Find the Absolute Extrema of the Function $f ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } + 4 x + 10$

Short Answer

Find the absolute extrema of the function $f ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } + 4 x + 10$ on the region bounded by the disk defined by $\left\{ ( x , y ) \mid x ^ { 2 } + y ^ { 2 } \leq 9 \right\}$ .