Suppose F(x, y, z) = (–2y, 2x, 4³ and let H be the open hemispherex² + y² + z² = 1 for z ≥ 0 oriented in the direction of increasing p. VerifyStokes' Theorem by calculating both of the following directly:(a.) CalculateF.dr,(b.) Calculate H(V x F). ds.ан

Here given, F(x,y,z)=(−2y,2x,z3)and H be the open hemisphere x2+y2+z2=1 for oriented in the…

Answered: Suppose F(x, y, z) = (–2y, 2x, and let…

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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Suppose F(x, y, z) = (–2y, 2x, and let H be the open hemisphere x² + y² + z² = 1 for Z> 0 oriented in the direction of increasing p. Verify Stokes' Theorem by calculating both of the following directly: (a.) Calculate HF-dr, (b.) Calculate HV XF)-dS.