Find the maximum and minimum of the function f over the closed and bounded set S.f(x, y) = x2 + y2 + 2y - xy; S = {(x, y): x2 + y2 ? 4}

A. f(- , - ) = - ; maximum. ff(-1, -) = 4 - 3; minimum.
B. f(-1, ) = 4 + 3; maximum. f(- , - ) = - ; minimum.
C. f(-1, ) = 4 + 3; maximum. f(-1, -) = 4 - 3; minimum.
D. f(-1, -) = 4 - 3; maximum. f(- , - ) = - ; minimum.


Answer: B

Mathematics

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