Check below, please.
1) Let's plot that curve:
Part A.
Note that this Limaçon is written in the form:
[tex]r=a\pm b\sin(\theta)[/tex]
So as we can see, from r=3+3sin(theta) this Limaçon is a Cardiod for there are two positive constants, in this case 3 and 3.
Part C
Let's plot both and analyze it:
Note that while we can see a cardioid for r=3+3sin(theta) we can see that for the other curve a>b so there is a "bump" on the curve.
Apart from the shape itself, we can see that there is symmetry in the
ardiod while we can see any simmetry.
