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A vat of volume 1100 gallons initially contains 4 lbs of salt. For t > 0...

A vat of volume 1100 gallons initially contains 4 lbs of salt. For t > 0 a salt brine of concentration 0.15 lbs per gallon is pumped into the vat at the rate of 5 gallons per minute; the perfectly stirred mixture is pumped out at the same flow rate. Derive a formula for the concentration of salt in the tank at any time t.

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