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 dt În (½)² cln where c is a constant and K is the carrying capacity. Answer the following questions. 1. Solve the differential equation with a constant c = 0.05, carrying capacity K = 4000, and initial population Po = 500. Answer: P(t) = 2. With c = 0.05, K = 4000, and P₁ = 500, find lim P(t). t-100 Limit:

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