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63. Population growth. The city of New River had a popu- lation of 17,000 in 2002 (t = 0) with a continuous growth rate of 1.75% per year. a) Write the differential equation that represents P(t), the population of New River aftert years. b) Find the particular solution of the differential equation from part (a). c) Find P(10) and P'(10). d) Find P'(10)/P(10), and explain what this number

63. Population growth. The city of New River had a popu- lation of 17,000 in 2002 (t = 0) with a continuous growth rate of 1.75% per year. a) Write the differential equation that represents P(t), the population of New River aftert years. b) Find the particular solution of the differential equation from part (a). c) Find P(10) and P'(10). d) Find P'(10)/P(10), and explain what this number

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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63. Population growth. The city of New River had a popu- lation of 17,000 in 2002 (t = 0) with a continuous growth rate of 1.75% per year. a) Write the differential equation that represents P(t), the population of New River aftert years. b) Find the particular solution of the differential equation from part (a). c) Find P(10) and P'(10). d) Find P'(10)/P(10), and explain what this number
Transcribed Image Text:63. Population growth. The city of New River had a popu- lation of 17,000 in 2002 (t = 0) with a continuous growth rate of 1.75% per year. a) Write the differential equation that represents P(t), the population of New River aftert years. b) Find the particular solution of the differential equation from part (a). c) Find P(10) and P'(10). d) Find P'(10)/P(10), and explain what this number
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