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# Consider two interconnected tanks similar to those in Figure 7.1.6. Initially,Tank 1

ISBN: 9780470458327 393

## Solution for problem 23 Chapter 7.1

Elementary Differential Equations | 10th Edition

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Elementary Differential Equations | 10th Edition

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Problem 23

Consider two interconnected tanks similar to those in Figure 7.1.6. Initially,Tank 1 contains60 gal of water and Q01 oz of salt, and Tank 2 contains 100 gal of water and Q02 oz of salt.Water containing q1 oz/gal of salt flows into Tank 1 at a rate of 3 gal/min. The mixturein Tank 1 flows out at a rate of 4 gal/min, of which half flows into Tank 2, while theremainder leaves the system.Water containing q2 oz/gal of salt also flows into Tank 2 fromthe outside at the rate of 1 gal/min. The mixture in Tank 2 leaves it at a rate of 3 gal/min, ofwhich some flows back into Tank 1 at a rate of 1 gal/min, while the rest leaves the system.(a) Draw a diagram that depicts the flow process described above. Let Q1(t) and Q2(t),respectively, be the amount of salt in each tank at time t.Write down differential equationsand initial conditions for Q1 and Q2 that model the flow process.(b) Find the equilibrium values QE1 and QE2 in terms of the concentrations q1 and q2.(c) Is it possible (by adjusting q1 and q2) to obtain QE1 = 60 and QE2 = 50 as an equilibriumstate?(d) Describe which equilibrium states are possible for this system for various values of q1and q2.

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Intro to Applied Stats: Chapter 8 Objectives: ● Describe the mean and median both verbally and algebraically ○ Mean, verbally: average of all scores in a distribution. Mean, algebraically: X bar = ΣX/n. So, X bar = X​ + X​ 1​X​ .2​/N. 3​bar is the mean, N is the number of scores, Σ is the verb directing...

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##### ISBN: 9780470458327

The full step-by-step solution to problem: 23 from chapter: 7.1 was answered by , our top Math solution expert on 03/13/18, 08:19PM. Since the solution to 23 from 7.1 chapter was answered, more than 240 students have viewed the full step-by-step answer. Elementary Differential Equations was written by and is associated to the ISBN: 9780470458327. This textbook survival guide was created for the textbook: Elementary Differential Equations, edition: 10. The answer to “Consider two interconnected tanks similar to those in Figure 7.1.6. Initially,Tank 1 contains60 gal of water and Q01 oz of salt, and Tank 2 contains 100 gal of water and Q02 oz of salt.Water containing q1 oz/gal of salt flows into Tank 1 at a rate of 3 gal/min. The mixturein Tank 1 flows out at a rate of 4 gal/min, of which half flows into Tank 2, while theremainder leaves the system.Water containing q2 oz/gal of salt also flows into Tank 2 fromthe outside at the rate of 1 gal/min. The mixture in Tank 2 leaves it at a rate of 3 gal/min, ofwhich some flows back into Tank 1 at a rate of 1 gal/min, while the rest leaves the system.(a) Draw a diagram that depicts the flow process described above. Let Q1(t) and Q2(t),respectively, be the amount of salt in each tank at time t.Write down differential equationsand initial conditions for Q1 and Q2 that model the flow process.(b) Find the equilibrium values QE1 and QE2 in terms of the concentrations q1 and q2.(c) Is it possible (by adjusting q1 and q2) to obtain QE1 = 60 and QE2 = 50 as an equilibriumstate?(d) Describe which equilibrium states are possible for this system for various values of q1and q2.” is broken down into a number of easy to follow steps, and 212 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 61 chapters, and 1655 solutions.

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