Let ((t++)² for x E (-n, -1/2] for t E (-n/2,1/2] for t e (T/2, 7], and let f: R- R be its 277 periodic extension Then the Fourlier series of 7 is of the type | f(t) := Cos t O 1+ a, cos(nt) n=1 an cos(nt) n=1 00 2+ 12 bn sin(nt) 1 E an cos (nt) 24 n=1 + +
Let ((t++)² for x E (-n, -1/2] for t E (-n/2,1/2] for t e (T/2, 7], and let f: R- R be its 277 periodic extension Then the Fourlier series of 7 is of the type | f(t) := Cos t O 1+ a, cos(nt) n=1 an cos(nt) n=1 00 2+ 12 bn sin(nt) 1 E an cos (nt) 24 n=1 + +
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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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![Let
(t +7)? for x E(-T, -1/2]
for t E (-1/2,7/2]
(t - 7) for t E (T/2, 7),
f(t):=
Ccos t
and let R R be its 27 periodic extension. Then the Fourier series of is of the type
o 1+ ) a, cos(nt)
n=1
00
a, cos(nt)
n=1
2+
12
b, sin(nt)
n=1
+ an cos (nt)
24
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F716f3f06-34c8-4d63-a2bd-44de3450d172%2F42b55eeb-9d88-4899-b7ae-26a508efc249%2Fjud7bk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let
(t +7)? for x E(-T, -1/2]
for t E (-1/2,7/2]
(t - 7) for t E (T/2, 7),
f(t):=
Ccos t
and let R R be its 27 periodic extension. Then the Fourier series of is of the type
o 1+ ) a, cos(nt)
n=1
00
a, cos(nt)
n=1
2+
12
b, sin(nt)
n=1
+ an cos (nt)
24
n=1
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