7s? + 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 , where c is a constant and the s-p root p is a constant. Both c and p may be complex. 7s2 + 72s + 180 + + s3 + 17s2 + 100s + 200 Find the inverse Laplace transform of F(s). (Remember to use u(t). f(t) = L=1 {F(s)} = help (formulas)

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