Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 17.2, Problem 43E
To determine
The values of a and b in the inequality
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Answers
What is a solution to a differential equation? We said that a differential equation is an equation that
describes the derivative, or derivatives, of a function that is unknown to us. By a solution to a differential
equation, we mean simply a function that satisfies this description.
2. Here is a differential equation which describes an unknown position function s(t):
ds
dt
318
4t+1,
ds
(a) To check that s(t) = 2t2 + t is a solution to this differential equation, calculate
you really do get 4t +1.
and check that
dt'
(b) Is s(t) = 2t2 +++ 4 also a solution to this differential equation?
(c) Is s(t)=2t2 + 3t also a solution to this differential equation?
ds
1
dt
(d) To find all possible solutions, start with the differential equation = 4t + 1, then move dt to the
right side of the equation by multiplying, and then integrate both sides. What do you get?
(e) Does this differential equation have a unique solution, or an infinite family of solutions?
Chapter 17 Solutions
Basic Technical Mathematics
Ch. 17.1 - For −6 < 3, determine the inequality if
1. 8 is...Ch. 17.1 - Prob. 2PECh. 17.1 - For the inequality −6 < 3, state the inequality...Ch. 17.1 - Prob. 4PECh. 17.1 - Prob. 5PECh. 17.1 - In Exercises 1–4, make the given changes in the...Ch. 17.1 - Prob. 2ECh. 17.1 - Prob. 3ECh. 17.1 - Prob. 4ECh. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...
Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...Ch. 17.1 - In Exercises 13–24, give the inequalities...Ch. 17.1 - In Exercises 13–24, give the inequalities...Ch. 17.1 - In Exercises 13–24, give the inequalities...Ch. 17.1 - In Exercises 13–24, give the inequalities...Ch. 17.1 - In Exercises 13–24, give the inequalities...Ch. 17.1 - In Exercises 13–24, give the inequalities...Ch. 17.1 - In Exercises 13–24, give the inequalities...Ch. 17.1 - In Exercises 13–24, give the inequalities...Ch. 17.1 - In Exercises 13–24, give the inequalities...Ch. 17.1 - Prob. 22ECh. 17.1 - Prob. 23ECh. 17.1 - Prob. 24ECh. 17.1 - Prob. 25ECh. 17.1 - Prob. 26ECh. 17.1 - Prob. 27ECh. 17.1 - Prob. 28ECh. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 29–44, graph the given inequalities...Ch. 17.1 - In Exercises 45–48, answer the given questions...Ch. 17.1 - In Exercises 45–48, answer the given questions...Ch. 17.1 - In Exercises 45–48, answer the given questions...Ch. 17.1 - In Exercises 45–48, answer the given questions...Ch. 17.1 - In Exercises 49–52, solve the given problems.
