An island of A square kilometers in the Florida Keys has N species of beetles, given by

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An island of A square kilometers in the Florida Keys has N species of beetles, given by

N = f(A) = 8.3A0.25.

(a) Find f¨(A).

(b) At 40 km2, Key Largo is the largest island in the Keys. Find f(40) and f¨(40).

(c) Interpret f(40) in terms of beetles and Key Largo.

(d) Global warming is causing the oceans to rise, reducing land mass. Interpret f¨(40) in terms of Key Largo, shrinking land mass, and beetles.

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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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