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Numerical Methods

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Question 16

f(x)=ln⁡(4x+1)+x2−5x>−0.25f(x) = \ln(4x + 1) + x^2 - 5 \quad x > -0.25f(x)=ln(4x+1)+x2−5x>−0.25

a.

Show that f(x)=0f(x) = 0f(x)=0 has a root in the interval [1.7,1.8][1.7, 1.8][1.7,1.8]

[2]
b.

Find f′(x)f'(x)f′(x)

[3]
c.

Using x0=1.7x_0 = 1.7x0​=1.7 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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