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Another model for a growth function for a limited population is given by the Gompertz function, which is a solution of differential equation (dP)/(dt) = c ln((M)/(P))P where c is a constant and M is the carrying capacity. (a) Solve this differential equation. (b) Compute lim t →∞ P(t). (c) Graph the Gompertz growth function for M = 1000, P0 = 100, and c = 0.05, and compare it with the logistic function in Example 2. What are the similarities? What are differences? (d) We know from Exercise 13 th
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