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8. Use the Divergence Theorem to find the outward flux of the vector field F(x, y, z) = x³ î+y³j+z³k. across the surface S of the region that enclosed by circular cylinder x² + y² = 9, and the planes z = 0, and z = 4.

8. Use the Divergence Theorem to find the outward flux of the vector field F(x, y, z) = x³ î+y³j+z³k. across the surface S of the region that enclosed by circular cylinder x² + y² = 9, and the planes z = 0, and z = 4.

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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8. Use the Divergence Theorem to find the outward flux of the vector field F(x, y, z) = x³ î+y³j+z³k, across the surface S of the region that enclosed by circular cylinder x² + y² = 9, and the planes z = 0, and z = 4.
Transcribed Image Text:8. Use the Divergence Theorem to find the outward flux of the vector field F(x, y, z) = x³ î+y³j+z³k, across the surface S of the region that enclosed by circular cylinder x² + y² = 9, and the planes z = 0, and z = 4.
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