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3.7 Numerical methods (A-level only)

3.7 Numerical methods (A-level only)

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Question 32

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]
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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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