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Suppose that the fish population P(t) in a lake is attacked by a disease at time t = 0, with the result that the fish cease to reproduce (so that the birth rate is ß = 0) and the death rate 8 (deaths per week per fish) is thereafter proportional to 1/P. If there were initially 900 fish in the lake and 441 were left after 6 weeks, how long did it take all the fiet in the lake to die?

Suppose that the fish population P(t) in a lake is attacked by a disease at time t = 0, with the result that the fish cease to reproduce (so that the birth rate is ß = 0) and the death rate 8 (deaths per week per fish) is thereafter proportional to 1/P. If there were initially 900 fish in the lake and 441 were left after 6 weeks, how long did it take all the fiet in the lake to die?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Suppose that the fish population P(t) in a lake is attacked by a disease at time t = 0, with the result that the fish cease to reproduce (so that the birth rate is ß = 0) and the death rate 8 (deaths per week per fish) is thereafter proportional to 1/P. If there were initially 900 fish in the lake and 441 were left after 6 weeks, how long did it take all the fiet in the lake to die?
Transcribed Image Text:Suppose that the fish population P(t) in a lake is attacked by a disease at time t = 0, with the result that the fish cease to reproduce (so that the birth rate is ß = 0) and the death rate 8 (deaths per week per fish) is thereafter proportional to 1/P. If there were initially 900 fish in the lake and 441 were left after 6 weeks, how long did it take all the fiet in the lake to die?
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