Find the Laplace transform of x(t) = e-6{u(-t) +e3u(t) and state its ROC.

Consider the following function: f(t)=0.25u(t-2) +0.5u(t-4)+1u(t-6)+2u(t-8)+4u(t-10) The Laplace Transform of the above function F(S) is given by Select one: a. O b. 0.25- -2s S e²s 0.25- +0.5 S e-2s 8² 0.25- O d. 0.25 +0.5- + +0.5 048 - S + -4s e S -4s +1 2ی e6s S •+1 e -6s S + +1- +2- +4 0.5 1 2 s+2 s+4 s+6 s+8 -6s $² +2- 088 S +2 -8s + S e e-8s 8² 4 s + 10 +4 10 s S +4 -10s e S e -10s 5² 2

Thanks

Find Laplace transform. Note: Consider zero intial condition.