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Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds...

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Basic Math

Suppose that a large mixing tank initially holds 500 gallons ofwater in which 50 pounds of salt have been dissolved. Another brinesolution is pumped into the tank at a rate of 3 gal/min, and whenthe solution is well stirred, it is then pumped out at aslower rate of 2 gal/min. If the concentration of thesolution entering is 2 lb/gal, determine a differential equation(in lb/min) for the amount of salt A(t) (in lb)in the tank at time

t > 0.

(Use A forA(t).)

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