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Estimate how fast the population is changing

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Reference no: EM131602336

Question: The population of a herd of deer is modeled by

P(t) = 4000 + 500 sin(2Πt - (Π/2))

where t is measured in years from January 1.

(a) How does this population vary with time? Sketch a graph of P(t) for one year.

(b) Use the graph to decide when in the year the population is a maximum. What is that maximum? Is there a minimum? If so, when?

(c) Use the graph to decide when the population is growing fastest. When is it decreasing fastest?

(d) Estimate roughly how fast the population is changing on the first of July.

Reference no: EM131602336

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