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Two tanks, each holding 100 L of liquid, are interconnected by pipes with liquid flowing from tank A into tank B at a rate of 12 L/min and from tank B into tank A at 3 L/min, as shown in the figure. The liquid inside each tank is kept well stirred. Pure water flows into tank A at a rate of 9 L/min, and the solution flows out of tank B at 9 L/min. If, initially, tank A contains 2.6 kg of salt and tank B contains no salt (only water), determine the mass of salt in each tank at time t≥ 0. Graph on the same axes the two quantities x₁ (t) and x₂ (t), where x₁ (t) is the mass of salt in tank A and x₂(t) is the mass in tank B. Click the icon to view the figure of the tanks. X What are the equations for the mass of salt in each tank at time t≥ 0? X₁ (t)= X₂ (t) = Tanks 9 L/min Pure water A x₁ (1) 100 L x₁ (0)=2.6 kg Print 12 L/min 3 L/min B x₂ (1) 100 L x₂(0)=0 kg Done 9 L/min Q Q

Two tanks, each holding 100 L of liquid, are interconnected by pipes with liquid flowing from tank A into tank B at a rate of 12 L/min and from tank B into tank A at 3 L/min, as shown in the figure. The liquid inside each tank is kept well stirred. Pure water flows into tank A at a rate of 9 L/min, and the solution flows out of tank B at 9 L/min. If, initially, tank A contains 2.6 kg of salt and tank B contains no salt (only water), determine the mass of salt in each tank at time t≥ 0. Graph on the same axes the two quantities x₁ (t) and x₂ (t), where x₁ (t) is the mass of salt in tank A and x₂(t) is the mass in tank B. Click the icon to view the figure of the tanks. X What are the equations for the mass of salt in each tank at time t≥ 0? X₁ (t)= X₂ (t) = Tanks 9 L/min Pure water A x₁ (1) 100 L x₁ (0)=2.6 kg Print 12 L/min 3 L/min B x₂ (1) 100 L x₂(0)=0 kg Done 9 L/min Q Q

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 61CR
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Two tanks, each holding 100 L of liquid, are interconnected by pipes with liquid flowing from tank A into tank B at a rate of 12 L/min and from tank B into tank A at 3 L/min, as shown in the figure. The liquid inside each tank is kept well stirred. Pure water flows into tank A at a rate of 9 L/min, and the solution flows out of tank B at 9 L/min. If, initially, tank A contains 2.6 kg of salt and tank B contains no salt (only water), determine the mass of salt in each tank at time t20. Graph on the same axes the two quantities x₁ (t) and x₂ (t), where x₁ (t) is the mass of salt in tank A and x₂ (t) is the mass in tank B. Click the icon to view the figure of the tanks. Xx What are the equations for the mass of salt in each tank at time t≥ 0? x₁ (t) = X₂ (t) = Tanks 9 L/min Pure water A x₁ (t) 100 L x₁ (0)=2.6 kg Print 12 L/min ← 3 L/min B x2 (t) 100 L X₂ (0)=0 kg Done 9 L/min Q
Transcribed Image Text:Two tanks, each holding 100 L of liquid, are interconnected by pipes with liquid flowing from tank A into tank B at a rate of 12 L/min and from tank B into tank A at 3 L/min, as shown in the figure. The liquid inside each tank is kept well stirred. Pure water flows into tank A at a rate of 9 L/min, and the solution flows out of tank B at 9 L/min. If, initially, tank A contains 2.6 kg of salt and tank B contains no salt (only water), determine the mass of salt in each tank at time t20. Graph on the same axes the two quantities x₁ (t) and x₂ (t), where x₁ (t) is the mass of salt in tank A and x₂ (t) is the mass in tank B. Click the icon to view the figure of the tanks. Xx What are the equations for the mass of salt in each tank at time t≥ 0? x₁ (t) = X₂ (t) = Tanks 9 L/min Pure water A x₁ (t) 100 L x₁ (0)=2.6 kg Print 12 L/min ← 3 L/min B x2 (t) 100 L X₂ (0)=0 kg Done 9 L/min Q
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