(a) The maximum carrying capacity of a park is 100 animals. Currently, there are 10 animals in the park. The growth rate of the park’s population is proportional to the relative growth rate (r), the excess carrying capacity of the park and the animal population (P). (i) DeterminethepopulationgrowthrateoftheparkintermsofrandP. (ii) Given r = 0.001, determine the solution to the differential equation. (iii)When will the park population reach 50?

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