A population of squirrels lives in a forest with a carrying capacity of 1400. Assume logistic growth with growth constant $k = 0.7 \, \text{yr}^{-1}$.

(a) Find a formula for the squirrel population $P(t)$, assuming an initial population of 350 squirrels.
$P(t) =$

(b) How long will it take for the squirrel population to double?
doubling time $\approx$ years