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(Solved): Can you solve this please and show me how to do the convolution of the 2 functions. Solutions are in ...



Can you solve this please and show me how to do the convolution of the 2 functions. Solutions are in the 2nd picture
4. A causal sine can be considered as the product of a pure sine with a Heaviside function. The FTCs of these two were alread

\( u(t))=\frac{j \pi}{2}\left[\delta\left(\omega+\omega_{0}\right)-\delta\left(\omega-\omega_{0}\right)\right]-\frac{\omega_{
4. A causal sine can be considered as the product of a pure sine with a Heaviside function. The FTCs of these two were already calculated in previous exercises. Now use these results and the convolution theorem to obtain the FTC of a causal sine. Compare to what you get by replacing \( s \) with \( j \omega \) in the Laplace transform of a causal sine. \( u(t))=\frac{j \pi}{2}\left[\delta\left(\omega+\omega_{0}\right)-\delta\left(\omega-\omega_{0}\right)\right]-\frac{\omega_{0}}{\omega^{2}-\omega_{0}^{2}} \)


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ANSWER------- LET x(t)= sin??0t.u(t)..------------------(1) sin??0t??j{?(?+?0)??(???0)}___________(2) and u(t) =1?j+??(?)???????????(3) by multiplicat
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