Compute the electric charge on the surface which is the portion of the cone z = √√3x² + 3y2 in the first octant that lies between the planes z = 4 and z = 7. The charge density on the surface is given by a(x, y, z) = xyz2 coulombs per square meter.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 23E
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Compute the electric charge on the surface which is the portion of the cone z = √√√3x² + 3y² in the first octant that lies between the planes z = 4 and z = 7. The charge density on the
surface is given by σ(x, y, z) = xyz² coulombs per square meter.
Transcribed Image Text:Compute the electric charge on the surface which is the portion of the cone z = √√√3x² + 3y² in the first octant that lies between the planes z = 4 and z = 7. The charge density on the surface is given by σ(x, y, z) = xyz² coulombs per square meter.
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