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, multivariable calculus, gradients, 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 the method of Lagrange multipliers to find and classify extrema of multivariable functions under one or more equality constraints; tasks include constructing the Lagrangian, solving the resulting system, using bordered Hessian/second-derivative checks or comparing feasible boundary points when necessary, and interpreting Lagrange multipliers as sensitivity measures.
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Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.