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MMLU-Pro / 9230 / The height of a hill in meters is given by z=2xy−3x²−4y²−18x+28y+12,…

Problem

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

question

The height of a hill in meters is given by z=2xy−3x2−4y2−18x+28y+12z=2 x y-3 x^2-4 y^2-18 x+28 y+12, where xx is the distance east and yy is the distance north of the origin. What is the xx distance of the top of the hill?
Plain-text mathematical notation (without MathML)
The height of a hill in meters is given by z=2xy−3x²−4y²−18x+28y+12, where x is the distance east and y is the distance north of the origin. What is the x distance of the top of the hill?
Original LaTeX notation
The height of a hill in meters is given by $z=2 x y-3 x^2-4 y^2-18 x+28 y+12$, where $x$ is the distance east and $y$ is the distance north of the origin. What is the $x$ distance of the top of the hill?

category

physics

options

  1. 3m
  2. -1m
  3. 4m
  4. 6m
  5. 2m
  6. -3m
  7. -2m
  8. 5m
  9. 0m
  10. 1m

src

scibench-class

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Source and history

upstream_id / Original problem ID
9230
task_id
55630df7-cf2a-5b59-b10e-9f8151e1e5fc
task_key
default--test--9230
task_revision_id
1
config / split
default / test

Official source

initial import