49....Ch. 17.1 - In Exercises 49–52, solve the given problems.
50....Ch. 17.1 - In Exercises 49–52, solve the given...Ch. 17.1 - In Exercises 49–52, solve the given problems.
52....Ch. 17.1 - In Exercises 53–62, some applications of...Ch. 17.1 - In Exercises 53–62, some applications of...Ch. 17.1 - In Exercises 53–62, some applications of...Ch. 17.1 - In Exercises 53–62, some applications of...Ch. 17.1 - In Exercises 53–62, some applications of...Ch. 17.1 - In Exercises 53–62, some applications of...Ch. 17.1 - In Exercises 53–62, some applications of...Ch. 17.1 - In Exercises 53–62, some applications of...Ch. 17.1 - In Exercises 53–62, some applications of...Ch. 17.1 - Prob. 62ECh. 17.2 - Prob. 1PECh. 17.2 - Prob. 2PECh. 17.2 - Prob. 3PECh. 17.2 - Prob. 4PECh. 17.2 - Prob. 1ECh. 17.2 - Prob. 2ECh. 17.2 - Prob. 3ECh. 17.2 - Prob. 4ECh. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - In Exercises 5–28, solve the given inequalities....Ch. 17.2 - Prob. 26ECh. 17.2 - Prob. 27ECh. 17.2 - Prob. 28ECh. 17.2 - Prob. 29ECh. 17.2 - Prob. 30ECh. 17.2 - Prob. 31ECh. 17.2 - Prob. 32ECh. 17.2 - Prob. 33ECh. 17.2 - Prob. 34ECh. 17.2 - Prob. 35ECh. 17.2 - Prob. 36ECh. 17.2 - Prob. 37ECh. 17.2 - Prob. 38ECh. 17.2 - In Exercises 39–60, solve the given problems by...Ch. 17.2 - In Exercises 39–60, solve the given problems by...Ch. 17.2 - In Exercises 39–60, solve the given problems by...Ch. 17.2 - Prob. 42ECh. 17.2 - Prob. 43ECh. 17.2 - Prob. 44ECh. 17.2 - Prob. 45ECh. 17.2 - Prob. 46ECh. 17.2 - Prob. 47ECh. 17.2 - Prob. 48ECh. 17.2 - In Exercises 39–60, solve the given problems by...Ch. 17.2 - Prob. 50ECh. 17.2 - Prob. 51ECh. 17.2 - Prob. 52ECh. 17.2 - Prob. 53ECh. 17.2 - Prob. 54ECh. 17.2 - Prob. 55ECh. 17.2 - Prob. 56ECh. 17.2 - Prob. 57ECh. 17.2 - Prob. 58ECh. 17.2 - Prob. 59ECh. 17.2 - Prob. 60ECh. 17.3 - Prob. 1PECh. 17.3 - Prob. 2PECh. 17.3 - Prob. 1ECh. 17.3 - Prob. 2ECh. 17.3 - Prob. 3ECh. 17.3 - Prob. 4ECh. 17.3 - Prob. 5ECh. 17.3 - Prob. 6ECh. 17.3 - Prob. 7ECh. 17.3 - Prob. 8ECh. 17.3 - Prob. 9ECh. 17.3 - Prob. 10ECh. 17.3 - Prob. 11ECh. 17.3 - Prob. 12ECh. 17.3 - Prob. 13ECh. 17.3 - Prob. 14ECh. 17.3 - Prob. 15ECh. 17.3 - Prob. 16ECh. 17.3 - Prob. 17ECh. 17.3 - Prob. 18ECh. 17.3 - Prob. 19ECh. 17.3 - Prob. 20ECh. 17.3 - Prob. 21ECh. 17.3 - Prob. 22ECh. 17.3 - Prob. 23ECh. 17.3 - Prob. 24ECh. 17.3 - Prob. 25ECh. 17.3 - Prob. 26ECh. 17.3 - Prob. 27ECh. 17.3 - Prob. 28ECh. 17.3 - Prob. 29ECh. 17.3 - Prob. 30ECh. 17.3 - Prob. 31ECh. 17.3 - Prob. 32ECh. 17.3 - Prob. 33ECh. 17.3 - Prob. 34ECh. 17.3 - Prob. 35ECh. 17.3 - Prob. 36ECh. 17.3 - Prob. 