Question 2 (20 points) We consider the function f(m. y] = y3 + 3m2y. An- swer the following questions. 1. (3 points) Determine the degree of homogeneity of f. 2. (6 points) Find the slope of the tangent line to the level curve f (:13, y) : 13 at an arbitrary point on the curve, and nd in particular the equation of the tangent line at the point (2, 1). 3. (6 points] Examine Whether the level curve f (:13, y) : 13 is convex or concave around the point (2, 1). 4. (5 points) Show that no point on the level curve f(:r:a y) : 13 lies above the :caxis