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ENG1014 - Engineering Numerical Analysis - S1 2025

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Integrate the following data using the composite Simpson's 1/3 rule. What is the output?

-5-4.5-4-3.5-3
85657

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What is the order of the polynomial that is applied for the Simpson's 1/3 rule?

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Which is the highest polynomial order that allows the trapezoidal rule to obtain an exact value for integration?

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Integrate the following data using the composite trapezoidal rule. What is the output?

-5-4.5-4-3.5
8565

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Which of the following statements is true regarding the number of segments required for the trapezoidal rule?

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What is the order of the polynomial that is applied for the trapezoidal rule?

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Which of the following statements is true regarding the number of points required for the trapezoidal rule?

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What is the minimum number of points required for a single application of the trapezoidal rule?

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