EDB — 1Q8

Exercises

1. [1Q8]Fix $a>0,b>0,c>0$. Determine a plane tangent to the ellipsoid

   $$x^2/a^2+y^2/b^2+z^2/c^2=1$$

   at a point with $x,y,z>0$, so that the tetrahedron bounded by this plane and the coordinated planes has minimum volume.

   Solution 1

   [1Q9]↺↻