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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
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. (4,4, 3) 1 1 ox + dy dz (2, 2,2) y A general expression for the infinitely many potential functions is f(x,y,z) = X yz Evaluate the line integral. (4,4,3) dz = 12 (2,2,2)
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