A tank initially contains so lb of salt dissolved in 200 gal of water, where so is some positive number. Starting at time t = 0, water containing 0.5 lb of salt per gallon enters the tank at a rate of 4 gal/min, and the well-stirred solution leaves the tank at the same rate. Letting c(t) be the concentration of salt in the tank at time t, show that the limiting concentration that is, lim, c(t)-is 0.5 lb/gal.

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