1- 2- 1. Consider the family of curves y = 22 + c family of orthogonal...
A brine solution of salt flows at a constant rate of 5 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 4 L/min. If the concentration of salt in the brine entering the tank is 0.3 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank...
2. (4 points) 100 lb of salt is dissolved in a tank containing 300 gal of water. A salt solution with concentration 3 lb/gal is poured into the tank at 2 gal/min. The mixture is well-stirred and then flows out at the same rate the brine is entering the tank. Find the amount of salt in the tank at time t.
Find the mass of the salt in the tank after t min. When will the concentration of the salt in the tank reach 0.2 kg/L? A brine solution of salt flows at a constant rate of 6 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 5 L/min. If the concentration of salt in the brine entering...
The orthogonal trajectories of the family of curves 2 = 2y - 1+ Ce"where is an arbitrary constant is given by the family of curves 2y=**** where x arbitrary constant ยบ + where x ban arbitrary constant None of them + y = + where Karbary.com + is where is an arbitrary constant
4. Suppose there are two tanks, each containing 200 l of fluid. Tank 1 initially contains pure water and tank 2 initially contains water with 200 kg of salt dissolved. The tanks are stirred constantly so their solutions have uniform concentration. There is a pipe which takes 10 l/min from tank 1 to tank 2, and another pipe which takes 5 l/min from tank 2 to tank 1. Also, pure water is being pumped into tank 1 at a rate...
The orthogonal trajectories of the family of curves 22 = 2y - 1+ Ce-24, where is an arbitrary constant, is given by the family of curves None of them * + y2 + k where k is an arbitrary constant 4 24 xy? + k where k is an arbitrary constant 4 x+y= + k where k is an arbitrary constant 4 O 2? + y 24 4 + k where K is an arbitrary constant
*Using Differential Equations 3. A solution containing 0.2 kg/l of salt is pumped into a tank containing 51 of pure water at a rate of 317 min. If the well stirred mixture is pumped from the tank at the same rate of 31/min, how long does it take in minutes for the liquid in the tank to contain 0.5 kg of salt?
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 4 Umin and from B into A at a rate of 1 L/min The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of 8 L/min. The (diluted) solution flows out of the system from 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)
I just need help understand where I get the 7 for the dx/dt 1. (5 points) Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from Tank A into Tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into Tank A...