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Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (x + z², xz + y², zx - y) through S, where S is a surface that bounds a solid region with the boundary given by the parabolic cylinder z = 1 - x² and the planes z = 0, y = 0, and z+y = 3. (Use symbolic notation and fractions where needed.) J.F S F. ds = 172 105

Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (x + z², xz + y², zx - y) through S, where S is a surface that bounds a solid region with the boundary given by the parabolic cylinder z = 1 - x² and the planes z = 0, y = 0, and z+y = 3. (Use symbolic notation and fractions where needed.) J.F S F. ds = 172 105

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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Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (x + z², xz + y², zx − y) through S, where S is a surface that bounds a solid region with the boundary given by the parabolic cylinder z = 1 − x² and the planes z = 0, y = 0, and z + y = 3. (Use symbolic notation and fractions where needed.) I.₁ Incorrect F. ds = 172 105
Transcribed Image Text:Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (x + z², xz + y², zx − y) through S, where S is a surface that bounds a solid region with the boundary given by the parabolic cylinder z = 1 − x² and the planes z = 0, y = 0, and z + y = 3. (Use symbolic notation and fractions where needed.) I.₁ Incorrect F. ds = 172 105
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