(51.) Let F = (y, -2, 0). Let S be the hemisphere x² + y² + z² = 9, with z 20. Orient S with a normal vector pointing upwards. Let C = OS be the boundary of S, oriented counter clockwise when viewed from above. Use Stokes' Theorem to compute the flux of curl F, upwards through S. anal funct
(51.) Let F = (y, -2, 0). Let S be the hemisphere x² + y² + z² = 9, with z 20. Orient S with a normal vector pointing upwards. Let C = OS be the boundary of S, oriented counter clockwise when viewed from above. Use Stokes' Theorem to compute the flux of curl F, upwards through S. anal funct
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text:49.
(51.) Let F = (y, -2, 0). Let S be the hemisphere x² + y² + z² = 9, with z≥ 0. Orient S with a normal vector pointing
upwards. Let C = OS be the boundary of S, oriented counter clockwise when viewed from above. Use Stokes'
Theorem to compute the flux of curl F, upwards through S.
7) 2 37³ Tos(z) - 9uz² + 20
mal functions
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