solution is defined. 3. (20) A tank initially contains 5 litres of pure water. At time t mins. water containing 2 gm. salt per litre is pumped in the tank at a rate sin(t) litres/min, while the well mixed solution is pumped out at a rate of sin (t) litres/min. (a) Set up the IVP for the amount of salt Q(t) in the tank at time t. (b) Sketch the direction field, solution Q(t). (Do not solve for Q) (c) From the direction field find lim Q(t). 4. (10) For which (to) does sub