A population is modeled by a function P that satisfies the logistic differential equation (see attached picture).?

a) If P(0) = 3, what is lim (x-->inf) P(t)?

If P(0) = 20, what is lim (x-->inf) P(t)?
b) If P(0) = 3, for what value of P is the population growing the fastest?

2017-04-11T00:37:33.809Z

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