Given vector field F = (x + tan-¹(yz), 2y - 8e12xz, 4z3 - 10 ln(2x+y)). S is the surface defined as the part of the cone z = √√x² + y² that is under the plane z = 4. Use the divergence theorem to find the outward flux over S. [Extra going on here.]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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#4. Given vector field F = (x + tan-¹(yz), 2y - 8e¹2xz, 4z³ - 10 ln(2x + y)). S is the surface
defined as the part of the cone z = √√x² + y² that is under the plane z = 4. Use the divergence
theorem to find the outward flux over S. [Extra going on here.]
Transcribed Image Text:#4. Given vector field F = (x + tan-¹(yz), 2y - 8e¹2xz, 4z³ - 10 ln(2x + y)). S is the surface defined as the part of the cone z = √√x² + y² that is under the plane z = 4. Use the divergence theorem to find the outward flux over S. [Extra going on here.]
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