Limacons represent a category of polar curves, commonly represented by the equations r=a±b cos θ or r=a±b sin θ. Depending on the values of 'a' and 'b', these curves can form shapes that resemble a heart, a snail, or a teardrop. To visualize limacons, one can calculate points using the given equation, arrange them onto the polar coordinate plane, and then join these points to create a smooth curve.
| Topic | Problem | Solution |
|---|---|---|
| None | Identify and graph the limaçon described by the p… | Step 1: Identify the type of limaçon. Here, the equation is of the form \( r = a + b\cos{\theta} \)… |