Multivariable Calculus, Spring 2021
Book Problems
Here are the suggested book problems from Stewart's Essential Calculus, Chapters 9–12. Each set is to be completed for the day after we complete the corresponding section in the lecture. E1 corresponds to Edition 1 of Essential Calculus and E2 corresponds to Edition 2 of Essential Calculus.
Work on all problems! Bold questions should be made higher priority. Italic questions are harder than average.
Chapter 9.1
E1: 1, 4, 9, 13, 15, 18, 21, 22, 24, 29,
Challenge Question: 39
E2: 1, 4, 9, 13, 15, 18, 21, 22, 24, 29,
Challenge Question: 39
Chapter 9.2
E1: 2, 3, 6, 7, 11, 13, 16, 17, 21 (use your calculator), 27, 28, 29, 35 (And use your calculator to give the answer within 4 decimal places), 37, 40, 41, 44, 53, 54
E2: 2, 3, 6, 7, 11, 13, 16, 17, 21 (use your calculator), 27, 28, 29, 35 (And use your calculator to give the answer within 4 decimal places), 37, 38, 41, 44, 53, 54
Chapter 9.3
E1: 1, 3, 5, 8, 11, 14, 17, 21, 26, 27, 28, 29, 34, 38, 39, 41, 46, 55, 57, 58, 61, 66
E2: 1, 3, 5, 9, 11, 14, 18, 21, 23, 25, 29, 33, 34, 38, 39, 41, 46, 55, 57, 58, 61, 66
If you are shaky on polar coordinates, I suggest doing all of questions 1-20 (and more!)
Chapter 9.4
E1: 1, 5, 6, 9, 10, 16, 17, 20, 21, 25, 29–32
E2: 1, 5, 6, 9, 11, 15, 17, 20, 21, 25, 29–32
Chapter 10.1
E1: 4, 5, 10, 11, 13, 19, 21, 23, 25, 27, 29, 31, 33
E2: 4, 5, 10, 11, 13, 19, 21, 23, 25, 27, 29, 31, 33
Chapter 10.2
E1: 2, 4, 9, 11, 13, 15, 17, 19, 21, 25, 27,
E2: 2, 4, 9, 11, 13, 15, 17, 21, 24, 29, 35,
Chapter 10.3
E1: 1, 3, 6, 7, 9, 10, 12, 13, 16, 17, 19, 21, 22, 23, 26, 27, 31, 33, 39,
Challenge Questions: 30, 36, 43
E2: 1, 6, 7, 9, 11, 12, 14, 15, 18, 19, 21, 23, 24, 29, 32, 33, 37, 39, 45,
Challenge Questions: 36, 42, 49
Chapter 10.4
E1: 3, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 21, 23, 25, 27, 29, 33, 35, 36, 45, Challenge Questions: 38, 42
E2: 3, 4, 6, 7, 8, 13, 14, 16, 18, 19, 20, 25, 27, 29, 31, 33, 37, 39, 40, 53, Challenge Questions: 42, 50
Chapter 10.5
E1: 1, 4, 5, 10, 14, 15, 17, 18, 24, 25, 27, 29, 33, 34, 38, 41, 43.
Challenge Question: 54
E2: 1, 4, 5, 10, 14, 15, 17, 18, 24, 25, 27, 29, 35, 36, 40, 43, 45.
