Question 3 The population size r(t) in the logistic equation dz ¤(1– 0.5z) dt is evaluated from the equation z(t) = ce (a) Find all the value(s) of c when the initial population is r(0) = 0.2 (b) Evaluate the population after 5 years with the value of c found in Part (a).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 61SE: The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012,...
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Question 3
The population size (t) in the logistic equation
da
= r(1–0.5z)
dt
is evaluated from the equation
z(t) -
ce-t +1
(a) Find all the value(s) of c when the initial population is r(0) =0.2
(b) Evaluate the population after 5 years with the value of e found in Part (a).
Transcribed Image Text:Question 3 The population size (t) in the logistic equation da = r(1–0.5z) dt is evaluated from the equation z(t) - ce-t +1 (a) Find all the value(s) of c when the initial population is r(0) =0.2 (b) Evaluate the population after 5 years with the value of e found in Part (a).
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