9. (10 points). Find the Inverse Laplace Transform of the following: a. F(s) = (s+?)/(s^2+?^2) * e^-s b. F(s) = s/(s^2-10s+29) c. F(s) = (8k^3s)/(s^2+k^2)^3 d. F(s) = (6s+3)/(s^4+5s^2+4)
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\(F(s) = \frac{s+n}{(s^2 + 12)(s^2 + k^2)^3}\) b. \(F(s) = \frac{5s^2 - 10s + 29}{(s^2 + 6s + 5)(s^2 + 3)}\) c. \(F(s) = \frac{65}{s^2 + 3}\) d. \(F(s) = \frac{5s^4 + 5s^2 + 4}{s^4 + 5s^2 + 4}\) Now, let's find the inverse Laplace transforms for each Show more…
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