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1.10 Numerical Methods (A-level only)

1.10 Numerical Methods (A-level only)

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Question 36

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

1.10 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.10 Numerical Methods (A-level only)

137 exam-style questions on OCR (MEI) A Level Maths 1.10 Numerical Methods (A-level only), covering 1.10.1 Locate roots by change of sign (A-level only), 1.10.2 When change of sign methods fail (A-level only), 1.10.3 Fixed point iteration (A-level only), 1.10.4 Newton-Raphson method (A-level only), 1.10.5 Convergence of iterations (A-level only), 1.10.6 Trapezium rule (A-level only), 1.10.7 Upper and lower bounds using rectangles (A-level only), and 1.10.8 Numerical methods to solve problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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