e inflection point on the graph and explain its significance for the rabbit population. ur answer to the nearest integer. ction point is approximately i years after Captain Cook left th with the population
e inflection point on the graph and explain its significance for the rabbit population. ur answer to the nearest integer. ction point is approximately i years after Captain Cook left th with the population
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:The rabbit population grew moOst rapidly apprOximately
years after Captain Cook left the rabbits on
island, when the population was
rabbits.
(c) Find the inflection point on the graph and explain its significance for the rabbit population.
Round your answer to the nearest integer.
The inflection point is approximately i
years after Captain Cook left the rabbits on the island which
coincides with the population
(d) What natural causes could lead to the shape of the graph of P?
The shape of the graph could be caused by

Transcribed Image Text:In 1774, Captain James Cook left 10 rabbits on a small Pacific island. The rabbit population is approximated by
3000
P(t) =
1+ e53-0.41
%3D
with t measured in years since 1774. Use a calculator or computer to answer the following questions.
(a) Graph P. Does the population level off? If it does, at what population? If it does not, enter NA.
The population levels off at about
rabbits.
(b) Estimate when the rabbit population grew most rapidly. How large was the population at that time?
Round the number of years to the nearest integer.
The rabbit population grew most rapidly approximately i
years after Captain Cook left the rabbits on the
island, when the population was
rabbits.
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