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Math · Calculus
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10. A 280-gallon tank contains 140 gallons of water with a salt concentration of 0.2 lb/gal. Water with a salt concentration of 0.4 lb/gal flows into the tank at a rate of 18 gal/min. The fluid is mixed instantaneously, and water is pumped out at a rate of 9 gal/min. Lety(t) be the amount of salt in the tank at timet. (a) Set up an initial value problem for the amount of salty(t) in the tank at timet. Enter your answer below. Use fractional symbol as required in your equation. dy Differential Equation dt Initial condition: y (0) (b) At what EXACT time (in minutes) will the tank begin to overflow? Give your answer as a fraction. The tank overflows at t (c) What is the salt concentration when the tank overflows? (Hint: Remember to divide by the total volume). The required concentration is lb/ga

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