MAC2313 Lecture Notes - Lecture 24: Mean Value Theorem, Riemann Sum, Cartesian Coordinate System
20 Dec 2017
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12. 7 triple integrals in spherical coordinates notes: sterling. Provide a generalization to each of the key terms listed in this section. Spherical coordinates system is a type of coordinate system that are in 3d, just like cylindrical coordinate system that help with simplify and evaluate triple integrals that are over regions while they are bounded by either spheres or cones. With the spherical coordinate system, it is very helpful when it comes to dealing with problems with symmetry while it"s at p (a point) with the origin is being placed at that given point. With that being said, the sphere with center the origin and c (the radius) with the following equation (hence why they are called the spherical coordinates): When graphed, = c would be a vertical half-plane. When graphed, = c would actually be a half-cone with the z-axis acting as its axis.
