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Numerical Methods

Quick questions on Numerical integration explained: H2 Further Mathematics

5short 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 the trapezium rule?
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The trapezium rule joins consecutive ordinates with straight lines:
What is simpson's rule?
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Simpson's rule fits parabolas through successive triples of points and needs an even number of strips:
What is q1?
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For nn strips, how many ordinates are there? [1 mark]
What is q2?
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State the weight pattern for Simpson's rule. [1 mark]
What is q3?
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Why must Simpson's rule use an even number of strips? [2 marks]

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