Use Stokes' Theorem to evaluate where x = F. dr where F(x, y, z) = xi + yj +2(x² + y²)k and C is the boundary of the part of the paraboloid 16 x2 y2 which lies above the xy-plane and C is oriented counterclockwise when viewed from above.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
Question
te √ F · dr where F(x, y, z) = xi + yj + 2(x² + y²)k and C is the boundary of the part of the paraboloid
Use Stokes' Theorem to evaluate
where z =
16 x2 y2 which lies above the xy-plane and C is oriented counterclockwise when viewed from above.
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Transcribed Image Text:te √ F · dr where F(x, y, z) = xi + yj + 2(x² + y²)k and C is the boundary of the part of the paraboloid Use Stokes' Theorem to evaluate where z = 16 x2 y2 which lies above the xy-plane and C is oriented counterclockwise when viewed from above. -
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