Recall that cos(bt) = (e* + e*) and sin(be) = (e* – e-). e-") and sin(bt) = Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real...

Extracted text: Recall that cos(bt) = (e* + e*) and sin(be) = (e* – e-). e-") and sin(bt) = Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real constants. Assume that the necessary elementary integration formulas extend to this case. f(t) = e*t sin(bt) NOTE: Your answer should be on expression in terms of a. b. and s. It must be fully simplified. It cannot contain i. L{f(t)} =|