Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z = 25 - x² for 0≤ x ≤ 5 and -5≤ y ≤ 5, oriented upward. Sketch both S and its boundary C. Circulation = dr=

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.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 12E
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Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z = 25 - x² for 0 ≤ x ≤ 5 and -5≤ y ≤ 5,
oriented upward. Sketch both S and its boundary C.
Circulation =
L
dr =
Transcribed Image Text:Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z = 25 - x² for 0 ≤ x ≤ 5 and -5≤ y ≤ 5, oriented upward. Sketch both S and its boundary C. Circulation = L dr =
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