Assuming $P0,$ suppose that a population developn acconding to the logistic equation

$\frac{dP}{dt}=0\mathrm{.}08P-0\mathrm{.}004P^2$

where in measured in weeks. Arswer the following question.

The carrymg copacty in the lime lim $P(1)$ of the population site atter a very long the whut a the carryeg capacing?

Correro Capaity $-$

$$ k $-$

$$

Tor what whest of $P$ is the population increasiva?

Answer in $$ notation: $$ E

$4.$ For what values of P is the population decreasing?

Answer in $$ hatp $($interval$)$ neustons: $(1)$