Let f(x) = 1- x on 0, T|. The Fourier cosine series of f on 0, T is a) None of these (-1)" cos (! b) COS n?n? n=1 c) 1 2[1-(-1)"] cos(nx) 2 n=1 d) 1- +E 2[1-(-1)"] n²² cos(nnx) n=1 2|1-(-1)") cos(nx) e) 1-+ n=1
Let f(x) = 1- x on 0, T|. The Fourier cosine series of f on 0, T is a) None of these (-1)" cos (! b) COS n?n? n=1 c) 1 2[1-(-1)"] cos(nx) 2 n=1 d) 1- +E 2[1-(-1)"] n²² cos(nnx) n=1 2|1-(-1)") cos(nx) e) 1-+ 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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Question
![Let f(x)
=1- x on 0, T|. The Fourier cosine series of f on 0, T| is
a) None of these
b)
글 + Σ
(-1)" cos (
2
c)
1
Σ
2[1-(-1)"]
cos(nx)
-
n=1
d)
1-+E
2[1-(-1)"]
n²²
cos(nTx)
n=1
2[1-(-1)") cos(nx)
e)
1-+
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9133870-6329-47fc-8646-3a7c388192b7%2F433e9e55-e7b0-4591-8dcd-2b6758f67ef5%2Fufopn66_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x)
=1- x on 0, T|. The Fourier cosine series of f on 0, T| is
a) None of these
b)
글 + Σ
(-1)" cos (
2
c)
1
Σ
2[1-(-1)"]
cos(nx)
-
n=1
d)
1-+E
2[1-(-1)"]
n²²
cos(nTx)
n=1
2[1-(-1)") cos(nx)
e)
1-+
n=1
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