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Solutions to Vector Calculus 6e by Marsden

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Table of Contents


Chapter 1: The Geometry of Euclidean Space
Section 1.1 Section 1.2 Section 1.3
Exercise 1 Exercise 14 Exercise 27 Exercise 1 Exercise 14 Exercise 27 Exercise 1 Exercise 14 Exercise 27 Exercise 40
Exercise 2 Exercise 15 Exercise 28 Exercise 2 Exercise 15 Exercise 28 Exercise 2 Exercise 15 Exercise 28 Exercise 41
Exercise 3 Exercise 16 Exercise 29 Exercise 3 Exercise 16 Exercise 29 Exercise 3 Exercise 16 Exercise 29 Exercise 42
Exercise 4 Exercise 17 Exercise 30 Exercise 4 Exercise 17 Exercise 30 Exercise 4 Exercise 17 Exercise 30 Exercise 43
Exercise 5 Exercise 18 Exercise 31 Exercise 5 Exercise 18 Exercise 31 Exercise 5 Exercise 18 Exercise 31 Exercise 44
Exercise 6 Exercise 19 Exercise 32 Exercise 6 Exercise 19 Exercise 32 Exercise 6 Exercise 19 Exercise 32 Exercise 45
Exercise 7 Exercise 20 Exercise 33 Exercise 7 Exercise 20 Exercise 33 Exercise 7 Exercise 20 Exercise 33 Exercise 46
Exercise 8 Exercise 21 Exercise 34 Exercise 8 Exercise 21 Exercise 34 Exercise 8 Exercise 21 Exercise 34
Exercise 9 Exercise 22 Exercise 35 Exercise 9 Exercise 22 Exercise 35 Exercise 9 Exercise 22 Exercise 35
Exercise 10 Exercise 23 Exercise 36 Exercise 10 Exercise 23 Exercise 36 Exercise 10 Exercise 23 Exercise 36
Exercise 11 Exercise 24 Exercise 37 Exercise 11 Exercise 24 Exercise 37 Exercise 11 Exercise 24 Exercise 37
Exercise 12 Exercise 25 Exercise 12 Exercise 25 Exercise 38 Exercise 12 Exercise 25 Exercise 38
Exercise 13 Exercise 26 Exercise 13 Exercise 26 Exercise 39 Exercise 13 Exercise 26 Exercise 39

Chapter 1: The Geometry of Euclidean Space (cont'd)
Section 1.4 Section 1.5 Review
Exercise 1 Exercise 13 Exercise 1 Exercise 13 Exercise 1 Exercise 13 Exercise 25 Exercise 37 Exercise 49
Exercise 2 Exercise 14 Exercise 2 Exercise 14 Exercise 2 Exercise 14 Exercise 26 Exercise 38 Exercise 50
Exercise 3 Exercise 15 Exercise 3 Exercise 15 Exercise 3 Exercise 15 Exercise 27 Exercise 39 Exercise 51
Exercise 4 Exercise 16 Exercise 4 Exercise 16 Exercise 4 Exercise 16 Exercise 28 Exercise 40 Exercise 52
Exercise 5 Exercise 17 Exercise 5 Exercise 17 Exercise 5 Exercise 17 Exercise 29 Exercise 41 Exercise 53
Exercise 6 Exercise 18 Exercise 6 Exercise 18 Exercise 6 Exercise 18 Exercise 30 Exercise 42 Exercise 54
Exercise 7 Exercise 19 Exercise 7 Exercise 19 Exercise 7 Exercise 19 Exercise 31 Exercise 43 Exercise 55
Exercise 8 Exercise 20 Exercise 8 Exercise 20 Exercise 8 Exercise 20 Exercise 32 Exercise 44 Exercise 56
Exercise 9 Exercise 21 Exercise 9 Exercise 21 Exercise 9 Exercise 21 Exercise 33 Exercise 45 Exercise 57
Exercise 10 Exercise 22 Exercise 10 Exercise 22 Exercise 10 Exercise 22 Exercise 34 Exercise 46
Exercise 11 Exercise 11 Exercise 23 Exercise 11 Exercise 23 Exercise 35 Exercise 47
Exercise 12 Exercise 12 Exercise 24 Exercise 12 Exercise 24 Exercise 36 Exercise 48

