(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

http://imageupload.org/thumb/thumb_136882.jpg

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 rate

a. within 5.7 L/min of the rate y_{0}=28.3L/min

b. within 2.8 L/min of the rate y_{0}=28.3L/min

2. Relevant equations

3. The attempt at a solution

I could not understand neither the question nor the method i should use. Should it be done via epsilon-delta method? Or simply by differentiating ?

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# Controlling the flow from a draining tank

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