Calculate (int_{C} 1 d s), where the curve (C) is parametrized by (mathbf{r}(t)=leftlangle e^{t}, sqrt{2} t, e^{-t}ightangle)

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Calculate $\int_{C} 1 d s$, where the curve $C$ is parametrized by $\mathbf{r}(t)=\left\langle e^{t}, \sqrt{2} t, e^{-t}ightangle$ for $0 \leq t \leq 2$.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 23, 2024 12:02 PM

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Calculate (int_{C} 1 d s), where the curve (C) is parametrized by (mathbf{r}(t)=leftlangle e^{t}, sqrt{2} t, e^{-t}ightangle)

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Calculus

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