Mean Value Theorem and the police A slave patrol officer

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Problem 30E Chapter 4.6

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 30E

Mean Value Theorem and the police ?A slave patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another officer 30 mi along the highway. When the car reached the location of the second officer 30 min later, it was clocked going 60 mi/hr. Can the patrol officer conclude that the driver exceeded the speed limit?

Step-by-Step Solution:

Solution 30E Step 1 We are given that, a first patrol officer saw a car start from rest at a highway. She radioed ahead to another patrol officer 30 mi along the highway. When the car reached the location of the second officer 30min later, it was clocked going 60 mi/hr. We have to find can the officer conclude that the driver exceeded the speed limit. Step 2 Consider the place of first patrol officer to be f(a) = 0 mi Let the place of second patrol officer to be f(b) = 30 mi Consider the time to be a = 0 min = 0 hrat f(a) = 0 mi 60 30 And the time to be b = 30 min = 60 hrat f(b) = 30 mi The pictorial representation of the problem is shown below

Step 3 of 3

Chapter 4.6, Problem 30E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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