Question

Which signal below correctly corresponds to its inverse Laplace transform? $$-\frac{3 s^{4}+32 s^{3}+197 s^{2}+484 s+252}{(s+2)^{3}\left(s^{2}+6 s+25\right)}$$ $$2 e^{-4 t} t^{2}-2 e^{-4 t}+4 e^{-2 t} \sin \left(3 t-\frac{\pi}{2}\right)$$ $$4 e^{-4 t} t^{2}-3 e^{-4 t}+2 e^{-2 t} \sin \left(5 t-\frac{\pi}{2}\right)$$ $$8 e^{-2 t} t^{2}-3 e^{-2 t}+3 e^{-2 t} \sin \left(3 t+\frac{\pi}{2}\right)$$ $$4 e^{-2 t} t^{2}-5 e^{-2 t}+2 e^{-3 t} \sin \left(4 t+\frac{\pi}{2}\right)$$ $$5 e^{-3 t} t-2 e^{-3 t}+4 e^{-2 t} \sin \left(2 t-\frac{\pi}{2}\right)$$ $$4 e^{-2 t} t-e^{-2 t}+2 e^{-3 t} \sin \left(3 t-\frac{\pi}{6}\right)$$ $$2 e^{-2 t} t-(3 e)^{-2 t}+5 e^{-3 t} \sin \left(4 t-\frac{\pi}{6}\right)$$ 2.7 ponies $$2 e^{-2 t} t^{2}-3 e^{-4 t}+5 e^{-2 t} \sin \left(4 t-\frac{\pi}{6}\right)$$

Name: which signal below correctly corresponds to its inverse laplace transform frac3 s432 s3197 s2484 s252s23lefts26 s25right 2 e 4 t t2 2 e 4 t4 e 2 t sin left3 t fracpi2right 4 e 4 t t2 3 e 4 t 67979
Uploaded: 2023-07-09T11:20:48-08:00
Duration: 1 min 37 s
Channel: Sri K
Description: which signal below correctly corresponds to its inverse laplace transform frac3 s432 s3197 s2484 s252s23lefts26 s25right 2 e 4 t t2 2 e 4 t4 e 2 t sin left3 t fracpi2right 4 e 4 t t2 3 e 4 t 67979

          Which signal below correctly corresponds to its inverse Laplace transform?
$$-\frac{3 s^{4}+32 s^{3}+197 s^{2}+484 s+252}{(s+2)^{3}\left(s^{2}+6 s+25\right)}$$
$$2 e^{-4 t} t^{2}-2 e^{-4 t}+4 e^{-2 t} \sin \left(3 t-\frac{\pi}{2}\right)$$
$$4 e^{-4 t} t^{2}-3 e^{-4 t}+2 e^{-2 t} \sin \left(5 t-\frac{\pi}{2}\right)$$
$$8 e^{-2 t} t^{2}-3 e^{-2 t}+3 e^{-2 t} \sin \left(3 t+\frac{\pi}{2}\right)$$
$$4 e^{-2 t} t^{2}-5 e^{-2 t}+2 e^{-3 t} \sin \left(4 t+\frac{\pi}{2}\right)$$
$$5 e^{-3 t} t-2 e^{-3 t}+4 e^{-2 t} \sin \left(2 t-\frac{\pi}{2}\right)$$
$$4 e^{-2 t} t-e^{-2 t}+2 e^{-3 t} \sin \left(3 t-\frac{\pi}{6}\right)$$
$$2 e^{-2 t} t-(3 e)^{-2 t}+5 e^{-3 t} \sin \left(4 t-\frac{\pi}{6}\right)$$
2.7 ponies
$$2 e^{-2 t} t^{2}-3 e^{-4 t}+5 e^{-2 t} \sin \left(4 t-\frac{\pi}{6}\right)$$

$which signal below correctly corresponds to its inverse laplace transform frac3 s432 s3197 s2484 s252s23lefts26 s25right 2 e 4 t t2 2 e 4 t4 e 2 t sin left3 t fracpi2right 4 e 4 t t2 3 e 4 t 67979$

Added by Brandon C.

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