Use the following orthogonal polynomials on (0, 1) with respect to the weight function w(x)=1 Po-1, P,-x- P-x²-x+ P2=x-x+6 to construct the least square polynomial approximation of degree 2 for for f(x)=sin x, xE(0,1). Then a= O a. 12 sin 1+6 cos 1-12 O b. 6 cos 1-12 sin 1 -12 Oc 12 cos 1-6 sin 1-6 O d. 6 cos 1+12 sin 1-6 O e. 12 cos 1 +6 sin 1-12 O f. 6 sin 1-6 cos 1-12 g. 12 sin 1-6 cos 1-6
Use the following orthogonal polynomials on (0, 1) with respect to the weight function w(x)=1 Po-1, P,-x- P-x²-x+ P2=x-x+6 to construct the least square polynomial approximation of degree 2 for for f(x)=sin x, xE(0,1). Then a= O a. 12 sin 1+6 cos 1-12 O b. 6 cos 1-12 sin 1 -12 Oc 12 cos 1-6 sin 1-6 O d. 6 cos 1+12 sin 1-6 O e. 12 cos 1 +6 sin 1-12 O f. 6 sin 1-6 cos 1-12 g. 12 sin 1-6 cos 1-6
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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Equations and inequalities describe the relationship between two mathematical expressions.
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Transcribed Image Text:Use the following orthogonal polynomials on (0, 1) with respect to the weight function w(x)=1
Po=1, P=x-, P2=x²-x+
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to construct the least square polynomial approximation of degree 2 for for f(x)= sin x, x €(0,1).
Then a4=
O a. 12 sin 1 +6 cos 1-12
O b. 6 cos 1- 12 sin 1 - 12
Oc. 12 cos 1-6 sin 1-6
O d. 6 cos 1 +12 sin 1-6
O e. 12 cos 1 +6 sin 1 - 12
O f. 6 sin 1 -6 cos 1-12
O g. 12 sin 1 -6 cos 1 6
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