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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

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