The population of a herd of deer is modeled by
P(t) =4000 + 500sin(2πt - π/2)
where t is measured in years since Jan. 1

A) How does this population vary with time? sketch thegraph of P(t) for one year.
B) Use the graph to decide when in the yr the populationis a maximum. What is the maximum? Is there a minimum? If so,when?
C) Use the graph to decide when the population isgrowing fastest. When is it decreasing fastest?
D) Estimate roughly how fast the population is changingon the first of July.

Question

The population of a herd of deer is modeled by
P(t) =4000 + 500sin(2πt - π/2)
where t is measured in years since Jan. 1

A)  How does this population vary with time? sketch thegraph of P(t) for one year.
B)  Use the graph to decide when in the yr the populationis a maximum. What is the maximum? Is there a minimum? If so,when?
C)  Use the graph to decide when the population isgrowing fastest. When is it decreasing fastest?
D)  Estimate roughly how fast the population is changingon the first of July.