5 Deer population A herd of 100 deer is introduced onto a small island. At first the herd increases rapidly, but eventu- ally food resources dwindle and the population declines. Suppose that the number N(t) of deer after t years is given by N(t) = -t + 21r2 + 100, where t> 0. (a) Determine the values of t for which N(t) > 0, and sketch the graph of N. (b) Does the population become extinct? If so, when?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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5 Deer population A herd of 100 deer is introduced onto a
small island. At first the herd increases rapidly, but eventu-
ally food resources dwindle and the population declines.
Suppose that the number N(t) of deer after t years is given
by N(t) = -t + 21r2 + 100, where t> 0.
(a) Determine the values of t for which N(t) > 0, and
sketch the graph of N.
(b) Does the population become extinct? If so, when?
Transcribed Image Text:5 Deer population A herd of 100 deer is introduced onto a small island. At first the herd increases rapidly, but eventu- ally food resources dwindle and the population declines. Suppose that the number N(t) of deer after t years is given by N(t) = -t + 21r2 + 100, where t> 0. (a) Determine the values of t for which N(t) > 0, and sketch the graph of N. (b) Does the population become extinct? If so, when?
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