# Integration Word Problems : Rate of change

Suppose that a tank initially contains 2000 gal of water and the rate of change of its volume after the tank drains for t min is '(t)=(0.5)t)-30 (in gallons per minute). How much water does the tank contain after it has been draining for 25 minutes?

keywords: integration, integrates, integrals, integrating, double, triple, multiple

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A rate of change problem is solved.

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Changping Wang, MA

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Active since 2003

BSc , Wuhan Univ. China
MA, Shandong Univ.

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Comments on Changping's work:

"Thanks for doing this I have another similar questions. If you are interested I can post it to you"

"Thanks! Let me know if you want to help out for a derivation for the same problem but this time only for the integration version?"

"Thank you. Can I please trouble you to show all work for the first problem? (x + 3)(x − 5) < 0"

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