


Population Growth 3. A city had a population of 23000 in 2000 and a population of...
with details.
3. A large tank contains 800 gal of water in which 42 lb of salt are dissolved. Brine containing 2 lb of of dissolved salt per gal is pumped into the tank at a rate of 4 gal per minute, and the mixture, kept uniform by stirring, is pumped out at the same rate. (a) Find the amount x(t) of salt in the tank, at time t. (b) How long will it take for the amount of salt...
Can you show all the steps please?
A salt tank contains 50 lbs of salt dissolved in a 300 gallon tank. A brine mixture with a concentration of 2 lbs of salt per gallon is pumped into the tank at a rate of 3 gallons per minute. The mixture is distributed uniformly in the tank and the mixture is drained at the same rate of 3 gallons per minute input rate of brine 3 gal/min constant 300 gal A Set...
Question 2 (32 points) A large tank is filled to capacity with 200 gallons of pure water. Brine containing 5 pounds of salt per gallon is pumped into the tank at a rate of 18 gallons per minute. The well-mixed solution is pumped out at the same rate. Find the amount of salt in pounds after 10 minutes. (round to the nearest tenth of a pound) Your Answer: Answer
1. Consider the following figure below that shows two brine tanks r galmin fresh water Tank 1 anks 2 containing and V, gallons of brine respectively. Fresh water flows into tank 1, while mixed brine flows from tank l into tank 2· Let x(1) denote the amount (in pounds) ofsalt in tank i at time for i-1,2. Ifeach flow rate is r gallons per minute, then a simple account of salt concentration yields the first-order system where 1,2 If V-50,...
1. Consider the following figure below that shows two brine tanks r gal/min fresh water Tank 1 anks 2 containing V and V gallons of brine respectively. Fresh water flows into tank 1, while mixed brine flows from tank 1 into tank 2. Let x,() denote the amount (in pounds) of salt in tank i at time for i-1,2. If each flow rate is r gallons per minute, then a simple account of salt concentration yields the first-order system where...
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 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...
you need to include the ODE. the initial value, the solution to the IVP, and answer to the question. you'll need to leave the answer in terms of exponential and/or logarithms. A) a pizza is removed from an oven at a temperature of 400F. one minute later, the pizza of the temperature is 300F, if the room temperature is 70F, how long will it take the pizza to reach a temperature of 200F? B) A large tank is partially filled...
you need to include the ODE. the initial value, the solution to the IVP, and answer to the question. you'll need to leave the answer in terms of exponential and/or logarithms. A) a pizza is removed from an oven at a temperature of 400F. one minute later, the pizza of the temperature is 300F, if the room temperature is 70F, how long will it take the pizza to reach a temperature of 200F? B) A large tank is partially filled...
Couipaiy 27, A large tank is partially filled with 400 L of fluid in which 5 kg of salt is dissolved. Brine containing 0.25 kg of salt per liter is pumped into the tank at a rate of 20 Lmin. The well-mixed solution is then pumped out at a slower rate of 15 L/min. Find the number of kilograms of salt in the tank after 30 minutes.
Couipaiy 27, A large tank is partially filled with 400 L of fluid...