May/June 2026 Paper 11

2026 · 11 questions · 19 parts · 75 marks

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8Areas Volumes Arc LengthHard8 marks
graph on x- and y-axes through the origin O of the curve y = 5/(2x-1), a decreasing branch for x > 1/2 that rises steeply near a vertical asymptote at x = 1/2, together with the line y = 7-2x descending from a positive y-intercept; the curve and line cross at two points, and the shaded region between them (curve as the lower boundary, line as the upper boundary) lies between those two crossing points.
The diagram shows part of the curve with equation and the line .
Find the exact volume formed when the shaded region is rotated through about the -axis.
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