Consider an animal population P(t) with constant death rate 8 = 0.01 (deaths per animal per month) and with birth rate B proportional to P. Suppose that P(0) = 200 and P'(0) = 2. (a) When is P = 1000? (b) When does doomsday occur?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 61SE: The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012,...
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Consider an animal population P(t) with constant death
rate 8 = 0.01 (deaths per animal per month) and with birth
rate B proportional to P. Suppose that P(0) = 200 and
P'(0) = 2. (a) When is P = 1000? (b) When does
doomsday occur?
Transcribed Image Text:Consider an animal population P(t) with constant death rate 8 = 0.01 (deaths per animal per month) and with birth rate B proportional to P. Suppose that P(0) = 200 and P'(0) = 2. (a) When is P = 1000? (b) When does doomsday occur?
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