Let S be the portion of the plane z = x contained in the halfcylinder of radius R
Chapter 17, Problem 16(choose chapter or problem)
Let S be the portion of the plane z = x contained in the halfcylinder of radius R depicted in Figure 17. Use Stokes Theorem to calculate the circulation of F = z,x,y + 2z around the boundary of S (a half-ellipse) in the counterclockwise direction when viewed from above. Hint: Show that curl(F) is orthogonal to the normal vector to the plane.
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