Edexcel A-level Mathematics · 9MA0

Curve sketching

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Edexcel format & instructions

Calculator permitted. Show sufficient working in the spaces provided. Give inexact answers to 3 significant figures unless specified otherwise. The official exam provides a formulae and statistical tables booklet.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

01 · Pure 1 · 100 marks · 2 hours
02 · Pure 2 · 100 marks · 2 hours
03 · Statistics & mechanics · 100 marks · 2 hours

Official specification ↗ · Official past papers ↗

QUESTION PAPER

Mathematics · A levelPure Mathematics practice · 9MA0

Torus Maths original · Edexcel style

The curve C has equation $y=x^3-12x+k$ , where k is a real constant.

(a)

Find the coordinates of the stationary points.

(3)

Working

(b)

Determine the values of k for which C meets the x-axis at three distinct points.

(3)

Working

(c)

When $k=16$ , find the exact area of the finite region bounded by C and the x-axis.

(4)

Working

(Total for Question 1 is 10 marks)

Question reference: edexcel-unseen-08-01Report a question →

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