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Question 47

Coordinate diagram showing the x-axis and y-axis, the downward-opening curve y=x(9−x), the horizontal line y=8, and a shaded region R.

The sketch shows the curve y=x(9−x)y = x(9 - x)y=x(9−x) and the line y=8y = 8y=8

a.

Find the coordinates of the points where the line intersects the curve.

[2]
b.

Find the area of the shaded region R.

[6]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

411 exam-style questions on Edexcel A Level Maths Integration, covering 13.1 Integrating x^n, 13.2 Indefinite Integrals, 13.3 Finding Functions, 13.4 Definite Integrals, 13.5 Areas under Curves, 13.6 Areas under the x-axis, and 13.7 Areas between curves and lines. Each one has a worked solution and a mark scheme showing where the marks go.

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