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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