Question

6. A population grows at a rate P'(t) = 800te ^ (- (t ^ 2) / 3) , 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 5000 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 5000 at t = 0. P(t) = (Type an exact answer in terms of e.) b. The size of the population after 4 months is about people. (Round to the nearest person as needed.)

          6.
A population grows at a rate P'(t) = 800te ^ (- (t ^ 2) / 3) , 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 5000 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 5000 at t = 0.
P(t) =
(Type an exact answer in terms of e.)
b. The size of the population after 4 months is about people.
(Round to the nearest person as needed.)

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6.
A population grows at a rate P'(t) = 800te ^ (- (t ^ 2) / 3) , 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 5000 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 5000 at t = 0.
P(t) =
(Type an exact answer in terms of e.)
b. The size of the population after 4 months is about people.
(Round to the nearest person as needed.)

Added by Carol W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vishal Parmar

04/15/2022

Step 1

We are given the rate of population growth as \(P'(t) = 800te\), where \(P(t)\) represents the population size after \(t\) months. We are also told that the initial population size at \(t = 0\) is 5000. Show more…

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A population grows at a rate P'(t) = 800te^(-t²/3), 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 5000 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 5000 at t = 0. P(t) = (Type an exact answer in terms of e.) b. The size of the population after 4 months is about (Round to the nearest person as needed.) people.

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