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Suppose F = (6y, -3x, 6y) and S is a surface bounded by C, the circle x² + y² = 25, z = 2, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation F. dr. (Use symbolic notation and fractions where needed.) S curl(F). ds = F. dr = I

Suppose F = (6y, -3x, 6y) and S is a surface bounded by C, the circle x² + y² = 25, z = 2, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation F. dr. (Use symbolic notation and fractions where needed.) S curl(F). ds = F. dr = I

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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Suppose F = (6y, -3x, 6y) and S is a surface bounded by C, the circle x² + y² = 25, z = 2, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation F. dr. (Use symbolic notation and fractions where needed.) cu curl(F). ds = F. dr = I
Transcribed Image Text:Suppose F = (6y, -3x, 6y) and S is a surface bounded by C, the circle x² + y² = 25, z = 2, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation F. dr. (Use symbolic notation and fractions where needed.) cu curl(F). ds = F. dr = I
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