(731, #19) Use a computer to graph the curve with the vector equation .
Make sure you choose parameter domain and viewpoints that reveal the true nature of the curve.

Solution: Since x is a square root of t, y is linear in t, and z is a quadratic function of t, the growth of x will be slow , the growth of y moderate and z will grow rapidly with t.

So the graph will be an arc that is going up very quickly.

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

Maple code

by: gm