Use cylindrical coordinates. Evaluate (x - y) dV, where E is the solid that lies between the cylinders x² + y? = 1 and x2 + y? = 25, above the xy-plane, and below the plane z = y + 5.

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
(x - y) dV, where E is the solid that lies between the cylinders x² + y? = 1 and x2 + y? = 25, above the xy-plane, and below the plane z = y + 5.
Transcribed Image Text:Use cylindrical coordinates. Evaluate (x - y) dV, where E is the solid that lies between the cylinders x² + y? = 1 and x2 + y? = 25, above the xy-plane, and below the plane z = y + 5.
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