Find Laplace transforms of the following: (i) f(t) = et (sin 3t+ (t + 2)): (3-1), 0, Find inverse Laplace transforms of the following: 1 s-78+12' (i) (iii) f(t) (ii) (ii) f(t) = t cos 3t; 0t3, t23. 8 s+28+5 (iii) In (5+1).