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Graph each of the following funetions and find their corresponding Fourier series using propert of even and odd funetions wherever applicable. S 8 0

Graph each of the following funetions and find their corresponding Fourier series using propert of even and odd funetions wherever applicable. S 8 0

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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please help me, Number  7.26 (a and d, 7.28, and 7.29 (a)

FOURIER SERIES 7.26. Graph each of the following functions and find their corresponding Fourier series using properties of even and odd funetions wherever applicable. 8 0<z<2 1-8 2<=< 4 (a) f(x) = Period 4 (b) f(x) = Period 8 0 5x < 3 10 -3 <x< 0 2x (e) S(z) = 4z, 0 < z < 10, Period 10 (d) f(z) = Period 6 7.27. In each part of Problem 7.26, tell where the discontinuities of f(x) are located and to what value the series converges at these discontinuities. (2-z 0<z< 4 -6 4<a < 8 7.28. Expand f(z) = in a Fourier series of period 8. 7.29. (a) Expand f(z) = cos z, 0 < z < r, in a Fourier sine series. (6) How should f(x) be defined at z = 0 and = so that the series will converge to /(x) for
Transcribed Image Text:FOURIER SERIES 7.26. Graph each of the following functions and find their corresponding Fourier series using properties of even and odd funetions wherever applicable. 8 0<z<2 1-8 2<=< 4 (a) f(x) = Period 4 (b) f(x) = Period 8 0 5x < 3 10 -3 <x< 0 2x (e) S(z) = 4z, 0 < z < 10, Period 10 (d) f(z) = Period 6 7.27. In each part of Problem 7.26, tell where the discontinuities of f(x) are located and to what value the series converges at these discontinuities. (2-z 0<z< 4 -6 4<a < 8 7.28. Expand f(z) = in a Fourier series of period 8. 7.29. (a) Expand f(z) = cos z, 0 < z < r, in a Fourier sine series. (6) How should f(x) be defined at z = 0 and = so that the series will converge to /(x) for
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