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MMLU / Let f(x, y) = x^3 + y^3 + 3xy for all real x and y. Then there exist distinct…

Problem

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

question

Let f(x, y) = x^3 + y^3 + 3xy for all real x and y. Then there exist distinct points P and Q such that f has a

choices

  1. local maximum at P and at Q
  2. saddle point at P and at Q
  3. local maximum at P and a saddle point at Q
  4. local minimum at P and a saddle point at Q

subject

college_mathematics

Discussion

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Source and history

task_id
2a2088f5-651e-5d98-a90a-14eac9aadfa3
task_key
all--test--2a2088f5-651e-5d98-a90a-14eac9aadfa3
task_revision_id
1
config / split
all / test

Official source

initial import