Find the maximum and minimum of the function f over the closed and bounded set S.f(x, y) = (x + y)2; S = {(x, y):
+
? 1}
A. f(,
) = f(-
, -
) = 6; maximum. f(x, -x) = 0 for -
? x ? -
; minimum.
B. f(,
) = f(-
, -
) = 6; maximum. f(x, -x) = 0 for -
? x ?
; minimum.
C. f(,
) = 6; maximum. f(-
, -
) = 6; minimum.
D. f(,
) = 6; maximum. f(-
, -
) = -6; minimum.
Answer: B
Mathematics
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