Introduction |
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ix | |
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1 | (2) |
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3 | (2) |
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5 | (4) |
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9 | (2) |
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Chapter 5 Functions and Their Graphs |
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11 | (4) |
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15 | (4) |
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19 | (4) |
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23 | (2) |
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25 | (2) |
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Chapter 10 Trigonometric Functions and Their Derivatives |
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27 | (2) |
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Chapter 11 Rolle's Theorem, the Mean Value Theorem, and the Sign of the Derivative |
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29 | (2) |
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Chapter 12 Higher-Order Derivatives and Implicit Differentiation |
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31 | (2) |
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Chapter 13 Maxima and Minima |
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33 | (2) |
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35 | (2) |
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Chapter 15 Curve Sketching (Graphs) |
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37 | (2) |
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Chapter 16 Applied Maximum and Minimum Problems |
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39 | (4) |
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Chapter 17 Rectilinear Motion |
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43 | (2) |
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Chapter 18 Approximation by Differentials |
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45 | (2) |
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Chapter 19 Antiderivatives (Indefinite Integrals) |
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47 | (2) |
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Chapter 20 The Definite Integral and the Fundamental Theorem of Calculus |
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49 | (4) |
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Chapter 21 Area and Arc Length |
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53 | (2) |
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55 | (4) |
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Chapter 23 The Natural Logarithm |
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59 | (2) |
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Chapter 24 Exponential Functions |
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61 | (2) |
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Chapter 25 L'Hopital's Rule |
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63 | (2) |
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Chapter 26 Exponential Growth and Decay |
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65 | (2) |
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Chapter 27 Inverse Trigonometric Functions |
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67 | (2) |
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Chapter 28 Integration by Parts |
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69 | (2) |
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Chapter 29 Trigonometric Integrands and Substitutions |
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71 | (2) |
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Chapter 30 Integration of Rational Functions: The Method of Partial Fractions |
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73 | (2) |
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Chapter 31 Integrals for Surface Area, Work, Centroids |
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75 | (2) |
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Chapter 32 Improper Integrals |
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77 | (2) |
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Chapter 33 Planar Vectors |
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79 | (2) |
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Chapter 34 Parametric Equations, Vector Functions, Curvilinear Motion |
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81 | (2) |
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Chapter 35 Polar Coordinates |
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83 | (2) |
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Chapter 36 Infinite Sequences |
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85 | (2) |
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Chapter 37 Infinite Series |
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87 | (4) |
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91 | (4) |
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Chapter 39 Taylor and Maclaurin Series |
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95 | (2) |
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Chapter 40 Vectors in Space; Lines and Planes |
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97 | (4) |
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Chapter 41 Functions of Several Variables |
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101 | (2) |
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Chapter 42 Partial Derivatives |
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103 | (4) |
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Chapter 43 Directional Derivatives and the Gradient; Extreme Values |
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107 | (2) |
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Chapter 44 Multiple Integrals and Their Applications |
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109 | (2) |
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Chapter 45 Vector Functions in Space; Divergence and Curl; Line Integrals |
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111 | (4) |
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Answers |
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