9709/21

Mathematics 9709/21May/June 2015

Cambridge AS Level · Pure Mathematics 2 · worked solutions for every part, with the mark scheme

7
questions
50
marks
75
minutes

Topics Logarithmic and Exponential Functions · Algebra · Differentiation · Integration · Numerical Solution of Equations · Trigonometry

Q1AlgebraLogarithmic and Exponential FunctionsFree sample
(i)

Solve the equation 3x+4=3x11|3x + 4| = |3x - 11|.

3M
(ii)

Hence, using logarithms, solve the equation 3×2y+4=3×2y11|3 \times 2^y + 4| = |3 \times 2^y - 11|, giving the answer correct to 3 significant figures.

2M

The rest of this paper

6 more questions
  • Q2Logarithmic and Exponential Functions5M
  • Q3Differentiation5M
  • Q4Algebra7M
  • Q5Integration · Logarithmic and Exponential Functions · Numerical Solution of Equations8M
  • Q6Trigonometry · Integration10M
  • Q7Differentiation10M
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