Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.
Section 12.12 : Cylindrical Coordinates
For problems 1 & 2 convert the Cartesian coordinates for the point into Cylindrical coordinates.
- \(\left( {4, - 5,2} \right)\) Solution
- \(\left( { - 4, - 1,8} \right)\) Solution
- Convert the following equation written in Cartesian coordinates into an equation in Cylindrical coordinates. \[{x^3} + 2{x^2} - 6z = 4 - 2{y^2}\] Solution
For problems 4 & 5 convert the equation written in Cylindrical coordinates into an equation in Cartesian coordinates.
- \(z\,r = 2 - {r^2}\) Solution
- \(\displaystyle 4\sin \left( \theta \right) - 2\cos \left( \theta \right) = \frac{r}{z}\) Solution
For problems 6 & 7 identify the surface generated by the given equation.