(Mixing problem) A tank (as in Fig. 9 in Sec. 1.3) contains 1000 gal of water in which

Chapter 1, Problem 1.1.128

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(Mixing problem) A tank (as in Fig. 9 in Sec. 1.3) contains 1000 gal of water in which 200 lb of salt is dissolved. 50 gal of brine, each gallon containing (1 + cos t) Ib of dissolved salt, run: into the tank per minute. The mixture. kept uniform by stirring. nms out at the same rate. Find the amount of salt in the tank at any time t (Fig. 20).

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