OMSDAY SITUATION The population of of rabbits introduced onto an isolated island is giv- P(t) = 72 9-t (0 ≤ t < 9) where t is measured in months. a. Find the number of rabbits present on the islan tially (at t = 0).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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82. A DOOMSDAY SITUATION The population of a certain breed
of rabbits introduced onto an isolated island is given by
P(t)
=
72
9-t
(0 ≤t<9)
where t is measured in months.
a. Find the number of rabbits present on the island ini-
tially (at t = 0).
b.
Show that the population of rabbits is increasing with-
out bound.
c.
Sketch the graph of the function P.
(Comment: This phenomenon is referred to as a
doomsday situation.)
Transcribed Image Text:82. A DOOMSDAY SITUATION The population of a certain breed of rabbits introduced onto an isolated island is given by P(t) = 72 9-t (0 ≤t<9) where t is measured in months. a. Find the number of rabbits present on the island ini- tially (at t = 0). b. Show that the population of rabbits is increasing with- out bound. c. Sketch the graph of the function P. (Comment: This phenomenon is referred to as a doomsday situation.)
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