1. Use Stokes' Theorem to find the portion of the sphere x² + y² +2²=5 inside the cylinder z² + y² = 1. Use the upward orientation. Your answer should include: a) Equation of Stoke's Theorem b) 3D sketch of the shaded surface with the appropriate orientation of the normal c) Orientation of the curve C, drawn in the 2D plane. curl F. d5, where F(x, y, z) = (az, -yz, ry) and the surface S is

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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H3.

pick the portion of the sphere inside the cylinder above the xy plane.

¹ ſf curl F. d.3, where F(x, y, z) = ( xz, —yz, zy) and the surface S is
1. Use Stokes' Theorem to find
the portion of the sphere x² + y² +2²=5 inside the cylinder z² + y² = 1.
Use the upward orientation.
Your answer should include:
a) Equation of Stoke's Theorem
b) 3D sketch of the shaded surface with the appropriate orientation of the normal
c) Orientation of the curve C, drawn in the 2D plane.
Transcribed Image Text:¹ ſf curl F. d.3, where F(x, y, z) = ( xz, —yz, zy) and the surface S is 1. Use Stokes' Theorem to find the portion of the sphere x² + y² +2²=5 inside the cylinder z² + y² = 1. Use the upward orientation. Your answer should include: a) Equation of Stoke's Theorem b) 3D sketch of the shaded surface with the appropriate orientation of the normal c) Orientation of the curve C, drawn in the 2D plane.
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