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Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. ' // F F(x, y, z) = -xi-yj+z³k, S is the part of the cone z = ✓✓ x² + y2 between the planes z = 1 and z = 4 with downward orientation z= √√√x² + y² Z=4

Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. ' // F F(x, y, z) = -xi-yj+z³k, S is the part of the cone z = ✓✓ x² + y2 between the planes z = 1 and z = 4 with downward orientation z= √√√x² + y² 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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'[/F F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. Evaluate the surface integral F(x, y, z) = -xi-yj+z³k, S is the part of the cone z = ✓✓ x² + y² between the planes z = 1 and z = 4 with downward orientation z= √√√x² + y² ) Z=4
Transcribed Image Text:'[/F F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. Evaluate the surface integral F(x, y, z) = -xi-yj+z³k, S is the part of the cone z = ✓✓ x² + y² between the planes z = 1 and z = 4 with downward orientation z= √√√x² + y² ) Z=4
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