(812, #53) Show that the sum of the x- , y- , z-intercepts

(812, #53) Show that the sum of the x- , y- , z-intercepts of any tangent plane to the surface is a constant.
Solution:

Solve for the z intercept by setting x and y = 0, we get .
Take a similar approach when solving for the x and y intercepts. The three intercepts are:

Adding them we get
Thus the sum of the intercepts is a constant.
No Maple Code for this problem.

by: gm