Evaluate the triple integral $\iiint_E xy \, dV$ where $E$ is the solid tetrahedron with vertices $(0, 0, 0)$, $(8, 0, 0)$, $(0, 7, 0)$, $(0, 0, 8)$.
Added by Richard C.
Step 1
We can rewrite this as $z = 8(1 - \frac{x}{8} - \frac{y}{7}) = 8 - x - \frac{8}{7}y$. Show more…
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