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Use Stokes' Theorem to evaluate fr F. dr. F(x, y, z) = xy i+ xºj + z² k where C' is the intersection of the paraboloid z = x² + y² and the plane z = y with a counterclockwise orientation looking down the positive z-axis. F. dr = i С

Use Stokes' Theorem to evaluate fr F. dr. F(x, y, z) = xy i+ xºj + z² k where C' is the intersection of the paraboloid z = x² + y² and the plane z = y with a counterclockwise orientation looking down the positive z-axis. F. dr = i С

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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Use Stokes' Theorem to evaluate fr F. dr. F(x, y, z) = xy i+ x6 j + z² k where C'is the intersection of the paraboloid z = x² + y² and the plane z = y with a counterclockwise orientation looking down the positive z-axis. fo F. dr = i
Transcribed Image Text:Use Stokes' Theorem to evaluate fr F. dr. F(x, y, z) = xy i+ x6 j + z² k where C'is the intersection of the paraboloid z = x² + y² and the plane z = y with a counterclockwise orientation looking down the positive z-axis. fo F. dr = i
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