profit. A firm has the...Ch. 4.5 - Marginal rate. The marriage rate in the United...Ch. 4.5 - Divorce rate. The divorce rate in the United...Ch. 4.5 - Find the total area of the shaded region.
91.
Ch. 4.5 - Find the total area of the shaded region.Ch. 4.5 - Evaluate.
93.
Ch. 4.5 - Prob. 94ECh. 4.5 - Evaluate.
95.
Ch. 4.5 - Prob. 96ECh. 4.5 - Evaluate. e1/tt2dtCh. 4.5 - Prob. 98ECh. 4.5 - Prob. 99ECh. 4.5 - Evaluate.
100.
Ch. 4.5 - Prob. 101ECh. 4.5 - Prob. 102ECh. 4.5 - Prob. 103ECh. 4.5 - Prob. 104ECh. 4.5 - Prob. 105ECh. 4.5 - Prob. 106ECh. 4.5 - Prob. 107ECh. 4.5 - Prob. 108ECh. 4.5 - Prob. 109ECh. 4.5 - Prob. 110ECh. 4.5 - Evaluate.
111.
Ch. 4.5 - Evaluate. exexex+exdxCh. 4.5 - Prob. 113ECh. 4.5 - Prob. 114ECh. 4.5 - Prob. 115ECh. 4.5 - Prob. 116ECh. 4.5 - 117. Is the following a true statement? Why or why...Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Prob. 29ECh. 4.6 - Evaluate using integration by parts or substation....Ch. 4.6 - Evaluate using integration by parts.
31.
Ch. 4.6 - Evaluate using integration by parts.
32.
Ch. 4.6 - Evaluate using integration by parts.
33.
Ch. 4.6 - Evaluate using integration by parts. 05In(x+7)dxCh. 4.6 - Evaluate using integration by parts. 01xexdxCh. 4.6 - Evaluate using integration by parts.
36.
Ch. 4.6 - Evaluate using integration by parts. 08xx+1dxCh. 4.6 - Prob. 38ECh. 4.6 - Prob. 39ECh. 4.6 - Profit from marginal profit. Nevin Patio...Ch. 4.6 - 41. Drug dosage. Suppose an oral dose of a drug is...Ch. 4.6 - Electrical energy use. The rate at which...Ch. 4.6 - In Exercises 43-44, evaluate the given indefinite...Ch. 4.6 - In Exercises 43-44, evaluate the given indefinite...Ch. 4.6 - Prob. 45ECh. 4.6 - Prob. 46ECh. 4.6 - Prob. 47ECh. 4.6 - Evaluate. tet(t+1)2dtCh. 4.6 - Prob. 49ECh. 4.6 - Prob. 50ECh. 4.6 - Prob. 51ECh. 4.6 - Prob. 52ECh. 4.6 - Prob. 53ECh. 4.6 - Evaluate. xnInxdx,n1Ch. 4.6 - Prob. 55ECh. 4.6 - 56. Verify that for any positive integral n,
.
Ch. 4.6 - 57. Is the following a true statement?
.
Why or...Ch. 4.6 - Prob. 58ECh. 4.6 - Occasionally, integration by parts yields an...Ch. 4.6 - Prob. 60ECh. 4.6 - Occasionally, integration by parts yields an...Ch. 4.6 - Prob. 62ECh. 4.6 - Prob. 63ECh. 4.7 - Find each antiderivative using Table 1. xe3xdxCh. 4.7 - Find each antiderivative using Table 1. 2xe3xdxCh. 4.7 - Prob. 3ECh. 4.7 - Find each antiderivative using Table 1. 1x29dxCh. 4.7 - Find each antiderivative using Table 1. 125x2dxCh. 4.7 - Prob. 6ECh. 4.7 - Prob. 7ECh. 4.7 - Prob. 8ECh. 4.7 - Prob. 9ECh. 4.7 - Prob. 10ECh. 4.7 - Find each antiderivative using Table 1.
11.
Ch. 4.7 - Find each antiderivative using Table 1....Ch. 4.7 - Find each antiderivative using Table 1.
13.
Ch. 4.7 - Find each antiderivative using Table 1. x3e2xdxCh. 4.7 - Find each antiderivative using Table 1.
15.
Ch. 4.7 - Find each antiderivative using Table 1....Ch. 4.7 - Find each antiderivative using Table 1.
17.
Ch. 4.7 - Find each antiderivative using Table 1.
18.
Ch. 4.7 - Find each antiderivative using Table 1....Ch. 4.7 - Find each antiderivative using Table 1....Ch. 4.7 - Find each antiderivative using Table 1. 54x21dxCh. 4.7 - Find each antiderivative using Table 1.
22.
Ch. 4.7 - Find each antiderivative using Table 1. 4m2+16dmCh. 4.7 - Find each antiderivative using Table 1.
24.
Ch. 4.7 - Find each antiderivative using Table 1.
25.
