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MMLU-Pro / 8577 / Statement 1 | f : X → Y is continuous and X is compact. f must be uniformly…

Problem

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

question

Statement 1 | f : X → Y is continuous and X is compact. f must be uniformly continuous. Statement 2 | If f(x), g(x) : R → R are everywhere differentiable f(g(x)) must be everywhere differentiable.

category

math

options

  1. Not applicable, Not applicable
  2. True, False
  3. Both statements are applicable, but cannot be definitively classified as true or false.
  4. False, Not applicable
  5. False, True
  6. True, Not applicable
  7. False, False
  8. Not applicable, True
  9. Not applicable, False
  10. True, True

src

ori_mmlu-college_mathematics

Discussion

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Source and history

upstream_id / Original problem ID
8577
task_id
8e1720e6-e8f6-59ed-bf43-e185e00eb97a
task_key
default--test--8577
task_revision_id
1
config / split
default / test

Official source

initial import