Explanation Given information: M w = 2 3 log 10 E − 10.7 relating to the moment magnitude of an earthquake and the energy E released by it. Formula used a n = a n log e a Calculation: Consider the given equation as shown To determine (b) To prove: M w increases by 1 the energy increases by a factor of approximately 31.6 .

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 1.6, Problem 42E

To determine

(a)

Express E as a function of Mw by considering the equation Mw=23log10E−10.7.

To determine

(b)

To prove:

Mw increases by 1 the energy increases by a factor of approximately 31.6.

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Chapter 1.6, Problem 41E

Chapter 1.6, Problem 43E

Chapter 1 Solutions

Calculus: Early Transcendentals

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - 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(a) Express E as a function of M w by considering the equation M w = 2 3 log 10 E − 10.7 .

Solution Summary: The author explains the expression of E as a function of M_w by considering the equation

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(a)

Express E as a function of Mw by considering the equation Mw=23log10E−10.7.

(b)

To prove:

Mw increases by 1 the energy increases by a factor of approximately 31.6.

Want to see the full answer?

Chapter 1 Solutions

(a) Express E as a function of M w by considering the equation M w = 2 3 log 10 E − 10.7 .

Solution Summary: The author explains the expression of E as a function of M_w by considering the equation

Concept explainers

Videos

(a) Express E as a function of Mw by considering the equation Mw=23log10E−10.7.

(b) To prove: Mw increases by 1 the energy increases by a factor of approximately 31.6.

Want to see the full answer?

Chapter 1 Solutions

(a)

Express E as a function of Mw by considering the equation Mw=23log10E−10.7.

(b)

To prove:

Mw increases by 1 the energy increases by a factor of approximately 31.6.