L The solution is mixed and min (1 point) A tank contains 50 kg of salt and 1000 L of water. Water containing 0.3 of salt enters the tank at the rate 12 L drains from the tank at the rate 4 A(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = (kg) = 0. (Use t,A, A', A", for your variables, not A(t), and move (b) A differential equation for the amount of salt in the tank is 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.) kg concentration = I
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