Calculus II: Cylindrical and Spherical coordinates

In this video, we discuss cylindrical and Spherical coordinates which can be useful on occasion when working with different coordinate systems to approach different kinds of problems.

00:00 - Introduction
00:12 - Definition of Cylindrical and Spherical coordinates
13:53 - Example 1
15:32 - Example 2
18:19 - Example 3
19:21 - Example 4
23:48 - Example 5
27:37 - Example 6
30:22 - Example 7
37:19 - Example 8

[jasminsingh]

Hi, I was just wondering how you went from x^2 +y^2+(z-9)^2=3(z-1)^2 to x^2+y^2 -8z^2 =-72at 44:10 and if it would impact the question if we used x^2+y^2-2z^2-12z=-78 instead?

[bozoman]

in ex 6 you assumed that 0<=ro<=1, is that always the case for ro ?

[DrillaVision_]

In the last example when you got rid of the square roots at 44:00, should the 3 on the right-hand side become a 9?