GATE EC 2022: Signals & Systems Quiz 6

If the Laplace transform of a signal y (t) is Y(s)=1/s(s-3), then the final value of the signal y(t) is

For the given Laplace function, X(s) = log , x (t) will be,

Find the inverse Laplace transform of the X(s) =  Re[s] > -1

Find the inverse Laplace transform of  If the ROC is -1< R(s)<1

If the laplace transform of a signal x(t) as shown in below figure is.

Then the value of k is_________