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O-LevelAdditional MathematicsDifferentiation and integration4037/21 · May/June 2017 · Q14 Marks

Find the equation of the curve which passes through the point (2, 17) and for which dy/dx = 4x³ + 1.

  1. (a)Find the equation of the curve which passes through the point (2, 17) and for which dy/dx = 4x³ + 1.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. [M1] Integrates
  2. [A1] [y =]x⁴ + x (+c) Both terms correct
  3. [DM1] 17 = 2⁴ + 2 + c Substitution of x = 2, y = 17 to find c
  4. [A1] y = x⁴ + x − 1 cao must have y =

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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, May/June 2017 Paper 2 Variant 1, question 1.

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