Question

1. Find the Fourier coefficients of the given functions. (a) f(c) = (cos x + sin x)?, -1 < x < T; f(x + 2) = f(x)(b) f(x) = x, -1 < x < T; f(x + 2) = f(x)(b) f(x) = x, -1 < x < T; f(x + 2) = f(x)

(c) f(x) = - <x<0, ; f(x + 27) = f(2) 0<x<TT cos x,

Please show work for 1a through c. Will rate thumbs up for all parts shown!

Thank you!

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Answer #1

01. Aus! (a) f(a)= (cesat pinx2 teent fala cosent sint xta eesrosina fag2 (2 to sinan). It is given tuat, the above functionan sacensores at dine med 2 mi) - simenamen) dla к ricorns + sin (42)x - in (n.2x de 1 l cinnn r cos (42)x - ces (n-2a N 2 (+1 cesht t sin (2-0) -sin (aansa n 2 (2n) 2 (2 any cosnt & sin (arn) et sin (2+2) (7) In 21256) 272+ bna 2 / 2 1 - Costa & Sinom ee [ Reed ng + sinna 3 *** 17 * cesh of eas-non binne 4 sin. - sin-mall a *Untha in In a corne + hipno na cestoran di sampbn = 1 * coix Rinne data for sure A bnat e Min (ntnx) + fin (noon) dat o bn--t & brints = -cos (ntl)x - ces (nl) n on 2x L in

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