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9709/12

Mathematics 9709/12 — February/March 2022

Cambridge AS Level · Pure Mathematics 1 · worked solutions for every part, with the mark scheme

11
questions
75
marks
110
minutes

Topics Quadratics · Coordinate Geometry · Integration · Series · Functions · Trigonometry · +2 more

Q14MIntegrationFree sample

A curve with equation y=f(x)y = f(x) is such that f′(x)=2x−13−x13f'(x) = 2x^{-\frac{1}{3}} - x^{\frac{1}{3}}. It is given that f(8)=5f(8) = 5.

Find f(x)f(x).

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10 more questions
  • Q2Quadratics5M
  • Q3Series6M
  • Q4Series · Quadratics6M
  • Q5Quadratics · Functions6M
  • Q6Coordinate Geometry · Quadratics8M
  • Q7Trigonometry7M
  • Q8Coordinate Geometry · Integration8M
  • Q9Quadratics · Functions8M
  • Q10Coordinate Geometry · Circular Measure · Trigonometry8M
  • Q11Differentiation9M
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