Controlling the flow from a draining tank 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 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 ratea. 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?

Solution :Step 1 :In this problem, we have to find the range of x to maintain the exit rate.