See picture for f(x)  f(x) = 2L periodic extension to f for all other values of x show the following (picture with integration)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter9: Real Numbers And Right Triangles
Section9.5: The Distance And Midpoint Formulas
Problem 2C
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See picture for f(x) 

f(x) = 2L periodic extension to f for all other values of x

show the following (picture with integration)

nTx
f(x) sin()
2L
(1-cos(nn))
(пл)3
dx
%3D
Transcribed Image Text:nTx f(x) sin() 2L (1-cos(nn)) (пл)3 dx %3D
f6) = }(1-H).
х
f(x)
L
-L < x < L
Transcribed Image Text:f6) = }(1-H). х f(x) L -L < x < L
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Follow-up Question

Use the results to prove the fourier series f(x) (picture)

4
ппх
f(x) =
(пл)3
-(1 -сos(пп)) sin
L
n=1
8
Transcribed Image Text:4 ппх f(x) = (пл)3 -(1 -сos(пп)) sin L n=1 8
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