alpha=1beta=6gamma=13 10 4.Consider the funcționif -a

Name: alpha=1beta=6gamma=13 10 4.Consider the funcționif -a
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Description: alpha=1beta=6gamma=13 10 4.Consider the funcționif -a

(a) First we will find the Fourier sine series and then plot the partial sum using the online…

Answered: Consider the function if -a < x < 0…

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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alpha=1

beta=6

gamma=13

10 4.
Consider the funcțion
if -a <a <0
if x = 0
f(x) =
if 0 <x <a
(a) Plot the Nth partial sum the Fourier sine series of f(æ) for N = 5, 10, 50, and 200
along with ƒ (x) for -a < ¤ < a.
(b) Show that each of the maximum overshoots occurs near a discontinuity and that
they approach a limit which is approximately 9% more than the magnitude of the
jump at the discontinuity. This behavior is the Gibbs Phenomenon that was
mentioned in the class.

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