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Numerical Methods

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Question 177

The diagram shows the part of the curve y=2xsin⁡xy = 2x \sin xy=2xsinx. The maximum point on the curve is denoted by PPP.

a.

Given that the equation tan⁡x+x=0\tan x + x = 0tanx+x=0 is satisfied by the xxx-coordinate of PPP, use the Newton-Raphson method, with a suitable initial value, to find the xxx-coordinate of PPP, giving your answer correct to 4 decimal places. Show the result of each iteration.

[4]
b.

Given that the xxx-coordinate of P P\,P is 2.0288, verify that it satisfies the equation tan⁡x+x=0\tan x + x = 0tanx+x=0.

[3]
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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