In a seasonal-growth model, a periodic function of time is introduced to account for seasonal variations in the rate of

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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 1 (37.13 KiB) Viewed 19 times

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 dP dt where k, r, and are positive constants. P = e = KP cos(rt - 4) P(0) = Por (b) By graphing the solution for several values of k, r, and o, explain how the values of k, r, and o affect the solution. As k increases, the amplitude stays the same, and the minimum value stays the same. As r increases, the amplitude decreases ✓and the period increases adjustments in the phase shift and period What can you say about lim P(t)? (If an answer does not exist, enter DNE.) t→∞0 lim P(t) = DNE t →∞o A change in produces slight