Suggested Problems

from the Textbook:

 

10.1 (Sequences)/ 5, 9, 11, 15, 17, 19, 22, 23, 25, 26, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 50, 52, 54, 55, 57, 59, 62, 63, 66, 67, 69, 71, 73, 74, 77, 79, 81, 83, 85, 87, 91, 93, 97, 98, 111, 113, 115, 117, 119, 122, 123

 

10.2 (Infinite Series)/ 1, 3, 5, 6, 7, 9, 10, 11, 13, 15, 17, 18, 19, 21, 25, 27, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 43, 45, 46, 47, 48, 49, 51, 53, 55, 56, 57, 59, 61, 63, 65, 66, 67, 68, 69, 70, 71, 73, 75, 77, 89, 90, 91

 

10.3 (The Integral Test))/ 1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 19, 20, 21, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 38, 41, 42, 49, 51

 

10.4 (Comparison Tests)/ 1, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 16, 17, 19, 21, 23, 24, 25, 27, 28, 29, 31, 33, 35, 36, 37, 39, 40, 41, 42, 43, 45, 47, 51, 52, 53, 54, 63, 65, 67

 

10.5 (The Ratio and Root Tests)/ 1, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 27, 28, 29, 30, 32, 33, 34, 35, 37, 39, 40, 41, 42, 43, 44, 47, 49, 51, 53, 55, 57, 58, 59, 60, 61

 

10.6 (Alternating Series, Absolute and Conditional Convergence)/ 1, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 19, 20, 22, 24, 25, 27, 30, 31, 32, 35, 37, 39, 40, 43, 44, 47, 48, 49, 51, 53, 55

 

10.7 (Power Series)/ 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 46, 47, 48

 

10.8 (Taylor and Maclaurin Series)/ 1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 16, 18, 21, 22, 23, 25, 27, 29, 30, 32, 35, 36

 

10.9 (Convergence of Taylor Series)/ 2, 4, 6, 7, 8, 9, 10, 12, 14, 16, 17, 19, 20, 21, 22, 24, 27, 28, 30, 32, 34, 36, 37

 

10.10 (The Binomial Series and Applications of Taylor Series)/ 3, 4, 5, 6, 7, 8, 10, 12, 14, 29, 31, 34, 35, 36, 38, 40

 

Chapter 10 (Practice Exercises)/ 2, 3, 7, 9, 11, 12, 14, 16, 18, 20, 21, 24, 27, 28, 30, 32, 34, 36, 38, 39, 40, 41, 43, 47, 48, 51, 53, 55, 57, 59, 60, 61, 64, 67, 69, 71, 73, 75, 81

 

10.1 (Sequences)/ 5, 9, 11, 15, 17, 19, 22, 23, 25, 26, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 50, 52, 54, 55, 57, 59, 62, 63, 66, 67, 69, 71, 73, 74, 77, 79, 81, 83, 85, 87, 91, 93, 97, 98, 111, 113, 115, 117, 119, 122, 123

 

10.2 (Infinite Series)/ 1, 3, 5, 6, 7, 9, 10, 11, 13, 15, 17, 18, 19, 21, 25, 27, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 43, 45, 46, 47, 48, 49, 51, 53, 55, 56, 57, 59, 61, 63, 65, 66, 67, 68, 69, 70, 71, 73, 75, 77, 89, 90, 91

 

10.3 (The Integral Test))/ 1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 19, 20, 21, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 38, 41, 42, 49, 51

 

10.4 (Comparison Tests)/ 1, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 16, 17, 19, 21, 23, 24, 25, 27, 28, 29, 31, 33, 35, 36, 37, 39, 40, 41, 42, 43, 45, 47, 51, 52, 53, 54, 63, 65, 67

 

10.5 (The Ratio and Root Tests)/ 1, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 27, 28, 29, 30, 32, 33, 34, 35, 37, 39, 40, 41, 42, 43, 44, 47, 49, 51, 53, 55, 57, 58, 59, 60, 61

 

10.6 (Alternating Series, Absolute and Conditional Convergence)/ 1, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 19, 20, 22, 24, 25, 27, 30, 31, 32, 35, 37, 39, 40, 43, 44, 47, 48, 49, 51, 53, 55

 

10.7 (Power Series)/ 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 46, 47, 48

 

10.8 (Taylor and Maclaurin Series)/ 1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 16, 18, 21, 22, 23, 25, 27, 29, 30, 32, 35, 36

 

10.9 (Convergence of Taylor Series)/ 2, 4, 6, 7, 8, 9, 10, 12, 14, 16, 17, 19, 20, 21, 22, 24, 27, 28, 30, 32, 34, 36, 37

 

10.10 (The Binomial Series and Applications of Taylor Series)/ 3, 4, 5, 6, 7, 8, 10, 12, 14, 29, 31, 34, 35, 36, 38, 40

 

Chapter 10 (Practice Exercises)/ 2, 3, 7, 9, 11, 12, 14, 16, 18, 20, 21, 24, 27, 28, 30, 32, 34, 36, 38, 39, 40, 41, 43, 47, 48, 51, 53, 55, 57, 59, 60, 61, 64, 67, 69, 71, 73, 75, 81

 

11.3 (Polar Coordinates)/ 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 18, 21, 22, 24, 25, 28, 31, 32, 34, 35, 36, 38, 40, 59, 60, 65

 

12.2 (Vectors)/ 5, 6, 7, 10, 11, 12, 13, 15, 19, 20, 21, 25, 27, 28, 30, 31, 33, 34, 37, 39

 

12.3 (The Dot Product)/ (only parts a.) and b.) of: 1, 3, 5, 7, 8), 13, 14,

 

12.4 (The Cross Product)/ 1, 3, 5, 6, 7, 8, 11, 13, 14, 15, 17, 23, 24

 

12.5 (Lines and Planes in Space)/ 1, 3, 5, 6, 7, 8, 10, 11, 12, 21, 22, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 46, 47, 55, 57, 59, 61

 

12.6 (Cylinders and Quadric Surfaces)/ 1, 3, 7, 9, 11, 15, 16, 19, 21, 22, 24, 25, 27, 31, 35, 39, 40, 41, 44

 

14.1 (Functions of Several Variables)/ 1, 2, 4, 5, 6, 7, 8, 11, 12

 

14.2 (Limits and Continuity in Higher Dimensions)/ 1, 3, 4, 5, 7, 9, 10, 12, 13, 15, 16, 17, 20, 21, 22, 23, 24, 25, 27, 29, 30, 31, 32, 33, 35, 37, 39, 40, 41, 43, 44, 46, 47, 48, 49, 50, 51, 61, 63, 64, 65, 66