1 if |x|<1 lo if 1<|x|<< 2 7. f(x) = f(x + 4) = f(x)

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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ſ1 if |x|<1
0 if 1<|x|< 2
7. f(x) =
f(x + 4) = f(x)
Transcribed Image Text:ſ1 if |x|<1 0 if 1<|x|< 2 7. f(x) = f(x + 4) = f(x)
1-6 A function ƒ is given on the interval [-7, ] and f is
periodic with period 277.
(a) Find the Fourier coefficients of f.
(b) Find the Fourier series of f. For what values of x is f(x) equal
to its Fourier series?
(c) Graph f and the partial sums S2, S4, and Ss of the Fourier series.
Transcribed Image Text:1-6 A function ƒ is given on the interval [-7, ] and f is periodic with period 277. (a) Find the Fourier coefficients of f. (b) Find the Fourier series of f. For what values of x is f(x) equal to its Fourier series? (c) Graph f and the partial sums S2, S4, and Ss of the Fourier series.
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