# Brief Applied Calculus 5th edition

Geoffrey C. Berresford and Andrew M. Rockett
Publisher: Cengage Learning

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• Chapter 1: Functions
• 1.1: Real Numbers, Inequalities, and Lines (26)
• 1.2: Exponents (30)
• 1.3: Functions: Linear and Quadratic (29)
• 1.4: Functions: Polynomial, Rational, and Exponential (29)

• Chapter 2: Derivatives and Their Uses
• 2.1: Limits and Continuity (29)
• 2.2: Rates of Change, Slopes, and Derivatives (21)
• 2.3: Some Differentiation Formulas (23)
• 2.4: The Product and Quotient Rules (23)
• 2.5: Higher-Order Derivatives (19)
• 2.6: The Chain Rule and the Generalized Power Rule (24)
• 2.7: Nondifferentiable Functions (6)

• Chapter 3: Further Applications of Derivatives
• 3.1: Graphing Using the First Derivative (23)
• 3.2: Graphing Using the First and Second Derivatives (24)
• 3.3: Optimization (18)
• 3.4: Further Applications of Optimization (12)
• 3.5: Optimizing Lot Size and Harvest Size (17)
• 3.6: Implicit Differentiation and Related Rates (34)

• Chapter 4: Exponential and Logarithmic Functions
• 4.1: Exponential Functions (21)
• 4.2: Logarithmic Functions (26)
• 4.3: Differentiation of Logarithmic and Exponential Functions (34)
• 4.4: Two Applications to Economics: Relative Rates and Elasticity of Demand (21)

• Chapter 5: Integration and Its Applications
• 5.1: Antiderivatives and Indefinite Integrals (25)
• 5.2: Integration Using Logarithmic and Exponential Functions (20)
• 5.3: Definite Integrals and Areas (36)
• 5.4: Further Applications of Definite Integrals: Average Value and Area Between Curves (38)
• 5.5: Two Applications to Economics: Consumers' Surplus and Income Distribution (13)
• 5.6: Integration by Substitution (31)

• Chapter 6: Integration Techniques
• 6.1: Integration by Parts (27)
• 6.2: Integration Using Tables (25)
• 6.3: Improper Integrals (23)
• 6.4: Numerical Integration (18)
• 6.5: Differential Equations (23)
• 6.6: Further Applications of Differential Equations: Three Models of Growth (21)

• Chapter 7: Calculus of Several Variables
• 7.1: Functions of Several Variables (15)
• 7.2: Partial Derivatives (23)
• 7.3: Optimizing Functions of Several Variables (18)
• 7.4: Least Squares (20)
• 7.5: Lagrange Multipliers and Constrained Optimization (19)
• 7.6: Total Differentials and Approximate Changes (15)
• 7.7: Multiple Integrals (21)

