Figure 4.3.2. Graph of \ (r=1+3\cos (2\theta)\text {?}\) Consider the curve given by the polar equation \ (r=1-2\sin \theta\text {,}\) for \ (0\leq \theta \lt 2\pi\text {.}\) Find the Cartesian ...

4. Consider the polar equation \ (r (3-k\cos \theta )=4\text {.}\) For what values of the constant \ (k\) is this conic section an ellipse? Now assume that \ (k\) has the value in the middle of the ...