Question: (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

(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

(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))

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