Explanation Given: Mr. R. enters the toll way at mile 0 at 12 : 17 P .M . and R. exited at mile 115 at 1 : 52 P .M . . Concept used: The mean value theorem: The mean value theorem states that if the function f is continuous on the interval [ a , b ] and differentiable on the interval ( a , b ) then a number c exists in the interval such that the slope at c can be expressed as follows: f ′ ( c ) = f ( b ) − f ( a ) b − a …… (1) Calculation: The total time taken by R. from 12 : 17 P .M . to 1 : 52 P .M . is 95 min . In an hour there are 60 minutes . 60 minute = 1 hour Convert 95 minute in to hours as shown below. 95 minute = 95 60 hours =1 .583 hours At 12 : 17 P

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 4.3, Problem 63E

To determine

To explain:

The use of Mean Value Theorem that support the claim that Mr. R. must have gone more than 70 miles per hour at some point.

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Chapter 4.3, Problem 62E

Chapter 4.3, Problem 64E

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Chapter 4 Solutions

Calculus: Early Transcendentals

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Prob. 63CRE Ch. 4 - Prob. 64CRE Ch. 4 - Prob. 65CRE Ch. 4 - Prob. 66CRE Ch. 4 - Prob. 67CRE Ch. 4 - Prob. 68CRE Ch. 4 - Prob. 69CRE Ch. 4 - Prob. 70CRE Ch. 4 - Prob. 71CRE Ch. 4 - Prob. 72CRE Ch. 4 - Prob. 73CRE Ch. 4 - Prob. 74CRE Ch. 4 - Prob. 75CRE Ch. 4 - Prob. 76CRE Ch. 4 - Prob. 77CRE Ch. 4 - Prob. 78CRE Ch. 4 - Prob. 79CRE Ch. 4 - Prob. 80CRE Ch. 4 - Prob. 81CRE Ch. 4 - Prob. 82CRE Ch. 4 - Prob. 83CRE Ch. 4 - Prob. 84CRE Ch. 4 - Prob. 85CRE Ch. 4 - Prob. 86CRE Ch. 4 - Prob. 87CRE Ch. 4 - Prob. 88CRE Ch. 4 - Prob. 89CRE

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The use of Mean Value Theorem that support the claim that Mr. R. must have gone more than 70 miles per hour at some point.

Solution Summary: The author explains the use of Mean Value Theorem that support the claim that Mr. R. must have gone more than 70miles per hour at some point.

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To explain: The use of Mean Value Theorem that support the claim that Mr. R. must have gone more than 70 miles per hour at some point.

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To explain:

The use of Mean Value Theorem that support the claim that Mr. R. must have gone more than 70 miles per hour at some point.