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O-LevelAdditional MathematicsDifferentiation and integration4037/11 · May/June 2020 · Q118 Marks

A curve is such that d²y/dx² = 5 cos 2x. This curve has a gradient of 3/4 at the point (-π/12, 5π/4). Find the equation of this curve.

  1. (a)A curve is such that d²y/dx² = 5 cos 2x. This curve has a gradient of 3/4 at the point (-π/12, 5π/4). Find the equation of this curve.[8]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [M1] M1 for k sin 2x
  2. [A1] Condone omission of c
  3. [M1] Dep on first M1 for attempt to find c
  4. [A1] c = 2
  5. [M1] M1 for attempt to integrate their dy/dx
  6. [A1] Condone omission of d
  7. [M1] Dep on previous M1 for attempt to find d
  8. [A1] Must have the equation for A1

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 8 marks.
Source
O-Level Additional Mathematics, May/June 2020 Paper 1 Variant 1, question 11.

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