Use the information given in the figure below to construct a mathematical model for the number of pounds of salt x ₁(t), x₂(t), and x3(t) at time t in tanks A, B, and C, respectively. 57/0 5/0 87/0 = pure water 5 gal/min 100 gal mixture 2 gal/min mixture 7 gal/min B 100 gal mixture 1 gal/min mixture 6 gal/min C 100 gal mixture 5 gal/min

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 1E
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Use the information given in the figure below to construct a mathematical model for the number of pounds of salt x₁(t), x₂(t), and
X3(t) at time t in tanks A, B, and C, respectively.
570 870 87/0
dx1
dt
dx2
dt
dx3
dt
=
=
pure water
5 gal/min
mixture
2 gal/min
mixture
1 gal/min
B
с
国国国
A
100 gal
100 gal
100 gal
mixture
7 gal/min
mixture
6 gal/min
mixture
5 gal/min
Transcribed Image Text:Use the information given in the figure below to construct a mathematical model for the number of pounds of salt x₁(t), x₂(t), and X3(t) at time t in tanks A, B, and C, respectively. 570 870 87/0 dx1 dt dx2 dt dx3 dt = = pure water 5 gal/min mixture 2 gal/min mixture 1 gal/min B с 国国国 A 100 gal 100 gal 100 gal mixture 7 gal/min mixture 6 gal/min mixture 5 gal/min
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