OCR A-level Mathematics A · H240

Curve sketching

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OCR format & instructions

Calculator permitted. Give clear working in the answer booklet and label each part. Formulae are provided in the official question paper.

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QUESTION PAPER

Mathematics · A levelPure mathematics · H240/01

Torus Maths original · OCR 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]

(b)

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

[3]

(c)

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

[4]

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

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

(c)

Answer booklet · Question 1(c)

Need a nudge?Three small hints · no answer revealed