1. (6 points) Compute the inverse Laplace transforms of the given func

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1. (6 points) Compute the inverse Laplace transforms of the given functions (using the table is recommended!). (a) F(s) = 6 (s−3)4 (b) F(s) = s+2 s2+4 (c) F(s) = 4 s3 − 5 s+3

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(6 points) Compute the inverse Laplace transforms of the given functions (using the table is recommended!). (a) $F (s) = \frac{6}{(s - 3)^{4}}$ (b) $F (s) = \frac{s + 2}{s^{2} + 4}$ (c) $F (s) = \frac{4}{s^{3}} - \frac{5}{s + 3}$