Maximize the following functions, subject to their respective restrictions, using the Lagrange multiplier method.

$z=4x^2-5xy+6y$ subject to the constraint $x+y=30$

$z=8x^2-70x-4xy-50y+5y^2$ subject to the constraint $x+y=35$

$z=-7x^2+6xy-9y^2$ subject to the constraint $2x+y=165$

$z=-3x^2+40x+8xy+288y-10y^2$ subject to the constraint $x+2y=58$Principal component analysis is an example of a and supervisor learning B none of these C supervisor learning be semi supervised lear