Explanation It is given that the intensity I of sound varies directly as the power P of the source and inversely as the square of the distance r from the source. The equation for the above statement is given by, I = k P r 2 .. ( 1 ) Where P denotes the power of the source, r denotes the distance from the source, and k is the constant of proportionality. The intensity I for the first sound source is given by I 1 = k P 1 r 1 2 . The intensity I for the second sound source is given by I 2 = k P 2 r 2 2 Since the two sounds sources are separated by a distance d and one has twice the power input of the other, the above equation is rewritten as I 2 = k ( 2 P 1 ) ( d − r 1 ) 2 Equating I 1 and I 2 , the distance at which the observer is located is obtained as follows

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 18.2, Problem 60E

To determine

The distance at which the observer should be located on the line such that the intensity is same.

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Chapter 18.2, Problem 59E

Chapter 18.2, Problem 61E

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Chapter 18 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

Ch. 18.1 - Practice Exercise In a certain electric field a...Ch. 18.1 - Prob. 2PE Ch. 18.1 - Prob. 1E Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E Ch. 18.1 - Prob. 4E Ch. 18.1 - Prob. 5E Ch. 18.1 - Prob. 6E Ch. 18.1 - Prob. 7E Ch. 18.1 - Prob. 8E

Ch. 18.1 - Prob. 9E Ch. 18.1 - Prob. 10E Ch. 18.1 - Prob. 11E Ch. 18.1 - Prob. 12E Ch. 18.1 - Prob. 13E Ch. 18.1 - Prob. 14E Ch. 18.1 - Prob. 15E Ch. 18.1 - Prob. 16E Ch. 18.1 - In Exercises 11–26, find the required...Ch. 18.1 - Prob. 18E Ch. 18.1 - In Exercises 11–26, find the required...Ch. 18.1 - Prob. 20E Ch. 18.1 - Prob. 21E Ch. 18.1 - Prob. 22E Ch. 18.1 - Prob. 23E Ch. 18.1 - Prob. 24E Ch. 18.1 - Prob. 25E Ch. 18.1 - Prob. 26E Ch. 18.1 - Prob. 27E Ch. 18.1 - Prob. 28E Ch. 18.1 - Prob. 29E Ch. 18.1 - Prob. 30E Ch. 18.1 - Prob. 31E Ch. 18.1 - Prob. 32E Ch. 18.1 - Prob. 33E Ch. 18.1 - Prob. 34E Ch. 18.1 - Prob. 35E Ch. 18.1 - Prob. 36E Ch. 18.1 - Prob. 37E Ch. 18.1 - Prob. 38E Ch. 18.1 - Prob. 39E Ch. 18.1 - Prob. 40E Ch. 18.1 - Prob. 41E Ch. 18.1 - Prob. 42E Ch. 18.1 - Prob. 43E Ch. 18.1 - Prob. 44E Ch. 18.1 - Prob. 45E Ch. 18.1 - Prob. 46E Ch. 18.1 - Prob. 47E Ch. 18.1 - Prob. 48E Ch. 18.1 - Prob. 49E Ch. 18.1 - Prob. 50E Ch. 18.1 - Prob. 51E Ch. 18.1 - Prob. 52E Ch. 18.2 - Express the relationship that y varies directly as...Ch. 18.2 - Prob. 2PE Ch. 18.2 - Prob. 3PE Ch. 18.2 - Prob. 4PE Ch. 18.2 - Prob. 1E Ch. 18.2 - Prob. 2E Ch. 18.2 - Prob. 3E Ch. 18.2 - Prob. 4E Ch. 18.2 - Prob. 5E Ch. 18.2 - Prob. 6E Ch. 18.2 - Prob. 7E Ch. 18.2 - Prob. 8E Ch. 18.2 - Prob. 9E Ch. 18.2 - Prob. 10E Ch. 18.2 - Prob. 11E Ch. 18.2 - Prob. 12E Ch. 18.2 - Prob. 13E Ch. 18.2 - Prob. 14E Ch. 18.2 - Prob. 15E Ch. 18.2 - Prob. 16E Ch. 18.2 - Prob. 17E Ch. 18.2 - In Exercises 17–20, give the specific