The population of a herd of deer is modeled byP(t) = 4000 + 400 sin 6t+ 180 sin 3twhere

Chapter 2, Problem 63

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The population of a herd of deer is modeled byP(t) = 4000 + 400 sin 6t+ 180 sin 3twhere t is measured in months from the first of April.(a) Use a calculator or computer to sketch a graph showinghow 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 atthat time?(c) When is the herd smallest? How many deer are in itthen?(d) When is the herd growing the fastest? When is itshrinking the fastest?(e) How fast is the herd growing on April 1?

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