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?
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
Problem 9T
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd995f1a0-b392-4129-86d5-33b065590456%2Fe73b2a04-6118-4ff0-ba85-f6f9eeaa4545%2Fsa76ixb.png&w=3840&q=75)
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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