benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 11317 / Use partial fraction expansion to find the inverse z-transform of F (z) = [2z^2…

Problem

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

question

Use partial fraction expansion to find the inverse z-transform of F (z) = [{2z^2 - 2z} / {(z - 3) (z - 5)^2}].

category

engineering

options

  1. f [n] = 4nu[n] + [(5/6)n - 1] 6^n u[n]
  2. f [n] = 6nu[n] + [(2/3)n - 1] 3^n u[n]
  3. f [n] = 3^(n+1)u[n] - 5^n u[n]
  4. f [n] = 3nu[n] + [(4/5)n - 1] 5^n u[n]
  5. f [n] = [(2/3)n + 1] (3/2)^n u[n] - 2^(n-1) u[n]
  6. f [n] = 3nu[n] + [(5/4)n - 1] (4/5)^n u[n]
  7. f [n] = 4nu[n] + [(7/8)n - 2] 8^n u[n]
  8. f [n] = 2nu[n] + [(3/5)n - 1] 4^n u[n]
  9. f [n] = 5nu[n] + [(6/7)n - 1] 7^n u[n]
  10. f [n] = 2^n u[n] + [(3/4)n + 1] (4/3)^n u[n]

src

stemez-ElectricCircuits

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
11317
task_id
331af458-df35-543a-afb8-0f91178c093e
task_key
default--test--11317
task_revision_id
1
config / split
default / test

Official source

initial import