Suppose that P(t) denotes the size of an animal population at time t and that the population gro

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1. We are given the logistic differential equation: dP/dt = 0.001P(1200 - P)

Suppose that P(t) denotes the size of an animal population at time t and that the population growth rate is modeled by the logistic differential equation dP/dt = 0.001P(1200 - P). For which of these is the population growing fastest? t = 0 P = 600 P = 1199 P'(t) = 0 P''(t) > 0