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When in the year the population is a maximum what is that

Question: With t in years, the population of a herd of deer is represented by

P(t) = 4000 + 500 sin(2Πt - (Π/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?

(d) How fast is the population changing on July 1?

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Mathematics: When in the year the population is a maximum what is that

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