Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (x + z², xz + y² , zx – y) through S, where S is a surface that bounds a solid region with the boundary given by the parabolic cylinder z = 1 – x² and the planes z = 0, y = 0, and z + y = 4.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 21E
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Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (x + z?, xz + y², zx – y) through S, where S is
a surface that bounds a solid region with the boundary given by the parabolic cylinder z = 1 – x² and the planes z = 0,
х —
y = 0, and z + y = 4.
(Use symbolic notation and fractions where needed.)
592
F. dS =
105
Incorrect
Transcribed Image Text:Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (x + z?, xz + y², zx – y) through S, where S is a surface that bounds a solid region with the boundary given by the parabolic cylinder z = 1 – x² and the planes z = 0, х — y = 0, and z + y = 4. (Use symbolic notation and fractions where needed.) 592 F. dS = 105 Incorrect
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,