A plane with equation xa+yb+zc=1 (a,b,c>0)(adsbygoogle = window.adsbygoogle || []).push({});

together with the positive coordinate planes forms a tetrahedron of volume V=16abc.

Find the plane that minimizes V if the plane is constrained to pass through a point P=(9,6,3) .

HELP!! I have fount the partial derivatives for both of the given equations but I don't know where to go from there!

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Minimizing Volume with given equations and certain points.

Tags:

**Physics Forums - The Fusion of Science and Community**