F. ÂdS, Problem. 4: Let F(x, y, z) = xi+yj + z k and S : z = 16 – x² - y², z ≥ 0. Set up the flux of F through the surface S, S. ![E. S where n is the upward unit normal vector to S. [[P. S F.ndS= D 2pi 0 x^2+y^2+16 4 0 dx dy 16+r^2 xdr de

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Subject  :- Advance Mathematic 

F. ÂdS,
Problem. 4: Let F(x, y, z) = xi+yj + z k and S : z = 16 – x² - y², z ≥ 0. Set up the flux of F through the surface S,
S. ![E.
S
where n is the upward unit normal vector to S.
[[P.
S
F. ÂdS=
D
2pi
0
x^2+y^2+16
4
0
dx dy
16+r^2
xdr de
Transcribed Image Text:F. ÂdS, Problem. 4: Let F(x, y, z) = xi+yj + z k and S : z = 16 – x² - y², z ≥ 0. Set up the flux of F through the surface S, S. ![E. S where n is the upward unit normal vector to S. [[P. S F. ÂdS= D 2pi 0 x^2+y^2+16 4 0 dx dy 16+r^2 xdr de
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