a. Find the carrying capacity C. b. Find the constant k. c. What is the population at the time when the population is growing the fastest?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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4. A population is modeled by a function P that satisfies the logistic differential equation
dP P
P
dt
8
12.
a. Find the carrying capacity C.
b. Find the constant k.
1
c. What is the population at the time when the population is growing the fastest?
d. Find the logistic model P(t) given an initial condition P(0) = 3.
Transcribed Image Text:4. A population is modeled by a function P that satisfies the logistic differential equation dP P P dt 8 12. a. Find the carrying capacity C. b. Find the constant k. 1 c. What is the population at the time when the population is growing the fastest? d. Find the logistic model P(t) given an initial condition P(0) = 3.
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