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5. (30 points) Initially, two large tanks A and B each hold 50 gallons of brine. The well-mixed l...
MY NOTES | ASK YOUR TEACHER two large tanks A and Beach hold 100 gallons of...
MY NOTES | ASK YOUR TEACHER two large tanks A and Beach hold 100 gallons of brine. The well-stirred liquid is pumped between the tanks as shown in the figure below. Use the information given in the figure to construct a mathematical model for the number of pounds of sat,) and x e in minutes, in tanks A and B, respectively ) t gal gal/min gamin 100 100 l mixture 4 qal/min mixture 2 l/min mure gamin Need Help? **
15. Consider a two tank system pictured below. Suppose tank A contains 100 gallons of water in which 120 pounds of salt are dissolved initially. Suppose tank B has 100 gallons of water in which zero...
15. Consider a two tank system pictured below. Suppose tank A contains 100 gallons of water in which 120 pounds of salt are dissolved initially. Suppose tank B has 100 gallons of water in which zero pounds of salt are dissolved initially. 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 mixed. How many pounds...
1. Consider the following figure below that shows two brine tanks r galmin fresh water Tank 1 ank...
1. Consider the following figure below that shows two brine tanks r galmin fresh water Tank 1 anks 2 containing and V, gallons of brine respectively. Fresh water flows into tank 1, while mixed brine flows from tank l into tank 2· Let x(1) denote the amount (in pounds) ofsalt in tank i at time for i-1,2. Ifeach flow rate is r gallons per minute, then a simple account of salt concentration yields the first-order system where 1,2 If V-50,...
B. Set up a system of equations for the following situation and then use MATLAB to solve the system Tank A contains 50 gallons of water in which 25 pounds of salt are dissolved. A second tank, B, con...
B. Set up a system of equations for the following situation and then use MATLAB to solve the system Tank A contains 50 gallons of water in which 25 pounds of salt are dissolved. A second tank, B, contains 50 gallons of pure water. Liquid is pumped in and out of the tanks at the rates shown in Figure 8.9. Derive the differential equations taerihe themuunds and B, respectively d tm in tanks A mixture pure water 3 gal/min 1...
1. Consider the following figure below that shows two brine tanks r gal/min fresh water Tank 1 an...
1. Consider the following figure below that shows two brine tanks r gal/min fresh water Tank 1 anks 2 containing V and V gallons of brine respectively. Fresh water flows into tank 1, while mixed brine flows from tank 1 into tank 2. Let x,() denote the amount (in pounds) of salt in tank i at time for i-1,2. If each flow rate is r gallons per minute, then a simple account of salt concentration yields the first-order system where...
Consider two brine tanks connected as shown in the figure. The brine solution is pumped from tank 1 into tank 2 at a...
Consider two brine tanks connected as shown in the figure. The
brine solution is pumped from tank 1 into tank 2 at a rate of 10
L/min10 L/min, and from tank 2 into tank 1 at a rate of 10 L/min10
L/min. Suppose there are 50 L50 L of brine in tank 1 and 25 L25 L
of brine in tank 2. Let xx be the amount of salt, in kilograms, in
tank 1 after tt minutes have elapsed, and...
Consider two brine tanks connected as shown in figure I below. Tank 1 contains xit) pounds...
Consider two brine tanks connected as shown in figure I below. Tank 1 contains xit) pounds of salt in 100 wal of brine and tank 2 contains vit) pounds of salt in 200 gal of brine. The brine in each tank is kept uniform by stirring, and brine is pumped from each tank to the other at the rates indicated in figure 1. In addition, fresh water flows into tank 1 at 20 gal/min, and the brine in tank 2...
Consider two brine tanks. Tank Ti is filled with 30 gal pure water, and tank T2...
Consider two brine tanks. Tank Ti is filled with 30 gal pure water, and tank T2 with 10 gal water containing 4 lb salt. • Ti is filled with 3 gal/min water containing 3 lb/gal salt. • 11 gal/min well-mixed solution flows out of Tj into T2 • 8 gal/min well-mixed solution flows out of T2 into Ti. • Finally, 3 gal/min well-mixed solution is leaving T2. Let yi(t) be the amount of salt (in lb) in tank Ti after...
L c The amounts x1 (t) and x2 (t) of salt in two brine tanks satisfy the differential equations b...
l c The amounts x1 (t) and x2 (t) of salt in two brine tanks satisfy the differential equations below where ki = for i= 1. 2. The volumes are V,-50 (gal) and v2-25 (gal). First solve for x1(t) and x2(t) assuming that r#20 (gai in). x1(0): 25(b), and x2(0)-Ο Then find the maximum amount of salt ever in tank 2 Finally, construct a figure showing the graphs of x,(t) and x2t) dx1 dx2
l c The amounts x1 (t)...
