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(x) = cosx + sinx function; (Table attached in to description) table is given. a) Find the Lagrange interpolation polynomial P2(x) interpolating the function f(x). b) Using this polynomial, calculate the values of f(pi / 12 = 0.2618) and P2(pi / 12 = 0.2618) with seven digits after the comma. c) Determine an error upper limit for R2(

(x) = cosx + sinx function; (Table attached in to description) table is given. a) Find the Lagrange interpolation polynomial P2(x) interpolating the function f(x). b) Using this polynomial, calculate the values of f(pi / 12 = 0.2618) and P2(pi / 12 = 0.2618) with seven digits after the comma. c) Determine an error upper limit for R2(

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. for f (x) = cosx + sinx function;

(Table attached in to description)

table is given.

a) Find the Lagrange interpolation polynomial P2(x) interpolating the function f(x).

b) Using this polynomial, calculate the values of f(pi / 12 = 0.2618) and P2(pi / 12 = 0.2618) with seven digits after the comma.

c) Determine an error upper limit for R2(x).

X, =1 x = 2 x, = 3 0.6931471806 1.098612289 1.386294361 S(x) X3 = 4
Transcribed Image Text:X, =1 x = 2 x, = 3 0.6931471806 1.098612289 1.386294361 S(x) X3 = 4
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