Use Stokes' Theorem to evaluate f. F . dř, where F (x,y,z) = -y²i+ xj + z²k and C is the curve of intersection of the plane y + z = 2 and the cylinder x² +y² = 1. (Orient C to be counterclockwise when viewed from above.) 23.

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 f. F . dř, where F (x,y,z) = -y²i+ xj + z²k and C
is the curve of intersection of the plane y + z = 2 and the cylinder x² +y² = 1. (Orient
C to be counterclockwise when viewed from above.)
23.
Transcribed Image Text:Use Stokes' Theorem to evaluate f. F . dř, where F (x,y,z) = -y²i+ xj + z²k and C is the curve of intersection of the plane y + z = 2 and the cylinder x² +y² = 1. (Orient C to be counterclockwise when viewed from above.) 23.
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