Starting with an initial value of P(0)equals50, the population of a prairie dog community grows at a rate of Pprime(t)equals20minusStartFraction t Over 5 EndFraction
(in units of prairie dogs/month), for 0less than or equalstless than or equals100.
a. What is the population 9 months later?
b. Find the population P(t) for 0less than or equalstless than or equals100.