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8 A population grows at a rate P'(t) = 200t e where P(t) is the population after t months. a. Find a formula for the population size after t months, given that the population is 4000 at t=0. b. Use the answer from part a to find the size of the population after 4 months. a. Find a formula for the population size after t months, given that the population is 4000 at t = 0. P(t) = (Type an exact answer in terms of e.)

8 A population grows at a rate P'(t) = 200t e where P(t) is the population after t months. a. Find a formula for the population size after t months, given that the population is 4000 at t=0. b. Use the answer from part a to find the size of the population after 4 months. a. Find a formula for the population size after t months, given that the population is 4000 at t = 0. P(t) = (Type an exact answer in terms of e.)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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K A population grows at a rate P'(t)=200t e (-5). , where P(t) is the population after t months. a. Find a formula for the population size after t months, given that the population is 4000 at t = 0. b. Use the answer from part a to find the size of the population after 4 months. a. Find a formula for the population size after t months, given that the population is 4000 at t = 0. P(t) = (Type an exact answer in terms of e.)
Transcribed Image Text:K A population grows at a rate P'(t)=200t e (-5). , where P(t) is the population after t months. a. Find a formula for the population size after t months, given that the population is 4000 at t = 0. b. Use the answer from part a to find the size of the population after 4 months. a. Find a formula for the population size after t months, given that the population is 4000 at t = 0. P(t) = (Type an exact answer in terms of e.)
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