Question: Problem 6. Stokes and divergence theorems a) Let C be a closed curve with positive orientation, and assume f (m, y, z) is a smooth

Problem 6. Stokes and divergence theorems a) Let C be a

Problem 6. Stokes and divergence theorems a) Let C be a closed curve with positive orientation, and assume f (m, y, z) is a smooth scalar function. Show the following relation for any n 2 0: f(1+fn)Vf-dr=o. C' b) Assume that 81 and 82 are surfaces with the same boundary 0. Let F" be a smooth vector eld. Without using the Stokes theOrem show the following relation: f(V>

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