Chapter 2: Differentiation
Section 2.1 Section 2.2 Section 2.3 Section 2.4
Exercise 1 Exercise 15 Exercise 29 Exercise 1 Exercise 15 Exercise 29 Exercise 1 Exercise 15 Exercise 1 Exercise 15
Exercise 2 Exercise 16 Exercise 30 Exercise 2 Exercise 16 Exercise 30 Exercise 2 Exercise 16 Exercise 2 Exercise 16
Exercise 3 Exercise 17 Exercise 31 Exercise 3 Exercise 17 Exercise 31 Exercise 3 Exercise 17 Exercise 3 Exercise 17
Exercise 4 Exercise 18 Exercise 32 Exercise 4 Exercise 18 Exercise 32 Exercise 4 Exercise 18 Exercise 4 Exercise 18
Exercise 5 Exercise 19 Exercise 33 Exercise 5 Exercise 19 Exercise 33 Exercise 5 Exercise 19 Exercise 5 Exercise 19
Exercise 6 Exercise 20 Exercise 34 Exercise 6 Exercise 20 Exercise 34 Exercise 6 Exercise 20 Exercise 6 Exercise 20
Exercise 7 Exercise 21 Exercise 35 Exercise 7 Exercise 21 Exercise 35 Exercise 7 Exercise 21 Exercise 7 Exercise 21
Exercise 8 Exercise 22 Exercise 36 Exercise 8 Exercise 22 Exercise 8 Exercise 22 Exercise 8 Exercise 22
Exercise 9 Exercise 23 Exercise 37 Exercise 9 Exercise 23 Exercise 9 Exercise 23 Exercise 9 Exercise 23
Exercise 10 Exercise 24 Exercise 38 Exercise 10 Exercise 24 Exercise 10 Exercise 24 Exercise 10 Exercise 24
Exercise 11 Exercise 25 Exercise 39 Exercise 11 Exercise 25 Exercise 11 Exercise 25 Exercise 11 Exercise 25
Exercise 12 Exercise 26 Exercise 40 Exercise 12 Exercise 26 Exercise 12 Exercise 26 Exercise 12
Exercise 13 Exercise 27 Exercise 41 Exercise 13 Exercise 27 Exercise 13 Exercise 27 Exercise 13
Exercise 14 Exercise 28 Exercise 42 Exercise 14 Exercise 28 Exercise 14 Exercise 28 Exercise 14

Chapter 2: Differentiation
Section 2.5 Section 2.6
Exercise 1 Exercise 10 Exercise 19 Exercise 28 Exercise 1 Exercise 10 Exercise 19 Exercise 28
Exercise 2 Exercise 11 Exercise 20 Exercise 29 Exercise 2 Exercise 11 Exercise 20 Exercise 29
Exercise 3 Exercise 12 Exercise 21 Exercise 30 Exercise 3 Exercise 12 Exercise 21 Exercise 30
Exercise 4 Exercise 13 Exercise 22 Exercise 31 Exercise 4 Exercise 13 Exercise 22 Exercise 31
Exercise 5 Exercise 14 Exercise 23 Exercise 32 Exercise 5 Exercise 14 Exercise 23 Exercise 32
Exercise 6 Exercise 15 Exercise 24 Exercise 33 Exercise 6 Exercise 15 Exercise 24
Exercise 7 Exercise 16 Exercise 25 Exercise 34 Exercise 7 Exercise 16 Exercise 25
Exercise 8 Exercise 17 Exercise 26 Exercise 35 Exercise 8 Exercise 17 Exercise 26
Exercise 9 Exercise 18 Exercise 27 Exercise 36 Exercise 9 Exercise 18 Exercise 27

