Please, find the Laplace transform of the following timedomain function, and reduce it into a single rational function ifpossible: f(t) = 2(t) + 2u(t) -500sin(30t)u(t)You don't have to show all yourwork. Show as much as you consider a fair answer for themaximum of 9 points. But please, include the finalanswer.THANK YOU!!! Please, find the Laplace transform of the following timedomain function, and reduce it into a single rational function ifpossible: f(t) = 2(t) + 2u(t) -500sin(30t)u(t)You don't have to show all yourwork. Show as much as you consider a fair answer for themaximum of 9 points. But please, include the finalanswer.THANK YOU!!!
Explanation / Answer
Consider the following Laplace transforms of some standardfunctioms (t) 1 u(t) 1/s sin(0t) u(t) 0/(s2+20) [ here0 = 30 ] Fourier transform of given function f(t) =2(t) + 2u(t) - 500sin(30t)u(t)is F(s) = 2+(2/s) -500*30/(s2+302) =2+ 2/s -1500/(s2+900) =(2s3+2s2+300s+1800)/s(s2+900)