A tank contains 3000 gallons of pure water. Polluted water containing 2 lb of sludge per gallon enters the tank at a rate of 5 gallons/hour. The solution is thoroughly mixed and drains from the ank at a rate of 6 gallon/hour. Find a formula for the concentration of pollutants at time t. Sketch he graph of the concentration over time (you are welcome to use a graphing calculator), clearly showing the valid domain for your solution.
A tank contains 3000 gallons of pure water. Polluted water containing 2 lb of sludge per gallon enters the tank at a rate of 5 gallons/hour. The solution is thoroughly mixed and drains from the ank at a rate of 6 gallon/hour. Find a formula for the concentration of pollutants at time t. Sketch he graph of the concentration over time (you are welcome to use a graphing calculator), clearly showing the valid domain for your solution.
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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Transcribed Image Text:A tank contains 3000 gallons of pure water. Polluted water containing 2 lb of sludge per gallon
enters the tank at a rate of 5 gallons/hour. The solution is thoroughly mixed and drains from the
tank at a rate of 6 gallon/hour. Find a formula for the concentration of pollutants at time t. Sketch
the graph of the concentration over time (you are welcome to use a graphing calculator), clearly
showing the valid domain for your solution.
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