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5. A 400 gallon tank initially contains 100 gallons of fluid in which 50 pounds of salt is dissolved. Brine containing 1 pound of salt per gallon is being pumped into the tank at the rate of 5 gallons per minute. The mixture is kept uniform by stirring. The mixture flows out of the tank at the rate of 3 gallons per minute. Set up a differential equation with initial condition for the above problem which would give the amount of salt in the tank at any time until the tank overflows. Identify all variables and any restrictions on the variables. Do NOT solve the equation.

5. A 400 gallon tank initially contains 100 gallons of fluid in which 50 pounds of salt is dissolved. Brine containing 1 pound of salt per gallon is being pumped into the tank at the rate of 5 gallons per minute. The mixture is kept uniform by stirring. The mixture flows out of the tank at the rate of 3 gallons per minute. Set up a differential equation with initial condition for the above problem which would give the amount of salt in the tank at any time until the tank overflows. Identify all variables and any restrictions on the variables. Do NOT solve the equation.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. A 400 gallon tank initially contains 100 gallons of fluid in which 50 pounds of salt is dissolved. Brine containing 1 pound of salt per gallon is being pumped into the tank at the rate of 5 gallons per minute. The mixture is kept uniform by stirring. The mixture flows out of the tank at the rate of 3 gallons per minute. Set up a differential equation with initial condition for the above problem which would give the amount of salt in the tank at any time until the tank overflows. Identify all variables and any restrictions on the variables. Do NOT solve the equation.
Transcribed Image Text:5. A 400 gallon tank initially contains 100 gallons of fluid in which 50 pounds of salt is dissolved. Brine containing 1 pound of salt per gallon is being pumped into the tank at the rate of 5 gallons per minute. The mixture is kept uniform by stirring. The mixture flows out of the tank at the rate of 3 gallons per minute. Set up a differential equation with initial condition for the above problem which would give the amount of salt in the tank at any time until the tank overflows. Identify all variables and any restrictions on the variables. Do NOT solve the equation.
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