Answered: 6. Let 1 f (x) - cos x + sin(2x), x E…

6. Let 1 f (x) - cos x + sin(2x), x E [0, 1] 2 Find the least squares polynomial approximation of degree 2 to the function f(x) on the given interval.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.5: Applications

Problem 2EQ

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Question

Let
1
f (x) –
cos x + sin(2x), x e [0, 1]
2
Find the least squares polynomial approximation of degree 2 to the function f(x) on the given interval.
6.

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