Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 20, Problem 78RE
To determine
To solve: The equation
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3. Verify that the indicated function (or family of functions) is a solution of the given differential equation. Assume an
appropriate interval I of definition for each solution.
The average number of minutes Americans commute to work is 27.7 minutes (Sterling's Best Places, April 13, 2012). The average commute time in minutes for 48 cities are as follows:
Click on the datafile logo to reference the data.
DATA file
Albuquerque
23.3
Jacksonville
26.2
Phoenix
28.3
Atlanta
28.3
Kansas City
23.4
Pittsburgh
25.0
Austin
24.6
Las Vegas
28.4
Portland
26.4
Baltimore
32.1
Little Rock
20.1
Providence
23.6
Boston
31.7
Los Angeles
32.2
Richmond
23.4
Charlotte
25.8
Louisville
21.4
Sacramento
25.8
Chicago
38.1
Memphis
23.8
Salt Lake City
20.2
Cincinnati
24.9
Miami
30.7
San Antonio
26.1
Cleveland
26.8
Milwaukee
24.8
San Diego
24.8
Columbus
23.4
Minneapolis
23.6
San Francisco
32.6
Dallas
28.5
Nashville
25.3
San Jose
28.5
Denver
28.1
New Orleans
31.7
Seattle
27.3
Detroit
29.3
New York
43.8
St. Louis
26.8
El Paso
24.4
Oklahoma City
22.0
Tucson
24.0
Fresno
23.0
Orlando
27.1
Tulsa
20.1
Indianapolis
24.8
Philadelphia
34.2
Washington, D.C.
32.8
a. What is the mean commute time for…
(b)
313
dy
dx
-y= 10 sin(2x)y;
y(x) = ex-5 cos(2x)
Chapter 20 Solutions
Basic Technical Mathematics
Ch. 20.1 - Prob. 1PECh. 20.1 - Prob. 2PECh. 20.1 - Prob. 3PECh. 20.1 - Prob. 1ECh. 20.1 - Prob. 2ECh. 20.1 - In Exercises 36, use a calculator to check the...Ch. 20.1 - Prob. 4ECh. 20.1 - Prob. 5ECh. 20.1 - Prob. 6ECh. 20.1 - Prob. 7E
Ch. 20.1 - Prob. 8ECh. 20.1 - Prob. 9ECh. 20.1 - Prob. 10ECh. 20.1 - Prob. 11ECh. 20.1 - Prob. 12ECh. 20.1 - Prob. 13ECh. 20.1 - Prob. 14ECh. 20.1 - Prob. 15ECh. 20.1 - Prob. 16ECh. 20.1 - Prob. 17ECh. 20.1 - Prob. 18ECh. 20.1 - In Exercises 19–38, prove the given identities.
Ch. 20.1 - Prob. 20ECh. 20.1 - In Exercises 19–38, prove the given identities.
