# 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 d P d t = k P cos ( r t − ϕ ) P ( 0 ) = P 0 (b) where k , r , and ϕ are positive constants. (c) By graphing the solution for several values of k , r , and ϕ , explain how the values of k , r , and ϕ affect the solution. What can you say about lim t → ∞ P ( t )?

### Single Variable Calculus

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781305266636

### Single Variable Calculus

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781305266636

#### Solutions

Chapter 9.4, Problem 23E
Textbook Problem

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