Math013 Calculus I
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Practice Problems
Answers of odd problems are available in the textbook.
Week 1
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Appendix A. Numbers, inequalities and absolute values.
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odd problems: 5, 7, 9, 13, 19, 23, 29, 33, 37, 45, 51, 55, 61
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even problems: 6, 12, 28, 34, 36, 38, 42, 46, 68
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Appendix B. Line Equations.
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odd problems: 1, 3, 9, 15, 21, 25, 29, 33, 35, 37, 51, 59
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even problems: 56, 58
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1.1. Functions and their graphs.
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odd problems: 1, 3, 7, 9, 23, 25, 31, 33, 35, 43, 45, 55, 57, 59, 61, 65, 79
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even problems: 2, 8, 10, 22, 28, 34, 40, 50, 54, 62, 64, 66, 80
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1.2. Essential functions.
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odd problems: 1, 3, 9, 11, 15, 17, 23
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even problems: 4, 8, 12
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1.3. New functions from old manipulation.
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odd problems: 1, 3, 5, 13, 23, 29, 33, 35, 37, 39, 45, 51, 57
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even problems: 4, 16, 30, 32, 36, 50, 58, 60
Week 2
- 1.5. Exponential functions.
- odd problems: 3, 5, 7, 11, 15, 17, 21, 23, 25
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even problems: 10, 16, 24, 26
- Appendix D. Trigonometric functions and their inverses.
- odd problems: 1, 7, 13, 23, 25, 29, 55, 61, 65, 69, 79, 83, 85
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even problems: 2, 8, 16, 24, 26, 30, 32
- 1.6. Inverse functions.
- odd problems: 1, 3, 5, 7, 9, 15, 19, 23, 25, 29, 33, 37, 39, 49, 55, 63, 65, 67, 71, 75
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even problems: 2, 10, 12, 22, 26, 34, 40, 48, 54, 58
Week 3
- 2.1. Secant and tangent lines, velocity.
- odd problems: 1, 3, 5, 7, 9
- even problems: 2
- 2.2. Limits.
- odd problems: 5, 7, 9, 11, 15, 17, 19, 23, 25
- even problems: 10, 20, 32
- 2.3. Limits and limit laws.
- odd problems: 5, 7, 9, 11, 13, 15, 17, 21, 23, 35, 39, 41, 43, 45, 49, 57
- even problems: 2, 10, 18, 26, 36, 40, 46, 48
Week 4
- 2.5. Continuity.
- odd problems: 3, 9, 11, 17, 19, 21, 25, 35, 37, 41, 45, 49, 53, 63
- even problems: 38, 42, 46, 48, 54, 64, 66
- 2.6. Limits at infinity,horizontal asymptotes.
- odd problems: 3, 7, 15, 17, 19, 23, 25, 29, 39, 61
- even problems: 2, 4, 16, 26, 28, 36 , 62
- 2.7. Derivatives and rates of change.
- odd problems: 1, 5, 7, 9, 11, 15, 17, 21, 25, 29, 33, 43, 53
- even problems: 8, 12, 18, 46, 48, 54
Week 5
- 2.8. Derivative as a function.
- odd problems: 3, 13, 21, 25, 27, 35, 37, 43, 51, 57
- even problems: 4, 28, 42, 46
- 3.1. Derivatives of polynomials and exponential functions.
- odd problems: 1, 7, 9, 11,19, 23, 27, 35, 47, 51, 55, 57, 59, 67, 69
- even problems: 2, 24, 32, 44, 52, 60, 64, 70, 80
- 3.2. Product and quotient rules.
- odd problems: 1, 5, 11, 19, 23, 27, 43, 47
- even problems: 2, 16, 44, 52
- 3.3. Derivatives of trigonometric functions
- odd problems: 3, 11, 13, 31, 35, 37, 41, 45
- even problems: 30, 50, 54
Week 6
- 3.4. Chain rule.
- odd problems: 3, 5, 9, 23, 37, 45, 61, 63, 65, 75, 95
- even problems: 34, 44, 60, 74, 80, 82
- 3.5. Implicit differentiation.
- odd problems: 5, 11, 27, 29, 39, 41, 51, 59, 69, 71, 73, 75
- even problems: 4, 76, 80
- 3.6. Derivatives of logarithmic functions.
- odd problems: 9, 15, 21, 25, 41, 53
- even problems: 30, 42
Week 7
- 3.7. Rates of change.
- odd problems: 5, 9, 11, 15, 21, 31, 33
- even problems: 14, 28, 30, 34
- 3.8. Exponential growth and decay.
- odd problems: 3, 9, 13,17, 19
- even problems: 10, 16
- 3.9. Related rates.
- odd problems: 5, 13, 15, 33, 35, 41, 45
- even problems: 4, 22, 26, 40
Week 8
- 3.10. Linear approximations.
- odd problems: 3, 5, 23, 25, 35
- even problems: 4, 16, 34
- 4.8. Newton's Method.
- odd problems: 7, 11, 17, 29, 33
- even problems: 4, 32, 42
- 4.1. Maximum and minimum.
- odd problems: 3, 5, 11, 13, 27, 29, 37, 43, 57, 65, 69, 75
- even problems: 4, 6, 20, 30, 54
Week 9
- 4.2. Mean Value Theorem.
- odd problems: 3, 7, 11, 17, 25, 27, 29, 33
- even problems: 2, 16, 22, 32, 34
- 4.3. Derivatives and the shape of a graph.
- odd problems: 1, 7, 11, 25, 31, 39, 49, 67
- even problems: 2, 8, 26, 50, 61, 64
- 4.4. L'Hopital's rule.
- odd problems: 11, 13, 21, 25, 43, 53, 55, 69, 73, 77, 85, 89
- even problems: 48, 78, 82, 88
Week 10
- 4.5. Curve sketching.
- odd problems: 5, 11, 13, 15, 25, 37, 57
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even problems:12, 22, 44, 54
- 4.6. More on graphing.
- odd problems: 3, 11, 13, 33
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even problems:12
- 4.7. Optimization problems.
- odd problems: 5, 9, 13, 19, 31, 43, 63, 67, 71, 73
- even problems: 12, 24, 46, 62
Week 11
- 4.9. Antiderivatives.
- odd problems: 3, 5, 7, 9, 25, 37, 39, 49, 51, 53, 67, 77
- even problems: 12, 32, 38, 44, 62, 72
- 5.1. Areas and distances.
- odd problems: 1, 3, 13, 15, 17, 21
- even problems: 2, 18, 22
Week 12
- 5.2 The definite integral.
- odd problems: 1, 3, 5, 9, 15, 17, 19, 25, 33, 37, 50, 71
- even problems: 2, 18, 34, 52, 66
- 5.3. The Fundamental Theorem of Calculus.
- odd problems: 3, 9, 15, 27, 31, 39, 41, 55, 65, 69, 77
- even problems: 2, 10, 12, 24, 48, 58, 66, 70
Week 13
- 5.4. Indefinite integrals and net change.
- odd problems: 1, 3, 7, 21, 23, 27, 35, 53, 57, 59, 61
- even problems: 26, 32, 54, 58, 62
- 5.5. the substitution rule.
- odd problems: 3, 5, 7, 13, 17, 23, 39, 57, 59, 69, 73, 79, 87, 91
- even problems: 60, 68, 82, 86, 90