# Applied Calculus 4th edition

Stefan Waner and Steven Costenoble
Publisher: Cengage Learning

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• Chapter 0: Algebra Review
• 0.1: Real Numbers
• 0.3: Multiplying and Factoring Algebraic Equations
• 0.4: Rational Expressions
• 0.5: Solving Polynomial Equations
• 0.6: Solving Miscellaneous Equations

• Chapter 1: Functions and Linear Models
• 1.1: Functions from the Numerical and Algebraic Viewpoints (33)
• 1.2: Functions from the Graphical Viewpoint (28)
• 1.3: Linear Functions (45)
• 1.4: Linear Models (34)
• 1.5: Linear Regression (26)

• Chapter 2: Nonlinear Models
• 2.1: Quadratic Functions and Models (25)
• 2.2: Exponential Functions and Models (31)
• 2.3: Logarithmic Functions and Models (29)
• 2.4: Logistic Functions and Models (28)

• Chapter 3: Introduction to the Derivative
• 3.1: Limits: Numerical and Graphical Approaches (30)
• 3.2: Limits and Continuity (30)
• 3.3: Limits: Algebraic Approach (30)
• 3.4: Average Rate of Change (30)
• 3.5: Derivatives: Numerical and Graphical Viewpoints (27)
• 3.6: Derivatives: Algebraic Viewpoint (30)
• 3.7: Derivatives of Powers, Sums, and Constant Multiples (28)
• 3.8: A First Application: Marginal Analysis (28)

• Chapter 4: Techniques of Differentiation
• 4.1: The Product and Quotient Rules (30)
• 4.2: The Chain Rule (30)
• 4.3: Derivatives of Logarithmic and Exponential Functions (30)
• 4.4.: Implicit Differentiation (optional) (30)

• Chapter 5: Applications of the Derivative
• 5.1: Maxima and Minima (30)
• 5.2: Applications of Maxima and Minima (30)
• 5.3: The Second Derivative and Analyzing Graphs (31)
• 5.4: Related Rates (30)
• 5.5: Elasticity (26)

• Chapter 6: The Integral
• 6.1: The Indefinite Integral (30)
• 6.2: Substitution (30)
• 6.3: The Definite Integral: Numerical and Graphical Approaches (30)
• 6.4: The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus (31)

• Chapter 7: Further Integration Techniques and Applications of the Integral
• 7.1: Integration by Parts (30)
• 7.2: Area Between Two Curves and Applications (30)
• 7.3: Averages and Moving Averages (30)
• 7.4: Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Steams (30)
• 7.5: Improper Integrals and Applications (30)
• 7.6: Differential Equations and Applications (30)

• Chapter 8: Functions of Several Variables
• 8.1: Functions of Several Variables from the Numerical and Algebraic Viewpoints (30)
• 8.2: Three Dimensional Space and the Graph of a Function of Two Variables (30)
• 8.3: Partial Derivatives (30)
• 8.4: Maxima and Minima (30)
• 8.5: Constrained Maxima and Minima and Applications (30)
• 8.6: Double Integrals and Applications (30)

• Chapter 9: Trigonometric Models
• 9.1: Trigonometric Functions, Models, and Regression (24)
• 9.2: Derivatives of Trigonometric Functions and Applications (30)
• 9.3: Integrals of Trigonometric Functions and Applications (29)

