A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min
; it mixes with the solution there, and then the mixture is pumped out at a rate of 3 gal/min. determine a(t), the amount of salt in the tank at time t, if the concentration of salt in the inflow is variable and given by cin(t) = 2 + sin(t/4) lb/gal.
Adding the two equations 3x + 6y + 3x - 6y = 36+0 6x = 36 x = 6 . subtracting second equation from first (3x + 6y ) - (3x-6y) =36 -0 12y = 36 y = 3 . therefore x = 6 and y = 3 (6,3)