03. a. If F = (y² + z² − x²)i + (z² + x² − y²)j + (x² + y² − z²)k, then evaluate, SSV × F·n dA integrated over the portion of the surface x² + y² − 4x + 2z = 0 above the plane z = 0 and verify the Stroke's Theorem. n is the unit vector normal to the surface.

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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03.
a.
If F = (y² + z² − x²)i + (z² + x² − y²)j + (x² + y² − z²)k, then evaluate,
SS V × F · n dA integrated over the portion of the surface x² + y² − 4x + 2z =
0 above the plane z = 0 and verify the Stroke's Theorem.
n is the unit vector normal to the surface.
Transcribed Image Text:03. a. If F = (y² + z² − x²)i + (z² + x² − y²)j + (x² + y² − z²)k, then evaluate, SS V × F · n dA integrated over the portion of the surface x² + y² − 4x + 2z = 0 above the plane z = 0 and verify the Stroke's Theorem. n is the unit vector normal to the surface.
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