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 | Find the slope of the tangent to the curve $r=4-4… | We are given the polar equation \(r=4-4 \cos \theta\) and we are asked to find the slope of the tan… |