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2. For the function f(x)=xnx ,given that X f(x) 0.105 0.130 0.155 0.180 -0.23665 -0.26523 -0.28897 -0.30866 0.205 -0.32487 By using a quadratic interpolation (calculate in 5 decimal places), estimate (a) x = 0.149 (b) x=0.1678 (c) x=0.20331 Hence, calculate the percentage of relative error.

2. For the function f(x)=xnx ,given that X f(x) 0.105 0.130 0.155 0.180 -0.23665 -0.26523 -0.28897 -0.30866 0.205 -0.32487 By using a quadratic interpolation (calculate in 5 decimal places), estimate (a) x = 0.149 (b) x=0.1678 (c) x=0.20331 Hence, calculate the percentage of relative error.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. For the function f(x)= xnx ,given that X f(x) 0.105 -0.23665 0.155 0.180 0.130 -0.26523 -0.28897 -0.30866 0.205 -0.32487 By using a quadratic interpolation (calculate in 5 decimal places), estimate (a) x = 0.149 (b) x=0.1678 (c) x=0.20331 Hence, calculate the percentage of relative error.
Transcribed Image Text:2. For the function f(x)= xnx ,given that X f(x) 0.105 -0.23665 0.155 0.180 0.130 -0.26523 -0.28897 -0.30866 0.205 -0.32487 By using a quadratic interpolation (calculate in 5 decimal places), estimate (a) x = 0.149 (b) x=0.1678 (c) x=0.20331 Hence, calculate the percentage of relative error.
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