9709/13

Mathematics 9709/13October/November 2023

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

11
questions
75
marks
110
minutes

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

Q14MIntegrationFree sample

A curve is such that its gradient at a point (x,y)(x, y) is given by dydx=x3x12\frac{dy}{dx} = x - 3x^{-\frac{1}{2}}. It is given that the curve passes through the point (4,1)(4, 1).

Find the equation of the curve.

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10 more questions
  • Q2Coordinate Geometry4M
  • Q3Trigonometry · Quadratics7M
  • Q4Series · Quadratics7M
  • Q5Series · Quadratics7M
  • Q6Quadratics7M
  • Q7Functions7M
  • Q8Trigonometry · Functions5M
  • Q9Differentiation · Coordinate Geometry8M
  • Q10Circular Measure · Trigonometry · Integration9M
  • Q11Differentiation · Integration · Coordinate Geometry10M
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