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Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A salt solution containing 4 pounds of salt per gallon is allowed into the tank at a rate of 45 gal/min, and the well stirred mixture is then removed at a rate of 30 gal/min, as shown in the figure. The process is continued the tank is filled (see figure below). Fluid In Mixture Fluid Out 1. Write an intial value problem for w, the total weight (in pounds) of salt in the tank.

Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A salt solution containing 4 pounds of salt per gallon is allowed into the tank at a rate of 45 gal/min, and the well stirred mixture is then removed at a rate of 30 gal/min, as shown in the figure. The process is continued the tank is filled (see figure below). Fluid In Mixture Fluid Out 1. Write an intial value problem for w, the total weight (in pounds) of salt in the tank.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A salt solution containing 4 pounds of salt per gallon is allowed to run into the tank at a rate of 45 gal/min, and the well stirred mixture is then removed at a rate of 30 gal/min, as shown in the figure. The process is continued until the tank is filled (see figure below). Fluid In W'+ Mixture 1. Write an intial value problem for w, the total weight (in pounds) of salt in the tank. . The concentration is W = Fluid Out w(0) = 2. Determine the concentration of the salt solution in the tank at the end of the process. Ibs/gal.
Transcribed Image Text:Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A salt solution containing 4 pounds of salt per gallon is allowed to run into the tank at a rate of 45 gal/min, and the well stirred mixture is then removed at a rate of 30 gal/min, as shown in the figure. The process is continued until the tank is filled (see figure below). Fluid In W'+ Mixture 1. Write an intial value problem for w, the total weight (in pounds) of salt in the tank. . The concentration is W = Fluid Out w(0) = 2. Determine the concentration of the salt solution in the tank at the end of the process. Ibs/gal.
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