2. [10]For the function, f(x), given on the interval 0 <x<L (a)[4] Sketch the graphs of...

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Question

2. [10]For the function, f(x), given on the interval 0 <x<L (a)[4] Sketch the graphs of the even extension g(x) and odd exten

Answer 1

Answer #1

ANSWER:(a)

Even function Odd function

(b) Finding the coeficients of Fourier cosine series:

Finding the coefficient for Fourier sine series:

$bn 6 | (3 – 2) sin (ntas/3) dx 2 f(c) sin(72/L) dx L 2 bn 3 Then Fourier cosine series is : f(x) = on sin (nmx/3) where bn is$

Answer 2

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