Chapter 2: Differentiation
Review
Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7 Exercise 8 Exercise 9
Exercise 10 Exercise 11 Exercise 12 Exercise 13 Exercise 14 Exercise 15 Exercise 16 Exercise 17 Exercise 18
Exercise 19 Exercise 20 Exercise 21 Exercise 22 Exercise 23 Exercise 24 Exercise 25 Exercise 26 Exercise 27
Exercise 28 Exercise 29 Exercise 30 Exercise 31 Exercise 32 Exercise 33 Exercise 34 Exercise 35 Exercise 36
Exercise 37 Exercise 38 Exercise 39 Exercise 40 Exercise 41 Exercise 42 Exercise 43 Exercise 44 Exercise 45
Exercise 46 Exercise 47 Exercise 48 Exercise 49 Exercise 50 Exercise 51 Exercise 52 Exercise 53 Exercise 54
Exercise 55 Exercise 56 Exercise 57 Exercise 58 Exercise 59 Exercise 60 Exercise 61 Exercise 62

Chapter 3: Higher-Order Derivatives: Maxima and Minima
Section 3.1
Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7 Exercise 8
Exercise 9 Exercise 10 Exercise 11 Exercise 12 Exercise 13 Exercise 14 Exercise 15 Exercise 16
Exercise 17 Exercise 18 Exercise 19 Exercise 20 Exercise 21 Exercise 22 Exercise 23 Exercise 24
Exercise 25 Exercise 26 Exercise 27 Exercise 28 Exercise 29 Exercise 30 Exercise 31 Exercise 32

Chapter 3: Higher-Order Derivatives: Maxima and Minima (cont'd)
Sec. 3.2 Sec. 3.3 Sec. 3.4 Sec. 3.5
Exercise 1 Exercise 1 Exercise 14 Exercise 27 Exercise 40 Exercise 1 Exercise 14 Exercise 27 Exercise 1 Exercise 14
Exercise 2 Exercise 2 Exercise 15 Exercise 28 Exercise 41 Exercise 2 Exercise 15 Exercise 28 Exercise 2 Exercise 15
Exercise 3 Exercise 3 Exercise 16 Exercise 29 Exercise 42 Exercise 3 Exercise 16 Exercise 29 Exercise 3 Exercise 16
Exercise 4 Exercise 4 Exercise 17 Exercise 30 Exercise 43 Exercise 4 Exercise 17 Exercise 30 Exercise 4 Exercise 17
Exercise 5 Exercise 5 Exercise 18 Exercise 31 Exercise 44 Exercise 5 Exercise 18 Exercise 31 Exercise 5 Exercise 18
Exercise 6 Exercise 6 Exercise 19 Exercise 32 Exercise 45 Exercise 6 Exercise 19 Exercise 32 Exercise 6 Exercise 19
Exercise 7 Exercise 7 Exercise 20 Exercise 33 Exercise 46 Exercise 7 Exercise 20 Exercise 33 Exercise 7
Exercise 8 Exercise 8 Exercise 21 Exercise 34 Exercise 47 Exercise 8 Exercise 21 Exercise 34 Exercise 8
Exercise 9 Exercise 9 Exercise 22 Exercise 35 Exercise 48 Exercise 9 Exercise 22 Exercise 35 Exercise 9
Exercise 10 Exercise 10 Exercise 23 Exercise 36 Exercise 49 Exercise 10 Exercise 23 Exercise 36 Exercise 10
Exercise 11 Exercise 11 Exercise 24 Exercise 37 Exercise 50 Exercise 11 Exercise 24 Exercise 37 Exercise 11
Exercise 12 Exercise 12 Exercise 25 Exercise 38 Exercise 51 Exercise 12 Exercise 25 Exercise 38 Exercise 12
Exercise 13 Exercise 13 Exercise 26 Exercise 39 Exercise 52 Exercise 13 Exercise 26 Exercise 39 Exercise 13

