Question: 4. (Problem Set 34, #4) This problem is meant to refresh your memory on setting up triple integrals, since they're important in our last integral


4. (Problem Set 34, #4) This problem is meant to refresh your memory on setting up triple integrals, since they're important in our last integral theorem. Rewrite each triple integral as an iterated integral, using whatever coordinate system you like; you need not evaluate. As a reminder, whenever you set up a triple integral not in spherical coordinates, please sketch an appropriate projection (if writing the inner integral first) or slice (if writing the outer integral first), and label the axes and any important values on your sketch. x2 z dV, where U is the solid enclosed by z = x2 + y and z = 8 - (x2 + y?). (b) sin x dV, where W consists of all points in the first octant (that is, where . y, z are all 2 0) under the plane x + 2y + 3z = 6. ) lev av , where & is the solid enclosed by a" - 4y' + 2" = 1 and the planes y = - 1 and y = 1. "dV, where A consists of all points (x, y, z) with x2 + y + 2 x
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