Question: (10 points) This problem is related to Problems 8.9-11in the text.Consider the function F(s)=-3s2+29s+86(s+1)(s2+9s+20).Find the partial fraction decomposition ofF(s). Enter all factors as first order

(10 points) This problem is related to Problems 8.9-11in the text.Consider the function F(s)=-3s2+29s+86(s+1)(s2+9s+20).Find the partial fraction decomposition ofF(s). Enter all factors as first order terms ins, that is, all terms should beof the form cs-p, where cis a constant and the root pis a constant. Both c and p may be complex.-3s2+29s+86(s+1)(s2+9s+20)=+Find the inverse Laplace transform ofF(s). Remember to use u(t).f(t)=-1{F(s)}=,elp(formulas)

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