Determine the trigonometric interpolating polynomial S2(x) of degree 2 on [Ï, Ï] for the following functions, and

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Determine the trigonometric interpolating polynomial S2(x) of degree 2 on [ˆ’Ï€, Ï€] for the following functions, and graph f (x) ˆ’ S2(x):
a. f (x) = Ï€(x ˆ’ Ï€)
b. f (x) = x(Ï€ ˆ’ x)
c. f (x) = |x|
d.
|-1, -7 <I<0 f(x) = %3! 1. 0 <x<A
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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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