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Problem 5: A tank initially contains 50 kilograms of malonic acid dissolved in 500 liters of water. Starting at t = 0, water that contains

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Problem 5: A tank initially contains 50 kilograms of malonic acid dissolved in 500 liters of water. Starting at t = 0, water that contains 0.5 kilograms of malonic acid per liter is poured into the tank at the rate of 4 L/min and the mixture is drained from the tank at the same rate. (a) Define Q(t) as the amount of malonic acid in the tank at any time t. Create an ODE that models Q(t). (b) Solve the ODE to get an explicit form of Q(t). (c) What happens to Q(t) as t - too

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