- Give a vector valued function whose graphical representation is a helix of radius 3 and whose axis is the vertical straight line passing through the point (0,2,0). Plot the helix and make a reference to it in your writeup.
- Using only Maple, do problems 14, 16, and 18 from section 11.2 of the text.
- Consider the two-dimensional position vector
where

*b*is a positive constant.- Determine the trajectory curve of . Be specific.(i.e. An ellipse centered at the origin intersecting its major axis at (-5,0) and (5,0) and intersecting its minor axis at (0,3) and (0,-3)). Be sure to explain how you determined the trajectory curve from the given position vector.
- Show that the speed is constant and explain why this is so. Then
find a value of the constant
*b*that gives a speed of 18. - Show that is perpendicular to .

- Suppose particle 1 is going around a circle and its position is
given by . Particle 2,
on the other hand, is going back and forth on the line
*y*=*ax*with position function , where*a*is a constant.- If
*a*=4, find the value of*t*, , for which the two particles collide. - Is it possible to find a positive real number
*a*for which the two particles do not collide for any value of*t*, ? Explain your answer.

- If

Tue Mar 25 09:42:50 EST 1997