8. Diagram 8 shows part of the curve y = 2(x2 4). Y R&::::3%+**:':':' 999999999999 :: :9 t a; . X 1 '+ it ,+ E 9 3 y=2(x24) 7/ Diagram 8 (a) Find the coordinates of points A and B. [2 marks] (b) Hence, find the area of the shaded region P. [3 marks] (c) When the region R, which is bounded by the curve, the xaxis, the y-axis and the straight line y = k is revolved through 360 about the y-axis, the volume generated is 2071' units3. Find the value of k. [5 marks]