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Question 25

A coordinate sketch of the downward-opening curve y = x(7 − x) and the horizontal line y = 6, with the region between them shaded and labelled R.

The sketch shows the curve y=x(7−x)y = x(7 - x)y=x(7−x) and the line y=6y = 6y=6

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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