How do you use a triple integral to find the volume of the given the tetrahedron enclosed by the coordinate planes 2x+y+z=3?
1 Answer
Jun 30, 2016
Explanation:
we can start by writing the plane as
so by setting z = 0, we know that the place cuts across the x-y plane on 2x + y = 3
by setting (x,y) = 0, we know that the plane hits the z axis at z = 3
so we can draw it all in the first octant
The triple Integral is