Let (mathbf{F}(x, y)=langle x, 0angle). Prove that if (C) is any path from ((a, b)) to ((c,
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Let \(\mathbf{F}(x, y)=\langle x, 0angle\). Prove that if \(C\) is any path from \((a, b)\) to \((c, d)\), then
\[
\int_{C} \mathbf{F} \cdot d \mathbf{r}=\frac{1}{2}\left(c^{2}-a^{2}ight)
\]
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We denote the parametrization of the path by mathbfrtxt yt quad t0 leq t leq t1 quad mathbfrlef...View the full answer
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