7. dt Scientist has observed that a small colony of penguins on a remote Antarctic island obeys the population growth law, drP (where P is the size of the population at time t and r is the growth constant). There were 2000 penguins initially and 3000 penguins 4 years later. (a) Determine the number of penguins on the remote Antarctic island after 10 years. (b) Calculate the time it takes for the number of penguins to double.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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7. Scientist has observed that a small colony of penguins on a remote Antarctic
island obeys the population growth law, = rP (where P is the size of the
population at time t and r is the growth constant). There were 2000 penguins
initially and 3000 penguins 4 years later.
(a) Determine the number of penguins on the remote Antarctic island after 10
years.
(b) Calculate the time it takes for the number of penguins to double.
Transcribed Image Text:7. Scientist has observed that a small colony of penguins on a remote Antarctic island obeys the population growth law, = rP (where P is the size of the population at time t and r is the growth constant). There were 2000 penguins initially and 3000 penguins 4 years later. (a) Determine the number of penguins on the remote Antarctic island after 10 years. (b) Calculate the time it takes for the number of penguins to double.
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