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Find the coefficients of the Fourier cosine series for f(x).

Find the coefficients of the Fourier cosine series for f(x).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2) Can you answer c and d please
The function f is defined for 0 < x < 2 by { Find the coefficients of the Fourier sine series for f(x). f(x) = 0 if 0<x< 1, if 1 < x < 2; 3 (1) b) Sketch the graph of the function to which the Fourier sine series converges on −6 ≤ x ≤ 6. Use X's to mark points showing what the Fourier sine series converges to at jump discontinuity.
Transcribed Image Text:The function f is defined for 0 < x < 2 by { Find the coefficients of the Fourier sine series for f(x). f(x) = 0 if 0<x< 1, if 1 < x < 2; 3 (1) b) Sketch the graph of the function to which the Fourier sine series converges on −6 ≤ x ≤ 6. Use X's to mark points showing what the Fourier sine series converges to at jump discontinuity.
Find the coefficients of the Fourier cosine series for f(x). Sketch the graph of the function to which the Fourier cosine series con- verges on -6 ≤ x ≤ 6. Use X's to mark points showing what the Fourier cosine series converges to at jump discontinuity.
Transcribed Image Text:Find the coefficients of the Fourier cosine series for f(x). Sketch the graph of the function to which the Fourier cosine series con- verges on -6 ≤ x ≤ 6. Use X's to mark points showing what the Fourier cosine series converges to at jump discontinuity.
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