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In the following figure water is poured into an urn at a

Question: In the following figure, water is poured into an urn at a constant rate (in appropriate units), and the water level rises to a height of f(t) units at time t as measured from the base of the urn. Sketch the graph of f and explain its shape, indicating where it is concave upward and concave downward. Indicate the inflection point on the graph and explain its significance.

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