EBK PRECALCULUS W/LIMITS

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter 3.2, Problem 83E

To determine

the number of decibels of a sound with an intensity of 1 watt per square meter.

Expert Solution

Answer to Problem 83E

The number of decibels of a sound with an intensity of 1 watt per square meter is 120.

Explanation of Solution

Given:

The relationship between the number of decibels β and the intensity of a sound I (in watts per square meter) is β=10logI10−12

Calculation:

Put I=1 in β=10logI10−12

β=10log110−12=10log(1012)=10(12log(10))=10(12) (∵log(10)=1)=120

To determine

The number of decibels of a sound with an intensity of 10−2 watt per square meter.

Expert Solution

Answer to Problem 83E

The number of decibels of a sound with an intensity of 10−2 watt per square meter is 100.

Explanation of Solution

Given:

The relationship between the number of decibels β and the intensity of a sound I (in watts per square meter) is β=10logI10−12

Calculation:

Put I=10−2 in β=10logI10−12

β=10log10−210−12=10log(10−2−(−12))=10log(1010)=10(10log(10))=10(10) (∵log(10)=1)=100

To determine

To Find: the intensity of the sound in part (a) is 100 times as great as that in part (b). Is the number of decibels 100 times as great? Explain.

Expert Solution

Answer to Problem 83E

The number of decibels part (a) is not 100 times as great as that in part (b).

Explanation of Solution

Given:

The number of decibels of a sound with an intensity of 1 watt per square meter is 120 and the number of decibels of a sound with an intensity of 10−2 watt per square meter is 100.

Calculation:

Since the number of decibels of a sound with an intensity of 1 watt per square meter is 120 and the number of decibels of a sound with an intensity of 10−2 watt per square meter is 100.

The number of decibels part (a) is not 100 times as great as that in part (b).

Chapter 3.2, Problem 82E

Chapter 3.2, Problem 84E

Chapter 3 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.1 - Prob. 52E Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60E Ch. 3.1 - 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