Find the maximum and minimum values of f(x, y) = x2 + 3y2 + 2y on the disk x2 + y2 1. Use Lagrange multipliers to handle the boundary analysis.
A) maximum 6, minimum -
B) maximum 5, minimum -
C) maximum 6, minimum 0
D) maximum 5, minimum
E) maximum 5, minimum
Correct Answer:
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