Consider the following transfer function (Instructors are required to fill in the blanks such that the poles are real and distinct) num(s) ...S+... G(s)=- den(s) s(s+...) G(s)= (5s-8)/{(s^2)*(s+2)^3) 1. Find the poles and zeros of G(s). 2. Write G(s) in partial fractions 3. Find the residues of G(s) by hand calculations. 4. Check your finding by using the MATLAB residue command resi2 (See help resi2) to find the partial fraction expansion of G(s). 5. Using the results of part (3) above, find g(1)= [G(s)]. 6. Use the symbolic MATLAB command ilaplace (See help ilaplace), find -1 g(t)=[G(s)] and compare your finding with (5).