## Questions Available within WebAssign

Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

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Group Quantity Questions
Chapter 1: Functions
1.1 26 001.MI 001.MI.SA 003 005 007 011 013 015 019 021 027 033 035 037.MI 037.MI.SA 041.MI 041.MI.SA 047.MI 047.MI.SA 049 053 055 061 063 075 079
1.2 30 001 003 007 009 013.MI 013.MI.SA 015 021 023 031 041 043 045.MI 045.MI.SA 051 053 057 059.MI 059.MI.SA 065 071 077.MI 077.MI.SA 079 081 085 089 091 093 103
1.3 29 001 003 009 011 013 017 021 025.MI 025.MI.SA 029 031 035.MI 035.MI.SA 041 043.MI 043.MI.SA 053 057 061 063 067 071 073.MI 073.MI.SA 075 077 093 095 099
1.4 29 001 007 009 011.MI 011.MI.SA 015 019.MI 019.MI.SA 023 027 029 031 033 035 039 041 047 049 051.MI 051.MI.SA 057.MI 057.MI.SA 061 071 077 079 081 083 087
Chapter 2: Derivatives and Their Uses
2.1 29 003 005 009 013 015.MI 015.MI.SA 019 021 023.MI 023.MI.SA 027 029 031.MI 031.MI.SA 033 035 037 039 043 045 047 051 053 055 059 063 067.MI 067.MI.SA 081
2.2 21 001 005 007 009.MI 009.MI.SA 015 017.MI 017.MI.SA 019 021 023.MI 023.MI.SA 027 033 037 039.MI 039.MI.SA 047 049 055 057
2.3 23 003 005.MI 005.MI.SA 007 011 015 017 021.MI 021.MI.SA 025.MI 025.MI.SA 029 031 037.MI 037.MI.SA 041 045 051 053 057 059 063 067
2.4 23 003 005 011 015 021 025.MI 025.MI.SA 029.MI 029.MI.SA 031 035 043.MI 043.MI.SA 049 051 055.MI 055.MI.SA 059 061 065 067 075 077
2.5 19 001 003 009.MI 009.MI.SA 011 015 019 021 025.MI 025.MI.SA 027.MI 027.MI.SA 031 035 037 041.MI 041.MI.SA 047 049
2.6 24 001 003 005 009 013 015.MI 015.MI.SA 017 019 025 027 033.MI 033.MI.SA 037 043.MI 043.MI.SA 047 049 051 053 059.MI 059.MI.SA 067 071
2.7 6 001 003 007.MI 007.MI.SA 009 011
Chapter 3: Further Applications of Derivatives
3.1 23 001 003 005 009 011.MI 011.MI.SA 013 015 019 021 027 031 033 039.MI 039.MI.SA 043 051 059 065.MI 065.MI.SA 071 073 075
3.2 24 001 003 005 007 011.MI 011.MI.SA 015 019 023.MI 023.MI.SA 027 029.MI 029.MI.SA 031 037 041.MI 041.MI.SA 043 047 057 059 061 069 077
3.3 18 001 003 007.MI 007.MI.SA 009 011 013 015 017 019.MI 019.MI.SA 021 025 027 035.MI 035.MI.SA 055 061
3.4 12 001.MI 001.MI.SA 003 007.MI 007.MI.SA 009.MI 009.MI.SA 011 015 017 019 021
3.5 17 001.MI 001.MI.SA 003.MI 003.MI.SA 005 007.MI 007.MI.SA 009 011 013 015 017.MI 017.MI.SA 019 021 023 025
3.6 34 001 003 005 007 009 011 013 015 017.MI 017.MI.SA 019 021 023 025 027.MI 027.MI.SA 029 031 033 035 037 039 041.MI 041.MI.SA 043 045 047 049 051 053.MI 053.MI.SA 057 069 073
Chapter 4: Exponential and Logarithmic Functions
4.1 21 001 003 005 007 009 013.MI 013.MI.SA 015 019.MI 019.MI.SA 023 025 027.MI 027.MI.SA 033 035 037 039.MI 039.MI.SA 051 057
4.2 26 001 003.MI 003.MI.SA 005 007 011.MI 011.MI.SA 015 017.MI 017.MI.SA 019 021.MI 021.MI.SA 023 025 027.MI 027.MI.SA 029 031 033 037 039 043 047 051 053
4.3 34 001.MI 001.MI.SA 005 009 011.MI 011.MI.SA 015.MI 015.MI.SA 027 031.MI 031.MI.SA 037 039.MI 039.MI.SA 043 045.MI 045.MI.SA 047 049 051 053 055.MI 055.MI.SA 057 059 061 063 065 069 071 077 081 089 091