Ch. 20.1 - Prob. 22ECh. 20.1 - Prob. 23ECh. 20.1 - Prob. 24ECh. 20.1 - Prob. 25ECh. 20.1 - Prob. 26ECh. 20.1 - Prob. 27ECh. 20.1 - Prob. 28ECh. 20.1 - Prob. 29ECh. 20.1 - Prob. 30ECh. 20.1 - Prob. 31ECh. 20.1 - Prob. 32ECh. 20.1 - Prob. 33ECh. 20.1 - Prob. 34ECh. 20.1 - Prob. 35ECh. 20.1 - Prob. 36ECh. 20.1 - Prob. 37ECh. 20.1 - Prob. 38ECh. 20.1 - Prob. 39ECh. 20.1 - Prob. 40ECh. 20.1 - Prob. 41ECh. 20.1 - Prob. 42ECh. 20.1 - Prob. 43ECh. 20.1 - Prob. 44ECh. 20.1 - Prob. 45ECh. 20.1 - Prob. 46ECh. 20.1 - Prob. 47ECh. 20.1 - Prob. 48ECh. 20.1 - In Exercises 47–50, for a first-quadrant angle,...Ch. 20.1 - Prob. 50ECh. 20.1 - Prob. 51ECh. 20.1 - Prob. 52ECh. 20.1 - Prob. 53ECh. 20.1 - Prob. 54ECh. 20.1 - Prob. 55ECh. 20.1 - Prob. 56ECh. 20.1 - Prob. 57ECh. 20.1 - Prob. 58ECh. 20.1 - Prob. 59ECh. 20.1 - Prob. 60ECh. 20.1 - Prob. 61ECh. 20.1 - Prob. 62ECh. 20.1 - Prob. 63ECh. 20.1 - In Exercise 63–70, solve the given...Ch. 20.1 - Prob. 65ECh. 20.1 - Prob. 66ECh. 20.1 - Prob. 67ECh. 20.1 - Prob. 68ECh. 20.1 - Prob. 69ECh. 20.1 - Prob. 70ECh. 20.1 - Prob. 71ECh. 20.1 - Prob. 72ECh. 20.1 - Prob. 73ECh. 20.1 - Prob. 74ECh. 20.2 - Prob. 1PECh. 20.2 - Prob. 2PECh. 20.2 - Prob. 1ECh. 20.2 - In Exercises 1 and 2, make the given changes in...Ch. 20.2 - Prob. 3ECh. 20.2 - In Exercises 36, determine the values of the given...Ch. 20.2 - Prob. 5ECh. 20.2 - Prob. 6ECh. 20.2 - Prob. 7ECh. 20.2 - Prob. 8ECh. 20.2 - Prob. 9ECh. 20.2 - Prob. 10ECh. 20.2 - Prob. 11ECh. 20.2 - In Exercises 1120, simplify the given...Ch. 20.2 - Prob. 13ECh. 20.2 - Prob. 14ECh. 20.2 - Prob. 15ECh. 20.2 - Prob. 16ECh. 20.2 - Prob. 17ECh. 20.2 - Prob. 18ECh. 20.2 - Prob. 19ECh. 20.2 - Prob. 20ECh. 20.2 - In Exercises 2124, evaluate each expression by...Ch. 20.2 - In Exercises 21–24, evaluate each expression by...Ch. 20.2 - Prob. 23ECh. 20.2 - Prob. 24ECh. 20.2 - Prob. 25ECh. 20.2 - Prob. 26ECh. 20.2 - Prob. 27ECh. 20.2 - Prob. 28ECh. 20.2 - Prob. 29ECh. 20.2 - Prob. 30ECh. 20.2 - Prob. 31ECh. 20.2 - Prob. 32ECh. 20.2 - Prob. 33ECh. 20.2 - Prob. 34ECh. 20.2 - Prob. 35ECh. 20.2 - Prob. 36ECh. 20.2 - Prob. 37ECh. 20.2 - Prob. 38ECh. 20.2 - Prob. 39ECh. 20.2 - Prob. 40ECh. 20.2 - Prob. 41ECh. 20.2 - In Exercises 4154, solve the given...Ch. 20.2 - Prob. 43ECh. 20.2 - Prob. 44ECh. 20.2 - Prob. 45ECh. 20.2 - Prob. 46ECh. 20.2 - Prob. 47ECh. 20.2 - Prob. 48ECh. 20.2 - Prob. 49ECh. 20.2 - Prob. 50ECh. 20.2 - Prob. 51ECh. 20.2 - Prob. 52ECh. 20.2 - Prob. 53ECh. 20.2 - Prob. 54ECh. 20.3 - Evaluate cos 90° using values for 45°.
