dP = 0.000006P(3500 - P), where t is measured in The population of rabbits on an island is modeled by dt months. Suppose there were 60 rabbits at t 0. a) Find the particular solution P. b) What is the limiting population of rabbits? c) When does the population reach 90% of the limiting population?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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The population of rabbits on an island is modeled by
dt
dP
0.000006P(3500 – P), where t is measured in
months. Suppose there were 60 rabbits att 0.
a) Find the particular solution P.
b) What is the limiting population of rabbits?
c) When does the population reach 90% of the limiting population?
Transcribed Image Text:The population of rabbits on an island is modeled by dt dP 0.000006P(3500 – P), where t is measured in months. Suppose there were 60 rabbits att 0. a) Find the particular solution P. b) What is the limiting population of rabbits? c) When does the population reach 90% of the limiting population?
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