How do you find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane #x + 6y + 10z = 60#?
1 Answer
Explanation:
This problem can be stated as a maximum one.
Find
The lagrangian is
The stationary points are the solutions of
or
with solutions
The solutions are in the restriction manifold so them will be qualified on
determining the eigenvalues of
The local maxima are the stationary points in which
with eigenvalues