Question = (1 point) Since –3t-emt – 612 cosh(at) = {2 (-3emt – 6 cosh(at)), to find the Laplace transform of – 3t- emt – 6t2 cosh(at) you take the second derivative of -3/(s-m)-s/(s^2+a^2) Therefore L{-3t2emt – 6t2 cosh(at)}(s) = -(3/((S-m)^2)+(a^2-s^2)/(s^2+a^2)^2

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Transcribed Image Text: = (1 point) Since –3t-emt – 612 cosh(at) = {2 (-3emt – 6 cosh(at)), to find the Laplace transform of – 3t- emt – 6t2 cosh(at) you take the second derivative of -3/(s-m)-s/(s^2+a^2) Therefore L{-3t2emt – 6t2 cosh(at)}(s) = -(3/((S-m)^2)+(a^2-s^2)/(s^2+a^2)^2
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Transcribed Image Text: = (1 point) Since –3t-emt – 612 cosh(at) = {2 (-3emt – 6 cosh(at)), to find the Laplace transform of – 3t- emt – 6t2 cosh(at) you take the second derivative of -3/(s-m)-s/(s^2+a^2) Therefore L{-3t2emt – 6t2 cosh(at)}(s) = -(3/((S-m)^2)+(a^2-s^2)/(s^2+a^2)^2