Please, find the Laplace transform of the following timedomain function, and red

Question

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)

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