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 β=0) and the death rate δ(deaths per week per fish) is thereafter proportional to P^(-1/2). If there were initially 100,000 fish in the lake and 1984were left after 20weeks, how long did it take for the lake to contain 0 fish?What if the number of fish left after 20 weeks is 4891,how many fish do you have after 24 weeks?
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 β=0) and the death rate δ(deaths per week per fish) is thereafter proportional to P^(-1/2). If there were initially 100,000 fish in the lake and 1984were left after 20weeks, how long did it take for the lake to contain 0 fish?What if the number of fish left after 20 weeks is 4891,how many fish do you have after 24 weeks?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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 β=0) and the death rate δ(deaths per week per fish) is thereafter proportional to P^(-1/2). If there were initially 100,000 fish in the lake and 1984were left after 20weeks, how long did it take for the lake to contain 0 fish?What if the number of fish left after 20 weeks is 4891,how many fish do you have after 24 weeks?
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