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(x,y)=x 2 ây 2 â2xyâ2x, on the triangular region whose vertices are (1,0),(0,1), and (â1,0). (b) g(x,y)=x+xyâ2y 2, on the domain yâ¥0,y⤠x, xâ¤1. (c) h(x,y)=e xy, on the disk (2x) 2+y 2â¤1 tâ  If you use your answers to part (a) and part (b) to justify why this is a maximum, you don't have to do the second rivative test. (d) f(x,y)=xy, on the part of the curve 2x 3+y 3=16 which is in the first quadrant (including endpoints). (e) g(x,y)=x 2+3y, on the line segment from (â2,2) to (2,â2). (f) h(x,y,z)=x+2y+3z, on the unit sphere.