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(6) We wish to find an integral that calculates the volume of the tetrahedron bounded in the first octant by the plane containing the
(6) We wish to find an integral that calculates the volume of the tetrahedron bounded in the first octant by the plane containing the points A(1,0,0), B(0, 2,0), and C(0, 0, 3). 2 (a) Find a formula for the plane, written as z = f(x, y). (b) Sketch the base of the tetrahedron in the xy-plane. Identify the line corresponding with points A and B. f(x,y) =? C(0,0,3) A(1,0,0) B(0,2,0) Y I (c) Use Parts (a) and (b) to set up, but do NOT calculate, the (iterated) integral needed to compute the volume of the tetrahedron. Set up ONLY.
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