In each of the Exercises I through 3. use residues to tind

Chapter 0, Problem 7.53

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In each of the Exercises I through 3. use residues to tind the inverse Laplace transform fU) corresponding to the given function F(s ). Do this in a formal way. without full justification. F(s) = -.--.s' + 8S11gges1io11: After finding the three cube roots -2 and I ../3 i of -8. it is helpfulto notice that the property:.: + :' = 2 Re z. of complex numbers enables one to writeAns. ((I)= e-!l + e1 (JJsin ../31 - cos /3n.

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