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a. Let S be the solid region first octant bounded by the coordinate planes and the...

a. Let S be the solid region first octant bounded by the coordinate planes and the planes x=3, y=3, and z=4 (including points on the surface of the region). Sketch, or describe the shape of the solid region E consisting of all points that are at most 1 unit of distance from some point in S. Also, find the volume of E.

b. Write an equation that describes the set of all points that are equidistant from the origin and the point (2,−1,−2). What does this set look like?

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