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3.8 Numerical Methods (A-level only)

3.8 Numerical Methods (A-level only)

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Question 33

f(x)=12x2+5cos⁡(x)\displaystyle f(x) = \frac{1}{2}x^2 + 5\cos(x)f(x)=21​x2+5cos(x)

a.

Show that y=f(x)y = f(x)y=f(x) has a stationary point in the interval [2.5,2.6][2.5, 2.6][2.5,2.6]

[5]
b.

Starting with x0=2.55x_0 = 2.55x0​=2.55, apply the Newton-Raphson procedure twice to find an approximation for the x x\,x coordinate of the stationary point in the interval [2.5,2.6][2.5, 2.6][2.5,2.6]. Give your answer to 3 decimal places.

[4]
Markscheme

3.8 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.8 Numerical Methods (A-level only)

129 exam-style questions on WJEC A Level Maths 3.8 Numerical Methods (A-level only), covering 3.8.1 Numerical Methods (A-level only), 3.8.2 Numerical Methods (A-level only), 3.8.3 Numerical Methods (A-level only), 3.8.4 Numerical Methods (A-level only), and 3.8.5 Numerical Methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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