6.6 Finding Global Extreme Values on a Boundary/ Constraint [with the Lagrange Multiplier] 1 Find global max and min for f(x,y) = 23);2 with the constraint 2yx2=0 2 Find global max and min for f(x,y) HIM with the constraint x+y-2=0 3 Find the greatest and least distance between the point {2,1,-2) and the unit sphere x2+y2+zz=1 4 Find the dimensions of the rectangular box with maximum volume such that the total length of its 12 edges is 60cm 5 A company has the production function PIlOOLmKU\