(Solution) - In a seasonal growth model a periodic function of time is -(2025 Original AI-Free Solution)

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In a seasonal-growth model, a periodic function of time is introduced to account for seasonal variations in the rate of growth. Such variations could, for example, be caused by seasonal changes in the availability of food.
(a) Find the solution of the seasonal-growth model where k, r, and ? are positive constants.

(b) By graphing the solution for several values of k, r, and ?, explains how the values of k, r, and ? affect the solution. What can you say about lim t?? P (t)?