- Consider the curve $r=3-3\cos \theta$. Draw the curve.
- Compute both $dx$ and $dy$ for the curve above (they will be in terms of $\theta$ and $d\theta$).
- Give a vector equation of the tangent line to the curve above at $\theta=\pi/2$.
- Compute the slope $dy/d\theta$ at $\theta=\pi/2$, and then give a Cartesian equation of the tangent line to the curve at $\theta=\pi/2$.
- Set up an integral formula to compute the arc length of this curve.
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