# math

posted by
**todi**
.

a wild preserve can support no more than 250 gorillas.

how long will it take for the gorilla population to reach the carrying capacity of the preserve

dp/dt = 0.0004P(250-P) and

p = (250)/(1+7.929e^-.1t)

show that the function is a solution of a logistic differential equation. identify k and the carrying capacity. estimate p(0).

a population of rabbits is given by the formula

P(t) = 1000/(1+e^(4.8-0.7t))