(a) Let F(s) be the Luplace transform of f(t). Find the Luplace Transform for [[f (u)+ 2sin(3u)]du. (b) Using Laplace Transform to solve the second order differential equation for x(t). d'x +9x = f(t), (t if 0st<1, R iflst, dr where f(t) =- dx x(0) = 0, (0) = 0, %3D dt

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