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?

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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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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