Find Solution (1 point) From a table of integrals, we know that for a, b 0 eat c

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(1 point) From a table of integrals, we know that for a, b 0 eat cos(bt) dt = eat . a cos(H) + bsin(bt) cos(bt) + b,s e cos(bt) dt-eat . + C a. Use this antiderivative to compute the following improper integral e cos(3t) e-st dt iim or e5t cos(3t) e-st dt - lim if S5. help 0 (formulas) b. For which values of s do the limits above exist? In other words, what is the domain of the Laplace transform of est cos(3t)? help (inequalities) c. Evaluate the existing limit to compute the Laplace transform of e5t cos(3t) on the domain you determined in the previous part help (formulas)

Explanation / Answer

a.

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