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O-LevelAdditional MathematicsLogarithmic and exponential functions4037/12 · May/June 2012 · Q98 Marks

Variables N and x are such that N = 200 + 50e^(x/100).

  1. (i)Find the value of N when x = 0.[1]
  2. (ii)Find the value of x when N = 600.[3]
  3. (iii)Find the value of N when dN/dx = 45.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2012). The mark or mark type is shown in brackets.

  1. [B1] B1 for 250
  2. [B1] B1 for 8 = e^(x/100)
  3. [M1] M1 for dealing with e correctly, using ln
  4. [A1] A1 for awrt 208
  5. [B1, B1] B1 for e^(x/100), B1 for (1/2)e^(x/100) or (50/100)e^(x/100)
  6. [M1] M1 for equating their dN/dx to 45 and attempt to solve
  7. [A1] A1 for 4700

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About this question

Topic
Logarithmic and exponential functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 8 marks.
Source
O-Level Additional Mathematics, May/June 2012 Paper 1 Variant 2, question 9.

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