QUESTION 6 A function f(x) with period 4 is defined as follows: х 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![QUESTION 6
A function f(x) with period 4 is defined as follows:
0 <x< 2
4 -x
2<x< 4
a) Sketch the graph of the even extension of f(x)on the interval [-4,4]. Hence, find the
half range Fourier cosine series of f(x).
b) Sketch the graph of the odd extension of f(x)on the interval [-4,4]. Hence, set up the
integral for b, . (DO NOT SOLVE). Given that
4
(-1)"
NT
Write down the final answer for the half range Fourier sine series of f(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F308023e9-3498-4e34-a82e-e5af152239f2%2F7804bc4f-43b8-4e5f-a0e2-a7c900bb3224%2Fvmjh1p7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 6
A function f(x) with period 4 is defined as follows:
0 <x< 2
4 -x
2<x< 4
a) Sketch the graph of the even extension of f(x)on the interval [-4,4]. Hence, find the
half range Fourier cosine series of f(x).
b) Sketch the graph of the odd extension of f(x)on the interval [-4,4]. Hence, set up the
integral for b, . (DO NOT SOLVE). Given that
4
(-1)"
NT
Write down the final answer for the half range Fourier sine series of f(x).
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