Use Stokes' theorem to evaluate curl(F) · ds. F(x, y, z) = exYi + ej + xzk, Sis the half of the ellipsoid 8x2 + y2 + 8z2 = 8 that lies to the right of the xz-plane, oriented in the direction of the positive y-axis 82 + y? + 82? = 8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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How do I use stokes theorem to evaluate this in steps?

Use Stokes' theorem to evaluate
curl(F)· ds.
F(x, y, z) = e4xyi + ej + x?zk, S is the half of the ellipsoid 8x2 + y? + 822 = 8 that lies to the right of the xz-plane, oriented in the direction of the positive y-axis
* 8x2 + y2 + 82? = 8
Transcribed Image Text:Use Stokes' theorem to evaluate curl(F)· ds. F(x, y, z) = e4xyi + ej + x?zk, S is the half of the ellipsoid 8x2 + y? + 822 = 8 that lies to the right of the xz-plane, oriented in the direction of the positive y-axis * 8x2 + y2 + 82? = 8
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