Question: Suppose a population P(t) satisfies dP/dt = 0.4P - 0.001P 2 P(0) = 50 where t is measured in years. (a) What is the carrying

Suppose a population P(t) satisfies dP/dt = 0.4P - 0.001P² P(0) = 50 where t is measured in years.
(a) What is the carrying capacity?
(b) What is P'(0)?
(c) When will the population reach 50% of the carrying capacity?

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