Q6 A periodic function f (x) is defined as the following function: -n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 30E
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Q6 A periodic function f (x) is defined as the following function:
- T<x<-
2
f(x)={1
<x<
2
2
<x<T
and
f(x)= f(x+2x)
(a)
Sketch a graph of this function over the interval -37 <x<37.
(b) Solve the given the function and show that its Fourier series is given by,
S(x) =+2-1)**cos(2n–1)x
2n –1
n=1
Transcribed Image Text:Q6 A periodic function f (x) is defined as the following function: - T<x<- 2 f(x)={1 <x< 2 2 <x<T and f(x)= f(x+2x) (a) Sketch a graph of this function over the interval -37 <x<37. (b) Solve the given the function and show that its Fourier series is given by, S(x) =+2-1)**cos(2n–1)x 2n –1 n=1
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