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 |
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None | Consider the polar equation \(r = 1 + \cos(\theta… | Step 1: Identify the type of polar graph. The general form of a cardioid is either \(r = a + a \cos… |