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Two well-mixed tanks are interconnected. Tank A contains 60 grams of salt in 40 liters of water, and Tank B contains 70 grams of salt in 20 liters of water. A briny solution with concentration 2 gram/L flows into Tank A at a rate of 7 L/min, while a solution with concentration 3 grams/L flows into Tank B at a rate of 5 L/min. The tanks are connected, so 8 L/min flows from Tank A to Tank B, while 1 L/min flows from Tank B to Tank A. An additional 12 L/min drains from Tank B. Letting x1 represent the grams of salt in Tank A, and 2 represent the grams of salt in Tank B, set up the IVP for amount of salt in these two tanks. x1'= x2= x1(0) x2(0) =

Two well-mixed tanks are interconnected. Tank A contains 60 grams of salt in 40 liters of water, and Tank B contains 70 grams of salt in 20 liters of water. A briny solution with concentration 2 gram/L flows into Tank A at a rate of 7 L/min, while a solution with concentration 3 grams/L flows into Tank B at a rate of 5 L/min. The tanks are connected, so 8 L/min flows from Tank A to Tank B, while 1 L/min flows from Tank B to Tank A. An additional 12 L/min drains from Tank B. Letting x1 represent the grams of salt in Tank A, and 2 represent the grams of salt in Tank B, set up the IVP for amount of salt in these two tanks. x1'= x2= x1(0) x2(0) =

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 8E
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Two well-mixed tanks are interconnected. Tank A contains 60 grams of salt in 40 liters of water, and Tank B contains 70 grams of salt in 20 liters of water. A briny solution with concentration 2 gram/L flows into Tank A at a rate of 7 L/min, while a solution with concentration 3 grams/L flows into Tank B at a rate of 5 L/min. The tanks are connected, so 8 L/min flows from Tank A to Tank B, while 1 L/min flows from Tank B to Tank A. An additional 12 L/min drains from Tank B. Letting x1 represent the grams of salt in Tank A, and x2 represent the grams of salt in Tank B, set up the IVP for amount of salt in these two tanks. x2 x1(0) = ' 23(0) =
Transcribed Image Text:Two well-mixed tanks are interconnected. Tank A contains 60 grams of salt in 40 liters of water, and Tank B contains 70 grams of salt in 20 liters of water. A briny solution with concentration 2 gram/L flows into Tank A at a rate of 7 L/min, while a solution with concentration 3 grams/L flows into Tank B at a rate of 5 L/min. The tanks are connected, so 8 L/min flows from Tank A to Tank B, while 1 L/min flows from Tank B to Tank A. An additional 12 L/min drains from Tank B. Letting x1 represent the grams of salt in Tank A, and x2 represent the grams of salt in Tank B, set up the IVP for amount of salt in these two tanks. x2 x1(0) = ' 23(0) =
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