Kayla Murray: Created page with " A population grows at a rate :: $P'(t)=500e^{-t}$ where $P(t)$ is the p..."

2017-11-20T17:59:27Z

Created page with " A population grows at a rate ::<math>P'(t)=500e^{-t}</math> where <math style="vertical-align: -5px">P(t)</math> is the p..."

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A population grows at a rate

::<math>P'(t)=500e^{-t}</math>

where  <math style="vertical-align: -5px">P(t)</math>  is the population after  <math style="vertical-align: 0px">t</math>  months.

(a)   Find a formula for the population size after  <math style="vertical-align: 0px">t</math>  months, given that the population is  <math style="vertical-align: 0px">2000</math>  at  <math style="vertical-align: 0px">t=0.</math>

(b)   Use your answer to part (a) to find the size of the population after one month.
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[[007B Sample Midterm 1, Problem 2 Solution|'''Solution''']]

[[007B Sample Midterm 1, Problem 2 Detailed Solution|'''Detailed Solution''']]

[[007B_Sample_Midterm_1|'''Return to Sample Exam''']]

007B Sample Midterm 1, Problem 2 - Revision history

Kayla Murray: Created page with " A population grows at a rate ::P'(t)=500e^{-t} where P(t) is the p..."

Kayla Murray: Created page with " A population grows at a rate :: $P'(t)=500e^{-t}$ where $P(t)$ is the p..."