A water storage tank contains initially 200 gallons of water. Water is flowing i

Question

A water storage tank contains initially 200 gallons of water. Water is flowing in and out of the tank. suppose the rate of change of the volume of water is given by V'(t), in gallons per minute. Explain what the expression 200 + integral^30_0 V(t)dt represents. The rate of memorizing information initially increases. Eventually, however, a maximum rate is reached, after which it begins to decrease. Suppose that in a memory experiment the rate of memorizing has been found to be M(t) = -0.009t^2 + 0.2t, where M'(t) is the memorization rate in words per minute. How many words are memorized between the 10 h and 15 h minute?

Explanation / Answer

The integral part will give total change in volue of water after 30 minute.
So this equation will give net amount of water after 30 minutes.

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