A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A sugar-water containing 1.5 lbs of sugar per gallon enters the tank at a rate of 2 gallons per minute. The tank is kept well mixed. Sugar-water is pumped out of the tank at 3.5 gallons per minute. Find the amount of sugar in the tank after 10 minutes?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.5: Equations With The Variable On Both Sides
Problem 16P
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A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A sugar-water
containing 1.5 lbs of sugar per gallon enters the tank at a rate of 2 gallons per minute. The tank is kept well
mixed. Sugar-water is pumped out of the tank at 3.5 gallons per minute. Find the amount of sugar in the tank
after 10 minutes?
Transcribed Image Text:A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A sugar-water containing 1.5 lbs of sugar per gallon enters the tank at a rate of 2 gallons per minute. The tank is kept well mixed. Sugar-water is pumped out of the tank at 3.5 gallons per minute. Find the amount of sugar in the tank after 10 minutes?
What is the general solution for the differential equation?
What is the first boundary condition to determine C?
What is the particular equation for the problem?
What is the amount of sugar in the tank after 10 minutes?
Transcribed Image Text:What is the general solution for the differential equation? What is the first boundary condition to determine C? What is the particular equation for the problem? What is the amount of sugar in the tank after 10 minutes?
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