A half range periodic function f(x) is defined by sin, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A half range periodic function f(x) is defined by
sin”,
0 < x <
{
UTM
f(x) =
1,
8 UTM (6)
70
TM OUTM
i. Sketch the graph of even extension of f(x) in the interval
-3π < x < 3T.
even UT2
UTM BU eve
2
< X < T.
ii. Sketch the graph of odd extension of f(x) in the interval
-3π < x < 3π.
UTM & UTM Sa
iii. Find the Fourier Cosine Series for f(x).
UTM 8U
Transcribed Image Text:A half range periodic function f(x) is defined by sin”, 0 < x < { UTM f(x) = 1, 8 UTM (6) 70 TM OUTM i. Sketch the graph of even extension of f(x) in the interval -3π < x < 3T. even UT2 UTM BU eve 2 < X < T. ii. Sketch the graph of odd extension of f(x) in the interval -3π < x < 3π. UTM & UTM Sa iii. Find the Fourier Cosine Series for f(x). UTM 8U
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