Challenge Question: 56
Chapter 10.6
E1: 5, 6, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29, 30,
Challenge Questions: 31, 34
E2: 5, 7, 8, 9, 17, 13, 15, 16, 19, 24, 25, 29, 30,
Challenge Questions: 31, 34
Chapter 10.7
E1: 2, 3, 4, 5, 7, 11, (17-22), 23, 24, 28, 29, 33, 35, 37, 39, 41, 43, 45, 47, 48, 49, 51, 55, 56, 57, 58, 59, 61, 63, 65, 66, 73, 74, 75
Challenge Questions: 70, 71, 77
E2: 2, 3, 4, 5, 8, 11, (17-22), 23, 24, 28, 29, 33, 35, 37, 39, 41, 43, 45, 47, 48, 49, 51, 57, 58, 59, 60, 61, 63, 65, 67, 68, 77, 78, 79
Challenge Questions: 72, 74, 81
Chapter 10.8
E1: 1, 3, 6, 7, 11, 14, 17, 19, 21, 25, 26, 30 31, 35, 46
Challenge Question: 10, 43, 50
E2: 1, 3, 8, 9, 13, 16, 19, 21, 25, 27, 28, 34, 35, 39, 50
Challenge Question: 12, 47, 54
Chapter 10.9
E1: 1, 3, 5, 7, 9, 11, 13, 15, 18, 25, 29, 30, 32
Challenge Question: 27
E2:1, 3, 5, 7, 9, 11, 13, 15, 18, 25, 31, 32, 34
Challenge Question: 29
Chapter 11.1
E1: 1, 3, 7, 9, 10, 13, 17, 20, 21, 22, 25, 29, 31, 34, 35, 41–46, 47, 51
Challenge Questions: 39, 53, 54
E2: 1, 3, 7, 9, 10, 13, 18, 19, 21, 22, 25, 29, 31, 34, 35, 41–46, 47, 51
Challenge Questions: 37, 55, 56
Chapter 11.2
E1: 2, 5, 7, 11, 19, 20, 21, 23, 25, 27
Challenge Questions: 15, 31, 32
E2: 2, 5, 7, 11, 19, 20, 21, 23, 25, 27
Challenge Questions: 15, 33, 34
Chapter 11.3
E1: 2, 3, 4, 6, 7-32, 37, 39, 43, 45, 47, 54, 55, 58, 66, 67, 71
Challenge Questions: 62, 70
E2: 2, 3, 4, 6, 7-34, 39, 41, 45, 47, 50, 56, 55, 62, 70, 75
Challenge Questions: 66, 74
Chapter 11.4
E1: 1-6, 13, 15, 17, 19, 23, 28, 32
E2: 1-6, 13, 17, 19, 21, 23, 28, 34
Chapter 11.5
E1: 5, 7, 8, 11, 17-28, 31, 33, 37
Challenge Questions: 41, 45
E2: 5, 7, 8, 11, 17-28, 31, 33, 37
Challenge Questions: 41, 45
Chapter 11.6
E1: 22, 23, 27, 28, 30, 31, 33, 37, 44
Challenge Questions: 41, 42, 43, 47
E2: 22, 23, 27, 28, 30, 31, 33, 39, 48
Challenge Questions: 42, 43, 47, 51
Chapter 11.7
E1: 2, 3, 5, 7, 9, 10, 11, 13, 23, 25, 27, 28, 29, 33, 35, 39, 42, 45, 46
Challenge Question: 48
E2: 2, 3, 5, 7, 9, 10, 11, 13, 23, 25, 27, 28, 29, 33, 35, 39, 42, 45, 46
Challenge Question: 48
Chapter 11.8
E1: 1, 3, 5, 7, 9, 13, 15, 17, 19, 27, 33
Challenge Question: 39
E2: 1, 3, 5, 7, 9, 13, 15, 19, 21, 23, 27, 37
Challenge Question: 43
Chapter 12.1
E1: 1, 3, 9, 10, 11-33 odd, 37,
Challenge Question: 40
E2: 1, 3, 9, 10, 11-33 odd, 39
Chapter 12.2
E1: 7-19 odd, 25, 31-41 odd, 45,
Challenge Questions: 23, 48, 49
E2: 7-23 odd, 29, 37-47 odd, 51,
Challenge Questions: 27, 54, 58
Chapter 12.3
E1: 7-19 odd, 23-26, 29
Challenge Question: 20
E2: 7-19 odd, 23-26, 29
Challenge Question: 20
Chapter 12.4
E1: 1. In problems 3-10, only find the mass of the lamina.
E2: 1. In problems 3-10, only find the mass of the lamina.
Chapter 12.5
E1: 7-16, 25-32, 45
Challenge Question: 47
E2: 7-16, 25-32, 49
Challenge Question: 51
Chapter 12.6
E1: 11-13, 15, 16, 17-22, 26-28
E2: 11-13, 15, 16, 17-22, 28-30
Chapter 12.7
E1: 9-14 (odd), 15-20, 21-26, 31, 32, 35, 36,
Challenge Questions: 37, 40
E2: 9-14 (odd), 15-20, 21-25, 28, 33, 34, 37, 38,
Challenge Questions: 41, 44
