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Consider a set of 2 tanks of water with 800 gal and 500 gal in each originally; liquid enters the first tank at a rate of 15 gal/hour and exits the second tank at 15 gal/hour. Liquid flows out of tank 1 into tank 2 at 20 gal/hour and back into tank 1 from tank 2 at 5 gal/hour. If the liquid entering tank 1 has 6 lb of sludge per gallon of water and each of the tanks has pure water in them to begin with, find a system of equations that models your system. (Write in matrix form but do NOT solve...)

Consider a set of 2 tanks of water with 800 gal and 500 gal in each originally; liquid enters the first tank at a rate of 15 gal/hour and exits the second tank at 15 gal/hour. Liquid flows out of tank 1 into tank 2 at 20 gal/hour and back into tank 1 from tank 2 at 5 gal/hour. If the liquid entering tank 1 has 6 lb of sludge per gallon of water and each of the tanks has pure water in them to begin with, find a system of equations that models your system. (Write in matrix form but do NOT solve...)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider a set of 2 tanks of water with 800 gal and 500 gal in each originally; liquid enters the first tank at a rate of 15 gal/hour and exits the second tank at 15 gal/hour. Liquid flows out of tank 1 into 1. tank 2 at 20 gal/hour and back into tank 1 from tank 2 at 5 gal/hour. If the liquid entering tank 1 has 6 lb of sludge per gallon of water and each of the tanks has pure water in them to begin with, find a system of equations that models your system. (Write in matrix form but do NOT solve...)
Transcribed Image Text:Consider a set of 2 tanks of water with 800 gal and 500 gal in each originally; liquid enters the first tank at a rate of 15 gal/hour and exits the second tank at 15 gal/hour. Liquid flows out of tank 1 into 1. tank 2 at 20 gal/hour and back into tank 1 from tank 2 at 5 gal/hour. If the liquid entering tank 1 has 6 lb of sludge per gallon of water and each of the tanks has pure water in them to begin with, find a system of equations that models your system. (Write in matrix form but do NOT solve...)
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