Let F = < – yz, xz, xy >. Use Stokes' Theorem to evaluate curlF · dS , where S S is the part of the paraboloid z = 9 – x² – y? that lies above the plane z = 5, oriented upwards -

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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Let F = < - yz, xz, xy > .
|
Use Stokes' Theorem to evaluate
curlF · d5 , where
S is the part of the paraboloid z = 9 – x² – y? that lies above the plane z = 5,
oriented upwards
Transcribed Image Text:Let F = < - yz, xz, xy > . | Use Stokes' Theorem to evaluate curlF · d5 , where S is the part of the paraboloid z = 9 – x² – y? that lies above the plane z = 5, oriented upwards
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