X, { 6-x, in a half-range (a) sine series; and (b) cosine series. Expand the function f(x): = if 0 < x < 3 if 3 ≤ x < 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Expand the function f(x) =
=
X,
if 0 < x < 3
6-x, if 3 < x < 6
in a half-range (a) sine series; and (b) cosine series.
In addition, plot what the two Fourier series converge to.
Transcribed Image Text:Expand the function f(x) = = X, if 0 < x < 3 6-x, if 3 < x < 6 in a half-range (a) sine series; and (b) cosine series. In addition, plot what the two Fourier series converge to.
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