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 ...

The easiest way to solve equations with brackets is to expand the brackets. \(\text{Area of a rectangle} = \text{base} \times \text{height}\). This means \(3r + 2\) will all be multiplied by 7.