Ch. 20.3 - Simplify:
Ch. 20.3 - In Exercises 1–4, make the given changes in the...Ch. 20.3 - In Exercises 1–4, make the given changes in the...Ch. 20.3 - In Exercises 1–4, make the given changes in the...Ch. 20.3 - Prob. 4ECh. 20.3 - Prob. 5ECh. 20.3 - In Exercises 5–8, determine the values of the...Ch. 20.3 - Prob. 7ECh. 20.3 - Prob. 8ECh. 20.3 - Prob. 9ECh. 20.3 - Prob. 10ECh. 20.3 - Prob. 11ECh. 20.3 - In Exercises 9–14, use a calculator to verify the...Ch. 20.3 - Prob. 13ECh. 20.3 - Prob. 14ECh. 20.3 - Prob. 15ECh. 20.3 - Prob. 16ECh. 20.3 - Prob. 17ECh. 20.3 - Prob. 18ECh. 20.3 - Prob. 19ECh. 20.3 - In Exercises 19–30, simplify the given...Ch. 20.3 - In Exercises 19–30, simplify the given...Ch. 20.3 - Prob. 22ECh. 20.3 - Prob. 23ECh. 20.3 - Prob. 24ECh. 20.3 - Prob. 25ECh. 20.3 - Prob. 26ECh. 20.3 - Prob. 27ECh. 20.3 - Prob. 28ECh. 20.3 - Prob. 29ECh. 20.3 - Prob. 30ECh. 20.3 - Prob. 31ECh. 20.3 - Prob. 32ECh. 20.3 - Prob. 33ECh. 20.3 - Prob. 34ECh. 20.3 - Prob. 35ECh. 20.3 - Prob. 36ECh. 20.3 - Prob. 37ECh. 20.3 - Prob. 38ECh. 20.3 - Prob. 39ECh. 20.3 - Prob. 40ECh. 20.3 - Prob. 41ECh. 20.3 - Prob. 42ECh. 20.3 - Prob. 43ECh. 20.3 - Prob. 44ECh. 20.3 - Prob. 45ECh. 20.3 - Prob. 46ECh. 20.3 - Prob. 47ECh. 20.3 - Prob. 48ECh. 20.3 - Prob. 49ECh. 20.3 - Prob. 50ECh. 20.3 - Prob. 51ECh. 20.3 - Prob. 52ECh. 20.3 - Prob. 53ECh. 20.3 - Prob. 54ECh. 20.3 - Prob. 55ECh. 20.3 - Prob. 56ECh. 20.3 - Prob. 57ECh. 20.3 - Prob. 58ECh. 20.3 - Prob. 59ECh. 20.3 - Prob. 60ECh. 20.3 - Prob. 61ECh. 20.3 - Prob. 62ECh. 20.4 - Prob. 1PECh. 20.4 - Prob. 1ECh. 20.4 - Prob. 3ECh. 20.4 - Prob. 4ECh. 20.4 - Prob. 5ECh. 20.4 - Prob. 6ECh. 20.4 - Prob. 7ECh. 20.4 - Prob. 8ECh. 20.4 - Prob. 9ECh. 20.4 - Prob. 10ECh. 20.4 - Prob. 11ECh. 20.4 - Prob. 12ECh. 20.4 - Prob. 13ECh. 20.4 - Prob. 14ECh. 20.4 - Prob. 15ECh. 20.4 - Prob. 16ECh. 20.4 - Prob. 17ECh. 20.4 - Prob. 18ECh. 20.4 - Prob. 19ECh. 20.4 - Prob. 20ECh. 20.4 - Prob. 21ECh. 20.4 - In Exercises 21–24, evaluate the indicated...Ch. 20.4 - Prob. 23ECh. 20.4 - Prob. 24ECh. 20.4 - In Exercises 25–28, derive the required...Ch. 20.4 - Prob. 26ECh. 20.4 - Prob. 27ECh. 20.4 - Prob. 28ECh. 20.4 - Prob. 29ECh. 