In physics, it can be shown that a particle forced to oscillate in a resisting medium has

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In physics, it can be shown that a particle forced to oscillate in a resisting medium has amplitude A(r) given by


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where r is the ratio of the forcing frequency to the natural frequency of oscillation and k is a positive constant that measures the damping effect of the resisting medium. Show that A(r) has exactly one positive critical number. Does it correspond to a relative maximum or a relative minimum? Can anything be said about the absolute extrema of A(r)?

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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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