Consider the model dP dt = 5P+ 10P², where P (t) represents the size of the population at time t. (3.1) Is this a logistic model? Justify your answer! (3.2) Draw a phase line of the model. (3.3) Draw a sketch of the solution curve P (t), if P (0) = 5.

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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Consider the model
dP
dt
=
5P+ 10P²,
where P (t) represents the size of the
population at time t.
(3.1) Is this a logistic model? Justify your
answer!
(3.2) Draw a phase line of the model.
(3.3) Draw a sketch of the solution curve P
(t), if P (0) = 5.
Transcribed Image Text:Consider the model dP dt = 5P+ 10P², where P (t) represents the size of the population at time t. (3.1) Is this a logistic model? Justify your answer! (3.2) Draw a phase line of the model. (3.3) Draw a sketch of the solution curve P (t), if P (0) = 5.
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