2. The population of elk in a national park is given by the function1000P(t) =1+15e-3t'where t is the time in decades since 1960.Calculate P'(3). What does it represent? What will happen to theelk population in the long run? Justify your answer.

This question can be solved using the concept of differentiation and limits.

Answered: The population of elk in a national…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 38CT

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The population of elk in a national park is given by the function 1000 P(t) = 1+15e-3t where t is the time in decades since 1960. Calculate P'(3). What does it represent? What will happen to the elk population in the long run? Justify your answer.