Question 9 Give the inverse Laplace transform of F[s) =- 45-4e3 s (s+2) as a function of x. Note: The function u below is the unit step...

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Question 9Give the inverse Laplace transform ofF[s) =-45-4e"3s (s+2)as a function of x.Note: The function u below is the unit step function, which is also known as the Heaviside function.a) Of(x) =-3e-2*e-2x _ 57u(x-5) + 5u(x-5) e-28 + 10b) Of(x) =2e"*+u(x-5) -u(x-5) e-2:+10c) Of(x) -2e-28e-2x -u(x-5) +u(x-5) e-2x+10d) O fix) --4e-e-2x -1(x- 5) +u(x -5) e-2x + 10e) Of(x) -4ee-28 - 2u(x -5) +2u(x-5) e-28+ 101) O None of the above.R