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.
- $$f ( x , y ) = 4 x ^ { 2 } + 7 y ^ { 2 } \text { on the disk bounded by the circle } x ^ { 2 } + y ^ { 2 } = 9$$

A) Absolute maximum: 36 at (3, 0) and (-3, 0) ; absolute minimum: 0 at (0, 0)
B) Absolute maximum: 99 at (3, 3) ; absolute minimum: 0 at (0, 0)
C) Absolute maximum: 63 at (0, 3) and (0, -3) ; absolute minimum: 0 at (0, 0)
D) Absolute maximum: 63 at (0, 3) and (0, -3) ; absolute minimum: 36 at (3, 0) and (-3, 0)