(731, #17) Use a computer to graph the curve with the vector equation

(731, #17) Use a computer to graph the curve with the vector equation .
Make sure you choose a parameter domain and viewpoints that reveal the true nature of the curve.
Solution: The curve is a spiral with a rapidly growing z component. In the time the spiral circles three times the z component goes from 0 to . The graph illustrates these points.

The software Maple V was used to graph the vector equation.
Maple code

by: gm