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(1 point) A tank holds 280 gallons of water than contains 35 pounds of dissolved salt....
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water...
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 4 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank dy 4y/250-3.5t) dt (b) Write this equation in the correct form for using the method of separation of...
1) A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solutio...
please solve all three questions, will upvote thank you
1) A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solution containing 4 pounds of salt per gallon is pumped into the tank at the rate of 6 gallons per minute. The mixture is stirred well and is pumped out of the tank at the same rate. Let A(t) represent the amount of salt in the tank at time t a) Write down...
A tank initially contains 500 gallons of water in which 40 pounds of salt is initially dissolved in the water
A tank initially contains 500 gallons of water in which 40 pounds of salt is initially dissolved in the water. Brine (a water-salt mixture) containing 0.4 pounds of salt per gallon flows into the tank at the rate of 5 gal/min, and the mixture (which is assumed to be perfectly mixed) flows out of the tank at the same rate of 5 gal/min. Let y(t) be the amount of salt (in pounds) in the tank at time t. a) Set up...
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) Given a tank initially contains 200 gallons of brine (salt mixed with water) in which...
1) Given a tank initially contains 200 gallons of brine (salt mixed with water) in which 150 lbs of salt is dissolved. A salt solution consisting of 0.5×(1 + e^(-0.02t)) lb. of salt per gallon (where t is time in unit of minute) is flowing into the tank at a rate of 10 gal./min and the mixed solution is drained from tank at the same rate. Find the amount of the salt in the tank after 1 hour. (10 points)...
A 120-gallon tank initially contains 90 pounds of salt dissolved in 90 gallons of water. Brine...
A 120-gallon tank initially contains 90 pounds of salt dissolved in 90 gallons of water. Brine containing 2 1b/gal of salt flows into the tank at the rate of 4 cal/min, and the well-stirred mixture flows out of the tank at the rate of 3 gal/min. How much salt does the tank contain when it is full? (At 30 minutes, there is approximately 202 pounds of salt present in the tank.)
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...
3. A 1000-gallon tank initially contains 800 gallons of water with 3 lbs of salt dissolved...
3. A 1000-gallon tank initially contains 800 gallons of water with 3 lbs of salt dissolved in it. A water-salt mixture with a concentration of 0.4 lb of salt per gallon enters the tank at a rate of 8 gal/hr. The liquid in the tank is well-mixed and is pumped out of the tank at a rate of 10 gal/hr. Suppose you were asked to find an expression for the amount of salt in the tank at time t. (a)...
A tank contains 90 kg of salt and 2000 L of water. Pure water enters a...
A tank contains 90 kg of salt and 2000 L of water. Pure water enters a tank at the rate 10 L/min. The solution is mixed and drains from the tank at the rate 13 L/min. Let y be the number of kg of salt in the tank after t minutes. The differential equation for this situation would be: dy dt = y(0) -
A tank contains 90 kg of salt and 2000 L of water. Pure water enters a...
A tank contains 90 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L / min. The solution is mixed and drains from the tank at the rate 8 L / min.Let y be the number of kg of salt in the tank after t minutes.The differential equation for this situation would be:dy/dt=y(0)=
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 4 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank dy 4y/250-3.5t) dt (b) Write this equation in the correct form for using the method of separation of...
please solve all three questions, will upvote thank you
1) A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solution containing 4 pounds of salt per gallon is pumped into the tank at the rate of 6 gallons per minute. The mixture is stirred well and is pumped out of the tank at the same rate. Let A(t) represent the amount of salt in the tank at time t a) Write down...
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...
A 120-gallon tank initially contains 90 pounds of salt dissolved in 90 gallons of water. Brine containing 2 1b/gal of salt flows into the tank at the rate of 4 cal/min, and the well-stirred mixture flows out of the tank at the rate of 3 gal/min. How much salt does the tank contain when it is full? (At 30 minutes, there is approximately 202 pounds of salt present in the tank.)
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...
3. A 1000-gallon tank initially contains 800 gallons of water with 3 lbs of salt dissolved in it. A water-salt mixture with a concentration of 0.4 lb of salt per gallon enters the tank at a rate of 8 gal/hr. The liquid in the tank is well-mixed and is pumped out of the tank at a rate of 10 gal/hr. Suppose you were asked to find an expression for the amount of salt in the tank at time t. (a)...
A tank contains 90 kg of salt and 2000 L of water. Pure water enters a tank at the rate 10 L/min. The solution is mixed and drains from the tank at the rate 13 L/min. Let y be the number of kg of salt in the tank after t minutes. The differential equation for this situation would be: dy dt = y(0) -
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