(1 point) Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane a: l 4y + 7z : 28. Largest volume is (1 point) Suppose f(;c, y) : .232 + y2 7 8:19 7 4y + 3 (A) How many critical points does f have in R2 ? (B) If there is a local minimum. what is the value of the discriminant D at that point? If there is none, type N. (C) If there is a local maximum. what is the value of the discriminant D at that point? If there is none, type N. (D) If there is a saddle point, what is the value of the discriminant D at that point? If there is none, type N. (E) What is the maximum value of f on R2 ? If there is none, type N. (F) What is the minimum value of f on R2? If there is none, type N. 2 (1 point) Find the point(s) on the surface 2 : my + 1 which are closest to the point (7, 11, 0). List points as a comma-separated list, (e.g., (1,1,-1), (2, 0, -1), (2,0, 3))