Question

A solid Tetrahedron has vertices (0, 0, 0), (2, 0, 0), (0, 4, 0), and (0,...

A solid Tetrahedron has vertices (0, 0, 0), (2, 0, 0), (0, 4, 0), and (0, 0, 6).

(a) i. Sketch the tetrahedron in the xyz-space.

ii. Sketch (and shade) the region of integration in the xy-plane.

(b) Setup one double integral that expresses the volume of the tetrahedron. Define the proper limits of integration and the order of integration. DO NOT EVALUATE.

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