Math 163B Suggested Exercises for Spring 2009 Section Title Suggested Exercises 6-1 Antiderivatives and Indefinite Integrals # 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 27, 29, 31, 43, 45, 49, 51, 53, 55, 61, 63, 67, 73, 75, 81, 89, 109, 111 6-2 Integration by Substitution # 5, 7, 9, 11, 15, 17, 19, 21, 23, 25, 35, 37, 55, 56, 58, 73, 75 6-3 Differential Equations; Growth and Decay # 1, 3, 5, 7, 8, 9, 10, 11, 19, 21, 23, 25, 29, 31, 39, 40, 53, 55, 59, 64, 65, 67, 71, 72 6-4 The Definite Integral # 1, 3, 5, 7, 9, 17, 19, 21, 23, 25, 27, 29, 31, 35, 37, 39, 59 6-5 The Fundamental Theorem of Calculus # 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29, 31, 35, 37, 41, 43, 47, 61, 63, 67, 69, 81, 83, 84 7-1 Area between Curves # 1, 3, 7, 11, 15, 19, 21, 25, 27, 29, 31, 41, 47, 51, 53, 61, 63, 81 7-2 Applications in Business and Economics # 1, 3, 5, 7, 9, 13, 17, 19, 21, 23, 25, 27, 29, 31, 35, 37, 39, 41 7-3 Integration by Parts # 1, 3, 7, 9, 11, 13, 15, 17, 19, 21, 29, 33, 37, 39, 43, 47, 49, 59 8-1 Functions of Several Variables # 1, 5, 9, 11, 13, 17, 21, 22, 23, 25, 27, 31, 39, 40, 43, 45, 47, 49, 51, 53 8-2 Partial Derivatives # 1, 3, 5, 9, 11, 13, 17, 19, 25, 27, 29, 31, 34, 75, 81, 91, 93, 97 8-3 Maxima and Minima # 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 29, 35, 37 8-4 Maxima and Minima Using Lagrange Multipliers # 1, 3, 5, 7, 9, 23, 25, 27, 28, 29