Let f(x) be a function of period 27 such that f(x) = over the interval 0 < a < 27. 2 %3D a) Sketch a graph of f(a) in the interval 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 27EQ
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Let f(x) be a function of period 27 such that
f(x) =
over the interval 0 < r < 27.
a) Sketch a graph of f(x) in the interval 0 < x < 47
b) Show that the Fourier series for f(x) in the interval 0 <x < 2n is
1
sin x +
1
sin 2x +
3
sin 3x +
-
2
c) By giving an appropriate value to r, show that
1
1
3
1
1
1
|
|
4
7
9.
Transcribed Image Text:Let f(x) be a function of period 27 such that f(x) = over the interval 0 < r < 27. a) Sketch a graph of f(x) in the interval 0 < x < 47 b) Show that the Fourier series for f(x) in the interval 0 <x < 2n is 1 sin x + 1 sin 2x + 3 sin 3x + - 2 c) By giving an appropriate value to r, show that 1 1 3 1 1 1 | | 4 7 9.
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