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Numerical Methods

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Question 117

f(x)=ln⁡x+x2−4x>0f(x) = \ln x + x^2 - 4 \quad x > 0f(x)=lnx+x2−4x>0

a.

Show that f(x)=0f(x) = 0f(x)=0 has a root in the interval [1.8,1.9][1.8, 1.9][1.8,1.9]

[2]
b.

Find f′(x)f'(x)f′(x)

[3]
c.

Using x0=1.8x_0 = 1.8x0​=1.8 as a first approximation, apply the Newton-Raphson procedure to find a second approximation, giving your answer to 3 decimal places.

[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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