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(EOTIO -4 Soalan 3 (a) State w utakon sonst cach of the following function is odd, even or neither o xcos(x) cos(2x (ii) (x+5)cos 2x (iv) esin(3) (v) sin(2x)sin(3x) (vi) re 6 Marks/ M A periodic function f(x) is defined as Swatw fungsi berkala R) ditakrifkan sebagai) (b) Find the Fourier series of f(x) if it is neither an even nor odd function. Carikan siri Fourier hagi x)jika ia bukan fungsi genap atau ganjil (19 Marks

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(a) Function fiseveninits domainif f(-x)=f(x) and fis oddinits domainif f(-x)=-f(x) (e) Given f (x)-xcos x (-r)--r cos (-r)--r cos x-f (x) ii) Givenf (x)-x3 cos (2x f(-x)-(-x cos(2(-x)- -(2x)-() (in) Given f (x)-(x+5)cos (2x) +5)cos(2(-x)co (2x) () is neither odd nor even (tv) Ghven f (x)-3) (-x)(x sin(3x))n(3)() (v) Given f(xsin (2x)sin (3x) s2(x))sin(3(sn(2x)(sin(3x)) sin (2x) sin (3x)-f(x) fis even vi) Given f (x)- xe* fisneither odd noreven

(b)If f is piecevise onl -L, L then Fourier series of fis ere a =- 2 2T 2 C0(s) [Γ.-rsin(m)dx +Γ.xsm(nx)d]

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