Let II be a plane in R3 with unit normal n and x0 II For each r 0, let Sr be the disk in II centered at x0 of radius r i e , Sr Br(x0) copy II Prove that if F B1(x0) R3 is C1 and Iuml Sr carries the orientation induced by n, then n lim t, (Sr) Jas, F Tds curl F (xo)

Question: Let II be a plane in R3 with unit normal n and x0 II. For each r > 0, let Sr be the disk in

Let II be a plane in R3 with unit normal n and x0 ˆˆ II. For each r > 0, let Sr be the disk in II centered at x0 of radius r [i.e., Sr = Br(x0) ˆ© II]. Prove that if F: B1(x0) R3 is C1 and Ï‘Sr carries the orientation induced by n, then

n= lim t, (Sr) Jas, F.Tds curl F (xo) .

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