Question: Do question b (a) Show that for any function f on the domain [-T, T], (or any do- main symmetric about 0), even()f() s even,

Do question b Do question b (a) Show that for any function f on

(a) Show that for any function f on the domain [-T, T], (or any do- main symmetric about 0), even()f() s even, fodd(x) = f(x)-f(-x)) is odd, and f() eve(x)fodd(r) (b) Show the continuous Fourier transform of f is Jeven() cos kx dx - ifodd() sin ka daz ( | n feven(z) cos kx dx-i [ fold(r) sin kr dr)

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