4. The logistic model describes population growth proportional to the carrying capacity by the function P' (t) et (1+et) ². Solve for the population function P(t), using the initial condition P (0) = 1/2.
4. The logistic model describes population growth proportional to the carrying capacity by the function P' (t) et (1+et) ². Solve for the population function P(t), using the initial condition P (0) = 1/2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Transcribed Image Text:4. The logistic model describes population growth proportional to the carrying capacity by the function
et
(1 + et )²°
Solve for the population function P (t), using the initial condition P (0) = 1/2.
P' (t) =
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