Word Count : 276

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To determine the work done by the force \(\vec{F} = (x + 2y) \hat{i} + (x - y) \hat{j}\) along the given parametric curve, we use the line integral: \[ W = \int_C \vec{F} \cdot d\vec{r} \] ### Step 1: Parameterize the Curve The given parametric ______ _______ _________ ___ __________ _____ ______ ____.
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