Of all points (x,y,z) that satisfy x + 2y + z=6, find the one that minimizes (x - 1)2 + ( y - 1)2 + (2-1)2. The given function has a minimum at which satisfies x + 2y + z=6. (Simplify your answer.)Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y) = xy; 9x + y = 16 . . . Find the Lagrange function F(x,y,2). F(X,y,A) = Find the partial derivatives F, Fv, and Fx. F. X F, = There is a value of located at (x,y) = (Type an integer or a fraction. Type an ordered pair, using integers or fractions.)