Suppose that a certain population obeys the logistic

Chapter 2, Problem 15

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Suppose that a certain population obeys the logistic equation dy/dt = ry[1 (y/K)].(a) If y0 = K/3, find the time at which the initial population has doubled. Find the valueof corresponding to r = 0.025 per year.(b) If y0/K = , find the time T at which y(T)/K = , where 0 < , < 1. Observe thatT as 0 or as 1. Find the value of T for r = 0.025 per year, = 0.1, and = 0.9.

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