When a fish swims upstream at a speed v against a constant current v w , the
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When a fish swims upstream at a speed v against a constant current vw, the energy it expends in traveling to a point upstream is given by a function of the form
where C > 0 and k > 2 is a number that depends on the species of fish involved.†
a. Show that E(v) has exactly one critical number. Does it correspond to a relative maximum or a relative minimum?
b. Note that the critical number in part (a) depends on k. Let F(k) be the critical number. Sketch the graph of F(k). What can be said about F(k) if k is very large?
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Related Book For
Calculus For Business, Economics And The Social And Life Sciences
ISBN: 9780073532387
11th Brief Edition
Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price
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