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Group Quantity Questions
Chapter 1: Functions and Linear Models
1.1 33 001 002 003 004 005 006 007 008 009 010 011 012 013 014 016 018 019 021 023 024 025 028 029 030 031 032 033 035 036 037 038 039 041
1.2 28 001 002 003 004 005 006 007 008 009 010 011 013 014 015 016 017 018 019 020 021 022 023 024 027 028 029 032 040
1.3 45 001 002 003 004 006 007 008 009 010 011 013 015 017 019 022 024 025 027 028 030 031 032 033 035 036 038 039 043 045 047 048 051 053 055 057 058 059 060 061 063 064 068 069 070 074
1.4 34 001 002 003 005 006 008 009 010 011 012 013 015 016 017 018 019 020 021 022 023 024 025 026 027 031 033 035 036 037 039 043 045 047 048
1.5 26 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026
Chapter 2: Nonlinear Models
2.1 25 003 006 008 009 011 012 014 016 017 019 020 021 022 024 025 026 027 028 029 030 031 032 033 034 035
2.2 31 001 004 005 008 012 015 016 019 020 021 025 027 029 033 036 037 039 045 047 050 058 062 064 065 069 071 073 082 087 091 094
2.3 29 002 004 005 011 015 018 019 020 024 025 027 028 031 033 035 039 040 041 042 046 049 051 052 053 059 060 065 066 068
2.4 28 001 002 003 004 005 007 008 009 011 012 013 014 017 018 019 020 021 023 024 025 026 027 028 030 031 032 033 034
Chapter 3: Introduction to the Derivative
3.1 30 002 004 005 006 007 008 009 010 012 013 015 016 017 018 019 021 023 024 025 026 028 029 032 033 034 035 036 038 039 040
3.2 30 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030
3.3 30 002 003 005 006 007 008 010 013 015 017 018 020 023 025 026 028 030 034 036 037 041 042 044 046 048 049 052 053 055 057
3.4 30 002 003 005 006 008 009 010 011 013 014 016 018 019 021 024 025 026 027 028 030 031 034 035 037 038 040 041 044 045 046
3.5 27 003 006 007 010 011 013 016 018 020 021 024 029 031 035 038 041 044 052 053 056 058 063 065 068 073 076 080
3.6 30 002 004 005 006 008 009 011 013 014 016 018 021 023 025 028 029 031 032 034 035 036 037 039 042 043 046 047 048 050 051
3.7 28 002 007 009 011 014 016 020 027 028 033 035 037 040 043 044 054 060 061 066 070 076 079 082 087 090 097 103 105
3.8 28 003 004 005 007 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032
Chapter 4: Techniques of Differentiation
4.1 30 002 006 007 012 015 018 020 021 022 026 027 029 032 033 036 038 040 042 047 050 053 058 059 066 071 073 075 077 082 085
4.2 30 002 006 007 012 015 018 020 021 022 026 027 029 032 033 036 038 040 042 044 047 050 051 054 057 058 059 066 071 073 075
4.3 30 002 006 007 012 018 020 022 029 032 033 036 038 044 047 050 051 054 057 058 059 066 071 077 080 084 089 092 100 105 107
4.4 30 005 007 010 012 015 018 019 021 024 028 030 031 033 034 036 038 040 043 045 046 048 050 054 055 056 057 058 059 060 061
Chapter 5: Applications of the Derivative
5.1 30 002 003 005 006 008 010 011 012 013 015 016 017 019 020 022 023 024 025 026 029 031 033 034 038 040 043 046 052 055 056
5.2 30 001 002 004 006 007 009 010 011 013 014 016 018 019 020 021 024 025 026 031 032 034 036 037 039 040 045 051 054 058 067
5.3 31 002 005 009 012 015 018 020 023 026 027 028 031 033 035 037 039 041 044 046 048 051 054 056 061 063 067 069 070 072 076 080
5.4 30 AE02 002 003 004 007 008 009 010 011 012 013 014 015 018 019 021 022 024 025 026 027 028 029 030 033 035 036 037 038 039 040
5.5 26 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026
Chapter 6: The Integral
6.1 30 002 006 007 008 010 011 013 014 015 017 018 019 021 023 024 026 028 030 033 038 040 041 044 046 049 053 055 059 064 067
6.2 30 003 004 008 010 011 013 017 020 023 026 029 030 033 036 039 041 044 046 049 052 054 057 061 063 064 068 074 075 076 077
6.3 30 002 005 006 009 010 011 012 015 017 022 023 027 028 030 031 034 035 038 039 042 043 044 046 047 050 053 054 056 058 062
6.4 31 001 003 004 007 008 010 012 014 015 017 020 023 024 025 027 030 033 035 036 039 040 041 042 044 046 049 052 057 063 069 072
Chapter 7: Further Integration Techniques and Applications of the Integral
7.1 30 002 003 005 006 008 010 011 012 013 015 016 017 019 020 022 023 024 025 026 029 031 033 034 038 040 041 043 045 048 050
7.2 30 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030
7.3 30 002 003 005 006 008 009 010 011 012 013 016 017 018 020 021 023 024 025 026 027 028 029 030 031 032 033 035 036 038 041
7.4 30 001 002 004 005 007 009 012 014 015 018 020 021 023 025 027 030 032 035 036 037 038 042 044 045 047 048 051 053 055 056
7.5 30 002 003 004 005 007 009 011 014 015 018 020 021 023 026 027 028 029 030 032 035 036 037 038 041 042 044 045 047 048 050
7.6 30 001 002 003 004 005 007 008 009 010 011 012 013 014 015 016 018 019 020 023 024 025 026 027 028 029 030 031 032 033 034
Chapter 8: Functions of Several Variables
8.1 30 002 004 006 007 008 010 012 014 017 020 021 025 026 028 029 031 034 036 037 039 042 046 047 051 052 054 058 059 061 064
8.2 30 001 004 005 008 009 011 012 015 018 019 022 023 026 027 028 029 032 034 035 038 039 041 043 044 045 047 048 050 052 053
8.3 30 002 003 005 007 010 013 017 020 023 026 029 032 033 034 035 037 040 043 046 049 051 054 056 057 060 061 062 064 065 066
8.4 30 001 002 003 004 006 011 012 013 014 015 016 017 018 019 020 021 022 023 025 026 027 029 030 031 033 034 035 037 039 040
8.5 30 002 003 004 005 007 008 009 010 012 013 014 015 016 017 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 036
8.6 30 001 004 007 008 010 013 015 018 019 021 024 025 026 028 029 033 035 037 038 039 040 041 042 043 044 045 046 047 048 049
Chapter 9: Trigonometric Models
9.1 24 014 015 017 018 020 022 023 024 026 028 029 031 033 035 039 042 045 047 050 053 054 056 058 060
9.2 30 002 003 005 006 008 011 012 015 016 017 020 021 026 027 030 031 032 034 036 040 041 043 048 051 054 057 058 060 061 062
9.3 29 003 004 006 007 009 010 013 015 016 018 021 022 026 027 030 033 035 038 040 043 046 049 054 057 060 061 062 065 068
Total 1343 (1)