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

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The vase in Figure 4.31 is filled with water at a constant rate (that is, constant volume per unit time).

(a) Graph y = f(t), the depth of the water, 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.

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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