(Section 17.6, 17.8) Consider F = xî – 2yĵ + ½ 2²k. Let S be the surface of the solid bounded by S₁: x² + y² = 4, S₂: z=0, S3 : 2 = 1.
(Section 17.6, 17.8) Consider F = xî – 2yĵ + ½ 2²k. Let S be the surface of the solid bounded by S₁: x² + y² = 4, S₂: z=0, S3 : 2 = 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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Question
a) Use the diveragence theorem to calculate the outward flux through the closed surface.
![3. (Section 17.6, 17.8) Consider ₹ = rî – 2yĵ + ½z²k. Let S be the surface of the solid bounded by
S₁ : x² + y² = 4, S₂: z = 0, S3 : 2 = 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff237bbf8-6485-48b1-b1a9-4cbf0285c93d%2F88bbf64a-eb15-4d93-bb30-b3f2b9072c9b%2Fpdzeqf_processed.png&w=3840&q=75)
Transcribed Image Text:3. (Section 17.6, 17.8) Consider ₹ = rî – 2yĵ + ½z²k. Let S be the surface of the solid bounded by
S₁ : x² + y² = 4, S₂: z = 0, S3 : 2 = 1.
![(e) Use div F dv = [] F.d3 + [fF.d3 + [f F·ds to determine the flux through S₁ away from the z-axis.
S₁
Sa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff237bbf8-6485-48b1-b1a9-4cbf0285c93d%2F88bbf64a-eb15-4d93-bb30-b3f2b9072c9b%2Fdkt3q9_processed.png&w=3840&q=75)
Transcribed Image Text:(e) Use div F dv = [] F.d3 + [fF.d3 + [f F·ds to determine the flux through S₁ away from the z-axis.
S₁
Sa
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