What A tank originally contains 10 gal of water with 1/2 lb of salt in solution. Water containing a salt concentration of 1 /200 (10−t) ^2 (sin(t)+ 1) lb per gallon flows into the tank at a rate of 1 gal/ min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/ min. The mixture is kept uniform by stirring. Let Q(t) (in lb) be the amount of salt in the tank after time t (in min), How long (in min) will it take for the tank to become empty?

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