All topics

Edexcel A-level Mathematics · 9MA0

Applications of differentiation

0 of 9 reviewed · Working saved in this browser

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

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
1.

The curve C has equation y=(x−3)2e−x/3y=(x-3)^2\mathrm e^{-x/3}, x≥0x\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≤x≤30\leq x\leq3 and on 3≤x≤93\leq x\leq9.

(5)

(Total for Question 1 is 9 marks)

Question reference: edexcel-a-level-extreme-01-01Report a question →
Need a nudge?Three small hints · no answer revealed