Question: Please help! Verify that the line integral and the surface integral of Stokes' Theorem are equal for the following vector field, surface S, and closed

Please help! Verify that the line integral and the surface integral

Please help!

of Stokes' Theorem are equal for the following vector field, surface S,

Verify that the line integral and the surface integral of Stokes' Theorem are equal for the following vector field, surface S, and closed curve C. Assume that C has counterclockwise orientation and S has a consistent orientation. F = (x, y.z) : S is the paraboloid z = 11 - x"- y", for 0 sz= 11 and C is the circle x +y = 11 in the xy-plane. Evaluate the line integral of Stokes' Theorem. (Type an exact answer, using x as needed.) Evaluate the surface integral of Stokes' Theorem. (Type an exact answer, using x as needed.)

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