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In: Math

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

1. All of the following regions are given in rectangular coordinates. Give a sketch of the region and convert to a coordinate system, which you believe would be the most convenient for integrating over the given region, and a brief explanation as to 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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