Another model for a growth function for a limited population is given by the Gompertz function, which is a solution to the differential equation dP K = cln)P dt P where c is a constant and K is the carrying capacity. Answer the following questions. 1. Solve the differential equation with a constant c = 0.15, carrying capacity K = 3000, and initial population Po = 500. Answer: P(t) = %3D %3D 2. With c = 0.15, K = 3000, and Po = 500, find lim P(t). t+00 Limit: 3000

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