(1 point) Another model for a growth function for a limited population is given by the Gompertz function, which is a solution of the differential equation dP K where is a constant and K is the carrying capacity. (a) Solve this differential equation for = 0.25, K = 4000, and initial population Py = 200. P(t) = (b) Compute the limiting value of the size of the population. lim P() = 4000 4. | - (c) At what value of P does P grow fastest? P =