Find the Absolute Maxima and Minima of the Function on the Given

Multiple Choice

Find the absolute maxima and minima of the function on the given domain.
- $$f ( x , y ) = x ^ { 2 } + 12 x + y ^ { 2 } + 16 y + 10 \text { on the rectangular region } - 1 \leq x \leq 1 , - 2 \leq y \leq 2$$

A) Absolute maximum: 74 at (2, 2) ; absolute minimum: 10 at (0, 0)
B) Absolute maximum: 74 at (2, 2) ; absolute minimum: -29 at (-1, -2)
C) Absolute maximum: 59 at (1, 2) ; absolute minimum: -29 at (-1, -2)
D) Absolute maximum: 59 at (1, 2) ; absolute minimum: 10 at (0, 0)