HomeworkMAC2313

Recommended Problems (Multivariable Calculus with Anton)

In each section I recommend that you solve all the odd-numbered problems unless specified otherwise.
Remember that the answers to the problems are online solutions manual.

Chapter 11

Section 11.1: Exercises 1, 3, 5, 7, 9, 10, 11, 13, 17--21, 25, 26, 28, 29--37, 47
Section 11.2:   Exercises 1, 3, 5, 7, 9, 10, 11, 15, 17, 21, 23, 29, 33, 35, 37, 39, 41, 43, 45, 47, 48, 50, 51, 55

Section 11.3:    Exercises 1, 2, 3, 4, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 28, 29, 31, 33, 35, 37, 41, 43, 44
Section 11.4:   Exercises 1, 3, 5, 7, 9, 10, 11, 13, 15, 17, 19, 21, 23, 24, 25, 35, 37, 41, 45, 47

Section 11.5: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57 Section 11.6:   Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 39, 41, 43, 45, 47, 49, 51

Section 11.7: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43, 45, 47, 49, 51
Section 11.8: Exercises 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 16, 17, 18 , 19, 21, 23, 24, 25, 26, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49

Chapter 12

Section 12.1: Exercises 1, 3, 5, 7, 9, 10, 11, 13, 15, 17--21, 25, 27, 28, 37, 41, 43, 45
Section 12.2:   Exercises 1, 3, 5, 7, 9, 11, 13, 15, 19--27, 29, 31, 33, 37, 39, 41, 43, 49, 51, 52, 53, 55

Section 12.3: Exercises 1, 3, 5, 7, 8, 9, 10, 11, 12, 13, 15, 17, 23, 25, 27, 38, 39, 40, 42, 43
Section 12.4:   Exercises 1, 2, 3, 5, 7, 9, 11, 13, 14, 15, 17, 19, 21, 23

Section 12.5: Exercises 5, 7, 9, 10, 13, 14, 15, 16, 17, 63, 64, 65, 66 Section 12.6:   Exercises 1, 2, 3, 4,5, 6, 7, 8, 13, 17, 19, 21, 25, 26, 27, 29, 31, 33 , 35, 39, 41, 43, 45, 51, 53, 55

Section 12.7: Exercises 1,2, 2, 4

Chapter 13

Section 13.1: Exercises 1, 3, 7, 13, 17, 19, 21, 23, 25, 27, 29, 31, 33, 39, 41, 43, 45, 47, 53, 55
Section 13.2: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 29, 30, 31, 32, 33, 35, 37, 39, 41, 43 , 49, 51

Section 13.3: Exercises 1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43, 45, 46, 47, 57, 59, 61, 63, 65, 67, 69, 73, 77, 79, 81, 83, 85, 90, 91, 93, 95, 99, 103
Section 13.4:   Exercises1, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31, 33, 35, 39, 41, 43, 45, 47, 49

Section 13.5: Exercises   1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 40, 41, 43, 53, 55, 57, 59, 61, 63   Section 13.6:   Exercises  1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 65

Section 13.7: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27
Section 13.8: Exercises 1, 3, 9, 11, 13, 15, 17, 19, 23, 27, 29, 31, 33, 35, 37, 39, 41, 43

Section 13.9 Exercises 1, 2, 5, 7, 9, 11, 13, 15, 17, 19, 21, 22, 24, 25, 26, 27, 29, 31

Chapter 14

Section 14.1: Exercises 1--15, 19, 21-25, 27, 29, 31, 33, 35
Section 14.2:   Exercises1-- 5, 7, 9, 10, 11, 13, 15, 17, 19, 21, 23, 29, 31, 35, 36, 37, 39, 41, 45, 47, 49, 51, 53, 55 , 61, 63

Section 14.3: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, 33,35, 37, 39, 41, 43
Section 14.4:   Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 27, 28, 29, 31, 37, 39, 41, 43, 45, 47, 49, 55

Section 14.5: Exercises 1, 3, 5, 7, 9, 10, 11, 13, 17--21, 23, 25, 27, 31, 33, 37, 39, 40 Section 14.6:   Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 29

Section 14.7: Exercises 1, 3, 5, 7, 9, 10, 11, 13, 17--21, 25, 27, 29, 35, 37, 39, 41, 44, 45, 46
Section 14.8: 1, 2, 3, 4, 5, 7, 9, 10, 11, 12, 17, 18, 19, 20, 21, 22, 31, 33, 35, 37, 38, 41, 43

Chapter 15

Section 15.1: Exercises 1, 2, 3, 4, 5, 7, 11, 13, 15, 17, 19, 21, 23, 25, 31-43 Section 15.2:   Exercises 1, 2,3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29, 31, 33, 37, 39, 41, 43, 45, 47, 50

Section 15.3 Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 27, 29, 31, 33
Section 15.4:   Exercises 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 25, 27, 28, 29, 31, 33, 35, 37, 39, 41

