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
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
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49444d66-96b7-45b8-992f-0f6c51b0e4d0%2F464e898a-3ba8-42bf-ba9a-02fde4a125ce%2Fdakudot_processed.jpeg&w=3840&q=75)
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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