Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 105 pounds of salt are dissolved in the solution in tank A and 45 pounds of salt are dissolved in the solution in tank B. The system is closed in that the well-stirred liquid is pumped only between the tanks, as shown in the figure below. dx1 dt dx2 dt x₁ (0) = A 100 gal (a) Use the information given in the figure to construct a mathematical model for the number of pounds of salt x₁(t) and x₂(t) at time t in tanks A and B, respectively. x₂(0) = mixture 3 gal/min mixture 2 gal/min lbs B 100 gal lbs (b) Find a relationship between the variables x₁(t) and x₂(t) that holds at time t. (Write an equation using x₁ for x₁(t) and x₂ for x₂(t).)

Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 105 pounds of salt are dissolved in the solution in tank A and 45 pounds of salt are dissolved in the solution in tank B. The system is closed in that the well-stirred liquid is pumped only between the tanks, as shown in the figure below. dx1 dt dx2 dt x₁ (0) = A 100 gal (a) Use the information given in the figure to construct a mathematical model for the number of pounds of salt x₁(t) and x₂(t) at time t in tanks A and B, respectively. x₂(0) = mixture 3 gal/min mixture 2 gal/min lbs B 100 gal lbs (b) Find a relationship between the variables x₁(t) and x₂(t) that holds at time t. (Write an equation using x₁ for x₁(t) and x₂ for x₂(t).)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality

Section: Chapter Questions

Problem 108A: The feed of a drill is the depth of material that the drill penetrates in one revolution. The total...

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