Section 15.5: Exercises 1, 3, 5, 7, 9, 13, 15, 17, 19, 23, 25, 27, 29, 31, 33, 35, 37,
Section 15.6:   Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25

Section 15.7: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 22, 23, 25, 29,
Section 15.8: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 18, 25

Section 11.1: Exercises 1, 3, 5, 7, 9, 10, 11, 13, 17--21, 25, 26, 28, 29--37, 47	Section 11.2: Exercises 1, 3, 5, 7, 9, 10, 11, 15, 17, 21, 23, 29, 33, 35, 37, 39, 41, 43, 45, 47, 48, 50, 51, 55
Section 11.3: Exercises 1, 2, 3, 4, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 28, 29, 31, 33, 35, 37, 41, 43, 44	Section 11.4: Exercises 1, 3, 5, 7, 9, 10, 11, 13, 15, 17, 19, 21, 23, 24, 25, 35, 37, 41, 45, 47
Section 11.5: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57	Section 11.6: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 39, 41, 43, 45, 47, 49, 51
Section 11.7: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43, 45, 47, 49, 51	Section 11.8: Exercises 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 16, 17, 18 , 19, 21, 23, 24, 25, 26, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49

Section 12.1: Exercises 1, 3, 5, 7, 9, 10, 11, 13, 15, 17--21, 25, 27, 28, 37, 41, 43, 45	Section 12.2: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 19--27, 29, 31, 33, 37, 39, 41, 43, 49, 51, 52, 53, 55
Section 12.3: Exercises 1, 3, 5, 7, 8, 9, 10, 11, 12, 13, 15, 17, 23, 25, 27, 38, 39, 40, 42, 43	Section 12.4: Exercises 1, 2, 3, 5, 7, 9, 11, 13, 14, 15, 17, 19, 21, 23
Section 12.5: Exercises 5, 7, 9, 10, 13, 14, 15, 16, 17, 63, 64, 65, 66	Section 12.6: Exercises 1, 2, 3, 4,5, 6, 7, 8, 13, 17, 19, 21, 25, 26, 27, 29, 31, 33 , 35, 39, 41, 43, 45, 51, 53, 55
Section 12.7: Exercises 1,2, 2, 4

Section 13.1: Exercises 1, 3, 7, 13, 17, 19, 21, 23, 25, 27, 29, 31, 33, 39, 41, 43, 45, 47, 53, 55	Section 13.2: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 29, 30, 31, 32, 33, 35, 37, 39, 41, 43 , 49, 51
Section 13.3: Exercises 1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43, 45, 46, 47, 57, 59, 61, 63, 65, 67, 69, 73, 77, 79, 81, 83, 85, 90, 91, 93, 95, 99, 103	Section 13.4: Exercises1, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31, 33, 35, 39, 41, 43, 45, 47, 49
Section 13.5: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 40, 41, 43, 53, 55, 57, 59, 61, 63	Section 13.6: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 65
Section 13.7: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27	Section 13.8: Exercises 1, 3, 9, 11, 13, 15, 17, 19, 23, 27, 29, 31, 33, 35, 37, 39, 41, 43
Section 13.9 Exercises 1, 2, 5, 7, 9, 11, 13, 15, 17, 19, 21, 22, 24, 25, 26, 27, 29, 31

Section 14.1: Exercises 1--15, 19, 21-25, 27, 29, 31, 33, 35	Section 14.2: Exercises1-- 5, 7, 9, 10, 11, 13, 15, 17, 19, 21, 23, 29, 31, 35, 36, 37, 39, 41, 45, 47, 49, 51, 53, 55 , 61, 63
Section 14.3: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, 33,35, 37, 39, 41, 43	Section 14.4: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 27, 28, 29, 31, 37, 39, 41, 43, 45, 47, 49, 55
Section 14.5: Exercises 1, 3, 5, 7, 9, 10, 11, 13, 17--21, 23, 25, 27, 31, 33, 37, 39, 40	Section 14.6: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 29
Section 14.7: Exercises 1, 3, 5, 7, 9, 10, 11, 13, 17--21, 25, 27, 29, 35, 37, 39, 41, 44, 45, 46	Section 14.8: 1, 2, 3, 4, 5, 7, 9, 10, 11, 12, 17, 18, 19, 20, 21, 22, 31, 33, 35, 37, 38, 41, 43

Section 15.1: Exercises 1, 2, 3, 4, 5, 7, 11, 13, 15, 17, 19, 21, 23, 25, 31-43	Section 15.2: Exercises 1, 2,3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29, 31, 33, 37, 39, 41, 43, 45, 47, 50
Section 15.3 Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 27, 29, 31, 33	Section 15.4: Exercises 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 25, 27, 28, 29, 31, 33, 35, 37, 39, 41
Section 15.5: Exercises 1, 3, 5, 7, 9, 13, 15, 17, 19, 23, 25, 27, 29, 31, 33, 35, 37,	Section 15.6: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
Section 15.7: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 22, 23, 25, 29,	Section 15.8: Exercises 1, 3, 5, 7, 9, 11, 13, 15, 18, 25