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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 4 L/min and from B into A at a rate of 1 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.3 kg/L of salt flows into tank A at a rate of 8 L/min. The (diluted) solution flows out of the system from tank A at 5 L/min and from tank B at 3 L/min. If initially, tank A contains pure water and tank B contains 30 kg of salt, determine the mass of salt in each tank at time t≥ 0. A B 8 L/min 4 L/min 0.3 kg/L x(t) y(t) 100 L x(0) = 0 kg 100 L y(0) = 30 kg 5 L/min 3 L/min 1 L/min What is the solution to the system? x(t) = y(t) =

Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 4 L/min and from B into A at a rate of 1 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.3 kg/L of salt flows into tank A at a rate of 8 L/min. The (diluted) solution flows out of the system from tank A at 5 L/min and from tank B at 3 L/min. If initially, tank A contains pure water and tank B contains 30 kg of salt, determine the mass of salt in each tank at time t≥ 0. A B 8 L/min 4 L/min 0.3 kg/L x(t) y(t) 100 L x(0) = 0 kg 100 L y(0) = 30 kg 5 L/min 3 L/min 1 L/min What is the solution to the system? x(t) = y(t) =

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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 4 L/min and from B into A at a rate of 1 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.3 kg/L of salt flows into tank A at a rate of 8 L/min. The (diluted) solution flows out of the system from tank A at 5 L/min and from tank B at 3 L/min. If initially, tank A contains pure water and tank B contains 30 kg of salt, determine the mass of salt in each tank at time t≥ 0. A B 8 L/min 4 L/min 0.3 kg/L x(t) y(t) 100 L x(0) = 0 kg 100 L y(0) = 30 kg 5 L/min 3 L/min 1 L/min What is the solution to the system? x(t) = y(t) =
Transcribed Image Text:Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 4 L/min and from B into A at a rate of 1 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.3 kg/L of salt flows into tank A at a rate of 8 L/min. The (diluted) solution flows out of the system from tank A at 5 L/min and from tank B at 3 L/min. If initially, tank A contains pure water and tank B contains 30 kg of salt, determine the mass of salt in each tank at time t≥ 0. A B 8 L/min 4 L/min 0.3 kg/L x(t) y(t) 100 L x(0) = 0 kg 100 L y(0) = 30 kg 5 L/min 3 L/min 1 L/min What is the solution to the system? x(t) = y(t) =
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