## Question

###### Consider the region E that is above the surface 2 = 0, inside the surface %2 + y2 = 4, and outside of the surface 2 = Vr2 +y .1. Write a a triple integral describing the volume of E using Cartesian coordinates (that is, â‚¬, Y, and 2)_ Draw picture to explain: 2_ Same question in cylindrical coordinates_3 Same question in spherical coordinates.Which coordinates would you use, and why? You do not need to compute the integral_

Consider the region E that is above the surface 2 = 0, inside the surface %2 + y2 = 4, and outside of the surface 2 = Vr2 +y . 1. Write a a triple integral describing the volume of E using Cartesian coordinates (that is, â‚¬, Y, and 2)_ Draw picture to explain: 2_ Same question in cylindrical coordinates_ 3 Same question in spherical coordinates. Which coordinates would you use, and why? You do not need to compute the integral_

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