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    application of Stokes Theorem

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    Stokes Theorem. See attached file for full problem description.

    1. compute the line integral where F = (yz^2 - y)i + (xz^2 + x)j + 2xyzk where C is the circle of radius 3 in the xy-plane, centered at the origin, oriented counterclockwise as viewed from the positive z -axis.

    2. Given F =yi - xj + yzk and the region S determined by z = x2+ y^2 and z = 1. Find

    3. Use the same function as in problem 3 and let S be the part of the spherical surface x^2 + y^2 + (z - 4)^2 = 10 below the plane z = 1.

    4. Uses Stokes' Theroem to evaluate the line integral

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    Solution Summary

    It provides several examples of applications of the Stokes Theorem. The solution is detailed and well organized.