Suppose F = (7y,-5z, 2x) and S is that portion of the plane x + 2y + 32 = 1 that is the first octant of space, oriented %3! counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation f. F. dr, where Cis the boundary of S. (Give an exact answer. Use symbolic notation and fractions where needed.) curl(F) · dS = F. dr = Lisher WH.Free
Suppose F = (7y,-5z, 2x) and S is that portion of the plane x + 2y + 32 = 1 that is the first octant of space, oriented %3! counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation f. F. dr, where Cis the boundary of S. (Give an exact answer. Use symbolic notation and fractions where needed.) curl(F) · dS = F. dr = Lisher WH.Free
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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![Suppose F = (7y, -5z, 2x) and S is that portion of the plane x + 2y + 3z = 1 that is the first octant of space, oriented
%3D
counterclockwise as viewed from above.
Find the flux of curl(F) across S and then evaluate the circulation f. F- dr, where Cis the boundary of S.
(Give an exact answer. Use symbolic notation and fractions where needed.)
curl(F) · dS =
.dr =
disher WH.Free](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12983a27-bcc6-4fb6-a128-549c048422a3%2Ffa95069a-a558-4f8c-91c5-df4a956af964%2Faq6iucb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose F = (7y, -5z, 2x) and S is that portion of the plane x + 2y + 3z = 1 that is the first octant of space, oriented
%3D
counterclockwise as viewed from above.
Find the flux of curl(F) across S and then evaluate the circulation f. F- dr, where Cis the boundary of S.
(Give an exact answer. Use symbolic notation and fractions where needed.)
curl(F) · dS =
.dr =
disher WH.Free
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