Question

TUI JU US PUulel CUCIncieIS ale ul Pk k false: (a) The Fourier series for the function 2 f(x) is obtained by multiplying 3.2.5. True or each term in the Fourier series for f(x) by 2. (b) The Fourier series for the function f(2) is obtained by replacing of f(x)g(r) g(x). (d) The Fourier coefficients of f(a) g(x) ing Fourier coefficients of f(x) and g(r). t by 2 in the Fourier series for f(r). (c) The Fourier coefficients can be found by adding the corresponding Fourier coefficients of f() and can be found by multiplying the correspond-

Answer 1

ang Without Without loss of generality, let us assume f is el periodic - Fourier Series of a function f(x), Tour nod fem fac + 3 m, custom+ , cinema # fres die an= # 5" fin) cas (2x) an ban = 1 / 5 f(m) sinem) dan

@ fm) 2. from new coefficient of Jims or 2.fing ão - # S" 2. fem) dx = 24. sinularly an = 2an an = abn = 290 f) frany & # s fron) da ** ["from dating Srintilely an tu "from), cos(3.26)dow) 6) is not correct. re v is false]

(x ) = (*) + A (*) we can see (90 fitu+ges de fw) dx + 5 gadiem (40)4 + (adin of integratation Cash Camp + Bicang (be) n = (bulf + (bolg addifica linanty Similarly & UU coefficiements of fult yfost Fourier coefficients af finstglas can be found by adding conosponding coefficients of fear and gen)

W nowa fond gen) Bola seconda +{fm gems de la Stm dn). [ * | Bosch 1 cwn + CoolCeling similarly (an)n + (90) (only & (bo)n + (bo) f (bez general In (d) is not correct je dois false)