Use the divergence theorem to of the vector field F = tan¯¹(3y + 8z)i + e=²+5 cos.xj + √√x² + y² + 2² k, where S is the surface of the region bounded by the graphs of z = √²+² and x² + y² + z² = 100. find the outward flux ƒ ƒ¸‚ F ·- F.ndS
Use the divergence theorem to of the vector field F = tan¯¹(3y + 8z)i + e=²+5 cos.xj + √√x² + y² + 2² k, where S is the surface of the region bounded by the graphs of z = √²+² and x² + y² + z² = 100. find the outward flux ƒ ƒ¸‚ F ·- F.ndS
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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![Problem #6:
Use the divergence theorem to find the outward flux SSF
F = tan¯¹(3y + 8z)i + e=² + 5 cos.xj +
graphs of z= √√x₂²² +₁
+1².
and x² + y² +2²2 = 100.
F.ndS
of the vector field
+ z² k, where S is the surface of the region bounded by the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe591e3e-c1e9-4180-ad99-642a1f427277%2F2d661f99-4a44-4507-bce0-b6a041cb6dad%2Fn7pnvj_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #6:
Use the divergence theorem to find the outward flux SSF
F = tan¯¹(3y + 8z)i + e=² + 5 cos.xj +
graphs of z= √√x₂²² +₁
+1².
and x² + y² +2²2 = 100.
F.ndS
of the vector field
+ z² k, where S is the surface of the region bounded by the
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