- Find the arc length of $\vec r(t) = (t^3,3t^2)$ for $t\in [1,3]$.
- Draw the curve $x=\sec t$, $y=-\tan t$. Put an arrow on your drawing to show direction of motion.
- Find focus of the parabola $x=5t+3$, $y=-t^2+2$.
- Plot the polar points with $(r,\theta)$ given by $(2,0)$, $(2,\pi/6)$, $(-2,\pi/6)$, $(4,\pi/2)$, $(-4,\pi/2)$.
- Give a Cartesian equation of the polar curve $r=\tan\theta\sec\theta$. Then find the focus.
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