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DUE: Al!IGUST 2026
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QUESTION 1
lo fm1l~fourier~expan~11·fortne ~function/(t) •t 2 - t:M thefnterval
(-,r1,r) withJ>erb:121r. lJWHitlize the standardttxrierseries repmsentation:
00
J(t) =·i;+E(ancos(nt) +~sin(~})
• t1=1
t Find"ang the be Compohent(UQ)
lheconstant termrepmsents tm averagevafueofthefunctionover.one fulperiott
·~·ttw,··0near·term~tistm~~.. i t s · ~ ~ ~ ~ · ~ · ~ ~ .
tozem ThisleavesMly the even component, t":
2.. Fr-"'-theCosineCoeffi
I.I IUDIM . . · - nts t,.
.~ICMI •'
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