#6. Use Stokes's Theorem to evaluate , curl F n dS where S is the surface z = 4 - x² - y², z≥ 0 and C is the boundary curve x² + y² = 4,z = 0. Here, F = (x,y²,4z).

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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#6. Use Stokes's Theorem to evaluate , curl F. nds where S is the surface z = 4 - x² - y²,
z ≥ 0 and C is the boundary curve x² + y² = 4, z = 0. Here, F = (x, y²,4z).
Transcribed Image Text:#6. Use Stokes's Theorem to evaluate , curl F. nds where S is the surface z = 4 - x² - y², z ≥ 0 and C is the boundary curve x² + y² = 4, z = 0. Here, F = (x, y²,4z).
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