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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

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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 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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