Jl. 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) = xy i+ 16x² j + yz k S is the surface z = xey, 0 ≤ x ≤ 1,0 ≤ y ≤ 4, with upward orientation

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Evaluate the surface integral 

 
 
S
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(x, y, z) = xy i + 16x2 j + yz k

S is the surface 
z = xey, 0 ≤ x ≤ 1, 0 ≤ y ≤ 4,
 with upward orientation
J
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(x, y, z) = xy i+ 16x² j + yz k
S is the surface z =
Evaluate the surface integral
= xey, 0 ≤ x ≤ 1, 0 ≤ y ≤ 4, with upward orientation
Transcribed Image Text:J 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(x, y, z) = xy i+ 16x² j + yz k S is the surface z = Evaluate the surface integral = xey, 0 ≤ x ≤ 1, 0 ≤ y ≤ 4, with upward orientation
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