Calculus 2 Quiz
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DIFFERENTIAL EQUATIONS
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A tank initially contains 1000 gallons of pure water. Salt water containing 2 pounds of salt per gallon flows in at 5 gallons per minute, and the well-mixed solution flows out at the same rate. The amount of salt S(t)S(t) satisfies dSdt=10−S200\frac{dS}{dt} = 10 - \frac{S}{200}. How much salt will be in the tank when the concentration reaches 1.5 pounds per gallon?
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