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 ...

Instead of using an axis to represent amplitude, the polar map uses color; warmer colors signify greater amplitude. To illustrate the relationship between the waterfall graph and the polar map, let’s ...

I help people communicate data clearly with graphs. Figure 1 shows four possible positions for the label on the Y-axis (the vertical axis.) I consider the top two to be acceptable and the bottom ...