Metadata
Mathematics Undergraduate Apply Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Apply

  • Difficulty estimate

    Medium

  • Tags

    lagrange multipliers, constrained optimization, gradients, multivariable calculus, critical points

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Assess students' ability to apply Lagrange multipliers to find and classify extrema of multivariable functions subject to one or more equality constraints; tasks should include forming the Lagrangian, solving the resulting system, handling multiple constraints or boundary considerations, and interpreting/justifying solutions (including second-derivative or definiteness checks where appropriate).
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.