Use cylindrical coordinates. Evaluate Vx2 + y2 dv, where E is the region that lies inside the cylinder x2 + y2 = 9 and between the planes z = -2 and z = -1.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Use cylindrical coordinates.
Evaluate
x2 + y2 dV, where E is the region that lies inside the cylinder x2 + y2 = 9 and between the planes z = -2 and z = -1.
JE
Transcribed Image Text:Use cylindrical coordinates. Evaluate x2 + y2 dV, where E is the region that lies inside the cylinder x2 + y2 = 9 and between the planes z = -2 and z = -1. JE
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