5. Use Stokes' Theorem (and only Stokes' Theorem) to evaluate ffs curlF · dS forthe vector field F(x,y, 2) = (2², 2x, -y') and the surface S that is the upper half ofthe unit sphere x² + y² + z² = 1. (so just to be clear, if you want to evaluate thisand use Stokes' Theorem then you must calculateF · dr). You must show all yourwork.

Answered: Image /qna-images/answer/777e371b-0f1e-4d00-8e04-e836f25c3621.jpg

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.

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