Find the Lagrange form of interpolating polynomial p2(x) that interpolates the function f(x) =e-X² at the nodes x0 = 1, x1 = 0 and x2 =1. Further, find the value of p2(-0.9) (use 6-digit rounding). Compare the value with the true value f(-0.9) (use 6-digit rounding). Find the percentage error in this calculation.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Find the Lagrange form of interpolating polynomial p2(x) that interpolates the
function f(x) =e-X² at the nodes x0 = 1, x1 = 0 and x2 =1. Further, find the value
of p2(-0.9) (use 6-digit rounding). Compare the value with the true value f(-0.9)
(use 6-digit rounding). Find the percentage error in this calculation.
Transcribed Image Text:Find the Lagrange form of interpolating polynomial p2(x) that interpolates the function f(x) =e-X² at the nodes x0 = 1, x1 = 0 and x2 =1. Further, find the value of p2(-0.9) (use 6-digit rounding). Compare the value with the true value f(-0.9) (use 6-digit rounding). Find the percentage error in this calculation.
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