Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...

is the associated equation of dispersion . The in-plane "wavenumber component" defined by the polar coordinates and denoted here as k w is independent of the variable r and is given by ...