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3.7 Numerical methods (A-level only)

3.7 Numerical methods (A-level only)

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Question 25

g(x)=x5+2x2+x−8g(x) = x^5 + 2x^2 + x - 8g(x)=x5+2x2+x−8

a.

Find g′(x)g'(x)g′(x)

[2]
b.

The root of g(x)=0g(x) = 0g(x)=0 lies in the interval [1.0,1.5][1.0, 1.5][1.0,1.5].

Use the Newton-Raphson method, starting with x0=1.3x_0 = 1.3x0​=1.3, to find the root of g(x)=0g(x) = 0g(x)=0 to 3 decimal places.

[5]
Markscheme

3.7 Numerical methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.7 Numerical methods (A-level only)

125 exam-style questions on CCEA A Level Maths 3.7 Numerical methods (A-level only), covering 3.7.1 Numerical methods (A-level only), 3.7.2 Numerical methods (A-level only), 3.7.3 Numerical methods (A-level only), and 3.7.4 Numerical methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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