Question

#6.) Given f(t)=-2:+8, Ost<4, f(t+4)= f(t). Find F(s)=L{f(t)} of the Periodic Function.

Answer 1

Please find attached solution..

Given that f(t)=-1++8, ostia and f(t+4)=f(t) :f(t) to a periodic function with the period T=4. We know that, = f(t) estat (5) -ST l- ㅏ .:lelis take I = I flt) estat 4 -st dz -t +8 2 ) Besty at 11 -test + 2 -1 té test dt to 2 test -sta4 -stif 2 ce 52 78 e s

Date T -45 & é डप + -88-1 52 52 T= 안 -45-4 २ -पड 4 e S + 1 1- 8 (1) 52 fromo) L { (j - T -45 -पड -45 -1 S + 4e -65 ] د کام 8 S का S -45 -45 २५ 5 (1-045 +8 २७ 0/0 - 8 - २52- SCe4s -1) FG) = 8 2 + २52 (e45-1)