8. [Global Optimization on Domains] [P] Find the absolute maximum and minimum values of the function on the described domain. When checking for extrema on any boundaries, you may choose whether you want to use a parametrization or Lagrange Multipliers; some problems might be easiest when using a combination. (a) f (2:, y) = $2 y2 21y 29:, on the triangular region whose vertices are (1, 0), (O, 1), and (1,0). (b) g(:1:,y)=I a: + my 21,12, on the domain y 2 0,3; 3 Jim g 1