Torricellis law says that if you drain a tank like the one in the figure shown, the
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Torricelli’s law says that if you drain a tank like the one in the figure shown, the rate y at which water runs out is a constant times the square root of the water’s depth x. The constant depends on the size and shape of the exit valve.
Suppose that y = √x/2 for a certain tank. You are trying to maintain a fairly constant exit rate by adding water to the tank with a hose from time to time. How deep must you keep the water if you want to maintain the exit rate
a. within 0.2 ft3/min of the rate y0 = 1 ft3/min?
b. within 0.1 ft3/min of the rate y0 = 1 ft3/min?
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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