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 ...

Find the equation of the tangent line to the polar curve \(r=1+\cos \theta\) at \(\ds ... plane without converting it to cartesian coordinates. Clearly label all foci and vertices. (Hint: You may use ...