Use the Divergence Theorem to find the outward flux of F = 6y i + xy j-6z k across the boundary of the region D: the region inside the solid cylinder x² + y² ≤4 between the plane z = 0 and the paraboloid z = x² + y² The outward flux of F = 6y i+ xy j-6z k across the boundry of region D is (Type an exact answer, using as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Use the Divergence Theorem to find the outward flux of F = 6y i + xy j - 6z k across the boundary of the region D: the region inside the solid
cylinder x² + y² ≤4 between the plane z = 0 and the paraboloid z = x² + y²
The outward flux of F = 6y i+ xy j - 6z k across the boundry of region D is
(Type an exact answer, using as needed.)
Transcribed Image Text:K Use the Divergence Theorem to find the outward flux of F = 6y i + xy j - 6z k across the boundary of the region D: the region inside the solid cylinder x² + y² ≤4 between the plane z = 0 and the paraboloid z = x² + y² The outward flux of F = 6y i+ xy j - 6z k across the boundry of region D is (Type an exact answer, using as needed.)
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