Question

6. A population of deer in a specific location is given by the equation below, where isthe population in 1000s of deer and is the time in years. P(t)=2^{-t} \cos (2 \pi t)+8 What is the initial population?

b)Use limit laws and your knowledge of exponential and trigonometric functions to determine limit →∞ P (t).Explain in sentences any part that does not follow directly from a limit law.

C) What does your answer for #2 represent in terms of the scenario

D)How fast is the population changing after one year?

Fig: 1

Fig: 2

Fig: 3