# 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.

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