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Suppose water is leaking from a tank through a circular hole of area Ah at its bottom.

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Suppose water is leaking from a tank through a circular hole of area Ah at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cAhˆšgh, where c (0 < c < 1) is an empirical constant. Determine a differential equation for the height h of water at time t for the cubical tank shown in the following figure. The radius of the hole is 2 in., and g = 32 ft/s2.

 10 ft circular hole Es-


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10 ft circular hole Es-

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The volume of water in the tank at time t ...View the full answer


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A First Course in Differential Equations with Modeling Applications

A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

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