Problem #78

This month we have four related problems:
- What are the semimajor and semiminor axes of the ellipse that 
contains two 
unit circles in its interior and has minimum area?
 -  Minimum arclength?
 - What are the semi-axes of the ellipsoid that 
contains two 
unit spheres in its interior and has minimum volume?
 -  Minimum surface area?