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Question 4 2.5 pts Beer with 6% alcohol (by volume) is pumped into a 500 gallon...
3. (25 pts) A tank with 60 gallons of wine contains 11% alcohol by volume. Wine...
3. (25 pts) A tank with 60 gallons of wine contains 11% alcohol by volume. Wine with 7% alcohol is pumped into the tank at a rate of 2 gal/min and the mixture is pumped out at the same rate. a. Show that the rate of change of alcohol in the tank can be modeled by the differential dy 21-5y equation where y(t) is the amount of alcohol in gallons at time t in the tank. dt 150 b. What...
completeness and clarity please ! Diferentia ruquations 3. Two 500 gallon tanks T, and T, intially...
completeness and clarity please !
Diferentia ruquations 3. Two 500 gallon tanks T, and T, intially contain 100 gallons of salt solution. A solution with 2 pounds of salt per galloon is pumped into Ty from an external source at 6 gal/min and a solution with 1 pound of salt per gallon is pumped into T, from an external source at 5 gal/min. The solution from Tis pumped into T, at 2 gal/min, and the solution from T, is pumped...
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...
Tanks T1 and T2 both initial contains 50 gallons of pure water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into Ti at a rate of 2 gal/min. The mixture is drained from...
Tanks T1 and T2 both initial contains 50 gallons of pure water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into Ti at a rate of 2 gal/min. The mixture is drained from T1 at the same rate into the second tank T2. Starting at to = 0, a mixture from another source that contains 2 pounds of salt per gallon is poured into T2 at a rate of 2 gal/min. The...
4. A tank with a capacity of 500 gal originally contains 200 gal of water with...
4. A tank with a capacity of 500 gal originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow. Find the concentration (in...
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)...
2. A tank contains 100 gallons of pure water. Beginning at t O, a salt water solution containing 0.2 pounds of salt per gallon is pumped into the tank at a rate of 3 gallons per minute. At the sa...
2. A tank contains 100 gallons of pure water. Beginning at t O, a salt water solution containing 0.2 pounds of salt per gallon is pumped into the tank at a rate of 3 gallons per minute. At the same time, a drain is opened at the bottom of the tank which allows the mixture to leave the tank at a rate 3 gallons per minute. Assume the solution is kept perfectly mixed. (a) What will be concentration of salt...
A tank with 500 liters of water initially contains 4g of calcium. Water with a concentration of 3...
a tank with 500 liters of water initially contains 4g of calcium. Water with a concentration of 3 mg/L is pumped into the tank at a rate of 1L/min and the mixture is pumped out at the same rate. (a) Write a differential equation and its initial condition for, y(t), the total amount of calcium in grams in the tank. (t is measured in minutes, 1g = 1000mg) (b) Find the general solution to this differential equation. (c) Find the...
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...
3. (25 pts) A tank with 60 gallons of wine contains 11% alcohol by volume. Wine with 7% alcohol is pumped into the tank at a rate of 2 gal/min and the mixture is pumped out at the same rate. a. Show that the rate of change of alcohol in the tank can be modeled by the differential dy 21-5y equation where y(t) is the amount of alcohol in gallons at time t in the tank. dt 150 b. What...
completeness and clarity please !
Diferentia ruquations 3. Two 500 gallon tanks T, and T, intially contain 100 gallons of salt solution. A solution with 2 pounds of salt per galloon is pumped into Ty from an external source at 6 gal/min and a solution with 1 pound of salt per gallon is pumped into T, from an external source at 5 gal/min. The solution from Tis pumped into T, at 2 gal/min, and the solution from T, is pumped...
Tanks T1 and T2 both initial contains 50 gallons of pure water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into Ti at a rate of 2 gal/min. The mixture is drained from T1 at the same rate into the second tank T2. Starting at to = 0, a mixture from another source that contains 2 pounds of salt per gallon is poured into T2 at a rate of 2 gal/min. The...
4. A tank with a capacity of 500 gal originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/min. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow. Find the concentration (in...
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)...
2. A tank contains 100 gallons of pure water. Beginning at t O, a salt water solution containing 0.2 pounds of salt per gallon is pumped into the tank at a rate of 3 gallons per minute. At the same time, a drain is opened at the bottom of the tank which allows the mixture to leave the tank at a rate 3 gallons per minute. Assume the solution is kept perfectly mixed. (a) What will be concentration of salt...
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...
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