The potential function for is a constant. Using this potential function, the line integral of along the curve
To determine if is conservative, we find a potential function denotes the gradient. In this case, Integrating each component with respect to where is a constant.
To compute , given by and then subtract the results. The curve c is parameterized byThe final expression is the result of plugging in the values from This confirms the conservative nature of F, as the line integral depends only on the endpoints, validating the existence of the potential function .
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