sketch - 2

[logistic_guy]

Sketch.

$\displaystyle \bold{r}(t) = 4\cos t\bold{i} - 3\sin t\bold{j}$

 

[logistic_guy]

Piece of cake as you are now an expert in sketching.



$\displaystyle \cos t = \frac{x}{4}$

$\displaystyle \sin t = -\frac{y}{3}$

$\displaystyle \cos^2 t + \sin^2 t = \frac{x^2}{16} + \frac{y^2}{9} = 1$

It is just an ellipse. And I am sure that you can sketch it perfectly. The trace is clockwise or counterclockwise? Be smart!