A tank contains 100 gal of pure water. At time zero, a sugar-water solution containing 0.2 lb of sugar per gal enters the tank at a rate of 3 gal per minute. Simultaneously, a drain is opened at the bottom of the tank allowing the sugar solution to leave the tank at 3 gal per minute. Assume that the solution in the tank is kept perfectly mixed at all times.
(a) What will be the sugar content in the tank after 20 minutes?
(b) How long will it take the sugar content in the tank to reach 15 lb?
(c) What will be the eventual sugar content in the tank?
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