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# The vase in Figure 4.31 is filled with water at a constant rate (i.e., constant volume

ISBN: 9781118174920 268

## Solution for problem 37 Chapter 4.2

Applied Calculus | 5th Edition

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Problem 37

The vase in Figure 4.31 is filled with water at a constant rate (i.e., constant volume per unit time). (a) Graph y = f(t), the depth of thewater, against time, t. Show on your graph the points at which the concavity changes. (b) At what depth is y = f(t) growing most quickly? Most slowly? Estimate the ratio between the growth rates at these two depths. y y1 y2 y3 Figure 4.31

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The vase in Figure 4.31 is filled with water at a constant rate (i.e., constant volume

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