So F(x, y, z) = xi+yj + 6(x² + y²)k and C is the boundary of the part of the paraboloid where z = 81 − x² - y² which lies above the xy-plane and C is oriented counterclockwise when viewed from above. Use Stokes' Theorem to evaluate F. dr where

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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Use Stokes' Theorem to evaluate
S
F(x, y, z) = = xi+yj + 6(x² + y²)k and C is the
boundary of the part of the paraboloid where
z = 81x² - y² which lies above the xy-plane and C
is oriented counterclockwise when viewed from above.
F. dr where
Transcribed Image Text:Use Stokes' Theorem to evaluate S F(x, y, z) = = xi+yj + 6(x² + y²)k and C is the boundary of the part of the paraboloid where z = 81x² - y² which lies above the xy-plane and C is oriented counterclockwise when viewed from above. F. dr where
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