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

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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 ispumped into the vat at the rate of 5 gallons per minute; theperfectly stirred mixture is pumped out at the same flow rate.Derive a formula for the concentration of salt in the tank at anytime t.

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