Use the residue function in MATAB to find the partial fraction expansion of the following Laplace transforms Then write the partial fraction expansion down. Finally take the inverse of the Laplace Transforms using the ilaplace function in MATLAB (you can take the inverse of the original Laplace Transform before the partial fraction expansion, no need to do it term by term). For the residue function further help is available by typing help residue in MATLAB, search the MATLAB site, or Google it. Write the Laplace Inverse solution you find from MATLAB down for each problem

Y(s)= a) b) s2+5s+6 b)Y(s) c) Y(s)= d) Y(s)- Y(s)=s2+5s+6 2 (this partial fraction expansion will have complex numbers) (s2+4s+8) s2+2 10s2+32s+32