1. All of the following regions are given in rectangular coordinates. Give a sketch of the...

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1. All of the following regions are given in rectangularcoordinates. Give a sketch of the region and convert to acoordinate system, which you believe would be the most convenientfor integrating over the given region, and a brief explanation asto why you chose that coordinate system.

d) E = {(x, y, z) | ? 2 ? x ? 2, ? ? 4 ? x^2 ? y ? ? 4 ? x^2 , 2? sqrt4 ? x^2 ? y^2 ? z ? 2 + sqrt4 ? x^2 ? y^2}

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