Consider the function f(t) = t+1 for –

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the function f(t) =t+1 for –T<t<a. Select the option that could be the Fourier
series for the periodic extension of f with period 27, where in the options A, is non-zero, and at
least one of the constants An for n = 1,2, 3, ... is non-zero, and at least one of the constants
B, for n = 1, 2, 3, ... is non-zero.
Select one:
00
E Bn sin(nt)
n=1
Ao +L (А, сos (nt) + B, sin(nt))
n=1
E(An cos(nt) + B, sin(nt))
n=1
E An cos(nt)
n=1
Ao + An cos(nt)
n=1
Transcribed Image Text:Consider the function f(t) =t+1 for –T<t<a. Select the option that could be the Fourier series for the periodic extension of f with period 27, where in the options A, is non-zero, and at least one of the constants An for n = 1,2, 3, ... is non-zero, and at least one of the constants B, for n = 1, 2, 3, ... is non-zero. Select one: 00 E Bn sin(nt) n=1 Ao +L (А, сos (nt) + B, sin(nt)) n=1 E(An cos(nt) + B, sin(nt)) n=1 E An cos(nt) n=1 Ao + An cos(nt) n=1
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