Let a, b > 0. Verify Stokes' Theorem f F - dĩ = SS, curl(F) - ndS for 2xz the vector field F(x, Y, z) = i+ryj-k, a? where the surface ơ is the portion of the elliptical paraboloid given by z = 1- the boundary curve C is the corresponding counter-clockwise ellipse cut out by the ry-plane. z20 and a?

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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Hi there, I am stuck on Stokes Theorem Problem!

Let a, b > 0. Verify Stokes' Theorem f F-di = Sf, curl(F) -n dS for
2xz
the vector field F(x, y, 2)
Fi+ryj-k, where the surface o is the
a?
b2
portion of the elliptical paraboloid given by z = 1-
the boundary curve C is the corresponding counter-clockwise ellipse cut
out by the ry-plane.
:2 0 and
a2
62
Transcribed Image Text:Let a, b > 0. Verify Stokes' Theorem f F-di = Sf, curl(F) -n dS for 2xz the vector field F(x, y, 2) Fi+ryj-k, where the surface o is the a? b2 portion of the elliptical paraboloid given by z = 1- the boundary curve C is the corresponding counter-clockwise ellipse cut out by the ry-plane. :2 0 and a2 62
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