EDB — 1Q8

Exercises

1. [1Q8]Fix \(a{\gt}0,b{\gt}0,c{\gt}0\). Determine a plane tangent to the ellipsoid

   \[ x^ 2/a^ 2 + y^ 2/b^ 2 + z^ 2 / c^ 2 = 1 \]

   at a point with \(x,y,z{\gt}0\), so that the tetrahedron bounded by this plane and the coordinated planes has minimum volume.

   Solution 1

   [1Q9]↺↻