Solved: Suppose that r f(h) defines the shape of a water clock for which the time marks

Chapter 3, Problem 33

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Suppose that r f(h) defines the shape of a water clock for which the time marks are equally spaced. Use the differential equation in to find f(h) and sketch a typical graph of h as a function of r. Assume that the cross-sectional area Ah of the hole is constant. [Hint: In this situation dhdt a, where a 0 is a constant.]

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