A. There are many methods for solving systems of differential equations using MATLAB. Here is a l...
A. There are many methods for solving systems of differential equations using MATLAB. Here is a link to information regarding one method. B. Set up a system of equations for the following situation and then use MATLAB to solve the system. Tank A contains 50 gallons of water in which 25 pounds of salt are dissolved. A second tank, B, contains 50 gallons of pure water. Liquid is pumped in and out of the tanks at the rates shown in...
MY NOTES | ASK YOUR TEACHER two large tanks A and Beach hold 100 gallons of brine. The well-stirred liquid is pumped between the tanks as shown in the figure below. Use the information given in the figure to construct a mathematical model for the number of pounds of sat,) and x e in minutes, in tanks A and B, respectively ) t gal gal/min gamin 100 100 l mixture 4 qal/min mixture 2 l/min mure gamin Need Help? **
15. Consider a two tank system pictured below. Suppose tank A contains 100 gallons of water in which 120 pounds of salt are dissolved initially. Suppose tank B has 100 gallons of water in which zero pounds of salt are dissolved initially. 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 mixed. How many pounds...
1. Consider the following figure below that shows two brine tanks r galmin fresh water Tank 1 anks 2 containing and V, gallons of brine respectively. Fresh water flows into tank 1, while mixed brine flows from tank l into tank 2· Let x(1) denote the amount (in pounds) ofsalt in tank i at time for i-1,2. Ifeach flow rate is r gallons per minute, then a simple account of salt concentration yields the first-order system where 1,2 If V-50,...
B. Set up a system of equations for the following situation and then use MATLAB to solve the system Tank A contains 50 gallons of water in which 25 pounds of salt are dissolved. A second tank, B, contains 50 gallons of pure water. Liquid is pumped in and out of the tanks at the rates shown in Figure 8.9. Derive the differential equations taerihe themuunds and B, respectively d tm in tanks A mixture pure water 3 gal/min 1...
1. Consider the following figure below that shows two brine tanks r gal/min fresh water Tank 1 anks 2 containing V and V gallons of brine respectively. Fresh water flows into tank 1, while mixed brine flows from tank 1 into tank 2. Let x,() denote the amount (in pounds) of salt in tank i at time for i-1,2. If each flow rate is r gallons per minute, then a simple account of salt concentration yields the first-order system where...
Consider two brine tanks connected as shown in the figure. The
brine solution is pumped from tank 1 into tank 2 at a rate of 10
L/min10 L/min, and from tank 2 into tank 1 at a rate of 10 L/min10
L/min. Suppose there are 50 L50 L of brine in tank 1 and 25 L25 L
of brine in tank 2. Let xx be the amount of salt, in kilograms, in
tank 1 after tt minutes have elapsed, and...
Consider two brine tanks connected as shown in figure I below. Tank 1 contains xit) pounds of salt in 100 wal of brine and tank 2 contains vit) pounds of salt in 200 gal of brine. The brine in each tank is kept uniform by stirring, and brine is pumped from each tank to the other at the rates indicated in figure 1. In addition, fresh water flows into tank 1 at 20 gal/min, and the brine in tank 2...
Consider two brine tanks. Tank Ti is filled with 30 gal pure water, and tank T2 with 10 gal water containing 4 lb salt. • Ti is filled with 3 gal/min water containing 3 lb/gal salt. • 11 gal/min well-mixed solution flows out of Tj into T2 • 8 gal/min well-mixed solution flows out of T2 into Ti. • Finally, 3 gal/min well-mixed solution is leaving T2. Let yi(t) be the amount of salt (in lb) in tank Ti after...
l c The amounts x1 (t) and x2 (t) of salt in two brine tanks satisfy the differential equations below where ki = for i= 1. 2. The volumes are V,-50 (gal) and v2-25 (gal). First solve for x1(t) and x2(t) assuming that r#20 (gai in). x1(0): 25(b), and x2(0)-Ο Then find the maximum amount of salt ever in tank 2 Finally, construct a figure showing the graphs of x,(t) and x2t) dx1 dx2
l c The amounts x1 (t)...
A. There are many methods for solving systems of differential equations using MATLAB. Here is a link to information regarding one method. B. Set up a system of equations for the following situation and then use MATLAB to solve the system. Tank A contains 50 gallons of water in which 25 pounds of salt are dissolved. A second tank, B, contains 50 gallons of pure water. Liquid is pumped in and out of the tanks at the rates shown in...
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