Consider the function f(r) = r+1. (a) Express f(x) as a Fourier-cosine series, on the interval (0,5). (b) Draw the periodic extension of f(r) as a Fourier-cosine series on the interval (-5, 15). (c) Draw the periodic extension of f(r) as a Fourier-sine series on the interval (-5, 15).

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Chapter2: Second-order Linear Odes
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Plz answer all three subparts a,b ,c ASAP ..thanks

Consider the function f(x) = x+ 1.
(a) Express f(x) as a Fourier-cosine series, on the interval (0, 5).
(b) Draw the periodic extension of f(x) as a Fourier-cosine series on the interval (-5, 15).
(c) Draw the periodic extension of f(x) as a Fourier-sine series on the interval (-5, 15).
Transcribed Image Text:Consider the function f(x) = x+ 1. (a) Express f(x) as a Fourier-cosine series, on the interval (0, 5). (b) Draw the periodic extension of f(x) as a Fourier-cosine series on the interval (-5, 15). (c) Draw the periodic extension of f(x) as a Fourier-sine series on the interval (-5, 15).
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