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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