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Numerical Methods

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Question 199

A curve has equation y=ln⁡(4−3x)+x2−3xy = \ln(4 - 3x) + x^2 - 3xy=ln(4−3x)+x2−3x. Given that the curve intersects the xxx-axis at exactly one point.

Use the Newton-Raphson method, with initial value x0=1x_0 = 1x0​=1, to find the xxx-coordinate of the point where the curve intersects the xxx-axis, giving your answer correct to 5 decimal places.

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Markscheme

Numerical Methods Questions

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

329 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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