1) Find the extrema subject to the stated constraints a] f(.7:,y) =xy subject to 32312 = 2 b)f(:c,y,z) =az+y+z subject to 392312: 1 and 233+z=1 2) Is...

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1) Find the extrema subject to the stated constraints a] f(.7:,y) =x—y subject to 32—312 = 2b)f(:c,y,z) =az+y+z subject to 392—312: 1 and 233+z=1 2) Is it possible to solve the system of equations my2 + mzu + yvz = 3uByz —|— 2m; — 131? = 2 for u(m,y,z),v(a:,y,z) near (3:,y,z) = (1,1,1), (um) = (1,1)? Compute 811/83; at(miyiz) : (151,1)?