A function f(x) is given on the Interval]-n, 1] for: 27 27 f(x) ={ , otherwise a) Drawing the graph f(x) on the Interval ]-T, 1] and show that the function has a development in the Fourier series defined as: 2л f(x) 9. (2nk cos(kx) 3 1- cos k=1 16 b) Given that f*(x)dx= 81 find the sum 1 1 + 1 1 10 11 ...
A function f(x) is given on the Interval]-n, 1] for: 27 27 f(x) ={ , otherwise a) Drawing the graph f(x) on the Interval ]-T, 1] and show that the function has a development in the Fourier series defined as: 2л f(x) 9. (2nk cos(kx) 3 1- cos k=1 16 b) Given that f*(x)dx= 81 find the sum 1 1 + 1 1 10 11 ...
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Calculus: Fourier series
![A function f (x) is given on the Interval ]-T, 7] for:
f(x) ={
3
, otherwise
a) Drawing the graph f(x) on the Interval ]-7, 1] and show that the function has a development
in the Fourier series defined as:
´2nk`
1-cos
3
2
f(x) =
9
cos(kx)
16
b) Given that f*(x)dx:
81
find the sum
1
2ª 4 5 7 g°' 10 ' 11*
1
1
1
+
1
1
1
1
+...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1584066c-a175-4ec3-8893-4ee013171d53%2Fa0588585-e032-47e9-b9c0-890a95a347d0%2Ffqv8599_processed.png&w=3840&q=75)
Transcribed Image Text:A function f (x) is given on the Interval ]-T, 7] for:
f(x) ={
3
, otherwise
a) Drawing the graph f(x) on the Interval ]-7, 1] and show that the function has a development
in the Fourier series defined as:
´2nk`
1-cos
3
2
f(x) =
9
cos(kx)
16
b) Given that f*(x)dx:
81
find the sum
1
2ª 4 5 7 g°' 10 ' 11*
1
1
1
+
1
1
1
1
+...
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