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In: Advanced Math

3. Consider the volume E as the solid tetrahedron with vertices (1, a, 0), (0, 0,...

3. Consider the volume E as the solid tetrahedron with vertices (1, a, 0), (0, 0, 0), (1, 0, 0), and (1, 0, 1) where a > 0. (a) Write down the region E as a type I solid. (b) Find a such that RRR E x^2 yz dV = 1.

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