Determine L^{-1}{F}. F(s) = frac{3s^2 + 116s + 476}{(s-6)(s^2 + 12s + 52)}
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Step 2: **Decompose the fraction using partial fractions** The denominator of \( F(s) \) is: \[ (s-6)(s^2 + 12s + 52) \] We assume the partial fraction decomposition: \[ \frac{3s^2 + 116s + 476}{(s-6)(s^2 + 12s + 52)} = \frac{A}{s-6} + \frac{Bs + C}{s^2 + 12s + Show more…
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