Explanation The average value of a velocity function should be the same as the average rate of change of the corresponding position function. Let, v ( t ) be the velocity function from time a to b seconds. Let, s ( t ) be the position function. So, 1 b − a ∫ a b v ( t ) d t = s ( b ) − s ( a</

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Exponential Growth Model

The relation that represents an exponential function is:

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Question

Chapter 4.5, Problem 7C

To determine

To state: the intuition suggests that the signed area under the velocity graph on an interval is equal to the difference in the position function on that interval, and tell what this has to do with the fundamental theorem of calculus.

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Chapter 4.5, Problem 6C

Chapter 4.5, Problem 8C

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Chapter 4 Solutions

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To state: the intuition suggests that the signed area under the velocity graph on an interval is equal to the difference in the position function on that interval, and tell what this has to do with the fundamental theorem of calculus.

Solution Summary: The author explains that intuition suggests that the signed area under the velocity graph on an interval is equal to the difference in the position function on that interval.

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To state: the intuition suggests that the signed area under the velocity graph on an interval is equal to the difference in the position function on that interval, and tell what this has to do with the fundamental theorem of calculus.

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