2) A population P obeys the logistic model. It satisfies the equation dP dt 900 P(9 – P) (a) Determine the range of values of P for which the population is increasing and the range for which the population is decreasing.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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2) A population P obeys the logistic model. It satisfies the equation
dP
7
dt
P(9 – P)
900
(a) Determine the range of values of P for which the population is increasing and the range for which the population
is decreasing.
(b) Assume that P(0) = 4. Find an expression for the population.
as a function of time t.
Transcribed Image Text:2) A population P obeys the logistic model. It satisfies the equation dP 7 dt P(9 – P) 900 (a) Determine the range of values of P for which the population is increasing and the range for which the population is decreasing. (b) Assume that P(0) = 4. Find an expression for the population. as a function of time t.
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