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O-LevelAdditional MathematicsDifferentiation and integration4037/12 · Oct/Nov 2018 · Q25 Marks

Find the equation of the curve which has a gradient of 4 at the point (0, -3) and is such that d²y/dx² = 5 + e^(2x).

  1. (a)Find the equation of the curve which has a gradient of 4 at the point (0, -3) and is such that d²y/dx² = 5 + e^(2x).[5]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [M1] For attempt to integrate to get dy/dx in the form 5x + pe^(2x). Condone omission of + c
  2. [M1] Dep For attempt to get value of c
  3. [M1] Dep on first M1 only For attempt to get y in the form including (5x²/2) + pe^(2x). Condone omission of + d.
  4. [M1] Dep on previous DepM1 For attempt to obtain d, allow if c not found
  5. [A1] Must have an equation

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2018 Paper 1 Variant 2, question 2.

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