Find the Laplace transform of the following functions (a) sin(5t) * e−2t (here star is convolution) 0 t< 4 (b) g(t) = 1 t 4. > 5 t<4 (c) g(t): = (d) g(t) = 0 t≥ 4. (5 t<4 -1 t> 4. [Hint: this is a linear combination of two step functions]

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Q: Find the inverse Laplace transform L{F(s)} of the given function. 8s2 – 24s + 72 F(s) = s(s² + 36)…

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