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5. Find the function ax6 + bx5 + c which is closest to x on the interval [−1, 1]. Find an orthogonal basis of the space of polynomials {ax6+bx+c a, b, c = R}

5. Find the function ax6 + bx5 + c which is closest to x on the interval [−1, 1]. Find an orthogonal basis of the space of polynomials {ax6+bx+c a, b, c = R}

Advanced Engineering Mathematics
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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5. Find the function ax6 + bx5 + c which is closest to x on the interval [−1, 1]. Find an orthogonal basis of the space of polynomials {ax + bx5 +c|a, b, c = R}
Transcribed Image Text:5. Find the function ax6 + bx5 + c which is closest to x on the interval [−1, 1]. Find an orthogonal basis of the space of polynomials {ax + bx5 +c|a, b, c = R}
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