(2-c) Sketch the graph of the function represented by Cosine Fourier series (CFS) of f(x) in the interval (-6,+6)? (2-d) To what values does CFS converge to at the following points: X-2, -1,0, +1, +2?
(2-c) Sketch the graph of the function represented by Cosine Fourier series (CFS) of f(x) in the interval (-6,+6)? (2-d) To what values does CFS converge to at the following points: X-2, -1,0, +1, +2?
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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Question
C and D
![Consider a function f(x) defined as follows:
.if 0<x<1
if 1<x<2
....
Answer the following questions without finding any series:
(2-a) Sketch the graph of the function represented by Sine Fourier series (SFS) of f(x) in the
interval (-6,+6)?
Hint: Assume that SFS has a period T = 4.
(2-b) To what values does SFS converge to at the following points: x = -2, -1, 0, +1, +2?
(2-c) Sketch the graph of the function represented by Cosine Fourier series (CFS) of f(x) in the
interval (-6,+6]?
(2-d) To what values does CFS converge to at the following points: x= -2, -1, 0, +1, +2?
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Transcribed Image Text:Consider a function f(x) defined as follows:
.if 0<x<1
if 1<x<2
....
Answer the following questions without finding any series:
(2-a) Sketch the graph of the function represented by Sine Fourier series (SFS) of f(x) in the
interval (-6,+6)?
Hint: Assume that SFS has a period T = 4.
(2-b) To what values does SFS converge to at the following points: x = -2, -1, 0, +1, +2?
(2-c) Sketch the graph of the function represented by Cosine Fourier series (CFS) of f(x) in the
interval (-6,+6]?
(2-d) To what values does CFS converge to at the following points: x= -2, -1, 0, +1, +2?
Need all parts solution
If u don't know all parts please skip it because wrong answer gives u downvote
Correct answer = 6 likes
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