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- Determine L^-1 {F}. F(s) = 8s³ - 8s² - 3s +6 / s^3 (S-2) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. £¯¹ {F} =Determine the Laplace transform of a.) 2cos^2 t and b.) 3sin^2 2x. Write the complete solution thank you.Use appropriate algebra and the table of the Laplace transforms to find L-1{s/(s+2)*(s2+4)} thanks!