Question: a) Maximize and minimize the function (, ) = 4 2 over the circle 2 + 2 = 3, along with its interior. (Hint: Either

a) Maximize and minimize the function (, ) = 4 2 over the circle 2 + 2 = 3, along with its interior. (Hint: Either the methods of 14.7 or Lagrange Multipliers will work here).

b) What property does the function above have, and what properties does the region above have, that guarantee these maximum/minimum values will exist?

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