Chapter 3: Higher-Order Derivatives: Maxima and Minima (cont'd 2)
Review
Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7 Exercise 8 Exercise 9 Exercise 10
Exercise 11 Exercise 12 Exercise 13 Exercise 14 Exercise 15 Exercise 16 Exercise 17 Exercise 18 Exercise 19 Exercise 20
Exercise 21 Exercise 22 Exercise 23 Exercise 24 Exercise 25 Exercise 26 Exercise 27 Exercise 28 Exercise 29 Exercise 30
Exercise 31 Exercise 32 Exercise 33 Exercise 34 Exercise 35 Exercise 36 Exercise 37 Exercise 38 Exercise 39 Exercise 40
Exercise 41 Exercise 42 Exercise 43 Exercise 44 Exercise 45 Exercise 46 Exercise 47 Exercise 48 Exercise 49

Chapter 4: Vector-Valued Functions
Sec. 4.1 Sec. 4.2 Sec. 4.3
Exercise 1 Exercise 10 Exercise 19 Exercise 1 Exercise 10 Exercise 19 Exercise 1 Exercise 10 Exercise 19
Exercise 2 Exercise 11 Exercise 20 Exercise 2 Exercise 11 Exercise 20 Exercise 2 Exercise 11 Exercise 20
Exercise 3 Exercise 12 Exercise 21 Exercise 3 Exercise 12 Exercise 21 Exercise 3 Exercise 12 Exercise 21
Exercise 4 Exercise 13 Exercise 22 Exercise 4 Exercise 13 Exercise 22 Exercise 4 Exercise 13 Exercise 22
Exercise 5 Exercise 14 Exercise 23 Exercise 5 Exercise 14 Exercise 23 Exercise 5 Exercise 14 Exercise 23
Exercise 6 Exercise 15 Exercise 24 Exercise 6 Exercise 15 Exercise 24 Exercise 6 Exercise 15 Exercise 24
Exercise 7 Exercise 16 Exercise 25 Exercise 7 Exercise 16 Exercise 25 Exercise 7 Exercise 16 Exercise 25
Exercise 8 Exercise 17 Exercise 26 Exercise 8 Exercise 17 Exercise 8 Exercise 17 Exercise 26
Exercise 9 Exercise 18 Exercise 27 Exercise 9 Exercise 18 Exercise 9 Exercise 18 Exercise 27

Chapter 4: Vector-Valued Functions (cont'd)
Sec. 4.4 Review
Exercise 1 Exercise 10 Exercise 19 Exercise 28 Exercise 37 Exercise 1 Exercise 10 Exercise 19 Exercise 28 Exercise 37
Exercise 2 Exercise 11 Exercise 20 Exercise 29 Exercise 38 Exercise 2 Exercise 11 Exercise 20 Exercise 29 Exercise 38
Exercise 3 Exercise 12 Exercise 21 Exercise 30 Exercise 39 Exercise 3 Exercise 12 Exercise 21 Exercise 30 Exercise 39
Exercise 4 Exercise 13 Exercise 22 Exercise 31 Exercise 40 Exercise 4 Exercise 13 Exercise 22 Exercise 31 Exercise 40
Exercise 5 Exercise 14 Exercise 23 Exercise 32 Exercise 41 Exercise 5 Exercise 14 Exercise 23 Exercise 32 Exercise 41
Exercise 6 Exercise 15 Exercise 24 Exercise 33 Exercise 6 Exercise 15 Exercise 24 Exercise 33
Exercise 7 Exercise 16 Exercise 25 Exercise 34 Exercise 7 Exercise 16 Exercise 25 Exercise 34
Exercise 8 Exercise 17 Exercise 26 Exercise 35 Exercise 8 Exercise 17 Exercise 26 Exercise 35
Exercise 9 Exercise 18 Exercise 27 Exercise 36 Exercise 9 Exercise 18 Exercise 27 Exercise 36

