1. Set up a double integral to find the area inside a circle of radius 3, and then compute the double integral.
  2. Set up a double integral to find the area inside one petal of the rose $r=3\cos 2\theta$. Draw and shade the region.
  3. Set up an integral to find the arc length of one petal of the rose $r=3\cos 2\theta$.
  4. Set up a double integral to find the area bounded by the positive $x$ axis and one rotation of the shell $r=2\theta/pi$. (Draw the region.)
  5. Set up a double integral to find the arc length of the curve above.


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