A bowl has the shape of the graph of y = x4 between the points (1, 1) and (1, 1) rotated
Chapter 8, Problem 59(choose chapter or problem)
A bowl has the shape of the graph of y = x4 between the points (1, 1) and (1, 1) rotated about the y-axis. When the bowl contains water to a depth of h units, it flows out through a hole in the bottom at a rate (volume/time) proportional to h, with constant of proportionality 6. (a) Show that the water level falls at a constant rate. (b) Find how long it takes to empty the bowl if it is originally full to the brim.
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