Recall that a function f is an even function if f(- x) = f(x) for all x;f

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Recall that a function f is an even function if f(- x) = f(x) for all x;f is called an odd function if f (- x) = - f (x) for all x.
(a) Prove that

if f is an even function.
(b) Prove that the Fourier coefficients bk are all zero if f is even.

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Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

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Question Posted: Apr 15, 2016 06:37 AM

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Recall that a function f is an even function if f(- x) = f(x) for all x;f

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f(x)dx= 2 | f(x) dx

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a For any function fx we have In the first integral on the right make the substituti...View the full answer

Linear Algebra A Modern Introduction

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