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Derivatives and Rate of Change

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A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour? (Round the answer to one decimal place.)

p(60) =

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Solution Summary

A rate of change problem is solved.

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One differential equation should be created.

Suppose t is the time in minutes, y is the percentage of alcohol in the vat. Then
y(0) = 4%
We consider the time t and ...

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