Ch. 4.7 - Find each antiderivative using Table 1....Ch. 4.7 - Find each antiderivative using Table 1. exx3dxCh. 4.7 - Find each antiderivative using Table 1.
28.
Ch. 4.7 - Find each antiderivative using Table 1. x1+2xdxCh. 4.7 - Find each antiderivative using Table 1.
30.
Ch. 4.7 - Supply from marginal supply. Stellar Lawn Care...Ch. 4.7 - Learning rate. The rate of change of the...Ch. 4.7 - Evaluate using Table 1 or...Ch. 4.7 - Evaluate using Table 1 or...Ch. 4.7 - Evaluate using Table 1 or www.wolframalpha.com....Ch. 4.7 - Evaluate using Table 1 or...Ch. 4.7 - Evaluate using Table 1 or www.wolframalpha.com....Ch. 4.7 - Evaluate using Table 1 or...Ch. 4.7 - Prove Formula 6 in Table 1 using integration by...Ch. 4.7 - 40. Prove Formula 18 in Table 1 using the...Ch. 4 - Classify each statement as either true or...Ch. 4 - Classify each statement as either true or false....Ch. 4 - Classify each statement as either true or false....Ch. 4 - Classify each statement as either true or...Ch. 4 - Classify each statement as either true or false....Ch. 4 - Prob. 6RECh. 4 - Match each integral in column A with the...Ch. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Business: total cost. The marginal cost, in...Ch. 4 - Find each antiderivative. 20x4dxCh. 4 - Find each antiderivative.
14.
Ch. 4 - Prob. 15RECh. 4 - Find the area under each curve over the Indicated...Ch. 4 - Find the area under each curve over the Indicated...Ch. 4 - Prob. 18RECh. 4 - In each case, give an interpretation of what the...Ch. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Evaluate.
22.
Ch. 4 - Prob. 23RECh. 4 - Evaluate.
24. , where
Ch. 4 - Evaluate.
25. , for g as shown in the graph at...Ch. 4 - Prob. 26RECh. 4 - Decide whether abf(x)dx is positive, negative, or...Ch. 4 - Decide whether is positive, negative, or...Ch. 4 - Find the area of the region bounded by y=x2+3x+1...Ch. 4 - Find each antiderivative using substitution. Do...Ch. 4 - Find each antiderivative using substitution. Do...Ch. 4 - Prob. 32RECh. 4 - Find each antiderivative using substitution. Do...Ch. 4 - Find each antiderivative using integration by...Ch. 4 - Find each antiderivative using integration by...Ch. 4 - Prob. 36RECh. 4 - Find each antiderivative using integration by...Ch. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - 43. Business: total cost. Refer to Exercise 12....Ch. 4 - 44. Find the average value of over. .
Ch. 4 - A particle starts out from the origin. Its...Ch. 4 - 46. Business: total revenue. A company estimates...Ch. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Integrate using any method. t7(t8+3)11dtCh. 4 - Integrate using any method. ln(7x)dxCh. 4 - Integrate using any method. xln(8x)dxCh. 4 - Prob. 54RECh. 4 - Find each antiderivative.
55.
Ch. 4 - Prob. 56RECh. 4 - Find each antiderivative. x91ln|x|dxCh. 4 - Find each antiderivative. ln|x3x4|dxCh. 4 - Find each antiderivative. dxx(ln|x|)4Ch. 4 - Find each antiderivative. xx+33dxCh. 4 - Find each antiderivative.
61.
Ch. 4 - Use a graphing calculator to approximate the area...Ch. 4 - 1. Approximate
by computing the area of...Ch. 4 - Find each antiderivative.
2.
Ch. 4 - Find each antiderivative.
3.
Ch. 4 - Find each antiderivative....Ch. 4 - Find the area under the curve over the indicated...Ch. 4 - Find the area under the curve over the indicated...Ch. 4 - Give an interpretation of the shaded area.Ch. 4 - Evaluate.
8.
Ch. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Find 37f(x)dx, for f as shown in the graph.Ch. 4 - Prob. 13TCh. 4 - Find each antiderivative using substitution....Ch. 4 - Find each antiderivative using substitution....Ch. 4 - Prob. 16TCh. 4 - Find each antiderivative using integration by...Ch. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Prob. 22TCh. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - 25. A robot leaving a spacecraft has velocity...Ch. 4 - Prob. 26TCh. 4 - Find each antiderivative using any method. Assume...Ch. 4 - Prob. 28TCh. 4 - Prob. 29TCh. 4 - Prob. 30TCh. 4 - Find each antiderivative using any method. Assume...Ch. 4 - Find each antiderivative using any method. Assume...Ch. 4 - Prob. 33TCh. 4 - Find each antiderivative using any method....Ch. 4 - Prob. 35TCh. 4 - Prob. 36TCh. 4 - Prob. 37TCh. 4 - Prob. 38TCh. 4 - Prob. 39TCh. 4 - Prob. 40T
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