benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--8574▌ posts · files
MMLU-Pro / 8574 / Let f(x,y) = x^2 - 2xy + y^3 for all real x and y. Which of the following is…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Let f(x,y) = x^2 - 2xy + y^3 for all real x and y. Which of the following is true?
category
math
options
- f has all of its relative extrema on the line y = x^2.
- f has all of its relative extrema on the line x = y.
- f has all of its relative extrema on the line x = 2y.
- f has a relative maximum at (0, 0).
- f has an absolute maximum at (2/3, 2/3).
- f has an absolute minimum at (0, 0).
- f has an absolute minimum at (2/3, 2/3).
- f has a relative minimum at (0, 0).
- f has a relative minimum at (2/3, 2/3).
- f has all of its relative extrema on the parabola x = y^2.
src
ori_mmlu-college_mathematics
Discussion
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Source and history
- upstream_id / Original problem ID
- 8574
- task_id
efb64d25-4ba0-5335-bb8c-af07e593fa7d- task_key
default--test--8574- task_revision_id
- 1
- config / split
- default / test
initial import