Solve the problem. dP The rate of growth of a population P is given by t =kP+N, where N is a constant representing the net increase in population per unit time resulting from the difference between immigration and emigration. Solve to find P as a function of time if at time t=0 the population is Po P-Po - Jakt- B) P=(Po+N)ekt - N P = Poekt - N P. -Po - in kt - N

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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4.
Solve the problem.
dP
The rate of growth of a population P is given by at
unit time resulting from the difference between immigration and emigration. Solve to find P as a function of time if at time t=0 the
population is Po.
P-Po - Jakt-
B) P=(Po+N)ekt - N
P=Poekt N
A
℗
= kP+N, where N is a constant representing the net increase in population per
P = (Po + #inkt - V
k
Transcribed Image Text:Solve the problem. dP The rate of growth of a population P is given by at unit time resulting from the difference between immigration and emigration. Solve to find P as a function of time if at time t=0 the population is Po. P-Po - Jakt- B) P=(Po+N)ekt - N P=Poekt N A ℗ = kP+N, where N is a constant representing the net increase in population per P = (Po + #inkt - V k
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