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Compute the Inverse Laplace Transform of F(s) = $e^{-2 t}\left[\cos (\sqrt{11} t)+\frac{4}{\sqrt{11}} \sin (\sqrt{11} t)\right]$

Question 21

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Compute the inverse Laplace transform of F(s) = $Compute the inverse Laplace transform of F(s) = . A) e^{-2 t}\left[\cos (\sqrt{11} t) +\frac{4}{\sqrt{11}} \sin (\sqrt{11} t) \right] B) e^{2 t}\left(\cos (\sqrt{11} t) +\frac{4}{\sqrt{11}} \sin (\sqrt{11} t) \right) C) e^{2 t}\left(\frac{4}{\sqrt{11}} \cos (\sqrt{11} t) +\sin (\sqrt{11} t) \right) D) e^{-2 t}\left(\frac{4}{\sqrt{11}} \cos (\sqrt{11} t) +\sin (\sqrt{11} t) \right)$ .

A) $e^{-2 t}\left[\cos (\sqrt{11} t) +\frac{4}{\sqrt{11}} \sin (\sqrt{11} t) \right]$
B) $e^{2 t}\left(\cos (\sqrt{11} t) +\frac{4}{\sqrt{11}} \sin (\sqrt{11} t) \right)$
C) $e^{2 t}\left(\frac{4}{\sqrt{11}} \cos (\sqrt{11} t) +\sin (\sqrt{11} t) \right)$
D) $e^{-2 t}\left(\frac{4}{\sqrt{11}} \cos (\sqrt{11} t) +\sin (\sqrt{11} t) \right)$

Compute the Inverse Laplace Transform of F(s) = e−2t[cos⁡(11t)+411sin⁡(11t)] e^{-2 t}\left[\cos (\sqrt{11} t)+\frac{4}{\sqrt{11}} \sin (\sqrt{11} t)\right] e−2t[cos(11​t)+11​4​sin(11​t)]

Multiple Choice

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Compute the Inverse Laplace Transform of F(s) = $e^{-2 t}\left[\cos (\sqrt{11} t)+\frac{4}{\sqrt{11}} \sin (\sqrt{11} t)\right]$

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