A fishery stocks a pond with 1000 young trout. The number of trout t years later is

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A fishery stocks a pond with 1000 young trout. The number of trout t years later is given by P(t) = 1000e−0.5t.

(a) How many trout are left after six months? After 1 year? 

(b) Find P(3) and interpret it in terms of trout. 

(c) At what time are there 100 trout left? 

(d) Graph the number of trout against time, and describe how the population is changing. What might be causing this?

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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