- Give a parametrization of the ellipse $\ds\frac{(x+2)^2}{9}+\frac{(y-4)^2}{25}=1$.
- Give a parametrization of the surface $y=4-x^2-z^2$. Give bounds for the portion of this surface with $y\geq 0$.
- Give a parametrization of a cylinder of radius 7 whose axis of rotation is the $z$-axis.
- Give a parametrization of a sphere of radius 3 centered at the origin. Give bounds to traverse the sphere exactly once.
- Repeat the above, but center the sphere at $(a,b,c)$ instead of $(0,0,0)$.
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