Į 2r, f(x) = 1, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let f(x) = {1
{ 2r,
0 <x <11
1<a < 2 }
3.
be a 4-periodic function.
(a)
graph periodically to the interval (–6,6).
Sketch the graph of the even extension feven to the full period (-2, 2). Extend the
(Ь)
format).
Write down the formula for the even extension feven On the interval (-2,2) (in the piecewise
(c) Find the number to which the Fourier Cosine series of the function converges at r = 166.
Transcribed Image Text:Let f(x) = {1 { 2r, 0 <x <11 1<a < 2 } 3. be a 4-periodic function. (a) graph periodically to the interval (–6,6). Sketch the graph of the even extension feven to the full period (-2, 2). Extend the (Ь) format). Write down the formula for the even extension feven On the interval (-2,2) (in the piecewise (c) Find the number to which the Fourier Cosine series of the function converges at r = 166.
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