. Find Fourier series of the following functions on the interval [-1, 1]: a) f(x) = sin(6r), b) f(x) = sin() c) f(x) = 1 d) f(x) = x² e) f(x) = 1+ x2 S1 (1 xE|-1,0] f) f(x) = || те (0, 1] so 0 xE [-1,0] g) f(x) ле (0, 1]
. Find Fourier series of the following functions on the interval [-1, 1]: a) f(x) = sin(6r), b) f(x) = sin() c) f(x) = 1 d) f(x) = x² e) f(x) = 1+ x2 S1 (1 xE|-1,0] f) f(x) = || те (0, 1] so 0 xE [-1,0] g) f(x) ле (0, 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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![. Find Fourier series of the following functions on the interval [-1, 1]:
a) f(x) = sin(6r),
b) f(x) = sin()
c) f(x) = 1
d) f(x) = x²
e) f(x) = 1+ x2
%3D
ſ1 re[-1,0]
x E
f) f(x) =
x E (0, 1]
so
0 xe [-1,0]
g) f(x)
хе (0, 1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e59ed7a-e966-438c-812c-3b778976c3fb%2F3682343b-d6c5-4976-9d31-65e7f43071e8%2Fais9oge_processed.jpeg&w=3840&q=75)
Transcribed Image Text:. Find Fourier series of the following functions on the interval [-1, 1]:
a) f(x) = sin(6r),
b) f(x) = sin()
c) f(x) = 1
d) f(x) = x²
e) f(x) = 1+ x2
%3D
ſ1 re[-1,0]
x E
f) f(x) =
x E (0, 1]
so
0 xe [-1,0]
g) f(x)
хе (0, 1]
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