equation...Ch. 18.2 - Prob. 19E Ch. 18.2 - Prob. 20E Ch. 18.2 - Prob. 21E Ch. 18.2 - Prob. 22E Ch. 18.2 - Prob. 23E Ch. 18.2 - Prob. 24E Ch. 18.2 - Prob. 25E Ch. 18.2 - Prob. 26E Ch. 18.2 - Prob. 27E Ch. 18.2 - Prob. 28E Ch. 18.2 - Prob. 29E Ch. 18.2 - Prob. 30E Ch. 18.2 - Prob. 31E Ch. 18.2 - Prob. 32E Ch. 18.2 - Prob. 33E Ch. 18.2 - Prob. 34E Ch. 18.2 - Prob. 35E Ch. 18.2 - Prob. 36E Ch. 18.2 - Prob. 37E Ch. 18.2 - Prob. 38E Ch. 18.2 - Prob. 39E Ch. 18.2 - Prob. 40E Ch. 18.2 - Prob. 41E Ch. 18.2 - Prob. 42E Ch. 18.2 - Prob. 43E Ch. 18.2 - Prob. 44E Ch. 18.2 - In Exercises 31–64, solve the given applied...Ch. 18.2 - Prob. 46E Ch. 18.2 - Prob. 47E Ch. 18.2 - Prob. 48E Ch. 18.2 - Prob. 49E Ch. 18.2 - Prob. 50E Ch. 18.2 - Prob. 51E Ch. 18.2 - Prob. 52E Ch. 18.2 - Prob. 53E Ch. 18.2 - Prob. 54E Ch. 18.2 - Prob. 55E Ch. 18.2 - Prob. 56E Ch. 18.2 - Prob. 57E Ch. 18.2 - Prob. 58E Ch. 18.2 - Prob. 59E Ch. 18.2 - Prob. 60E Ch. 18.2 - Prob. 61E Ch. 18.2 - Prob. 62E Ch. 18.2 - Prob. 63E Ch. 18.2 - Prob. 64E Ch. 18 - Prob. 1RE Ch. 18 - Prob. 2RE Ch. 18 - Prob. 3RE Ch. 18 - Prob. 4RE Ch. 18 - Prob. 5RE Ch. 18 - Prob. 6RE Ch. 18 - Prob. 7RE Ch. 18 - Prob. 8RE Ch. 18 - Prob. 9RE Ch. 18 - Prob. 10RE Ch. 18 - Prob. 11RE Ch. 18 - Prob. 12RE Ch. 18 - Prob. 13RE Ch. 18 - Prob. 14RE Ch. 18 - Prob. 15RE Ch. 18 - Prob. 16RE Ch. 18 - Prob. 17RE Ch. 18 - Prob. 18RE Ch. 18 - Prob. 19RE Ch. 18 - Prob. 20RE Ch. 18 - Prob. 21RE Ch. 18 - In Exercises 21–36, answer the given questions by...Ch. 18 - Prob. 23RE Ch. 18 - Prob. 24RE Ch. 18 - Prob. 25RE Ch. 18 - Prob. 26RE Ch. 18 - Prob. 27RE Ch. 18 - Prob. 28RE Ch. 18 - Prob. 29RE Ch. 18 - Prob. 30RE Ch. 18 - Prob. 31RE Ch. 18 - Prob. 32RE Ch. 18 - Prob. 33RE Ch. 18 - Prob. 34RE Ch. 18 - Prob. 35RE Ch. 18 - Prob. 36RE Ch. 18 - Prob. 37RE Ch. 18 - Prob. 38RE Ch. 18 - Prob. 39RE Ch. 18 - Prob. 40RE Ch. 18 - Prob. 41RE Ch. 18 - Prob. 42RE Ch. 18 - Prob. 43RE Ch. 18 - Prob. 44RE Ch. 18 - Prob. 45RE Ch. 18 - Prob. 46RE Ch. 18 - Prob. 47RE Ch. 18 - Prob. 48RE Ch. 18 - Prob. 49RE Ch. 18 - Prob. 50RE Ch. 18 - Prob. 51RE Ch. 18 - Prob. 52RE Ch. 18 - Prob. 53RE Ch. 18 - Prob. 54RE Ch. 18 - Prob. 55RE Ch. 18 - In Exercises 41–82, solve the given applied...Ch. 18 - Prob. 57RE Ch. 18 - In Exercises 41–82, solve the given applied...Ch. 18 - Prob. 59RE Ch. 18 - Prob. 60RE Ch. 18 - Prob. 61RE Ch. 18 - Prob. 62RE Ch. 18 - Prob. 63RE Ch. 18 - Prob. 64RE Ch. 18 - Prob. 65RE Ch. 18 - Prob. 66RE Ch. 18 - Prob. 67RE Ch. 18 - Prob. 68RE Ch. 18 - Prob. 69RE Ch. 18 - Prob. 70RE Ch. 18 - Prob. 71RE Ch. 18 - Prob. 72RE Ch. 18 - Prob. 73RE Ch. 18 - Prob. 74RE Ch. 18 - Prob. 75RE Ch. 18 - Prob. 76RE Ch. 18 - Prob. 77RE Ch. 18 - Prob. 78RE Ch. 18 - Prob. 79RE Ch. 18 - Prob. 80RE Ch. 18 - Prob. 81RE Ch. 18 - Prob. 82RE Ch. 18 - Prob. 83RE Ch. 18 - Prob. 1PT Ch. 18 - Prob. 2PT Ch. 18 - Prob. 3PT Ch. 18 - Prob. 4PT Ch. 18 - Prob. 5PT Ch. 18 - Prob. 6PT Ch. 18 - Prob. 7PT

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