Question

question, from calculus II.

Answer 1

The growth of the population of bears during a given year P(t) varies with a logistic model with k=0.2 and a carrying capacity of 300. So it has the following differential equation.

\({\Large\displaystyle \frac{ {\rm d}P }{ {\rm d}t}= \frac{P }{5}\left(1-\frac{P }{300}\right) }\)

Answer 2

If initially there were 30 bears, approximately how many will there be in 10 years?

Answer 3

integrate with respect to t

Answer 4

my problem is, what is 30 bears, is it that P=30 , at t=0, so my initial point is (0,30)
as in (t,P) coordinates ?