A function is homogeneous of degree n when (tx, ty) = t n (x, y). (a)

A function ƒ is homogeneous of degree n when ƒ(tx, ty) = tⁿƒ(x, y).

(a) Show that the function is homogeneous and determine n

(b) Show that xƒ_x(x, y) + yƒ_y(x, y) = nƒ(x, y).

ƒ(x, y) = x³ - 3ху² + y³