Answered: 6. Find the Fourier Series of the given…

Math

Advanced Math

6. Find the Fourier Series of the given periodic function. if - n ≤t<0. f(t) = {_t 4, -1, if 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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Question

100%

Multiple Choice
Choose the best answer. Type "E" if none of the choices is your answer, and "F" if it has
more than one possible answer. Utilize the given shown below for items referring to a
specific expression.

6. Find the Fourier Series of the given periodic function.
f(t) = { _ 1,
4,
if -π ≤t<0
if 0<t<if(t + 2n) = f(t)
3
10
a.
f(t) = -1 (sint + sin³t+ sins +
+ ...
T
5
3
sin2t
sin4t
b.
f(t) =
sint +
+ ...
2
TL
2
4
10
sin3t
sin5t
c. f(t) = 1-
sint +
+
TT
3
5
sin2t
sin4t
d. f(t) = 1(sint +
+ ...
TL
2
4
+

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