4.4 21 001 003 007 009.MI 009.MI.SA 013 015.MI 015.MI.SA 017 019 021.MI 021.MI.SA 027 029 031 035.MI 035.MI.SA 037 043 047 049
Chapter 5: Integration and Its Applications
5.1 25 003 005 007.MI 007.MI.SA 009 011 015.MI 015.MI.SA 017.MI 017.MI.SA 023 029.MI 029.MI.SA 031 035 037.MI 037.MI.SA 041 043 045.MI 045.MI.SA 049 055 061 065
5.2 20 001 003 007 011.MI 011.MI.SA 017 019 021 025.MI 025.MI.SA 027 029 033.MI 033.MI.SA 041.MI 041.MI.SA 043 045 047 053
5.3 36 001 005.MI 005.MI.SA 007.MI 007.MI.SA 011 015 017 019 021 023 025 029.MI 029.MI.SA 031.MI 031.MI.SA 033 037 041 043 047.MI 047.MI.SA 051 053 059 065.MI 065.MI.SA 067 071 073 075 077 079.MI 079.MI.SA 083 097
5.4 38 001 003.MI 003.MI.SA 005.MI 005.MI.SA 007 009 011.MI 011.MI.SA 013 015.MI 015.MI.SA 019 021 027 029 031 033 035 037 039.MI 039.MI.SA 041 043 045.MI 045.MI.SA 049 051.MI 051.MI.SA 055 061 063.MI 063.MI.SA 065 067 077 081 083
5.5 13 001.MI 001.MI.SA 005 009 011.MI 011.MI.SA 013 017 019 021 023.MI 023.MI.SA 043
5.6 31 001 003 007.MI 007.MI.SA 013 017 019.MI 019.MI.SA 025 027.MI 027.MI.SA 033 035.MI 035.MI.SA 037 043.MI 043.MI.SA 049.MI 049.MI.SA 051 055 057 065.MI 065.MI.SA 067 069 071 073 075 079 083
Chapter 6: Integration Techniques
6.1 27 001 007 009.MI 009.MI.SA 015 017.MI 017.MI.SA 021.MI 021.MI.SA 027 031 033.MI 033.MI.SA 037 041.MI 041.MI.SA 043.MI 043.MI.SA 047 049 051 053 055 057.MI 057.MI.SA 067 071
6.2 25 001 007.MI 007.MI.SA 011 015.MI 015.MI.SA 021.MI 021.MI.SA 027 031 033 039 045 047 050 053 057.MI 057.MI.SA 061 063 067.MI 067.MI.SA 071 075 077
6.3 23 001 005 009 015 017.MI 017.MI.SA 021 025.MI 025.MI.SA 029 035.MI 035.MI.SA 037.MI 037.MI.SA 043 047.MI 047.MI.SA 049 051 055 059 061 065
6.4 18 001.MI 001.MI.SA 007.MI 007.MI.SA 009 013 015 017 021.MI 021.MI.SA 023.MI 023.MI.SA 029 033 035 037 039 041
6.5 23 001 005 007 011 019 025.MI 025.MI.SA 031 035 037.MI 037.MI.SA 039 043 047 051 053.MI 053.MI.SA 057 059 065 069 073 077
6.6 21 001 003 005 009 013 017 019.MI 019.MI.SA 023 025 027 033 037 039 041 045.MI 045.MI.SA 049.MI 049.MI.SA 055 059
Chapter 7: Calculus of Several Variables
7.1 15 001 007 009.MI 009.MI.SA 011 017 021.MI 021.MI.SA 023 025 027.MI 027.MI.SA 033 043 045
7.2 23 001.MI 001.MI.SA 007 009.MI 009.MI.SA 013 017 021 023.MI 023.MI.SA 027 031 033.MI 033.MI.SA 037 041.MI 041.MI.SA 043 045 047 053 059 063
7.3 18 001 005.MI 005.MI.SA 011 013.MI 013.MI.SA 021.MI 021.MI.SA 025 027 029.MI 029.MI.SA 031 033 037 039 041 045
7.4 20 001.MI 001.MI.SA 003 007 009.MI 009.MI.SA 011 015 017 019 021.MI 021.MI.SA 025.MI 025.MI.SA 027 029 031 033 035 037
7.5 19 001.MI 001.MI.SA 007.MI 007.MI.SA 009 013 017 021 023.MI 023.MI.SA 025 027 031.MI 031.MI.SA 035 037 041 043 047
7.6 15 001 003 009.MI 009.MI.SA 017 019.MI 019.MI.SA 021 023 027.MI 027.MI.SA 029 033 039 041
7.7 21 001 005 007 011.MI 011.MI.SA 019 027.MI 027.MI.SA 029 031 033 035 037.MI 037.MI.SA 039 041 045.MI 045.MI.SA 047 051 055
Total 920