2. -/0.6 points details my notes larpcalclimaga8 9.6.001. fill in the blanks. the equation r = 2 + cos(θ)…

Brief Explanations:

The general polar - form of a limacon is $r = a\pm b\cos\theta$ or $r=a\pm b\sin\theta$. For the equation $r = 2+\cos\theta$, we have $a = 2$ and $b = 1$. When $a>b>0$, the limacon is convex. A cardioid has $a = b$, a lemniscate has a different form like $r^{2}=a^{2}\cos2\theta$ or $r^{2}=a^{2}\sin2\theta$, and a circle has a form like $r = a$ (constant).

Answer:

convex limacon