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2 PART II: LAPLACE TRANSFORMATIONS A. Below, determine whether or not the integrals are convergent: 1. ſºt?edt $ 2. e-cos td

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Answer #1

(1) Salin since the green Improper integral Spretat set at #2 1 Now, we can write, so en Set dt = Eg n2 12 n=1 4 Mn+112 so t2) Solin Set costat o - 2 lasta od Set costat e setat so sendt is cgs O then by comparisian tert, se costat is at t Hence se

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