= cOs x, xo = 0, x1 = 0.6 and x2 = 0.9. Use cardinal/base functions to construct the Lagrange interpolation polynomial of degree at · Let f(x) Question 4 ( (a) ( most two to approximate f. Use cos (0.6) = 0.8 and cos (0.9) = 0.6.
= cOs x, xo = 0, x1 = 0.6 and x2 = 0.9. Use cardinal/base functions to construct the Lagrange interpolation polynomial of degree at · Let f(x) Question 4 ( (a) ( most two to approximate f. Use cos (0.6) = 0.8 and cos (0.9) = 0.6.
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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Transcribed Image Text:**Question 4**
(a) Let \( f(x) = \cos x \), \( x_0 = 0 \), \( x_1 = 0.6 \), and \( x_2 = 0.9 \).
Use cardinal/base functions to construct the Lagrange interpolation polynomial of degree at most two to approximate \( f \). Use \( \cos(0.6) = 0.8 \) and \( \cos(0.9) = 0.6 \).
(b) Use the Theorem of the course to find an error bound for the approximation.
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