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Suppose the tank in the figure below initially contains 800 gals of water in which 190...

Suppose the tank in the figure below initially contains 800 gals of water in which 190 lbs of salt is dissolved. Brine runs in at a rate of 10 gal min and each gallon contains .5 lb of dissolved salt. The mixture in the tank is kept uniform by stirring. The brine solution is withdrawn from the tank at a rate of 8 gals min. Let s(t) represent the amount of salt in the tank at anytime t, and develop an initial value problem for this scenario.

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