NOTE THAT This is Digital Signal Processing class and we are

NOTE THAT: This is Digital Signal Processing class and we are using Matlab in that course. Also in question parts, hand written parts are the answer(which means when we write the code in matlab we will get hand written functions as an output) Question occurs five parts and I need exact working Matlab code of following functions. Hand written answers are not useful

Solution

syms t

laplace((cos(3*t)))

laplace(exp(-10*t))

laplace(exp(-10*t)*cos(3*t))

laplace(exp(-10*t)*cos(3*t-1))

laplace(2-2*exp(4*t))

laplace(t-1+exp(-10*t)*cos(4*t-pi/3))