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FOURIER SERIES Every periodic function f(t) which has the period T 2Tt/o and has certain continuity conditions can be represented by a series plus a constant fAt)= a a, cos (noof)b,sin (n) п %3 The above holds iff(t) has a continuous derivative f'(t) for all t. It should be noted that the various sinusoids present in the series are orthogonal on the interval 0 to T and as a result the coefficients are given by 0(1/T)t)dt a, (2/T)t) cos (nf)dt (2/T)t)sin(nwof)dt -T 1,2, ... п %3D COS 1,2,.. П — The constants an and bn are the Fourier coefficients of f(t) for the interval 0 to T and the corresponding series is called the Fourier series of f(t) over the same interval. SRasde Ao= 3 Cosnwt ct sinsnw nus Sinws SinnwatdlA COSShws1) 5nws PEL= 3 +S 6Sintnuss CoSsnw t 6COS(SnWa 6 5nwo Sin pwot

FOURIER SERIES Every periodic function f(t) which has the period T 2Tt/o and has certain continuity conditions can be represented by a series plus a constant fAt)= a a, cos (noof)b,sin (n) п %3 The above holds iff(t) has a continuous derivative f'(t) for all t. It should be noted that the various sinusoids present in the series are orthogonal on the interval 0 to T and as a result the coefficients are given by 0(1/T)t)dt a, (2/T)t) cos (nf)dt (2/T)t)sin(nwof)dt -T 1,2, ... п %3D COS 1,2,.. П — The constants an and bn are the Fourier coefficients of f(t) for the interval 0 to T and the corresponding series is called the Fourier series of f(t) over the same interval. SRasde Ao= 3 Cosnwt ct sinsnw nus Sinws SinnwatdlA COSShws1) 5nws PEL= 3 +S 6Sintnuss CoSsnw t 6COS(SnWa 6 5nwo Sin pwot

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Hi,

kindly advise if my answer is accurate or not based on the given Fourier series coefficients.

 

FOURIER SERIES Every periodic function f(t) which has the period T 2Tt/o and has certain continuity conditions can be represented by a series plus a constant fAt)= a a, cos (noof)b,sin (n) п %3 The above holds iff(t) has a continuous derivative f'(t) for all t. It should be noted that the various sinusoids present in the series are orthogonal on the interval 0 to T and as a result the coefficients are given by 0(1/T)t)dt a, (2/T)t) cos (nf)dt (2/T)t)sin(nwof)dt -T 1,2, ... п %3D COS 1,2,.. П — The constants an and bn are the Fourier coefficients of f(t) for the interval 0 to T and the corresponding series is called the Fourier series of f(t) over the same interval.
Transcribed Image Text:FOURIER SERIES Every periodic function f(t) which has the period T 2Tt/o and has certain continuity conditions can be represented by a series plus a constant fAt)= a a, cos (noof)b,sin (n) п %3 The above holds iff(t) has a continuous derivative f'(t) for all t. It should be noted that the various sinusoids present in the series are orthogonal on the interval 0 to T and as a result the coefficients are given by 0(1/T)t)dt a, (2/T)t) cos (nf)dt (2/T)t)sin(nwof)dt -T 1,2, ... п %3D COS 1,2,.. П — The constants an and bn are the Fourier coefficients of f(t) for the interval 0 to T and the corresponding series is called the Fourier series of f(t) over the same interval.
SRasde Ao= 3 Cosnwt ct sinsnw nus Sinws SinnwatdlA COSShws1) 5nws PEL= 3 +S 6Sintnuss CoSsnw t 6COS(SnWa 6 5nwo Sin pwot
Transcribed Image Text:SRasde Ao= 3 Cosnwt ct sinsnw nus Sinws SinnwatdlA COSShws1) 5nws PEL= 3 +S 6Sintnuss CoSsnw t 6COS(SnWa 6 5nwo Sin pwot
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