Cardioids, which resemble the shape of a heart, are curve patterns in polar coordinates that originate from circles. If you want to identify a cardioid, search for equations that align with the format r = a ± a*cos(θ) or r = a ± a*sin(θ). When it comes to graphing, you should plot the r values in relation to θ, which results in a looped pattern. Remember that points that are more distant from the origin represent greater r values.
| Topic | Problem | Solution |
|---|---|---|
| None | Plot the cardioid given by the polar equation \(r… | Step 1: Recognize that the equation is in the form of a cardioid, \(r = a + bcos(\theta)\), where \… |