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Numerical Methods

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Question 64

h(x)=2x4+x2+3x−20h(x) = 2x^4 + x^2 + 3x - 20h(x)=2x4+x2+3x−20

a.

Find h′(x)h'(x)h′(x)

[2]
b.

The root of h(x)=0h(x) = 0h(x)=0 lies in the interval [1.4,1.8][1.4, 1.8][1.4,1.8].

Use the Newton-Raphson method, starting with x0=1.6x_0 = 1.6x0​=1.6, to find the root of h(x)=0h(x) = 0h(x)=0 to 3 decimal places.

[5]
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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