7s2 + 72s + 180 Consider the function F(s) (s + 5)(s² + 12s + 40) Find the partial fraction decomposition of F(s). Enter all factors as first order terms in s, that is, all terms should be of the form , wherec is a constant and the s-p root p is a constant. Both c and p may be complex. 7s2 + 72s + 180 59/(s+5) + (-26-j31)/(s+6+j2) + (-26+j31)/(s+6-j2) s3 + 17s2 + 100s + 200 Find the inverse Laplace transform of F(s). (Remember to use u(t). f(t) = L-1 {F(s)} = | 59e^(-5t)-e^(-6t)"(52cos(2t)+62sin(2t)) help (formulas)