Calculate (int_{C} 1 d s), where the curve (C) is parametrized by (mathbf{r}(t)=langle 4 t,-3 t, 12

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Calculate \(\int_{C} 1 d s\), where the curve \(C\) is parametrized by \(\mathbf{r}(t)=\langle 4 t,-3 t, 12 tangle\) for \(2 \leq t \leq 5\). What does this integral represent?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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