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Numerical Methods

Quick questions on Newton-Raphson method explained: H2 Further Mathematics

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is sign error in the formula?
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It is xnffx_n - \dfrac{\mathrm{f}}{\mathrm{f}'}; a plus sign moves away from the root.
What is q1?
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Write the Newton-Raphson iteration formula. [1 mark]
What is q2?
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What does xn+1x_{n+1} represent geometrically? [1 mark]
What is q3?
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Why should the starting value avoid a turning point of f\mathrm{f}? [2 marks]

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