Assess the accuracy of the answers obtained in Question 96 using quadratic interpolation (Lagranges formula, (2.11)). Data

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Assess the accuracy of the answers obtained in Question 96 using quadratic interpolation (Lagrange’s formula, (2.11)).

Data from Question 96

The function INT(x) is defined as the ‘nearest integer to x, with rounding up in the ambiguous case’. Sketch the graph of this function and express it in terms of [x].

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 04, 2024 06:16 AM

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The function INT(x) is defined as the nearest integer to x, with rounding up in the ambiguous case. Sketch the graph of this function and express it in terms of [x].
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Assess the accuracy of the answers obtained in Question 96 using quadratic interpolation (Lagranges formula, (2.11)). Data

Question:

f(x) = (x -x)(x - x) (Xo-x)(xo-X)` -fo + (x - x0)(x - x) (x - xo)(x - x) (x - x)(x-x) -fi + (x - Xo)(x-x)" -$ (2.11)

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The Lagrange interpolation formula gives The solution ne...View the full answer

Modern Engineering Mathematics

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