OCR A-level Mathematics A · H240

Applications of differentiation

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Extreme practice · Multi-step problems within A-level pure maths. Difficulty is an editorial judgement. These questions are self-reviewed, not ranked.

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01 · Pure · 100 marks · 2 hours
02 · Pure & statistics · 100 marks · 2 hours
03 · Pure & mechanics · 100 marks · 2 hours

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QUESTION PAPER

Mathematics · A levelPure mathematics · H240/01

Torus Maths original · OCR style

The curve C has equation $y=(x-3)^2\mathrm e^{-x/3}$ , $x\geq0$ .

(a)

Find the coordinates and nature of each stationary point.

[4]

(b)

Find the exact areas bounded by C and the x-axis on $0\leq x\leq3$ and on $3\leq x\leq9$ .

[5]

Question reference: ocr-a-level-extreme-01-01Report a question →

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

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