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(1 point) A tank contains 6 gallons of water to start 9 gations of water flow...
(1 point) A tank contains 11 gallons of water to start, 10 gallons of water flow...
(1 point) A tank contains 11 gallons of water to start, 10 gallons of water flow into the tank while 9.5 gallons of water flow out of the tank per minute. Write a differential for the amount of water A(t) (in gallons) in the tank at time t in minutes A(0) Solve the differential equation: A(t) - Note: use A,A', etc instead of A(t), A(t) in your answers. After you set up your differential equation you will have to set...
A tank contains 200 gallons of liquid. Five gallons of brine per minute flow into the...
A tank contains 200 gallons of liquid. Five gallons of brine per minute flow into the tank, and each gallon of brine contains 2 pounds of salt. Five gallons of brine flow out of the tank per minute. Assume that the tank is kept well stirred. A. Find a differential equation for the number of pounds of salt in the tank. Assuming the tank intially contains 50 pounds of salt, solve this differential equation. B. How much salt is in...
9. A tank initially contains 80 gallons of sugar water having a sugar concen- tration of...
9. A tank initially contains 80 gallons of sugar water having a sugar concen- tration of 5 pounds per gallon. A sugar solution with a concentration of 4 pounds per gallon is poured into the tank at a rate of 6 gal per minute and is thoroughly mixed at the same time. A drain is opened at the bottom of the tank so that the thoroughly mixed sugar water is leaving the tank at the same rate of 6 gal...
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 with a capacity of 400 gallons originally contains 100 gallons of water with 25...
A tank with a capacity of 400 gallons originally contains 100 gallons of water with 25 pounds of salt in solution. Water containing 1/2 pound of salt per gallon is entering at a rate of 4 gallons per minute, and the mixture is allowed to flow out of the tank at a rate of 1 gallon per minute. FIND the amount of salt in the tank at any time prior to the instant when the solution begins to overflow.
A tank originally contains 100 gallons of fresh water. Water containing lb of salt per gallon is ...
A tank originally contains 100 gallons of fresh water. Water containing lb of salt per gallon is poured into the tank at a rate of 2 gallons per minute, and the mixture is allowed to leave at the same rate. After 10 minutes the salt water solution flowing into the tank suddenly switches to fresh water flowing in at a rate of 2 gallons per minute, while the solution continues to leave the tank at the same rate (a) Write...
2. A tank contains 100 gallons of pure water. Beginning at t O, a salt water...
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...
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...
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. A large mixing tank currently contains 100 gallons of water into which 5 pounds of...
1. A large mixing tank currently contains 100 gallons of water into which 5 pounds of sugar have been mixed. A tap will open pouring 10 gallons per minute of water into the tank at the same time sugar is poured into the tank at a rate of 1 pound per minute. Find the concentration (pounds per gallon) of sugar in the tank after 12 minutes. Is that a greater concentration than at the beginning? In which of the molecules...
(1 point) A tank contains 11 gallons of water to start, 10 gallons of water flow into the tank while 9.5 gallons of water flow out of the tank per minute. Write a differential for the amount of water A(t) (in gallons) in the tank at time t in minutes A(0) Solve the differential equation: A(t) - Note: use A,A', etc instead of A(t), A(t) in your answers. After you set up your differential equation you will have to set...
9. A tank initially contains 80 gallons of sugar water having a sugar concen- tration of 5 pounds per gallon. A sugar solution with a concentration of 4 pounds per gallon is poured into the tank at a rate of 6 gal per minute and is thoroughly mixed at the same time. A drain is opened at the bottom of the tank so that the thoroughly mixed sugar water is leaving the tank at the same rate of 6 gal...
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 originally contains 100 gallons of fresh water. Water containing lb of salt per gallon is poured into the tank at a rate of 2 gallons per minute, and the mixture is allowed to leave at the same rate. After 10 minutes the salt water solution flowing into the tank suddenly switches to fresh water flowing in at a rate of 2 gallons per minute, while the solution continues to leave the tank at the same rate (a) Write...
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...
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...
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. A large mixing tank currently contains 100 gallons of water into which 5 pounds of sugar have been mixed. A tap will open pouring 10 gallons per minute of water into the tank at the same time sugar is poured into the tank at a rate of 1 pound per minute. Find the concentration (pounds per gallon) of sugar in the tank after 12 minutes. Is that a greater concentration than at the beginning? In which of the molecules...
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