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3.7 Numerical methods (A-level only)

3.7 Numerical methods (A-level only)

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Question 17

h(x)=ln⁡(x+2)+0.5x2−4x>−2h(x) = \ln(x + 2) + 0.5x^2 - 4 \quad x > -2h(x)=ln(x+2)+0.5x2−4x>−2

a.

Show that h(x)=0h(x) = 0h(x)=0 has a root in the interval [2.2,2.3][2.2, 2.3][2.2,2.3]

[2]
b.

Find h′(x)h'(x)h′(x)

[3]
c.

Using x0=2.2x_0 = 2.2x0​=2.2 as a first approximation, apply the Newton-Raphson procedure to find a second approximation, giving your answer to 3 decimal places.

[3]
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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