der the functions e-t, t> 0 g(t) = 0, f(t) cos(t); otherwise lace Transform of f and g separately, and use the Laplace Transf rem on L[f L[g] to show that tie Lapiacе raiisiorTI, по SIHOW CIle COIV au integral aS deined rC expression (10) results. 3.3. Now we switch to a Fourier Transform approach. Evaluate the Fourier Transforms of f and g separately, and use the Fourier Transform version of the convolution theorem on F(p) G(p) to show that (f*g)Fourier Sin(t) + cos(t) (11) 2 3.4. Evaluate directly the convolution integral as defined for the Fourier Transform. and show that

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