With t in years, the population of a herd of deer is represented by P(t) = 4000 + 500

Chapter 3, Problem 60

(choose chapter or problem)

With t in years, the population of a herd of deer is represented by P(t) = 4000 + 500 sin 2t 2 . (a) How does this population vary with time? Graph P(t) for one year. (b) When in the year the population is a maximum? What is that maximum? Is there a minimum? If so, when? (c) When is the population growing fastest? When is it decreasing fastest? (d) How fast is the population changing on July 1?

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