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How do I approach this problem?

Graph the following polar curve and show that it cuts out 5 different regions. Find the area of each of those regions.

$$r=1+6\sin(\theta)+\cos(6\theta)$$

Also, find the arc length (numeric value) for each of the loops of this (the unfolded) graph.

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    What have you attempted?2012-11-22
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    @ncmathsadist i figured out points where $r=0$ but how do i find the area of 5 different regions?2012-11-22
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    have you plotted a graph?2012-11-22
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    @ncmathsadist yes i have2012-11-22
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    @jeffq: Have you got the answer yet?2012-11-24

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