37ECh. 17.3 - Prob. 38ECh. 17.3 - Prob. 39ECh. 17.3 - Prob. 40ECh. 17.3 - Prob. 41ECh. 17.3 - Prob. 42ECh. 17.3 - Prob. 43ECh. 17.3 - Prob. 44ECh. 17.3 - Prob. 45ECh. 17.3 - Prob. 46ECh. 17.3 - Prob. 47ECh. 17.3 - Prob. 48ECh. 17.3 - Prob. 49ECh. 17.3 - Prob. 50ECh. 17.3 - Prob. 51ECh. 17.3 - Prob. 52ECh. 17.3 - Prob. 53ECh. 17.3 - Prob. 54ECh. 17.3 - Prob. 55ECh. 17.3 - Prob. 56ECh. 17.3 - In Exercises 51–62, answer the given questions by...Ch. 17.3 - Prob. 58ECh. 17.3 - Prob. 59ECh. 17.3 - Prob. 60ECh. 17.3 - Prob. 61ECh. 17.3 - Prob. 62ECh. 17.4 - Prob. 1PECh. 17.4 - Prob. 2PECh. 17.4 - Prob. 1ECh. 17.4 - Prob. 2ECh. 17.4 - Prob. 3ECh. 17.4 - Prob. 4ECh. 17.4 - Prob. 5ECh. 17.4 - Prob. 6ECh. 17.4 - Prob. 7ECh. 17.4 - Prob. 8ECh. 17.4 - Prob. 9ECh. 17.4 - Prob. 10ECh. 17.4 - Prob. 11ECh. 17.4 - Prob. 12ECh. 17.4 - Prob. 13ECh. 17.4 - Prob. 14ECh. 17.4 - Prob. 15ECh. 17.4 - Prob. 16ECh. 17.4 - Prob. 17ECh. 17.4 - Prob. 18ECh. 17.4 - Prob. 19ECh. 17.4 - Prob. 20ECh. 17.4 - Prob. 21ECh. 17.4 - Prob. 22ECh. 17.4 - Prob. 23ECh. 17.4 - Prob. 24ECh. 17.4 - Prob. 25ECh. 17.4 - Prob. 26ECh. 17.4 - Prob. 27ECh. 17.4 - Prob. 28ECh. 17.4 - Prob. 29ECh. 17.4 - Prob. 30ECh. 17.4 - Prob. 31ECh. 17.4 - Prob. 32ECh. 17.4 - Prob. 33ECh. 17.4 - Prob. 34ECh. 17.4 - Prob. 35ECh. 17.4 - Prob. 36ECh. 17.4 - Prob. 37ECh. 17.4 - Prob. 38ECh. 17.4 - Prob. 39ECh. 17.4 - Prob. 40ECh. 17.4 - Prob. 41ECh. 17.4 - Prob. 42ECh. 17.4 - Prob. 43ECh. 17.4 - Prob. 44ECh. 17.4 - Prob. 45ECh. 17.4 - Prob. 46ECh. 17.4 - Prob. 47ECh. 17.4 - Prob. 48ECh. 17.5 - Prob. 1PECh. 17.5 - Prob. 2PECh. 17.5 - Prob. 1ECh. 17.5 - Prob. 2ECh. 17.5 - Prob. 3ECh. 17.5 - Prob. 4ECh. 17.5 - Prob. 5ECh. 17.5 - Prob. 6ECh. 17.5 - Prob. 7ECh. 17.5 - Prob. 8ECh. 17.5 - Prob. 9ECh. 17.5 - Prob. 10ECh. 17.5 - Prob. 11ECh. 17.5 - Prob. 12ECh. 17.5 - Prob. 13ECh. 17.5 - Prob. 14ECh. 17.5 - Prob. 15ECh. 17.5 - Prob. 16ECh. 17.5 - Prob. 17ECh. 17.5 - Prob. 18ECh. 17.5 - Prob. 19ECh. 17.5 - Prob. 20ECh. 17.5 - Prob. 21ECh. 17.5 - Prob. 22ECh. 17.5 - Prob. 23ECh. 17.5 - Prob. 24ECh. 17.5 - Prob. 25ECh. 17.5 - Prob. 26ECh. 17.5 - Prob. 27ECh. 17.5 - Prob. 28ECh. 17.5 - Prob. 29ECh. 17.5 - Prob. 30ECh. 17.5 - Prob. 31ECh. 17.5 - Prob. 32ECh. 17.5 - Prob. 33ECh. 17.5 - Prob. 34ECh. 17.5 - Prob. 35ECh. 17.5 - Prob. 36ECh. 17.5 - Prob. 37ECh. 17.5 - Prob. 38ECh. 17.5 - Prob. 39ECh. 17.5 - Prob. 40ECh. 17.5 - Prob. 41ECh. 17.5 - Prob. 42ECh. 17.5 - Prob. 43ECh. 17.5 - Prob. 44ECh. 17.5 - Prob. 45ECh. 17.5 - Prob. 46ECh. 17.5 - Prob. 47ECh. 17.5 - Prob. 48ECh. 17.5 - Prob. 49ECh. 17.5 - Prob. 50ECh. 17.5 - Prob. 51ECh. 17.5 - Prob. 52ECh. 