Question

question

Answer 1

The growth rate of the population of bears during a given year P(t) varies with logistic model with \(\large k=0.2\) and a carrying capacity of \(\large 300\).

So it has the following differential equation. \(\large\displaystyle \frac{dP}{dt}=\frac{P}{5}\left(1-\frac{P}{300}\right)\)

Answer 2

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

Answer 3

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