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13) Parametrize the boundary curve of the surface given by r(r, 0) = (r cos 0, r sin 0, (4- r2)) for 0 ≤r ≤2 and 0 ≤0 ≤ 2. Then find the flux curl F. ds where F = 3yi + 5zj - 2xk. S (You can freely take your own choice of orientation.)

13) Parametrize the boundary curve of the surface given by r(r, 0) = (r cos 0, r sin 0, (4- r2)) for 0 ≤r ≤2 and 0 ≤0 ≤ 2. Then find the flux curl F. ds where F = 3yi + 5zj - 2xk. S (You can freely take your own choice of orientation.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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13) Parametrize the boundary curve of the surface given by r(r, 0) = (r cos 0, r sin 0, (4- r2)) for 0 ≤r ≤2 and 0 ≤0 ≤ 2. Then find the flux curl F. ds where F = 3yi + 5zj - 2xk. S (You can freely take your own choice of orientation.)
Transcribed Image Text:13) Parametrize the boundary curve of the surface given by r(r, 0) = (r cos 0, r sin 0, (4- r2)) for 0 ≤r ≤2 and 0 ≤0 ≤ 2. Then find the flux curl F. ds where F = 3yi + 5zj - 2xk. S (You can freely take your own choice of orientation.)
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