Use Lagrange multipliers to find the dimensions of a rectangular box of maximum volume that can be inscribed (with edges parallel to the coordinate axes) in the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1.

The Dimension of the rectangular box of maximum volume  is

(x,y,z) =       .

Step-by-step explanation:

It is in the following attachment                          

answer: slight chance that it will happen

step-by-step explanation:

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.