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1.9 Numerical Methods (A-level only)

1.9 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

1.9 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.9 Numerical Methods (A-level only)

125 exam-style questions on OCR A Level Maths 1.9 Numerical Methods (A-level only), covering 1.9.1 Locating roots by sign change (A-level only), 1.9.2 Failure of sign change methods (A-level only), 1.9.3 Simple iterative methods (A-level only), 1.9.4 Newton-Raphson method (A-level only), 1.9.5 Failure of iterative methods (A-level only), 1.9.6 Numerical integration (A-level only), and 1.9.7 Numerical methods in context (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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