# a population p(t) is changing at a rate of P(t)=10,000e^(-t/4) with t in years. If the population is initially 80,000 at t=0, how large is the population as t--> + infinity

Eric Bizzell | Certified Educator

briefcaseTeacher (K-12)

calendarEducator since 2011

starTop subjects are Math, Science, and Business

The rate of change of a function is the first derivative of the function.

If p(t) is the population function, then `p'(t)=P(t)=10000e^(- t /4)`

To find the population function we integrate P(t) with...

(The entire section contains 122 words.)