Let the surface S₁ be the upper hemisphere x² + y² + z² = 1, with z ≥ 0Let the surface S₂ be the upper cylinder x² + y²2top closed off (so at zx² + y² ≤ 1), but the bottom of the surface is open.1, with 0≤ z ≤ 1, with the1, the top of the surface is a disk, thus atz 1 we have=Let F be the vector field (xy, yz, xz + xyz)Let be the normal oriented to point away from the origin.Compute16.10S₁[VxF].n S₁ 1- √ [V x F] . n d ₂2S₂

Let S be an open two sided surface with closed boundary curve C then ∬S[∇×F→]⋅n→dS=∮CF→⋅dr→The n→ is…

Let the surface S₁ be the upper hemisphere x² + y² + z² = 1, with z ≥ 0 = Let the surface S₂ be the upper cylinder x² + y² 1, with 0≤ z ≤ 1, with the top closed off (so at z = 1, the top of the surface is a disk, thus atz = 1 we have x² + y² ≤ 1), but the bottom of the surface is open. Let F be the vector field (xy, yz, xz + xyz) Let be the normal oriented to point away from the origin. Compute S [V x F].. .ndS₁ - [V x F] S₂ .nds 2

Let the surface S₁ be the upper hemisphere x² + y² + z² = 1, with z ≥ 0 = Let the surface S₂ be the upper cylinder x² + y² 1, with 0≤ z ≤ 1, with the top closed off (so at z = 1, the top of the surface is a disk, thus atz = 1 we have x² + y² ≤ 1), but the bottom of the surface is open. Let F be the vector field (xy, yz, xz + xyz) Let be the normal oriented to point away from the origin. Compute S [V x F].. .ndS₁ - [V x F] S₂ .nds 2

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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