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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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