In: Math
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}