Use the information given in the figure below to construct a mathematical model for the number...
shown in the figure below. 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, measured in minutes, in tanks A and B, respectively. dx dt ах dt 5 lb/gal 7 gal/min mixture 8 gal/min 100 gal 100 gal mixture 1 gal/min mixture mixture 2 gal/min 6 gal/min
5. (30 points) Initially, two large tanks A and B each hold 50 gallons of brine. The well-mixed liquid is pumped between the tanks as shown below. Use the information on the figure to construct a mathematical model for the number of pounds of salt x, (t) and x2(t) at time t in the tanks A and B pure water 3 gal/min mixture I gal/min 50 gal mixture mixture 4 gal/min 3 gal/min Solve the system subject to the initial...
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...
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...
Water 12 L/min Mixture 4 L/min 100 L 100 L Mixture 16 L/min Mixture 12 L/min Mixing tank A holds 100 L of water in which 0.04 kg of salts is dissolved. Suppose tank B contains 100 L of water which has 0.02 kg of salt. Liquid is pumped in 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 is assumed to be well...
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...
Its question 15 that i am stuck with. I want to know how the model looks like and how to make it. 8.2 HC 15. As shown in Figure 8.2.6 two large connected mixing tanks A and B initially contain 100 1liters of brine. Liquid is pumped in and out of the tanks as indicated in the figure; the mixture pumped between and out ofa tank is assumed to be well-stirred. (a) Construct a mathematical model in the form 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 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...