20.4 - Prob. 30ECh. 20.4 - Prob. 31ECh. 20.4 - Prob. 32ECh. 20.4 - Prob. 33ECh. 20.4 - Prob. 34ECh. 20.4 - Prob. 35ECh. 20.4 - Prob. 36ECh. 20.4 - Prob. 37ECh. 20.4 - Prob. 38ECh. 20.4 - Prob. 39ECh. 20.4 - Prob. 40ECh. 20.4 - Prob. 41ECh. 20.4 - Prob. 42ECh. 20.4 - Prob. 43ECh. 20.4 - Prob. 44ECh. 20.4 - Prob. 45ECh. 20.4 - Prob. 46ECh. 20.4 - Prob. 47ECh. 20.4 - Prob. 48ECh. 20.5 - Prob. 1PECh. 20.5 - Prob. 2PECh. 20.5 - Prob. 1ECh. 20.5 - Prob. 2ECh. 20.5 - Prob. 3ECh. 20.5 - Prob. 4ECh. 20.5 - Prob. 5ECh. 20.5 - In Exercises 5–20, solve the given trigonometric...Ch. 20.5 - Prob. 7ECh. 20.5 - In Exercises 5–20, solve the given trigonometric...Ch. 20.5 - Prob. 9ECh. 20.5 - Prob. 10ECh. 20.5 - Prob. 11ECh. 20.5 - Prob. 12ECh. 20.5 - Prob. 13ECh. 20.5 - Prob. 14ECh. 20.5 - Prob. 15ECh. 20.5 - In Exercises 5–20, solve the given trigonometric...Ch. 20.5 - Prob. 17ECh. 20.5 - Prob. 18ECh. 20.5 - Prob. 19ECh. 20.5 - Prob. 20ECh. 20.5 - Prob. 21ECh. 20.5 - Prob. 22ECh. 20.5 - Prob. 23ECh. 20.5 - Prob. 24ECh. 20.5 - Prob. 25ECh. 20.5 - Prob. 26ECh. 20.5 - Prob. 27ECh. 20.5 - Prob. 28ECh. 20.5 - Prob. 29ECh. 20.5 - Prob. 30ECh. 20.5 - Prob. 31ECh. 20.5 - Prob. 32ECh. 20.5 - Prob. 33ECh. 20.5 - Prob. 34ECh. 20.5 - Prob. 35ECh. 20.5 - Prob. 36ECh. 20.5 - Prob. 37ECh. 20.5 - Prob. 38ECh. 20.5 - Prob. 39ECh. 20.5 - Prob. 40ECh. 20.5 - Prob. 41ECh. 20.5 - Prob. 42ECh. 20.5 - Prob. 43ECh. 20.5 - Prob. 44ECh. 20.5 - Prob. 45ECh. 20.5 - Prob. 46ECh. 20.5 - Prob. 47ECh. 20.5 - Prob. 48ECh. 20.5 - Prob. 49ECh. 20.5 - Prob. 50ECh. 20.5 - Prob. 51ECh. 20.5 - Prob. 52ECh. 20.5 - Prob. 53ECh. 20.5 - Prob. 54ECh. 20.5 - Prob. 55ECh. 20.5 - Prob. 56ECh. 20.5 - Prob. 57ECh. 20.5 - Prob. 58ECh. 20.5 - Prob. 59ECh. 20.5 - Prob. 60ECh. 20.5 - Prob. 61ECh. 20.5 - Prob. 62ECh. 20.6 - Prob. 1PECh. 20.6 - Prob. 2PECh. 20.6 - Prob. 1ECh. 20.6 - Prob. 2ECh. 20.6 - Prob. 3ECh. 20.6 - Prob. 4ECh. 20.6 - Prob. 5ECh. 20.6 - Prob. 6ECh. 20.6 - Prob. 7ECh. 20.6 - Prob. 8ECh. 20.6 - Prob. 9ECh. 20.6 - Prob. 10ECh. 20.6 - Prob. 11ECh. 20.6 -
In Exercises 11—28, evaluate exactly the given...Ch. 20.6 -
In Exercises 11—28, evaluate exactly the given...Ch. 20.6 -
