5. Use Stokes' Theorem (and only Stokes' Theorem) to evaluate ffs curlF - dS for the vector field F(1, y, 2) = (2²,2x, –-y³) and the surface S that is the upper half of the unit sphere r² + y³ + z² = 1. (so just to be clear, if you want to evaluate this and use Stokes' Theorem then you must calculate F - dr). You must show all your work.
5. Use Stokes' Theorem (and only Stokes' Theorem) to evaluate ffs curlF - dS for the vector field F(1, y, 2) = (2²,2x, –-y³) and the surface S that is the upper half of the unit sphere r² + y³ + z² = 1. (so just to be clear, if you want to evaluate this and use Stokes' Theorem then you must calculate F - dr). You must show all your work.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![5. Use Stokes' Theorem (and only Stokes' Theorem) to evaluate ffs curlF · dS for
the vector field F(x,y, 2) = (2², 2x, -y') and the surface S that is the upper half of
the unit sphere x² + y² + z² = 1. (so just to be clear, if you want to evaluate this
and use Stokes' Theorem then you must calculate
F · dr). You must show all your
work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a5b03b5-1aab-46c9-9bd1-20c5e227f4d8%2F777e371b-0f1e-4d00-8e04-e836f25c3621%2Fsy5lqtl_processed.png&w=3840&q=75)
Transcribed Image Text:5. Use Stokes' Theorem (and only Stokes' Theorem) to evaluate ffs curlF · dS for
the vector field F(x,y, 2) = (2², 2x, -y') and the surface S that is the upper half of
the unit sphere x² + y² + z² = 1. (so just to be clear, if you want to evaluate this
and use Stokes' Theorem then you must calculate
F · dr). You must show all your
work.
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