?Consider the curve described by the vector-valued function \(\mathbf{r}(t)=\left(50
Chapter 3, Problem 34(choose chapter or problem)
Consider the curve described by the vector-valued function \(\mathbf{r}(t)=\left(50 e^{-t} \cos t\right) \mathbf{i}+\left(50 e^{-t} \sin t\right) \mathbf{j}+\left(5-5 e^{-t}\right) \mathbf{k}\).
What is \(\lim _{t \rightarrow \infty} \mathbf{r}(t)\) ?
Text Transcription:
r(t) = (50e^-t cos t) i + (50e^-t sin t) j + (5-5e^-t) k
lim _t rightarrow infty r(t)
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