The original poster seeks assistance in finding a vector valued function that traces a curve defined by the equation 4x² + 9y² = 36, specifically in both counterclockwise and clockwise directions. The problem is situated within the context of parametric equations and curves, likely involving ellipses or circles.
Participants are exploring different approaches to parametrizing the curve, with some guidance provided on how to relate the ellipse to a circle. There is an ongoing exchange of ideas, but no explicit consensus has been reached regarding the final parametrization.
The discussion includes considerations of the direction of tracing the curve (counterclockwise and clockwise), which may influence the choice of parameters in the final function. The original poster's understanding of the problem setup appears to be a point of focus.
Townsend said:In case you don't remember the parametric equations of a circle are
x=a*cos(t)
y=a*sin(t)
Where a is the radius and as t increase in the positive direction the circle is traced out in a counter-clockwise direction...
With that and the information quasar987 gave you, you should be able to figure out what to do...
Good luck