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A tank initially contains 900 liters of pure water. Then water containing 3 mg of detergent per liter starts to enter the tank at the rate of 15 sters per hou (a) How long until the average concentration of detergent in the tank is 2 mg per liter? (b) How long until the average concentration of detergent in the tank is x mg per liter? (c) Sketch a graph showing the function you obtained in (b). Put x on the horizontal axis and t on the vertical axis. (d) What does your answer to part (b) give when x = 7. hours Do you notice anything strange? Can you explain this? hours hours (use 'x' in your equation)

A tank initially contains 900 liters of pure water. Then water containing 3 mg of detergent per liter starts to enter the tank at the rate of 15 sters per hou (a) How long until the average concentration of detergent in the tank is 2 mg per liter? (b) How long until the average concentration of detergent in the tank is x mg per liter? (c) Sketch a graph showing the function you obtained in (b). Put x on the horizontal axis and t on the vertical axis. (d) What does your answer to part (b) give when x = 7. hours Do you notice anything strange? Can you explain this? hours hours (use 'x' in your equation)

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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A tank initially contains 900 liters of pure water. Then water containing 3 mg of detergent per liter starts to enter the tank at the rate of 15 liters per hour. (a) How long until the average concentration of detergent in the tank is 2 mg per liter? (b) How long until the average concentration of detergent in the tank is x mg per liter? (c) Sketch a graph showing the function you obtained in (b). Put x on the horizontal axis and t on the vertical axis. (d) What does your answer to part (b) give when x = 7. hours. Do you notice anything strange? Can you explain this? hours hours (use 'x' in your equation)
Transcribed Image Text:A tank initially contains 900 liters of pure water. Then water containing 3 mg of detergent per liter starts to enter the tank at the rate of 15 liters per hour. (a) How long until the average concentration of detergent in the tank is 2 mg per liter? (b) How long until the average concentration of detergent in the tank is x mg per liter? (c) Sketch a graph showing the function you obtained in (b). Put x on the horizontal axis and t on the vertical axis. (d) What does your answer to part (b) give when x = 7. hours. Do you notice anything strange? Can you explain this? hours hours (use 'x' in your equation)
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