1. Find the local maxima of the function:
(1) f(x,y) = xy, subject to the constraint thatx+y-1=0. Result should be 1/4.
2. Find the local minima of the functions:
(1) f(x,y) = x^2+y^2, subject to the constraint thatxy-3=0. Result should be 6.
(2) f(x,y) = x^2+4xy+y^2, subject to the constraintthat x-y-6=0. Result should be -18.
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