1. Chapter 17 Section 17.8 Cylindrical Coordinates

2. x y z r The point of using different coordinate systems is to make the equations of certain curves much simpler (at least from a calculus perspective). x y z x y z x y z x y z x y z 1 4

3. x y z This is very useful for the descriptions of cones since they involve a square root which is difficult to deal with in terms of integrals. x y z x y z x y z x y z 2 4 3 x y z x y z x y z Some other well known shapes: 2 2 3 2

4. Integrating Factor (don’t forget) x y z x y 2

5. z y x y x 12 Project into xy -plane.

6. To evaluate the mass integral: