1. Chapter 15 Multiple Integrals Calculus 5e Early Transcendentals Multivariable James Stewart

2. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 2 Follow the link to the slide. Then click on the figure to play the animation. Animations A Figure 15.1.8 Figure 15.2.1-2 Figure 15.8.11

3. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 3 Section 15.1  Figures 4, 5

4. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 4 Section 15.1  Figure 7 The approximating rectangular boxes in Example 1

5. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 5 A Section 15.1  Figure 8 The Riemann sum approximations to the volume under The approximations become more accurate as m and n increase. M = n = 4 V  41.5 M = n = 8 V  44.875 M = n = 16 V  46.46875

6. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 6 Section 15.1  Figure 11

7. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 7 Section 15.1  Figure 12

8. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 8 Section 15.1  Figure 13

9. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 9 Section 15.2  Figures 1, 2 A

10. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 10 Section 15.8  Figure 7 A spherical wedge

11. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 11 Section 15.8  Figure 11 A

12. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 12 Section 15.8  Discovery Project The intersection of three cylinders