Evaluate the integral [[[var !!! y² dv where G is the solid in the first octant that lies below the plane z = 4, and between the cylinder x² + y² = 1 and x² + y² = 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
Section10.6: 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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Evaluate the integral
| [] v² av
!!!
where G is the solid in the first octant that lies below the plane z = 4,
and between the cylinder x² + y² = 1 and x² + y² = 4.
Transcribed Image Text:Evaluate the integral | [] v² av !!! where G is the solid in the first octant that lies below the plane z = 4, and between the cylinder x² + y² = 1 and x² + y² = 4.
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