Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation for the amount of salt A (t) in the tank at time t > 0. After t minutes, there are [rate] gallons of brine in the tank. The rate at which salt is leaving is Rout= ([rate1] gal/min) · . A 300+t lb/gal = 2A 300+t lb/min Use the math editor to type out the differential equation for the amount of salt A (t) in the tank at time t > 0.
Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation for the amount of salt A (t) in the tank at time t > 0. After t minutes, there are [rate] gallons of brine in the tank. The rate at which salt is leaving is Rout= ([rate1] gal/min) · . A 300+t lb/gal = 2A 300+t lb/min Use the math editor to type out the differential equation for the amount of salt A (t) in the tank at time t > 0.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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