Upload
others
View
5
Download
0
Embed Size (px)
Citation preview
2/22/02 47
Week 4. Double integralsin polar coordinates
2/22/02 48
Week 4. Double integralsin polar coordinates, heuristics
Cartesian coordinates Polar coordinates
2/22/02 49
Week 4. Double integrals to iteratedintegrals by polar coordinates
Fubini’s Theorem in polar coordinates
Sometimes such adomain is calleda polar rectangle.
2/22/02 50
Week 4. Integrating with polarcoordinates, an example
2/22/02 51
Week 4. The area of a domain
2/22/02 52
Week 4. An example, the area, a
2/22/02 53
Week 4. An example, the area, b
2/22/02 54
Week 4. Physical applications:mass, first moments
(impulsmoment)
2/22/02 55
Week 4. Physical applications:the center of mass
(zwaartepunt)
2/22/02 56
Week 4. Physical applications:second moments
(traagheidsmoment)