Let S be the portion of the plane z = 7x contained in the half-cylinder of radius R = 6 depicted in the figure. y R S Use Stokes' Theorem to calculate the circulation of F = (z, 7x, y + 2z) around the boundary of S (a half-ellipse) in the counterclockwise direction when viewed from above. f.F. -R Hint: Show that curl(F) is orthogonal to the normal vector to the plane. (Use symbolic notation and fractions where needed.) F. dr =

Let S be the portion of the plane z = 7x contained in the half-cylinder of radius R = 6 depicted in the figure. y R S Use Stokes' Theorem to calculate the circulation of F = (z, 7x, y + 2z) around the boundary of S (a half-ellipse) in the counterclockwise direction when viewed from above. f.F. -R Hint: Show that curl(F) is orthogonal to the normal vector to the plane. (Use symbolic notation and fractions where needed.) F. dr =

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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