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Numerical Methods

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Question 15

A coordinate diagram shows the graphs of y = ln(4x + 3) and y = x.

The diagram shows the graph of y=ln⁡(4x+3)y = \ln(4x + 3)y=ln(4x+3) and the graph of y=xy = xy=x.

Use the diagram to determine a possible starting value x1 x_1\,x1​ for which the iteration formula xn+1=ln⁡(4xn+3)x_{n+1} = \ln(4x_n + 3)xn+1​=ln(4xn​+3) can be used to find a root, justifying your answer.

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Markscheme

Numerical Methods Questions

  1. A Level
  2. /Maths
  3. /Numerical Methods

321 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.

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