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2) Given that the total flux across the surface, S of the tetrahedron bounded by the planes x = 0, y = 0, z = 0 and z=4-x-y as shown in Figure 2 with outward orientation is 32. Use Gauss's theorem to evaluate fF.ds for vector field F = į+2yj+zk . S z=4-x-y ∙y 4 Figure 2 4 X

2) Given that the total flux across the surface, S of the tetrahedron bounded by the planes x = 0, y = 0, z = 0 and z=4-x-y as shown in Figure 2 with outward orientation is 32. Use Gauss's theorem to evaluate fF.ds for vector field F = į+2yj+zk . S z=4-x-y ∙y 4 Figure 2 4 X

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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2) Given that the total flux across the surface, S of the tetrahedron bounded by the planes x = 0, y = 0, z = 0 and z=4-x-y as shown in Figure 2 with outward orientation is 32. Use Gauss's theorem to evaluate fF.ds for vector field F = į+2yj+zk . S z=4-x-y ∙y 4 Figure 2 4 X
Transcribed Image Text:2) Given that the total flux across the surface, S of the tetrahedron bounded by the planes x = 0, y = 0, z = 0 and z=4-x-y as shown in Figure 2 with outward orientation is 32. Use Gauss's theorem to evaluate fF.ds for vector field F = į+2yj+zk . S z=4-x-y ∙y 4 Figure 2 4 X
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