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Northern IrelandMathsQuick questions

A2 1 Pure Mathematics

Quick questions on Numerical methods: root location, iteration and the trapezium rule - CCEA A-Level 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 wrong number of ordinates in the trapezium rule?
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With nn strips there are n+1n + 1 ordinates; the first and last are not doubled, the interior ones are.
What is q1?
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f(x)=x2−7f(x) = x^2 - 7. Show a root lies between 22 and 33. [2 marks]
What is q2?
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State the Newton-Raphson iteration formula. [1 mark]
What is q3?
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Using two strips, how many ordinates does the trapezium rule need? [1 mark]

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