Question: Problem 12. Let F : R3 - R be a Cl function. Let C be a simple closed curve enclosing an orientable surface S, i.c.

Problem 12. Let F : R3 - R be a Cl function. Let C be a simple closed curve enclosing an orientable surface S, i.c. 85 = C. Show that VF . ds = 0 by using the following two DIFFERENT methods: a. Follow the definition of a line integral, and apply fundamental theorem of calculus. b. Apply Stoke's theorem

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