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MMLU-Pro / 11718 / Evaluate the Laplace inverse of F(s) = [(5s 2 - 15s + 7) / (s + 1)(s - 2)^3]

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Evaluate the Laplace inverse of F(s) = [(5s 2 - 15s + 7) / {(s + 1)(s - 2)^3}]

category

engineering

options

  1. - e^-t - e^2t + 2te^2t - (t^2 / 2)e^2t
  2. e^-t - 2e^2t + 3te^2t - (t^3 / 6)e^2t
  3. -e^-t + 3e^2t - t^2e^2t
  4. -e^-t + 2e^2t - 2te^2t + (t^3 / 3)e^2t
  5. e^-t + e^2t - 2te^2t + (t^2 / 2)e^2t
  6. -2e^-t - e^2t + (t^2 / 2)e^2t - te^2t
  7. e^-t + e^2t - (t^2 / 2)e^2t - 3te^2t
  8. 2e^-t + 3e^2t - 4te^2t + (t^3 / 3)e^2t
  9. - e^-t + e^2t + 2te^2t - (t^2 / 2)e^2t
  10. - e^-t + e^2t - 2te^2t + (t^2 / 2)e^2t

src

stemez-ElectronicCommunications

Discussion

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Source and history

upstream_id / Original problem ID
11718
task_id
c7622906-4810-5988-88ed-ae91177fb6a1
task_key
default--test--11718
task_revision_id
1
config / split
default / test

Official source

initial import