Let W be the region in the figure bounded by the cylinder x² + y² = 8, the plane z = x + 2, and the xy-plane. Use the Divergence Theorem to compute the flux of F(x, y, z) = (z, x, y + z²) through the boundary of W. (Use decimal notation. Round your answer to three decimal places.) 1.² W F.dS=
Let W be the region in the figure bounded by the cylinder x² + y² = 8, the plane z = x + 2, and the xy-plane. Use the Divergence Theorem to compute the flux of F(x, y, z) = (z, x, y + z²) through the boundary of W. (Use decimal notation. Round your answer to three decimal places.) 1.² W F.dS=
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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![Let W be the region in the figure bounded by the cylinder x² + y² = 8, the plane z = x + 2, and the xy-plane. Use the
Divergence Theorem to compute the flux of F(x, y, z) = (z, x, y + z²) through the boundary of W.
(Use decimal notation. Round your answer to three decimal places.)
1.²
W
F.dS=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a91de34-97d8-4f4c-92f6-a67ecde8304b%2Ff69a1b8f-6a08-47ca-bc30-bb27bacea201%2Fyvgyvi_processed.png&w=3840&q=75)
Transcribed Image Text:Let W be the region in the figure bounded by the cylinder x² + y² = 8, the plane z = x + 2, and the xy-plane. Use the
Divergence Theorem to compute the flux of F(x, y, z) = (z, x, y + z²) through the boundary of W.
(Use decimal notation. Round your answer to three decimal places.)
1.²
W
F.dS=
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