22. Use the divergence theorem to set up only a triple iterated integral for the flux ff, F.ds, where F(x, y, z) = 2xy + 8xz] + 4yzk and S is the surface of the tetrahedron with vertices (0,0,0), (0, 0, 1), (1, 0, 1) and (0, 1, 1). x+y + 6y dz dy dx a) b) √ √x-1 √x+y( c) 1م x-1م 1م Jo c1c1-x 6y dz dy dx + 6y dz dy dx √x+y c1 - 6y dz dy dx d) So So e) None of the above
22. Use the divergence theorem to set up only a triple iterated integral for the flux ff, F.ds, where F(x, y, z) = 2xy + 8xz] + 4yzk and S is the surface of the tetrahedron with vertices (0,0,0), (0, 0, 1), (1, 0, 1) and (0, 1, 1). x+y + 6y dz dy dx a) b) √ √x-1 √x+y( c) 1م x-1م 1م Jo c1c1-x 6y dz dy dx + 6y dz dy dx √x+y c1 - 6y dz dy dx d) So So e) None of the above
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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![22. Use the divergence theorem to set up only a triple iterated integral for the flux , F.ds, where
F(x, y, z) = 2xy + 8xz] + 4yzk and S is the surface of the tetrahedron with vertices (0,0,0),
(0, 0, 1), (1, 0, 1) and (0, 1, 1).
a)
₁6y dz dy dx
cx-1 px+y
b) -1 + 6y dz dy dx
1-x 1
c) * 6y dz dy dx
d) ff6y dz dy dx
1-x
x+y
x-y
e) None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73f501d7-87bd-47c0-8a85-010e22bb107b%2F87e5af19-8a82-4e28-a925-682e439eb912%2Fuqmcb0v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:22. Use the divergence theorem to set up only a triple iterated integral for the flux , F.ds, where
F(x, y, z) = 2xy + 8xz] + 4yzk and S is the surface of the tetrahedron with vertices (0,0,0),
(0, 0, 1), (1, 0, 1) and (0, 1, 1).
a)
₁6y dz dy dx
cx-1 px+y
b) -1 + 6y dz dy dx
1-x 1
c) * 6y dz dy dx
d) ff6y dz dy dx
1-x
x+y
x-y
e) None of the above
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