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3.8 Numerical Methods (A-level only)

3.8 Numerical Methods (A-level only)

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Question 3

The curve C C\,C with equation y=exy = e^xy=ex meets the line L L\,L with equation y=5x−1y = 5x - 1y=5x−1 at the point PPP.

a.

Show that the xxx-coordinate of P P\,P satisfies x=ln⁡(5x−1)x = \ln(5x - 1)x=ln(5x−1).

[2]
b.

Use the iteration formula

xn+1=ln⁡(5xn−1)x_{n+1} = \ln(5x_n - 1)xn+1​=ln(5xn​−1)

with x0=2.5x_0 = 2.5x0​=2.5 to find, to three decimal places, the values of x1x_1x1​, x2 x_2\,x2​ and x3x_3x3​.

[3]
Markscheme

3.8 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.8 Numerical Methods (A-level only)

129 exam-style questions on WJEC A Level Maths 3.8 Numerical Methods (A-level only), covering 3.8.1 Numerical Methods (A-level only), 3.8.2 Numerical Methods (A-level only), 3.8.3 Numerical Methods (A-level only), 3.8.4 Numerical Methods (A-level only), and 3.8.5 Numerical Methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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