In Exercises 11—28, evaluate exactly the given...Ch. 20.6 - Prob. 15ECh. 20.6 - Prob. 16ECh. 20.6 - Prob. 17ECh. 20.6 -
In Exercises 11—28, evaluate exactly the given...Ch. 20.6 - Prob. 19ECh. 20.6 - Prob. 20ECh. 20.6 - Prob. 21ECh. 20.6 - Prob. 22ECh. 20.6 - Prob. 23ECh. 20.6 - Prob. 24ECh. 20.6 - Prob. 25ECh. 20.6 - Prob. 26ECh. 20.6 - Prob. 27ECh. 20.6 - Prob. 28ECh. 20.6 - Prob. 29ECh. 20.6 - Prob. 30ECh. 20.6 - Prob. 31ECh. 20.6 - Prob. 32ECh. 20.6 -
In Exercises 29—36, use a calculator to evaluate...Ch. 20.6 -
In Exercises 29—36, use a calculator to evaluate...Ch. 20.6 - Prob. 35ECh. 20.6 -
In Exercises 29—36, use a calculator to evaluate...Ch. 20.6 - Prob. 37ECh. 20.6 - Prob. 38ECh. 20.6 - Prob. 39ECh. 20.6 - Prob. 40ECh. 20.6 - Prob. 41ECh. 20.6 - Prob. 42ECh. 20.6 - Prob. 43ECh. 20.6 - Prob. 44ECh. 20.6 - Prob. 45ECh. 20.6 - Prob. 46ECh. 20.6 - Prob. 47ECh. 20.6 - Prob. 48ECh. 20.6 - Prob. 49ECh. 20.6 - Prob. 50ECh. 20.6 - In Exercises 51–56, solve the given problems with...Ch. 20.6 - Prob. 52ECh. 20.6 - Prob. 53ECh. 20.6 - Prob. 54ECh. 20.6 - Prob. 55ECh. 20.6 - Prob. 56ECh. 20.6 - Prob. 57ECh. 20.6 - Prob. 58ECh. 20.6 - Prob. 59ECh. 20.6 - Prob. 60ECh. 20.6 - Prob. 61ECh. 20.6 - Prob. 62ECh. 20.6 - Prob. 63ECh. 20.6 - Prob. 64ECh. 20.6 - Prob. 65ECh. 20.6 - Prob. 66ECh. 20.6 - Prob. 67ECh. 20.6 - Prob. 68ECh. 20.6 - Prob. 69ECh. 20.6 - Prob. 70ECh. 20.6 - Prob. 71ECh. 20.6 - Prob. 72ECh. 20.6 - Prob. 73ECh. 20.6 - Prob. 74ECh. 20.6 - Prob. 75ECh. 20.6 - Prob. 76ECh. 20 - Prob. 1RECh. 20 - Prob. 2RECh. 20 - Prob. 3RECh. 20 - Prob. 4RECh. 20 - Prob. 5RECh. 20 - Prob. 6RECh. 20 - Prob. 7RECh. 20 - Prob. 8RECh. 20 - Prob. 9RECh. 20 - Prob. 10RECh. 20 - Prob. 11RECh. 20 - Prob. 12RECh. 20 - Prob. 13RECh. 20 - Prob. 14RECh. 20 - In Exercises 15–22, simplify the given expressions...Ch. 20 - In Exercises 15–22, simplify the given expressions...Ch. 20 - Prob. 17RECh. 20 - Prob. 18RECh. 20 - Prob. 19RECh. 20 - Prob. 20RECh. 20 - Prob. 21RECh. 20 - Prob. 22RECh. 20 - Prob. 23RECh. 20 - Prob. 24RECh. 20 - Prob. 25RECh. 20 - Prob. 26RECh. 20 - Prob. 27RECh. 20 - Prob. 28RECh. 20 - Prob. 29RECh. 20 - Prob. 30RECh. 20 - Prob. 31RECh. 20 - Prob. 