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)
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)
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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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).
Transcribed Image Text:10° = 7/18=0.1745 20° = 7/9 = 0.3491| 30° =T/6=0.5236
S(x)
1.1585
1.2817
1.3660
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