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Exercise 3.7.1. Consider the system of two interconnected tanks given below. (o) Ib/gal 2 gal/min...
Consider the two interconnected tanks shown in Figure 7.1.6. Tank 1 initially contains 30 gal of ...
Consider the two interconnected tanks shown in Figure 7.1.6.
Tank 1 initially contains 30 gal of water and 25 oz of salt, and
Tank 2 initially contains 20 gal of water and 15 oz of salt. Water
containing 1 oz/gal of salt flows into Tank 1 at a rate of 1.5
gal/min. The mixture flows from Tank 1 to Tank 2 at a rate of 3
gal/min. Water containing 3 oz/gal of salt also flows into Tank 2
at a...
Consider the two interconnected tanks shown in the following figure. 1 g/min 3 galimin 1 oz...
Consider the two interconnected tanks shown in the following figure. 1 g/min 3 galimin 1 oz 30/gal 4 galimin Q un salt Q.) o salt Tank 1 Tank 2 4 l/min Tank 1 initially contains 60 gal of water and 25 oz of salt, and Tank 2 initially contains 44 gal of water and 15 oz of salt. Water containing 1 oz/gal of salt flows into Tank 1 at a rate of 3 gal/min. The mixture flows from Tank 1...
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...
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 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...
s. (8 pts) Initially, Tank I contains 100 gal of brine solution that has 10 th of dismolved salt and Tank 2 contains 400 gal of brine solution thst has 15 Ib of dissolved salt The brine in each t...
s. (8 pts) Initially, Tank I contains 100 gal of brine solution that has 10 th of dismolved salt and Tank 2 contains 400 gal of brine solution thst has 15 Ib of dissolved salt 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 the at 10 gal/min and the brine in Tank 2 is pumped out at 10 gal/min. 0 gal/i In addition,...
DIFFERENTIAL EQUATIONS WEBWORK PROBLEM If you can't read the picture: Consider two interconnected tanks as shown in...
DIFFERENTIAL EQUATIONS WEBWORK PROBLEM
If you can't read the picture:
Consider two interconnected tanks as shown in the figure above.
Tank 1 initial contains 10 L (liters) of water and 215 g of salt,
while tank 2 initially contains 90 L of water and 355 g of salt.
Water containing 50 g/L of salt is poured into tank1 at a rate of 4
L/min while the mixture flowing into tank 2 contains a salt
concentration of 45 g/L of salt...
In a closed system of two tanks (i.e, one for which there are no input flows and no output flows)...
In a closed system of two tanks (i.e, one for which there are no input flows and no output flows), the following information is given. Tank A is filled with 100 liters of solution whose initial concentration is 0.25 g/liter. Tank B is filled with 50 liters of solution whose initial concentration is 1 g/liter The two tanks are connected with two pipes having flows in opposite direction; mixed solution from Tank A flows to Tank B at a rate...
(1 point) Math 216 Homework webHW3, Problem 4 Consider the cascade of two tanks of brine shown in the figure below, wit...
(1 point) Math 216 Homework webHW3, Problem 4 Consider the cascade of two tanks of brine shown in the figure below, with V-105 gallons and V2-209 gallons being the volumes of brine in the two tanks. Each tank also initially contains 52 lb of salt. The three flow rates indicated in the figure are each 5.1 gal/min, with pure water flowing into tank (Click on the picture to see a larger version.) (a) Find the amount x(t) of salt in...
I just need help understand where I get the 7 for the dx/dt 1. (5 points) Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from Tank A into Tank B at...
I just need help understand
where I get the 7 for the dx/dt
1. (5 points) Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from Tank A into Tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into Tank A...
Consider the two interconnected tanks shown in Figure 7.1.6.
Tank 1 initially contains 30 gal of water and 25 oz of salt, and
Tank 2 initially contains 20 gal of water and 15 oz of salt. Water
containing 1 oz/gal of salt flows into Tank 1 at a rate of 1.5
gal/min. The mixture flows from Tank 1 to Tank 2 at a rate of 3
gal/min. Water containing 3 oz/gal of salt also flows into Tank 2
at a...
Consider the two interconnected tanks shown in the following figure. 1 g/min 3 galimin 1 oz 30/gal 4 galimin Q un salt Q.) o salt Tank 1 Tank 2 4 l/min Tank 1 initially contains 60 gal of water and 25 oz of salt, and Tank 2 initially contains 44 gal of water and 15 oz of salt. Water containing 1 oz/gal of salt flows into Tank 1 at a rate of 3 gal/min. The mixture flows from Tank 1...
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...
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 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...
s. (8 pts) Initially, Tank I contains 100 gal of brine solution that has 10 th of dismolved salt and Tank 2 contains 400 gal of brine solution thst has 15 Ib of dissolved salt 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 the at 10 gal/min and the brine in Tank 2 is pumped out at 10 gal/min. 0 gal/i In addition,...
DIFFERENTIAL EQUATIONS WEBWORK PROBLEM
If you can't read the picture:
Consider two interconnected tanks as shown in the figure above.
Tank 1 initial contains 10 L (liters) of water and 215 g of salt,
while tank 2 initially contains 90 L of water and 355 g of salt.
Water containing 50 g/L of salt is poured into tank1 at a rate of 4
L/min while the mixture flowing into tank 2 contains a salt
concentration of 45 g/L of salt...
In a closed system of two tanks (i.e, one for which there are no input flows and no output flows), the following information is given. Tank A is filled with 100 liters of solution whose initial concentration is 0.25 g/liter. Tank B is filled with 50 liters of solution whose initial concentration is 1 g/liter The two tanks are connected with two pipes having flows in opposite direction; mixed solution from Tank A flows to Tank B at a rate...
(1 point) Math 216 Homework webHW3, Problem 4 Consider the cascade of two tanks of brine shown in the figure below, with V-105 gallons and V2-209 gallons being the volumes of brine in the two tanks. Each tank also initially contains 52 lb of salt. The three flow rates indicated in the figure are each 5.1 gal/min, with pure water flowing into tank (Click on the picture to see a larger version.) (a) Find the amount x(t) of salt in...
I just need help understand
where I get the 7 for the dx/dt
1. (5 points) Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from Tank A into Tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into Tank A...
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