Engineering Board Exam Reviewer · Laplace Transforms · medium

Find the Laplace transform of f(t)=3t2-4 2t+5.

1. - 4 ss2 + 4 + 5/s + 6s3
2. - 8s2 + 4 + 5/s + 6s3
3. 5 - 8s2 + 4 + 6s3
4. - 8s2 + 4 + 5/s + 3s3

Answer

B. - 8s2 + 4 + 5/s + 6s3

Solution

Use linearity: 3·2!/s3-4·2/s2+4+ 5s=6/s3-8/s2+4+ 5s.

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