Use Stoke's theorem to evaluate the integral curl F dS where S is the surface given by e1-a -y – 1, z > 0, oriented upwards z = and F (x, y, z) = yi + ze j

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 Stoke's theorem to evaluate the integral
curl F. dS
where S is the surface given by
z = e4-a²-y° – 1, z > 0, oriented upwards
and
F (x, y, z) = yi + ze j
Transcribed Image Text:Use Stoke's theorem to evaluate the integral curl F. dS where S is the surface given by z = e4-a²-y° – 1, z > 0, oriented upwards and F (x, y, z) = yi + ze j
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