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O-LevelAdditional MathematicsDifferentiation and integration4037/12 · Oct/Nov 2015 · Q24 Marks

A curve, showing the relationship between two variables x and y, passes through the point P(-1,3). The curve has a gradient of 2 at P. Given that d²y/dx² = -5, find the equation of the curve.

  1. A curve, showing the relationship between two variables x and y, passes through the point P(-1,3). The curve has a gradient of 2 at P. Given that d²y/dx² = -5, find the equation of the curve.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.

  1. [M1] for attempt to integrate, do not penalise omission of arbitrary constant.
  2. [A1] Must have dy/dx =
  3. [DM1] for attempt to integrate their dy/dx, but penalise omission of arbitrary constant.
  4. [A1]

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2015 Paper 1 Variant 2, question 2.

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