A new fish species is introduced into a lake. Assuming that the population of fish quadruples in the first year, the fish population can be modelled by the logistic curve 10000 P(t): t≥0 1+49e¹ -1.451 where P(t) is the fish population in t years. (a) How many fish were initially introduced into the lake? (b) What is the fish population after 4 years? (c) At what rate is the fish population growing 6 years after introduction? (d) Using the original function, determine the eventual population of fish in the lake (after a long period of time).

A new fish species is introduced into a lake. Assuming that the population of fish quadruples in the first year, the fish population can be modelled by the logistic curve 10000 P(t): t≥0 1+49e¹ -1.451 where P(t) is the fish population in t years. (a) How many fish were initially introduced into the lake? (b) What is the fish population after 4 years? (c) At what rate is the fish population growing 6 years after introduction? (d) Using the original function, determine the eventual population of fish in the lake (after a long period of time).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.EA: Extended Application Managing Renewable Resources

Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...

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