We have seen that the Fundamental Theorem of Calculusfor Line Integrals impliesC grad f
Chapter 20, Problem 28(choose chapter or problem)
We have seen that the Fundamental Theorem of Calculusfor Line Integrals impliesC grad f dr = 0 for anysmooth closed path C and any smooth function f.(a) Use the geometric definition of curl to deduce thatcurl grad f = 0 .(b) Show that curl grad f = 0 using the coordinatedefinition.
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