510. Verifying Stokes Theorem Verify that the line integral and the surface integral of

Chapter 14, Problem 6

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510. Verifying Stokes Theorem Verify that the line integral and the surface integral of Stokes Theorem are equal for the following vector fields, surfaces S, and closed curves C. Assume that C has counterclockwise orientation and S has a consistent orientation. F = 80, -x, y9; S is the upper half of the sphere x2 + y2 + z2 = 4 and C is the circle x2 + y2 = 4 in the xy-plane.

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