Explanation Given information: Concept used: The equation of the line p ′ ( t ) = m t + c Here, t intercept is c units and slope is m . Calculation: From the figure, observe that P ( t ) is the population and P ' ( t ) is the rate of population growth. So, the slope of the line is, Slope = a b = 0.45 − 0.33 20 = 0.006 The equation of the line is, P ' ( t ) = 0.006 t + C Substitute t = 20 in P ' ( t ) = 0.006 t + C . P ' ( 20 ) = 0.006 ( 20 ) + C 0.45 = 0.12 + C C = 0.33 Therefore P ' ( t ) = 0.006 t + 0.33 . Integrate P ' ( t ) = 0

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 5.5, Problem 4P

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To find the change in population between 1970 and 1990.

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Chapter 5 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

Ch. 5.1 - Prob. 1P Ch. 5.1 - Prob. 2P Ch. 5.1 - Prob. 3P Ch. 5.1 - Prob. 4P Ch. 5.1 - Prob. 5P Ch. 5.1 - Prob. 6P Ch. 5.1 - Prob. 7P Ch. 5.1 - Prob. 8P Ch. 5.1 - Prob. 9P Ch. 5.1 - Prob. 10P

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To find the change in population between 1970 and 1990 .

Solution Summary: The author explains how to find the change in population between 1970and 1990. The equation of the line is pprime(t)=mt+c and

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Chapter 5 Solutions