Let R be a region in 3-space having volume 5, centroid at (x. y, 2) (-1,2, -3), and a piecewise smooth surface S. Find the flux of the vector field F= (5x + 7x - 5xy)i + (3y - 7yz + 4e*cos (z) » + (x2 + 5z + 7yz - 30 "Ycos (x) )k out of R through S. ... The flux of F out of R through S is

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Let R be a region in 3-space having volume 5, centroid at (x, y, z) = (- 1, 2, - 3), and a piecewise smooth surface S. Find the
flux of the vector field
F = (5x + 7x - 5xy)i + (3y - 7yz + 4e*cos (2))
+ (x2 + 5z + 7yz - 30 Ycos (x) )k
out of R through S.
......
The flux of F out of R through S is
Transcribed Image Text:Let R be a region in 3-space having volume 5, centroid at (x, y, z) = (- 1, 2, - 3), and a piecewise smooth surface S. Find the flux of the vector field F = (5x + 7x - 5xy)i + (3y - 7yz + 4e*cos (2)) + (x2 + 5z + 7yz - 30 Ycos (x) )k out of R through S. ...... The flux of F out of R through S is
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