pure water 3 gal/min mixture 1 gal/min mixture 4 gal/min mixture 3 gal/min Assume that tank A contains 150 gallons of water in which 30 pounds of salt is dissolved. Suppose tank B contains 75 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchanged between the two tanks and the liquid pumped out of tank B are assumed to be well stirred. Write an IVP for A(t) and B(t), the amount of salt in pounds in each tank at time t.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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mixture
1 gal/min
10
mixture
4 gal/min
pure water
3 gal/min
mixture
3 gal/min
Assume that tank A contains 150 gallons of water in which 30 pounds
of salt is dissolved. Suppose tank B contains 75 gallons of pure water.
Liquid is pumped into and out of the tanks as indicated in the figure; the
mixture exchanged between the two tanks and the liquid pumped out of
tank B are assumed to be well stirred. Write an IVP for A(t) and B(t),
the amount of salt in pounds in each tank at time t.
Transcribed Image Text:mixture 1 gal/min 10 mixture 4 gal/min pure water 3 gal/min mixture 3 gal/min Assume that tank A contains 150 gallons of water in which 30 pounds of salt is dissolved. Suppose tank B contains 75 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchanged between the two tanks and the liquid pumped out of tank B are assumed to be well stirred. Write an IVP for A(t) and B(t), the amount of salt in pounds in each tank at time t.
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