A periodic function f(t) has a Fourier series -(-1)" +1) 00 F(t) = 1+ cos(nat) +E (n-2) sin(nnt). n n=1 n=1 Select the option that gives first few terms of the Fourier series up to and including terms involving 3nt. Select one: 1 1+ cos(2nt) + sin(rt) + sin(2nt) + 1 sin(3nt) O 1+2 cos(2nt) + sin(rt) + sin(2nt) + sin(3nt) O 1+2 cos(rt) + 2 cos(3nt) + sin(at) + sin(2rt) + sin(3nt) 1 1 1 1+ cos(t) +cos(3rt) + sin(rt) + sin(2rt) + sin(37t) cos(3nt) + sin(Tt) + sin(2nt) + sin(3t) 3 4 9 1 1 1+ 2 cos(rt) + cos(3nt) + sin(rt) + sin(2nt) + sin(3rt) 4 9
A periodic function f(t) has a Fourier series -(-1)" +1) 00 F(t) = 1+ cos(nat) +E (n-2) sin(nnt). n n=1 n=1 Select the option that gives first few terms of the Fourier series up to and including terms involving 3nt. Select one: 1 1+ cos(2nt) + sin(rt) + sin(2nt) + 1 sin(3nt) O 1+2 cos(2nt) + sin(rt) + sin(2nt) + sin(3nt) O 1+2 cos(rt) + 2 cos(3nt) + sin(at) + sin(2rt) + sin(3nt) 1 1 1 1+ cos(t) +cos(3rt) + sin(rt) + sin(2rt) + sin(37t) cos(3nt) + sin(Tt) + sin(2nt) + sin(3t) 3 4 9 1 1 1+ 2 cos(rt) + cos(3nt) + sin(rt) + sin(2nt) + sin(3rt) 4 9
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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Transcribed Image Text:A periodic function f(t) has a Fourier series
'-(-1)" +1)
00
00
F(t) = 1+E
| cos(nt) + (n-²) sin(nat).
n=1
n=1
Select the option that gives first few terms of the Fourier series up to and including terms involving
3nt.
Select one:
1
1+ cos(2nt) + sin(nt) +sin(2nt) + sin(3rt)
1
O 1+2 cos(2nt) + sin(nt) + sin(2nt) + sin(3rt)
O 1+2 cos(rt) + 2 cos(3rt) + sin(nt) + sin(2rt) + sin(3rt)
1
1
1
1+ cos(at) +cos(3nt) + sin(at) +sin(2nt) + sin(3nt)
3
4
2
1
1
1+2 cos(nt) + cos(3nt) + sin(Tt) +sin(2nt) +sin(3rt)
4
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