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
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Chapter3: Functions And Graphs
Section3.3: Lines
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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=
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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