copyright © 2008 pearson education, inc. chapter 9 multivariable calculus copyright © 2008 pearson...

Post on 19-Dec-2015

237 Views

Category:

Documents

0 Downloads

Preview:

Click to see full reader

TRANSCRIPT

Copyright © 2008 Pearson Education, Inc.

Chapter 9Multivariable Calculus

Copyright © 2008 Pearson Education, Inc.

Copyright © 2008 Pearson Education, Inc.

9.1Functions of Several Variables

Copyright © 2008 Pearson Education, Inc. Slide 9-3

Copyright © 2008 Pearson Education, Inc. Slide 9-4

Figure 1

Copyright © 2008 Pearson Education, Inc. Slide 9-5

Copyright © 2008 Pearson Education, Inc. Slide 9-6

Figure 2

Copyright © 2008 Pearson Education, Inc. Slide 9-7

Figure 3

Copyright © 2008 Pearson Education, Inc. Slide 9-8

Figure 4

Copyright © 2008 Pearson Education, Inc. Slide 9-9

Figure 5

Copyright © 2008 Pearson Education, Inc. Slide 9-10

Figure 6

Copyright © 2008 Pearson Education, Inc. Slide 9-11

Figure 7

Copyright © 2008 Pearson Education, Inc. Slide 9-12

Figure 8

Copyright © 2008 Pearson Education, Inc. Slide 9-13

Figure 9

Copyright © 2008 Pearson Education, Inc. Slide 9-14

Figure 10

Copyright © 2008 Pearson Education, Inc. Slide 9-15

Figure 11

Copyright © 2008 Pearson Education, Inc. Slide 9-16

Figure 12

Copyright © 2008 Pearson Education, Inc. Slide 9-17

Copyright © 2008 Pearson Education, Inc. Slide 9-18

Copyright © 2008 Pearson Education, Inc. Slide 9-19

Copyright © 2008 Pearson Education, Inc. Slide 9-20

Copyright © 2008 Pearson Education, Inc. Slide 9-21

Figure 13

Copyright © 2008 Pearson Education, Inc. Slide 9-22

Figure 14

Copyright © 2008 Pearson Education, Inc.

9.2Partial Derivatives

Copyright © 2008 Pearson Education, Inc. Slide 9-24

Copyright © 2008 Pearson Education, Inc. Slide 9-25

Copyright © 2008 Pearson Education, Inc. Slide 9-26

Figure 15

Copyright © 2008 Pearson Education, Inc. Slide 9-27

Figure 16

Copyright © 2008 Pearson Education, Inc. Slide 9-28

Copyright © 2008 Pearson Education, Inc.

9.3Maxima and Minima

Copyright © 2008 Pearson Education, Inc. Slide 9-30

Copyright © 2008 Pearson Education, Inc. Slide 9-31

Figure 17

Copyright © 2008 Pearson Education, Inc. Slide 9-32

Figure 18

Copyright © 2008 Pearson Education, Inc. Slide 9-33

Figure 19

Copyright © 2008 Pearson Education, Inc. Slide 9-34

Copyright © 2008 Pearson Education, Inc. Slide 9-35

Figure 20

Copyright © 2008 Pearson Education, Inc. Slide 9-36

Copyright © 2008 Pearson Education, Inc. Slide 9-37

Copyright © 2008 Pearson Education, Inc. Slide 9-38

Figure 21

Copyright © 2008 Pearson Education, Inc. Slide 9-39

Figure 22

Copyright © 2008 Pearson Education, Inc.

9.4Lagrange Multipliers

Copyright © 2008 Pearson Education, Inc. Slide 9-41

Figure 23

Copyright © 2008 Pearson Education, Inc. Slide 9-42

Copyright © 2008 Pearson Education, Inc. Slide 9-43

Copyright © 2008 Pearson Education, Inc. Slide 9-44

Figure 24

Copyright © 2008 Pearson Education, Inc. Slide 9-45

Figure 25

Copyright © 2008 Pearson Education, Inc. Slide 9-46

Figure 26

Copyright © 2008 Pearson Education, Inc.

9.5Total Differentials and Approximations

Copyright © 2008 Pearson Education, Inc. Slide 9-48

Copyright © 2008 Pearson Education, Inc. Slide 9-49

Copyright © 2008 Pearson Education, Inc. Slide 9-50

Copyright © 2008 Pearson Education, Inc. Slide 9-51

Copyright © 2008 Pearson Education, Inc. Slide 9-52

Figure 27

Copyright © 2008 Pearson Education, Inc.

9.6Double Integrals

Copyright © 2008 Pearson Education, Inc. Slide 9-54

Copyright © 2008 Pearson Education, Inc. Slide 9-55

Figure 28

Copyright © 2008 Pearson Education, Inc. Slide 9-56

Copyright © 2008 Pearson Education, Inc. Slide 9-57

Figure 29

Copyright © 2008 Pearson Education, Inc. Slide 9-58

Copyright © 2008 Pearson Education, Inc. Slide 9-59

Figure 30

Copyright © 2008 Pearson Education, Inc. Slide 9-60

Figure 31

Copyright © 2008 Pearson Education, Inc. Slide 9-61

Figure 32

Copyright © 2008 Pearson Education, Inc. Slide 9-62

Copyright © 2008 Pearson Education, Inc. Slide 9-63

Figure 33

Copyright © 2008 Pearson Education, Inc. Slide 9-64

Figure 34

Copyright © 2008 Pearson Education, Inc. Slide 9-65

Figure 35

Copyright © 2008 Pearson Education, Inc. Slide 9-66

Figure 36

Copyright © 2008 Pearson Education, Inc.

Using Multivariable Fitting to Create a Response Surface Design

Extended Application

Copyright © 2008 Pearson Education, Inc. Slide 9-68

Copyright © 2008 Pearson Education, Inc. Slide 9-69

Figure 37

Copyright © 2008 Pearson Education, Inc. Slide 9-70

Figure 38

Copyright © 2008 Pearson Education, Inc. Slide 9-71

Figure 39

Copyright © 2008 Pearson Education, Inc. Slide 9-72

Figure 40

Copyright © 2008 Pearson Education, Inc. Slide 9-73

Copyright © 2008 Pearson Education, Inc. Slide 9-74

Figure 41

Copyright © 2008 Pearson Education, Inc. Slide 9-75

Figure 42

Copyright © 2008 Pearson Education, Inc. Slide 9-76

Figure 43

Copyright © 2008 Pearson Education, Inc. Slide 9-77

Figure 44

Copyright © 2008 Pearson Education, Inc. Slide 9-78

Figure 45

Copyright © 2008 Pearson Education, Inc. Slide 9-79

Figure 46

Copyright © 2008 Pearson Education, Inc. Slide 9-80

Figure 47

top related