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# In this exercise, use polar coordinates to describe the region shown.

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The figure shows a rose curve with three leaves ($n=3$), where $a = 4$. Then the equation of the rose curve is given by:

$r=4\cos 3\theta.$

The first leaf of the rose curve is located on the $x$-axis, so the curve's equation contains the cosine function.

Explanation: If a rose curve with $n$ leaves has the first leaf on the $x$-axis, then its equation is of the form:

$r=a\cos n\theta.$

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