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Calculus 5e Early Transcendentals Multivariable James Stewart Chapter 16 Vector Calculus

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© 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 Figure Figure

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© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 3 Section 16.1 Figure 1 Air velocity vectors indicating wind speed and direction (a) 12:00 P.M., June 11, 2002 (b) 4:00 P.M., June 30, 2002

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© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 4 Section 16.1 Figures Examples of computer-generated vector fields

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© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 5 Section 16.1 Exercises I II III IV

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© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 6 Section 16.1 Exercises I II III IV

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© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 7 A Section 16.3 Figure 9 The vector field in Example 3

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© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 8 A Section 16.6 Figure 5 Grid curves for Animate u constant Animate v constant A

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© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 9 A Section 16.6 Figure 10 Computer-generated plot of the graph in Example 8

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© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 10 Section 16.6 Exercises III III IVVVI

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© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. 11 Section Summary Box Summary: Higher-dimensional versions of the Fundamental Theorem Fundamental Theorem of Calculus Fundamental Theorem for Line Integrals Green’s Theorem Stokes’ Theorem Divergence Theorem

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