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*1.5.36 A tank initially contains 90 gal of pure water. Brine containing 4 lb of salt...
A 600-gal tank initaly contains 100 gal of brine containing 25 lb of salt. Brine containing...
A 600-gal tank initaly contains 100 gal of brine containing 25 lb of salt. Brine containing 2 lb of salt per gallon enters the tank at a rate of 5 gal's, and the well-mixed brine in the tank flows out at the rate of 3 gals. How much salt will the tank contain when it is tull of brine? The tank will contain of sat when it is tul of brine. (Type an integer rdecimal rounded to two decimal places...
A tank initially contains 980 gal of pure water.
A tank initially contains 980 gal of pure water. Brine containing 3.3 lb/gal of salt is poured into the tank at a rate of 7 gal/min. Suppose the solution in the tank is instantly well mixed and drained out at a rate of 9 gal/min. Let Q = Q(t) be the quantity of salt in the tank at time t minutes. What is the initial condition? Set up the differential equation for the quantity of salt in the tank: Find the particular solution: When does...
2. A tank contains a 100 gallons of pure water. Brine containing pound salt per gallon...
2. A tank contains a 100 gallons of pure water. Brine containing pound salt per gallon enters the tank at thratof 2 Let x(t) represent the amount of salt in the tank after t min. and the well-mixed solution flows out at the rate of 4ツ· a. Find the differential equation which relates( and , the initial condition and the domain of x() dr b. Find the particular solution of this equation. c. What is the most amount of salt...
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...
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.)
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...
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)...
PLZ HELP answer all of them plz what value of à are the functions F)- and )- A linearly dependen Match the following direction field with the appropriate diff contains 60 gallons of pure water. Brine...
PLZ HELP
answer all of them plz
what value of à are the functions F)- and )- A linearly dependen Match the following direction field with the appropriate diff contains 60 gallons of pure water. Brine (a water-salt mixture) containing 1 pound of salt per gallon flows into the tank at the rate of 2 gal/min, and the mixture (which is assumed to boe perfectly mixed) flows out of the tank at the rate of 3 gal/min; thus the tank...
A tank initially contains 120 L of pure water. A salt mixture containing a concentration of...
A tank initially contains 120 L of pure water. A salt mixture containing a concentration of 1.5 g/L enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression for the amount of salt in the tank at any time t. Also, find the limiting amount of salt in the tank as t +0. (10 points)
A tank originally contains 140 gal of fresh water. Then water containing 1/2 lb of salt...
A tank originally contains 140 gal of fresh water. Then water containing 1/2 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min. the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the...
A 600-gal tank initaly contains 100 gal of brine containing 25 lb of salt. Brine containing 2 lb of salt per gallon enters the tank at a rate of 5 gal's, and the well-mixed brine in the tank flows out at the rate of 3 gals. How much salt will the tank contain when it is tull of brine? The tank will contain of sat when it is tul of brine. (Type an integer rdecimal rounded to two decimal places...
2. A tank contains a 100 gallons of pure water. Brine containing pound salt per gallon enters the tank at thratof 2 Let x(t) represent the amount of salt in the tank after t min. and the well-mixed solution flows out at the rate of 4ツ· a. Find the differential equation which relates( and , the initial condition and the domain of x() dr b. Find the particular solution of this equation. c. What is the most amount of salt...
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...
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.)
PLZ HELP
answer all of them plz
what value of à are the functions F)- and )- A linearly dependen Match the following direction field with the appropriate diff contains 60 gallons of pure water. Brine (a water-salt mixture) containing 1 pound of salt per gallon flows into the tank at the rate of 2 gal/min, and the mixture (which is assumed to boe perfectly mixed) flows out of the tank at the rate of 3 gal/min; thus the tank...
A tank initially contains 120 L of pure water. A salt mixture containing a concentration of 1.5 g/L enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression for the amount of salt in the tank at any time t. Also, find the limiting amount of salt in the tank as t +0. (10 points)
A tank originally contains 140 gal of fresh water. Then water containing 1/2 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min. the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the...
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