e Il Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = x²z² + y²z²j + xyzk, S is the part of the paraboloid z = x² + y2 that lies inside the cylinder x2 + y2 = 25, oriented upward.

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
curl F. ds.
F(x, y, z) = x²z² + y²z²j + xyzk,
S is the part of the paraboloid z = x² + y² that lies inside the cylinder x² + y2 = 25, oriented upward.
Transcribed Image Text:• Sc Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = x²z² + y²z²j + xyzk, S is the part of the paraboloid z = x² + y² that lies inside the cylinder x² + y2 = 25, oriented upward.
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