(Triple Integrals) Find the volume of the tetrahedron cut from the first octant by the plane 6x + 3y + 2z = 6 by using a triple integral.
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Setting y = z = 0, we find x = 1. Setting x = z = 0, we find y = 2. Setting x = y = 0, we find z = 3. So, the vertices of the tetrahedron are (1,0,0), (0,2,0), and (0,0,3). Show more…
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