Let E be the solid tetrahedron bounded by x 0, y 0, z 0, and x y z 1, and suppose that its topological boundary, T Iuml E, is oriented with outward pointing normal Prove for all C1 functions P, Q, R E R that Pdy dz Q dz dx R dx dy JJaE

Question: Let E be the solid tetrahedron bounded by x = 0, y = 0, z = 0, and x + y + z = 1,

Let E be the solid tetrahedron bounded by x = 0, y = 0, z = 0, and x + y + z = 1, and suppose that its topological boundary, T = Ï‘E, is oriented with outward-pointing normal. Prove for all C1 functions P, Q, R: E †’ R that

Pdy dz + Q dz dx + R dx dy= JJaE

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