Question: The population of a herd of deer is modeled by
P(t) = 4000 + 400 sin(Π/6)t + 180 sin(Π/3)t
where t is measured in months from the first of April.
(a) Use a calculator or computer to sketch a graph showing how this population varies with time. Use the graph to answer the following questions.
(b) When is the herd largest? How many deer are in it at that time?
(c) When is the herd smallest? How many deer are in it then?
(d) When is the herd growing the fastest? When is it shrinking the fastest?
(e) How fast is the herd growing on April 1?