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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. W (Use decimal notation. Round your answer to three decimal places.)

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. W (Use decimal notation. Round your answer to three decimal places.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. W (Use decimal notation. Round your answer to three decimal places.)
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. W (Use decimal notation. Round your answer to three decimal places.)
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