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

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