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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.

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.

Advanced Engineering Mathematics
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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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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