QUESTION 2 A periodic function f(x) is defined by UTM & UTM and f(x) = f(x + 4). f(x) = x² + 3 for - 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QUESTION 2
A periodic function f(x) is defined by
UTM
& UTM
and f(x) = f(x + 4).
& UTM & UTM 6 UTM
i) Sketch the graph of the function for -6 < x < 6. Then, determine
f(x) = x² + 3 for - 2<x < 2
M8 UTM 5 UTM
whether f(x) is even, odd or neither.
5 UTM UT
ii) Hence, find its Fourier series.
M& UTM & UTM
UT
& UTM
UTM
& UTM & UTM 5 UT)
UTM
8 UTM UT
UTM
Transcribed Image Text:QUESTION 2 A periodic function f(x) is defined by UTM & UTM and f(x) = f(x + 4). & UTM & UTM 6 UTM i) Sketch the graph of the function for -6 < x < 6. Then, determine f(x) = x² + 3 for - 2<x < 2 M8 UTM 5 UTM whether f(x) is even, odd or neither. 5 UTM UT ii) Hence, find its Fourier series. M& UTM & UTM UT & UTM UTM & UTM & UTM 5 UT) UTM 8 UTM UT UTM
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