(a) Compute V × F · dŜ where F(x, y, z) = (z − y, x, −x) and S is the hemisphere x² + y² + x² = 4, z ≥ 0, oriented inwards towards the center of the hemisphere.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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(a) Compute ff V × F · dŜ where F(x, y, z) = (z − y, x, —x) and S is the hemisphere
x² + y² + x² = 4, z ≥ 0, oriented inwards towards the center of the hemisphere.
Transcribed Image Text:(a) Compute ff V × F · dŜ where F(x, y, z) = (z − y, x, —x) and S is the hemisphere x² + y² + x² = 4, z ≥ 0, oriented inwards towards the center of the hemisphere.
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