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Question: 1 point a tank contains 50 kg of salt and...

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(1 point) A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per liter enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? concentration50/2000 EEE (kg/L) (b) Set up an initial value problem for the quantity y, in kg, of salt in the tank at time t minutes. dy =|(0.01 25.6)-y6/2000 嚣 (kg/min) y(0) = 50 EEE (kg) (c) Solve the initial value problem in part (b) y(t)-75(1 +e^-1000t) (d) Find the amount of salt in the tank after 2.5 hours. amount = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = EEE (kg/L)

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