preserve is modeled by the differential equation dP/dt-0.008P(100 - P), where t is measured in years. (a) What is the carrying capacity for bears in this wildlife preserve? (b) What is the bear population when the population is growing the fastest? (c) What is the rate of change of the population when it is growing the JI ,S fastest?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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preserve is
modeled by the differential equation dP/dt-0.008P(100 - P), where t is
measured in
years.
%3D
(a) What is the carrying capacity for bears in this wildlife preserve?
(b) What is the bear population when the population is growing the
fastest?
(c) What is the rate of change of the population when it is growing the
fastest?
Transcribed Image Text:preserve is modeled by the differential equation dP/dt-0.008P(100 - P), where t is measured in years. %3D (a) What is the carrying capacity for bears in this wildlife preserve? (b) What is the bear population when the population is growing the fastest? (c) What is the rate of change of the population when it is growing the fastest?
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