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Although it is not defined on all of space R , the field associated with the line integral below is simply connected, and the component

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Although it is not defined on all of space R" , the field associated with the line integral below is simply connected, and the component test can be used to show it is conservative. Find a potential function for the field and evaluate the integral. (3,4,3) dy - dz (1,1,1) A general expression for the infinitely many potential functions is f(x,y,z) = 1 1 + h (z) N Evaluate the line integral. (3,4,3) 1 - dx+ 2- dy - - dz = (1, 1,1)

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