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# Calculate the left and right hand side of Stokes Theorem for this problem. Explain why you…

Calculate the left and right hand side of Stokes Theorem for this problem. Explain why you obtained different values, and why it is not a contradiction

2. [5 Stokes’ Theorem: Let S be a piecewise smooth oriented surface having a piecewise smooth boundary curve C. Let F = Mi+Nj+Pk be a vector field whose components have continuous first partial derivatives on an open region containing S. The the circulation of F around C in the direction counterclockwise with respect to the surface’s unit normal vector n equals the integral of the curl vector field V x F over S: F dr = / /VxF n da counterclockwise Now consider the vector field F=- i + 2+y2 which is defined on the punctured disk D defined by those points in the ay-plane satisfying 0

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