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Define fundamental theorem of calculus for line integrals

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Reference no: EM131615002

Question: We have seen that the Fundamental Theorem of Calculus for Line Integrals implies C grad f · dr→ = 0 for any smooth closed path C and any smooth function f.

(a) Use the geometric definition of curl to deduce that curl grad f = 0→.

(b) Show that curl grad f = 0→ using the coordinate definition.

Reference no: EM131615002

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