Answered: dp kp 1 dt 40 < p < 4000 4000

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.5: Multiplying Polynomials By Monimials

Problem 1WE

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A state game commission releases 40 elk into a game refuge. After 5 years, the elk population is 104. The commission believes that the environment can support no more than 4000 elk. The growth rate of the elk population p is given, where t is the number of years. a. Write a model for the elk population in terms of t. b. Graph the slope field for the differential equation and the solution that passes through the point (0, 40). c. Use the model to estimate the elk population after 15 years. d. Find the limit of the model as t ∞.

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