1 Recall that cos(bt) = ÷(ebi + e-ibt) and sin(bt) 1 E(eibt – e-ibt). 2i 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) = eat sin(bt) NOTE: Your answer should be an expression in terms of a, b, and s. It must be fully simplified. It cannot contain i. L{f(t)}

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