(3) Evaluate the flux integral where S is the surface given by 22 =r + y², 0< z< 4, oriented upwards and F (1, y, 2) = ri + yj + 3k (Hint: There are two ways to do this problem. You may compute the flux integral directly, or you may use the divergence theorem. If you do use the divergence theorem be careful, because S is not a closed surface, and you must take that into account.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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(3) Evaluate the flux integral
F-S
where S is the surface given by
22 = 2? + y, 0< z< 4, oriented upwards
and
F (r, y, 2) = ri + vj + 3k
(Hint: There are two ways to do this problem. You may compute the flux integral directly, or you
may use the divergence theorem. If you do use the divergence theorem be careful, because S is not
a closed surface, and you must take that into account.)
Transcribed Image Text:(3) Evaluate the flux integral F-S where S is the surface given by 22 = 2? + y, 0< z< 4, oriented upwards and F (r, y, 2) = ri + vj + 3k (Hint: There are two ways to do this problem. You may compute the flux integral directly, or you may use the divergence theorem. If you do use the divergence theorem be careful, because S is not a closed surface, and you must take that into account.)
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