Chapter 5: Double and Triple Integrals
Sec. 5.1 Sec. 5.2 Sec. 5.3
Exercise 1 Exercise 7 Exercise 13 Exercise 1 Exercise 7 Exercise 13 Exercise 1 Exercise 7 Exercise 13 Exercise 19
Exercise 2 Exercise 8 Exercise 14 Exercise 2 Exercise 8 Exercise 14 Exercise 2 Exercise 8 Exercise 14 Exercise 20
Exercise 3 Exercise 9 Exercise 15 Exercise 3 Exercise 9 Exercise 15 Exercise 3 Exercise 9 Exercise 15 Exercise 21
Exercise 4 Exercise 10 Exercise 4 Exercise 10 Exercise 16 Exercise 4 Exercise 10 Exercise 16
Exercise 5 Exercise 11 Exercise 5 Exercise 11 Exercise 17 Exercise 5 Exercise 11 Exercise 17
Exercise 6 Exercise 12 Exercise 6 Exercise 12 Exercise 18 Exercise 6 Exercise 12 Exercise 18

Chapter 5: Double and Triple Integrals (cont'd)
Sec. 5.4 Sec. 5.5 Review
Exercise 1 Exercise 11 Exercise 1 Exercise 11 Exercise 21 Exercise 31 Exercise 1 Exercise 11 Exercise 21 Exercise 31
Exercise 2 Exercise 12 Exercise 2 Exercise 12 Exercise 22 Exercise 2 Exercise 12 Exercise 22 Exercise 32
Exercise 3 Exercise 13 Exercise 3 Exercise 13 Exercise 23 Exercise 3 Exercise 13 Exercise 23 Exercise 33
Exercise 4 Exercise 14 Exercise 4 Exercise 14 Exercise 24 Exercise 4 Exercise 14 Exercise 24 Exercise 34
Exercise 5 Exercise 15 Exercise 5 Exercise 15 Exercise 25 Exercise 5 Exercise 15 Exercise 25 Exercise 35
Exercise 6 Exercise 16 Exercise 6 Exercise 16 Exercise 26 Exercise 6 Exercise 16 Exercise 26 Exercise 36
Exercise 7 Exercise 17 Exercise 7 Exercise 17 Exercise 27 Exercise 7 Exercise 17 Exercise 27 Exercise 37
Exercise 8 Exercise 18 Exercise 8 Exercise 18 Exercise 28 Exercise 8 Exercise 18 Exercise 28
Exercise 9 Exercise 19 Exercise 9 Exercise 19 Exercise 29 Exercise 9 Exercise 19 Exercise 29
Exercise 10 Exercise 10 Exercise 20 Exercise 30 Exercise 10 Exercise 20 Exercise 30

Chapter 6: The Change of Variables Formula and Applications of Integration
Sec. 6.1 Sec. 6.2
Exercise 1 Exercise 7 Exercise 13 Exercise 1 Exercise 7 Exercise 13 Exercise 19 Exercise 25 Exercise 31 Exercise 37
Exercise 2 Exercise 8 Exercise 14 Exercise 2 Exercise 8 Exercise 14 Exercise 20 Exercise 26 Exercise 32 Exercise 38
Exercise 3 Exercise 9 Exercise 15 Exercise 3 Exercise 9 Exercise 15 Exercise 21 Exercise 27 Exercise 33
Exercise 4 Exercise 10 Exercise 4 Exercise 10 Exercise 16 Exercise 22 Exercise 28 Exercise 34
Exercise 5 Exercise 11 Exercise 5 Exercise 11 Exercise 17 Exercise 23 Exercise 29 Exercise 35
Exercise 6 Exercise 12 Exercise 6 Exercise 12 Exercise 18 Exercise 24 Exercise 30 Exercise 36

Chapter 6: The Change of Variables Formula and Applications of Integration (cont'd)
Sec. 6.3 Sec. 6.4
Exercise 1 Exercise 6 Exercise 11 Exercise 16 Exercise 21 Exercise 1 Exercise 6 Exercise 11 Exercise 16 Exercise 21
Exercise 2 Exercise 7 Exercise 12 Exercise 17 Exercise 22 Exercise 2 Exercise 7 Exercise 12 Exercise 17
Exercise 3 Exercise 8 Exercise 13 Exercise 18 Exercise 23 Exercise 3 Exercise 8 Exercise 13 Exercise 18
Exercise 4 Exercise 9 Exercise 14 Exercise 19 Exercise 24 Exercise 4 Exercise 9 Exercise 14 Exercise 19
Exercise 5 Exercise 10 Exercise 15 Exercise 20 Exercise 25 Exercise 5 Exercise 10 Exercise 15 Exercise 20

