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 ...

We haven’t really seen a true polar coordinate 3D printer, except for [Tyler Anderson]’s incredible Theta printer. [Tyler]’s theta printer is designed to print in as many different materials ...

This circle has the centre at the origin and a radius of 1 unit. The point P can move around the circumference of the circle. At point P the \(x\)-coordinate is \(\cos{\theta}\) and the \(y ...

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.) ...

This circle has the centre at the origin and a radius of 1 unit. The point P can move around the circumference of the circle. At point P the \(x\)-coordinate is \(\cos{\theta}\) and the \(y ...