6. Let R be the tetrahedron in the first octant bounded by the
coordinate planes and...
6. Let R be the tetrahedron in the first octant bounded by the
coordinate planes and the plane passing through (1, 0, 0), (0, 1,
0), and (0, 0, 2) with equation 2x + 2y + z = 2, as shown below.
Using rectangular coordinates, set up the triple integral to find
the volume of R in each of the two following variable orders, but
DO NOT EVALUATE.
(a) triple integral 1 dxdydz
(b) triple integral of 1 dzdydx
Consider the plane with general equation x - 2y - 3z = 6. Which
one of...
Consider the plane with general equation x - 2y - 3z = 6. Which
one of the following equation for a line that does not intersect
this plane?
a. (x, y, z) = (1, -2, -3) + t(1, -1, 1), t ∈ R
b. (x, y, z) = (1, -2, -3) + t(1, -2, -3), t ∈ R
c. (x ,y, z) = (1, 2, -3) + t(1, -1, 1), t ∈ R
d. (x, y, z) = (1, 2,...