Laplace transformations 2 2e-3t = s+ 3 4e-2+ sin 8t = 4 8 * 3sin(4 t) = 3*. s+2 s+64 s + 16 12 = s + 16 2 1 2te-3t = * s+ 3 1. 2. 3. (a) Find the Laplace transform of the following functions: (a) 2e-3t -2t (b) 4e tsin8t (c) 3sin4t (d) 2te-3t Find the inverse Laplace transform of the following functions: (a) 8s-1 s+3s+2 (b) 4 s+2s+17 s+1 (c) s+2s+5 Compute the Laplace transforms for the following graphical input excitations: 1 6 (b) F 3 (d) 2 6 3.0 7.7 0 1.5 Z 3 -5----