Chapter 3.1, Problem 33E

Use a graphing utility to sketch each of the following vector-valued functions:

Consider the curve described by the vector—valued function

   $\text{r}\left(t\right)=\left(50e^{-t}\cos t\right)\text{i}+\left(50e^{-t}\sin t\right)\text{j}+\left(5-5e^{-t}\right)\text{k}$

33. What is the initial point of the path corresponding to $\text{r}\left(0\right)$ ?