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the series converges at these discontinuities. (2- 0

the series converges at these discontinuities. (2- 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 number 7.28

 

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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