Topic: Polynomial Interpolation and Curve FittingNumerical Solutions to CE Problems Determine the piecewise quadratic fit P(x) to f(x) -- (see function below) with knots -1, -1/2,0, 1/2, 1. Estimate the error If - pl and compare with full Lagrange Polynomial Fit.(Non-anonymous question@)1f(x) =(1+x²) 2

As per the question we have to find the the best fit quadratic curve to the function f(x) =…

Answered: Determine the piecewise quadratic fit…

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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Determine the piecewise quadratic fit P(x) to f(x) -- (see function below) with knots -1, -1/2, 0, 1/2, 1. Estimate the error If - pl and compare with full Lagrange Polynomial Fit. (Non-anonymous question@) 1 f(x) = (1+x²) 2