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) = 2x2+ 3y ; 4x +4y =240 . . . Find the Lagrange function F(x,y,2). F(X,y,N)=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) = 3x2+ 3y ; x+3y=60 . . . There is a maximum value of located at (x, y) = 7. (Simplify your answers.)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) = 4x2+ 3y2- 3xy; x+ y=40 . . . Find the Lagrange function F(x,y,2). F(x,y,2) =Of all points (x,y,z) that satisfy x + y + 4z = 12, find the one that minimizes (x - 1)2 + (y - 1)2 + (z -1)2. . . . The given function has a minimum at which satisfies x + y + 4z = 12. (Simplify your answer.)