If a water wave with length L moves with velocity v in a body of water with

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If a water wave with length L moves with velocity v in a body of water with depth d, then

gL tanh 2 2nd L

where t is the acceleration due to gravity. (See Figure 5.) Explain why the approximation

is appropriate in deep water.

Figure 5

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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