Use cylindrical coordinates. Evaluate III Vx2 + v² dV, where E is the region that lies inside the cylinder x2 + y2 = 9 and between the planes z = 3 and z = 4.

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
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Use cylindrical coordinates.
Evaluate
x2 + v2 dV, where E is the region that lies inside the cylinder x + y = 9 and between the planes z = 3 and z = 4.
Transcribed Image Text:Use cylindrical coordinates. Evaluate x2 + v2 dV, where E is the region that lies inside the cylinder x + y = 9 and between the planes z = 3 and z = 4.
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