Which of the following correctly gives the parametric (x,y) representation of a polar curve r = f(θ)?

Compute the slope of the tangent line for the polar curve $r=4\theta$ at $\theta =\frac{\pi }{3}$.

Compute the area enclosed by one petal of the curve $r=\cos 4\theta$.

Compute the length of the polar curve $r=5e^{4\theta }$ for $0\le \theta \le \frac{1}{2}\ln 2$.

Find the area of the region inside the limaçon given by $r=2-\cos \theta$.