32RECh. 20 - Prob. 33RECh. 20 - Prob. 34RECh. 20 - Prob. 35RECh. 20 - Prob. 36RECh. 20 - Prob. 37RECh. 20 - Prob. 38RECh. 20 - Prob. 39RECh. 20 - Prob. 40RECh. 20 - Prob. 41RECh. 20 - Prob. 42RECh. 20 - Prob. 43RECh. 20 - Prob. 44RECh. 20 - Prob. 45RECh. 20 - Prob. 46RECh. 20 - Prob. 47RECh. 20 - Prob. 48RECh. 20 - Prob. 50RECh. 20 - Prob. 51RECh. 20 - Prob. 52RECh. 20 - Prob. 53RECh. 20 - Prob. 54RECh. 20 -
In Exercises 51—58, simplify the given...Ch. 20 - Prob. 56RECh. 20 - Prob. 57RECh. 20 - Prob. 58RECh. 20 - Prob. 59RECh. 20 - Prob. 60RECh. 20 - Prob. 61RECh. 20 - Prob. 62RECh. 20 - Prob. 63RECh. 20 - Prob. 64RECh. 20 - Prob. 65RECh. 20 - Prob. 66RECh. 20 - Prob. 67RECh. 20 - Prob. 68RECh. 20 - Prob. 69RECh. 20 - Prob. 70RECh. 20 - Prob. 71RECh. 20 - Prob. 72RECh. 20 - Prob. 73RECh. 20 - Prob. 74RECh. 20 - Prob. 75RECh. 20 - Prob. 76RECh. 20 - Prob. 77RECh. 20 - Prob. 78RECh. 20 - Prob. 79RECh. 20 - Prob. 80RECh. 20 - Prob. 81RECh. 20 - Prob. 82RECh. 20 - Prob. 83RECh. 20 - Prob. 84RECh. 20 - Prob. 85RECh. 20 - Prob. 86RECh. 20 - Prob. 87RECh. 20 - Prob. 88RECh. 20 - Prob. 89RECh. 20 - Prob. 90RECh. 20 - Prob. 91RECh. 20 - Prob. 92RECh. 20 - Prob. 93RECh. 20 - Prob. 94RECh. 20 - Prob. 95RECh. 20 - Prob. 96RECh. 20 - Prob. 97RECh. 20 - Prob. 98RECh. 20 - Prob. 99RECh. 20 - Prob. 100RECh. 20 - Prob. 101RECh. 20 - Prob. 102RECh. 20 - Prob. 103RECh. 20 - Prob. 104RECh. 20 - Prob. 105RECh. 20 - Prob. 106RECh. 20 - Prob. 107RECh. 20 - Prob. 108RECh. 20 - Prob. 109RECh. 20 - Prob. 110RECh. 20 - Prob. 111RECh. 20 - Prob. 112RECh. 20 - Prob. 113RECh. 20 - Prob. 114RECh. 20 - Prob. 115RECh. 20 - Prob. 116RECh. 20 - Prob. 117RECh. 20 - Prob. 118RECh. 20 - Prob. 119RECh. 20 - Prob. 120RECh. 20 - Prob. 121RECh. 20 - Prob. 122RECh. 20 - Prob. 123RECh. 20 - Prob. 124RECh. 20 - Prob. 125RECh. 20 - Prob. 126RECh. 20 - Prob. 127RECh. 20 - Prob. 128RECh. 20 - Prob. 129RECh. 20 - Prob. 130RECh. 20 - Prob. 131RECh. 20 - Prob. 1PTCh. 20 - Prob. 2PTCh. 20 - Prob. 3PTCh. 20 - Prob. 4PTCh. 20 - Prob. 5PTCh. 20 - Prob. 6PTCh. 20 - Prob. 7PTCh. 20 - Prob. 8PTCh. 20 - Prob. 9PTCh. 20 - Prob. 10PT
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