Suppose that r f (h) defines the shape of a water clock for which the time marks are
Chapter 2, Problem 42(choose chapter or problem)
Suppose that \(r=f(h)\) defines the shape of a water clock for which the time marks are equally spaced. Use the above differential equation to find f (h) and sketch a typical graph of h as a function of r. Assume that the cross-sectional area \(A_{h}\) of the hole is constant. [Hint: In this situation, \(d h / d t=-a\), where \(a>0\) is a constant.]
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