Calculus

posted by .

Two 100-gallon tanks initially contain pure water. Brine containing 2 lb of salt per gallon enters the first tank at the rate of 1 gal/min, and then the mixed solution drains into the second tank at the same rate. There, it is again thoroughly mixed and drains at the same rate, 1 gal/min.

Let S(t)=S(1)-S(2). Intuitively, S(t)>=0 for all t. At what time is the excess S(t) maximized? What is the maximum excess?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Tank 1 initial contains 70 L (liters) of water and 450 g of salt, while tank 2 initially contains 20 L of water and 200 g of salt. Water containing 10 g/L of salt is poured into tank1 at a rate of 1 L/min while the mixture flowing …
  2. Calculus

    A large tank is filled with 200 gallons of pure water. Brine containing 1 pound of salt per gallon is pumped into the tank at the rate of 5 gallon per minute. The well-mixed solution is pumped out at the same rate. (a) Find the number …
  3. Calculus

    A tank contains 2920 L of pure water. A solution that contains 001 kg of sugar per liter enters a tank at the rate 4 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially?
  4. Differential Equations

    A tank originally contains 5 lb of salt dissolved in 200 gal of water: Starting at time t=0, a salt solution containing 0.10 lb/gal is to be pumped into the tank at a constant rate and the well-stirred mixture is to flow out of the …
  5. MATH..-HELP ME PLEASE GUYS..THIS DUE TMORROW!!!!..

    Suppose tank A consist of 500 liter brine with 500gm salt dissolved in it, whereas in tank B containing 500 liter of water. Water is allowed to enter tank A at a rate of 30 liter/minute, and that mixed solution flow from tank A to …
  6. Calculus

    Two full 48-gallon tanks begin draining at t = 0. Tank Alpha's volume is changing at a constant rate of -16/5 gal/min. The rate at which Tank Bravo's volume is changing is given by r(t)=-1/3t-1 gal/min. a) How much water is in each …
  7. chemical calculations

    Brine from a first tank runs into a second tank at 2 gallons per minute and brine from the second tank runs into the first at 1 gallon per minute.Initially,there are 10 gallons of brine containing 20 lb of salt in the first tank and …
  8. ordinary differential equation

    A contains 200 liters of solution in which is dissolved 40 kg of salt. Tank B contains 400 liters of solution in which are dissolved 80 kg of salt. Pure water flows into tank A at rate of 10 liters per second. There is a drain at the …
  9. CALC

    A 200-gallon tank is currently half full of water that contains 50 pounds of salt. A solution containing 1 pounds of salt per gallon enters the tank at a rate of 6 gallons per minute, and the well-stirred mixture is withdrawn from …
  10. calculus

    500-gallon tank initially contains 200 gallons of brine containing 100 pounds of dissolved salt. Brine containing 2 pounds of salt per gallon flows into the tank at the rate of 4 gallons per minute, and the well-stirred mixture flows …

More Similar Questions