1. 14.3 Day 2 change of variables

2. Example 3
Use polar coordinates to find the volume of the solid region bounded above and below by the hemisphere. The region is bounded above by
and below by the circular region
(note: the region is inside the cylinder)

3. Solution to problem 3

4. Example 4
Use a double integral to find the area enclosed by the graph of

5. Solution to Example 4

6. Example 5 Find the area of the region bounded above by the spiral
and below by the polar axis between

7. Recall:
Use the order drdө
Use the order dөdr

8. Solution to example 5