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RE 3 2 Population growth Suppose p(t) = 1.7t + 72t + 7200t

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 63RE Chapter 3

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 63RE

RE 3 2 Population growth? Suppose ?p?(?t?) = ?1.7t + 72t + 7200t ? ? + 80,000 is the population of a City t? ?years after 1950. a.? Determine the average rate of growth of the city from 1950 to 2000. b.? What was the rate of growth of the city in 1990?

Step-by-Step Solution:

Solution Step 1: 3 2 Suppose ) = 1.7t + 72t + 7200t + 80,000 is the population of a City t years after 1950. (a) The average rate of the growth of the city from 1950 to 2000 is given by p(50)p(0) [p(t) is t years after 1950] 50 Now p(50)= 1.7(50) + 72(50) + 7200(50)+ 80,000 =407500 p(0)=1.7 (0) + 72 (0) + 7200( 0)+ 80,000 =80000 Therefore p(50)p(0= 40750080000)= 327500=6500 people /year 50 50 50

Step 2 of 2

Chapter 3, Problem 63RE is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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RE 3 2 Population growth Suppose p(t) = 1.7t + 72t + 7200t

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