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Compute dS where F = (x, Y, z) and S is the surface of the cone z2 = x² + y² for 0 < z < 4 plus its top surface in the plane z = 4. Use outward direction as the positive orientation.

Compute dS where F = (x, Y, z) and S is the surface of the cone z2 = x² + y² for 0 < z < 4 plus its top surface in the plane z = 4. Use outward direction as the positive orientation.

Elementary Geometry For College Students, 7e
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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1. Compute F.i dS where F = (x, Y, z) and S is the surface of the cone z? = x² + y² for 0 < z < 4 plus its top surface in the plane z = 4. Use outward direction as the positive orientation.
Transcribed Image Text:1. Compute F.i dS where F = (x, Y, z) and S is the surface of the cone z? = x² + y² for 0 < z < 4 plus its top surface in the plane z = 4. Use outward direction as the positive orientation.
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