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Section 1 Goals

  • Understand what it means geometrically and algebraically to restrict a function to a constraint.
  • Find the global minimum and maximum of a function subject to a constraint \(g(x,y)=c\) using the method of Lagrange Multipliers.
  • Find the global minimum and maximum of a function subject to a constraint \(g(x,y)\leq c\text{.}\)