I need help setting the bounds of this equation
Find the volume of the solid bounded by the planes x=0 y=0 z=0 and x+y+z=6
thank you
Hello, koalamath!
Find the volume of the solid bounded by the planes: .
The solid is in the first octant, bounded by the plane
. . which has intercepts: (6,0,0), (0,6,0), (0,0,6).
We have: . . . . where is the region in the plane.
That region looks like this:Code:| 6 * |:* |:::* |:::::* |:::::::* |:::::::::* - + - - - - - * - - - | 6
We see that goes from to
And goes from to
Therefore: .