Question: Evaluate the line integral C F dr by evaluating the surface integral in Stokes Theorem with an appropriate choice of S. Assume that

Evaluate the line integral ∮_C F • dr by evaluating the surface integral in Stokes’ Theorem with an appropriate choice of S. Assume that C has a counterclockwise orientation.

F = (2xy sin z, x sin z, x y cos z);

F = (2xy sin z, x sin z, x y cos z); C is the boundary of the plane z = 8 - 2x - 4y in the first octant.

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ANSWER To evaluate the line integral C F dr using Stokes Theorem we need to find an appropriate surface S whose boundary is C The given curve C is the boundary of the plane z 8 2x 4y in the first octa... View full answer

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