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MMLU-Pro / 8428 / Find the volume of a solid bounded by the elliptical paraboloid …

Problem

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

question

Find the volume of a solid bounded by the elliptical paraboloid z=2x2+y2+1z=2x^2 + y^2 + 1, the plane x+y=1, and the coordinate planes.
Plain-text mathematical notation (without MathML)
Find the volume of a solid bounded by the elliptical paraboloid z=2x²+y²+1, the plane x+y=1, and the coordinate planes.
Original LaTeX notation
Find the volume of a solid bounded by the elliptical paraboloid $z=2x^2 + y^2 + 1$, the plane x+y=1, and the coordinate planes.

category

math

options

  1. 2.5
  2. 0.25
  3. 1.5
  4. 2.0
  5. 0.75
  6. 1.75
  7. 1.25
  8. 0.625
  9. 1.0
  10. 0.5

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8428
task_id
6bde258f-8697-57d9-ab2f-8eec7afdc161
task_key
default--test--8428
task_revision_id
1
config / split
default / test

Official source

initial import