ma215-080-f09 outline 2009-10-30

Last time we saw how to evaluate Triple Integrals over a 3D region E:
1. Take its projection, R;
2. Write the double integral;
3. At each dA, find the range of the third variable.
Side Note
Game: Consider a corner planter with density d(z) = 5(1-z).
1. Set up an integral for its mass, in rectangular coordinates;
2. In cylindrical coordinates;
3. Find the mass.
Key Point To set up the triple integral
Game: Set up the integral over the corner planter in a new order.
Game: Find the number of bubbles in a container if the density of bubbles is d = 5z.

2009-10-30: Triple Integrals and Cylindrical Coordinates