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 ...

"Coordinates for the CNC Lathe" provides an overview of the coordinates used to program cutting operations on CNC lathes or turning centers. It introduces the systems of both Cartesian and polar ...

y\text{,}\) plane without converting it to cartesian coordinates. Clearly label all foci and vertices. (Hint: You may use the equation \(\ds r=\frac{ep}{1-e\cos \theta }\) without deriving it.) ...