Vector Functions and Space Curves: Examples

1. Change the following vector equation into component functions and parametric equations:

Anwser:

This anwser is easy, but Maple can help you with this problem by allowing you to graph the equation parametric equations also. Note: we need to activate the plots plackage.

>	with(plots);

>	spacecurve([2*t^2,t-4*t^3,-t],t=-10..10);

2. Find the limit of the following of the same equation as above as it approches 2:

Anwser:
To find the limit, simply take the limit of each component as t approches 2. Note: we need to activate the VectorCalculus package.

>	with(VectorCalculus);

>	limit(<2*t^2,t-4*t^3,-t>,t=2);