Chapter 6: The Change of Variables Formula and Applications of Integration (cont'd 2)
Review
Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7 Exercise 8 Exercise 9
Exercise 10 Exercise 11 Exercise 12 Exercise 13 Exercise 14 Exercise 15 Exercise 16 Exercise 17 Exercise 18
Exercise 19 Exercise 20 Exercise 21 Exercise 22 Exercise 23 Exercise 24 Exercise 25 Exercise 26 Exercise 27
Exercise 28 Exercise 29 Exercise 30 Exercise 31 Exercise 32 Exercise 33

Chapter 7: Integrals Over Paths and Surfaces
Sec. 7.1 Sec. 7.2 Sec. 7.3
Exercise 1 Exercise 9 Exercise 17 Exercise 25 Exercise 1 Exercise 9 Exercise 17 Exercise 1 Exercise 9 Exercise 17
Exercise 2 Exercise 10 Exercise 18 Exercise 26 Exercise 2 Exercise 10 Exercise 18 Exercise 2 Exercise 10 Exercise 18
Exercise 3 Exercise 11 Exercise 19 Exercise 27 Exercise 3 Exercise 11 Exercise 19 Exercise 3 Exercise 11 Exercise 19
Exercise 4 Exercise 12 Exercise 20 Exercise 28 Exercise 4 Exercise 12 Exercise 20 Exercise 4 Exercise 12 Exercise 20
Exercise 5 Exercise 13 Exercise 21 Exercise 29 Exercise 5 Exercise 13 Exercise 21 Exercise 5 Exercise 13 Exercise 21
Exercise 6 Exercise 14 Exercise 22 Exercise 6 Exercise 14 Exercise 22 Exercise 6 Exercise 14 Exercise 22
Exercise 7 Exercise 15 Exercise 23 Exercise 7 Exercise 15 Exercise 7 Exercise 15 Exercise 23
Exercise 8 Exercise 16 Exercise 24 Exercise 8 Exercise 16 Exercise 8 Exercise 16 Exercise 24

Chapter 7: Integrals Over Paths and Surfaces (cont'd)
Sec. 7.4 Sec. 7.5
Exercise 1 Exercise 8 Exercise 15 Exercise 22 Exercise 1 Exercise 8 Exercise 15 Exercise 22
Exercise 2 Exercise 9 Exercise 16 Exercise 23 Exercise 2 Exercise 9 Exercise 16 Exercise 23
Exercise 3 Exercise 10 Exercise 17 Exercise 24 Exercise 3 Exercise 10 Exercise 17 Exercise 24
Exercise 4 Exercise 11 Exercise 18 Exercise 25 Exercise 4 Exercise 11 Exercise 18 Exercise 25
Exercise 5 Exercise 12 Exercise 19 Exercise 26 Exercise 5 Exercise 12 Exercise 19 Exercise 26
Exercise 6 Exercise 13 Exercise 20 Exercise 27 Exercise 6 Exercise 13 Exercise 20 Exercise 27
Exercise 7 Exercise 14 Exercise 21 Exercise 7 Exercise 14 Exercise 21 Exercise 28

