A2.3. Consider the periodic functions that are defined by 0st< 2n; f(t+27) for all t, and 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A2.3. Consider the periodic functions that are defined by
0st< 2n;
f(t + 27) for all t,
f(t
and
o(1) = {
0st< 2n;
9(t + 27) for all t,
9(t
(a) Calculate the Fourier series for f and g.
(b) Hence find the two polynomials that the two series
sin nt
COs nt
n2
respectively converge to on the interval (0, 27).
(c) Produce good quality graphs of the limit functions in (b), showing at least three
periods.
on the same graph
Transcribed Image Text:A2.3. Consider the periodic functions that are defined by 0st< 2n; f(t + 27) for all t, f(t and o(1) = { 0st< 2n; 9(t + 27) for all t, 9(t (a) Calculate the Fourier series for f and g. (b) Hence find the two polynomials that the two series sin nt COs nt n2 respectively converge to on the interval (0, 27). (c) Produce good quality graphs of the limit functions in (b), showing at least three periods. on the same graph
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