Concept explainers
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to
where a is the proportionality constant.
(a) Determine the value of v that minimizes E.
(b) Sketch the graph of E.
Note: This result has been verified experimentally; migrating fish swim against a current at a speed 50% greater than the current speed.
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Chapter 3 Solutions
Calculus (MindTap Course List)