Calculus
posted by L.S. .
Two 100gallon tanks initially contain pure water. Brine containing 2 lb of salt per gallon enters the first tank at the rate of 1 gal/min, and then the mixed solution drains into the second tank at the same rate. There, it is again thoroughly mixed and drains at the same rate, 1 gal/min.
Let S(t)=S(1)S(2). Intuitively, S(t)>=0 for all t. At what time is the excess S(t) maximized? What is the maximum excess?
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