17.5 - Prob. 53ECh. 17.5 - Prob. 54ECh. 17.5 - Prob. 55ECh. 17.5 - Prob. 56ECh. 17.6 - Prob. 1PECh. 17.6 - Prob. 2PECh. 17.6 - Prob. 1ECh. 17.6 - Prob. 2ECh. 17.6 - Prob. 3ECh. 17.6 - Prob. 4ECh. 17.6 - Prob. 5ECh. 17.6 - Prob. 6ECh. 17.6 - Prob. 7ECh. 17.6 - Prob. 8ECh. 17.6 - Prob. 9ECh. 17.6 - Prob. 10ECh. 17.6 - Prob. 11ECh. 17.6 - Prob. 12ECh. 17.6 - Prob. 13ECh. 17.6 - Prob. 14ECh. 17.6 - Prob. 15ECh. 17.6 - Prob. 16ECh. 17.6 - Prob. 17ECh. 17.6 - Prob. 18ECh. 17.6 - Prob. 19ECh. 17.6 - In Exercises 17–22, solve the given linear...Ch. 17.6 - Prob. 21ECh. 17.6 - Prob. 22ECh. 17 - Prob. 1RECh. 17 - Prob. 2RECh. 17 - Prob. 3RECh. 17 - Prob. 4RECh. 17 - Prob. 5RECh. 17 - Prob. 6RECh. 17 - Prob. 7RECh. 17 - Prob. 8RECh. 17 - Prob. 9RECh. 17 - Prob. 10RECh. 17 - Prob. 11RECh. 17 - Prob. 12RECh. 17 - Prob. 13RECh. 17 - Prob. 14RECh. 17 - Prob. 15RECh. 17 - Prob. 16RECh. 17 - Prob. 17RECh. 17 - Prob. 18RECh. 17 - Prob. 19RECh. 17 - Prob. 20RECh. 17 - Prob. 21RECh. 17 - Prob. 22RECh. 17 - Prob. 23RECh. 17 - Prob. 24RECh. 17 - Prob. 25RECh. 17 - Prob. 26RECh. 17 - Prob. 27RECh. 17 - Prob. 28RECh. 17 - Prob. 29RECh. 17 - Prob. 30RECh. 17 - Prob. 31RECh. 17 - Prob. 32RECh. 17 - Prob. 33RECh. 17 - Prob. 34RECh. 17 - Prob. 35RECh. 17 - Prob. 36RECh. 17 - Prob. 37RECh. 17 - Prob. 38RECh. 17 - Prob. 39RECh. 17 - Prob. 40RECh. 17 - Prob. 41RECh. 17 - Prob. 42RECh. 17 - Prob. 43RECh. 17 - Prob. 44RECh. 17 - Prob. 45RECh. 17 - Prob. 46RECh. 17 - Prob. 47RECh. 17 - Prob. 48RECh. 17 - Prob. 49RECh. 17 - Prob. 50RECh. 17 - Prob. 51RECh. 17 - Prob. 52RECh. 17 - Prob. 53RECh. 17 - Prob. 54RECh. 17 - Prob. 55RECh. 17 - Prob. 56RECh. 17 - Prob. 57RECh. 17 - Prob. 58RECh. 17 - Prob. 59RECh. 17 - Prob. 60RECh. 17 - Prob. 61RECh. 17 - Prob. 62RECh. 17 - Prob. 63RECh. 17 - Prob. 64RECh. 17 - Prob. 65RECh. 17 - Prob. 66RECh. 17 - Prob. 67RECh. 17 - Prob. 68RECh. 17 - Prob. 69RECh. 17 - Prob. 70RECh. 17 - Prob. 71RECh. 17 - Prob. 72RECh. 17 - Prob. 73RECh. 17 - Prob. 74RECh. 17 - Prob. 75RECh. 17 - Prob. 76RECh. 17 - Prob. 77RECh. 17 - Prob. 78RECh. 17 - Prob. 79RECh. 17 - Prob. 80RECh. 17 - Prob. 81RECh. 17 - Prob. 82RECh. 17 - Prob. 83RECh. 17 - Prob. 84RECh. 17 - Prob. 85RECh. 17 - Prob. 86RECh. 17 - Prob. 87RECh. 17 - Prob. 88RECh. 17 - Prob. 89RECh. 17 - Prob. 90RECh. 17 - Prob. 91RECh. 17 - Prob. 1PTCh. 17 - Prob. 2PTCh. 17 - Prob. 3PTCh. 17 - Prob. 4PTCh. 17 - Prob. 5PTCh. 17 - Prob. 6PTCh. 17 - Prob. 7PTCh. 17 - Prob. 8PTCh. 17 - Prob. 9PTCh. 17 - Prob. 10PTCh. 17 - Prob. 11PTCh. 17 - Prob. 12PTCh. 17 - Prob. 13PTCh. 17 - Prob. 14PT
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