Mathematics (AS & A Level) · May / June 2017 · Paper 12 · Question 6

x y O A 1, 4 B 4, 1 x + y = 5 y = 4 x The diagram shows the straight line x + y = 5 intersecting the curve y = 4 x at the points A 1, 4 and B 4, 1 . Find, showing all necessary working, the volume obtained when the shaded region is rotated through 360Å about the x-axis. [7] 11

Read automatically from the paper; the printed page above is exact.