Chapter 7: Integrals Over Paths and Surfaces (cont'd 2)
Sec. 7.6 Sec. 7.7 Review
Exercise 1 Exercise 9 Exercise 17 Exercise 1 Exercise 9 Exercise 1 Exercise 9 Exercise 17 Exercise 25
Exercise 2 Exercise 10 Exercise 18 Exercise 2 Exercise 10 Exercise 2 Exercise 10 Exercise 18 Exercise 26
Exercise 3 Exercise 11 Exercise 19 Exercise 3 Exercise 11 Exercise 3 Exercise 11 Exercise 19 Exercise 27
Exercise 4 Exercise 12 Exercise 20 Exercise 4 Exercise 12 Exercise 4 Exercise 12 Exercise 20 Exercise 28
Exercise 5 Exercise 13 Exercise 21 Exercise 5 Exercise 5 Exercise 13 Exercise 21 Exercise 29
Exercise 6 Exercise 14 Exercise 22 Exercise 6 Exercise 6 Exercise 14 Exercise 22
Exercise 7 Exercise 15 Exercise 7 Exercise 7 Exercise 15 Exercise 23
Exercise 8 Exercise 16 Exercise 8 Exercise 8 Exercise 16 Exercise 24

Chapter 8: The Integral Theorems of Vector Analysis
Sec. 8.1 Sec. 8.2
Exercise 1 Exercise 9 Exercise 17 Exercise 25 Exercise 33 Exercise 1 Exercise 9 Exercise 17 Exercise 25 Exercise 33
Exercise 2 Exercise 10 Exercise 18 Exercise 26 Exercise 34 Exercise 2 Exercise 10 Exercise 18 Exercise 26 Exercise 34
Exercise 3 Exercise 11 Exercise 19 Exercise 27 Exercise 35 Exercise 3 Exercise 11 Exercise 19 Exercise 27 Exercise 35
Exercise 4 Exercise 12 Exercise 20 Exercise 28 Exercise 36 Exercise 4 Exercise 12 Exercise 20 Exercise 28 Exercise 36
Exercise 5 Exercise 13 Exercise 21 Exercise 29 Exercise 37 Exercise 5 Exercise 13 Exercise 21 Exercise 29 Exercise 37
Exercise 6 Exercise 14 Exercise 22 Exercise 30 Exercise 6 Exercise 14 Exercise 22 Exercise 30
Exercise 7 Exercise 15 Exercise 23 Exercise 31 Exercise 7 Exercise 15 Exercise 23 Exercise 31
Exercise 8 Exercise 16 Exercise 24 Exercise 32 Exercise 8 Exercise 16 Exercise 24 Exercise 32

Chapter 8: The Integral Theorems of Vector Analysis (cont'd)
Sec. 8.3 Sec. 8.4
Exercise 1 Exercise 7 Exercise 13 Exercise 19 Exercise 25 Exercise 1 Exercise 7 Exercise 13 Exercise 19 Exercise 25
Exercise 2 Exercise 8 Exercise 14 Exercise 20 Exercise 26 Exercise 2 Exercise 8 Exercise 14 Exercise 20 Exercise 26
Exercise 3 Exercise 9 Exercise 15 Exercise 21 Exercise 27 Exercise 3 Exercise 9 Exercise 15 Exercise 21 Exercise 27
Exercise 4 Exercise 10 Exercise 16 Exercise 22 Exercise 28 Exercise 4 Exercise 10 Exercise 16 Exercise 22 Exercise 28
Exercise 5 Exercise 11 Exercise 17 Exercise 23 Exercise 29 Exercise 5 Exercise 11 Exercise 17 Exercise 23 Exercise 29
Exercise 6 Exercise 12 Exercise 18 Exercise 24 Exercise 6 Exercise 12 Exercise 18 Exercise 24 Exercise 30

Chapter 8: The Integral Theorems of Vector Analysis (cont'd 2)
Sec. 8.5 Review
Exercise 1 Exercise 5 Exercise 9 Exercise 13 Exercise 1 Exercise 5 Exercise 9 Exercise 13 Exercise 17 Exercise 21
Exercise 2 Exercise 6 Exercise 10 Exercise 14 Exercise 2 Exercise 6 Exercise 10 Exercise 14 Exercise 18 Exercise 22
Exercise 3 Exercise 7 Exercise 11 Exercise 3 Exercise 7 Exercise 11 Exercise 15 Exercise 19 Exercise 23
Exercise 4 Exercise 8 Exercise 12 Exercise 4 Exercise 8 Exercise 12 Exercise 16 Exercise 20 Exercise 24

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