With t in years, the population of a herd of deer is represented by
![2128_32ffdfde-f634-4f08-94e7-c4cea6b06fa5.png](https://secure.tutorsglobe.com/CMSImages/2128_32ffdfde-f634-4f08-94e7-c4cea6b06fa5.png)
(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?