Question

(1 point) A tank contains 70 kg of salt and 1000 L of water. Water containing 0.5 frac{kg}{L} of salt enters the tank at the rate 6 frac{L}{min}. The solution is mixed and drains from the tank at the rate 2 frac{L}{min}. A(t) is the amount of salt in the tank at time t measured in kilograms. (a) A(0) = 70 (kg) (b) A differential equation for the amount of salt in the tank is = 0. (Use t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is (d) A(t) = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = frac{kg}{L}

          (1 point) A tank contains 70 kg of salt and 1000 L of water. Water containing 0.5 frac{kg}{L} of salt enters the tank at the rate 6 frac{L}{min}. The solution is mixed and drains from the tank at the rate 2 frac{L}{min}. A(t) is the amount of salt in the tank at time t measured in kilograms.
(a) A(0) = 70 (kg)
(b) A differential equation for the amount of salt in the tank is  = 0. (Use t,A, A', A", for your variables, not A(t), and move everything to the left hand side.)
(c) The integrating factor is 
(d) A(t) =  (kg)
(e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.)
concentration =  frac{kg}{L}

$(1 point) A tank contains 70 kg of salt and 1000 L of water. Water containing 0.5 frackgL of salt enters the tank at the rate 6 fracLmin. The solution is mixed and drains from the tank at the rate 2 fracLmin. A(t) is the amount of salt in the tank at time t measured in kilograms. (a) A(0) = 70 (kg) (b) A differential equation for the amount of salt in the tank is = 0. (Use t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is (d) A(t) = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = frackgL$

Added by Deborah F.

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