007B Sample Midterm 1, Problem 2

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A population grows at a rate

P'(t)=500e^{-t}

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 $2000$ at $t=0.$

(b) Use your answer to part (a) to find the size of the population after one month.

Detailed Solution

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