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P: population function dP = kP 1 - M: dt M. carrying capacity k: relative growth rate M P(t) = M-Po 1+Ae-kt Where A =

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P: population function dP = kP 1 - M: dt M. carrying capacity k: relative growth rate M P(t) = M-Po 1+Ae-kt Where A = Po: the initail population Po Suppose a population P(t) satisfies dP dt = 0.4P - 0.001p2 P(0) = 50 where t is measured in years. SHOW ALL OF YOUR WORK. (a) What is the carrying capacity? (b)What is P'(0)

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