Brief Applied Calculus 6th edition

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

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  • Chapter 1: Functions
    • 1.1: Real Numbers, Inequalities, and Lines (36)
    • 1.2: Exponents (44)
    • 1.3: Functions: Linear and Quadratic (42)
    • 1.4: Functions: Polynomial, Rational, and Exponential (38)
    • Review Exercises
    • Review Exercises

  • Chapter 2: Derivatives and Their Uses
    • 2.1: Limits and Continuity (36)
    • 2.2: Rates of Change, Slopes, and Derivatives (28)
    • 2.3: Some Differentiation Formulas (30)
    • 2.4: The Product and Quotient Rules (34)
    • 2.5: Higher-Order Derivatives (26)
    • 2.6: The Chain Rule and the Generalized Power Rule (38)
    • 2.7: Nondifferentiable Functions (10)
    • Review Exercises
    • Review Exercises

  • Chapter 3: Further Applications of Derivatives
    • 3.1: Graphing Using the First Derivative (35)
    • 3.2: Graphing Using the First and Second Derivatives (37)
    • 3.3: Optimization (30)
    • 3.4: Further Applications of Optimization (15)
    • 3.5: Optimizing Lot Size and Harvest Size (17)
    • 3.6: Implicit Differentiation and Related Rates (43)
    • Review Exercises
    • Review Exercises

  • Chapter 4: Exponential and Logarithmic Functions
    • 4.1: Exponential Functions (30)
    • 4.2: Logarithmic Functions (32)
    • 4.3: Differentiation of Logarithmic and Exponential Functions (51)
    • 4.4: Two Applications to Economics: Relative Rates and Elasticity of Demand (27)
    • Review Exercises
    • Review Exercises

  • Chapter 5: Integrations and Its Applications
    • 5.1: Antiderivatives and Indefinite Integrals (36)
    • 5.2: Integration Using Logarithmic and Exponential Functions (32)
    • 5.3: Definite Integrals and Areas (51)
    • 5.4: Further Applications of Definite Integrals: Average Value and Area Between Curves (45)
    • 5.5: Two Applications to Economics: Consumers' Surplus and Income Distribution (19)
    • 5.6: Integration by Substitution (40)
    • Review Exercises
    • Review Exercises

  • Chapter 6: Integration Techniques and Differential Equations
    • 6.1: Integration by Parts (39)
    • 6.2: Integration Using Tables (41)
    • 6.3: Improper Integrals (36)
    • 6.4: Numerical Integration (24)
    • 6.5: Differential Equations (37)
    • 6.6: Further Applications of Differential Equations: Three Models of Growth (30)
    • Review Exercises
    • Review Exercises

  • Chapter 7: Calculus of Several Variables
    • 7.1: Functions of Several Variables (24)
    • 7.2: Partial Derivatives (34)
    • 7.3: Optimizing Functions of Several Variables (26)
    • 7.4: Least Squares (23)
    • 7.5: Lagrange Multipliers and Constrained Optimization (26)
    • 7.6: Total Differentials and Approximate Changes (24)
    • 7.7: Multiple Integrals (31)
    • Review Exercises
    • Review Exercises


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Group Quantity Questions
Chapter 1: Functions
1.1 36 001.MI 001.MI.SA 003 005 007 009 011 013 015 017 019 021 023 025 027 029 031 033 035 037.MI 037.MI.SA 041.MI 041.MI.SA 043 045 047.MI 047.MI.SA 049 051.SBS 053 055 061 063 070 077 081
1.2 44 001 003 005 007 009 011 013.MI 013.MI.SA 015 017 019 021 023 025 027 029 031 033 035 039 041 043 045.MI 045.MI.SA 051 053 057 059.MI 059.MI.SA 061 065 071 075 077.MI 077.MI.SA 079 081 083 085 087 093 095 097 107
1.3 42 001 003 005 009 011 013 015 017 021 025.MI 025.MI.SA 027 029 031 033 035.MI 035.MI.SA 037 041 043.MI 043.MI.SA 045 047 049 051 053 057 061 063 065 067 071 073.MI 073.MI.SA 075 077 079 081 087 093 095 099
1.4 38 001 005 007 009 011.MI 011.MI.SA 015 017 019.MI 019.MI.SA 021 023 027 029 031 033 035 037 039 041 047 049 051.MI 051.MI.SA 055 057.MI 057.MI.SA 059 061 063 065 069 071 077 079 081 083 089
Chapter 2: Derivatives and Their Uses
2.1 36 003 005 009 011 013 015.MI 015.MI.SA 019 021 023.MI 023.MI.SA 025 027 029 031.MI 031.MI.SA 033 035 037 039 041 043 045 047 049 051 053 055 059 063 065 067.MI 067.MI.SA 069 081 083
2.2 28 001 002 005 007 009.MI 009.MI.SA 011 013 015 017.MI 017.MI.SA 019 021 023.MI 023.MI.SA 025 027 033 037 039.MI 039.MI.SA 043 045 047 049 055 057 059
2.3 30 003 005.MI 005.MI.SA 007 009 011 013 015 017 021.MI 021.MI.SA 025.MI 025.MI.SA 027 029 031 033 037.MI 037.MI.SA 041 047 049 053 055 057 059 061 063 065 069
2.4 34 003 005 007 009 011 015 017 019 021 023 025.MI 025.MI.SA 027 029.MI 029.MI.SA 031 035 037 041 043.MI 043.MI.SA 049 051 053 055.MI 055.MI.SA 059 061 065 067 073 075 079 081
2.5 26 001 003 005 007 009.MI 009.MI.SA 011 013 015 017 019 021 023 025.MI 025.MI.SA 027.MI 027.MI.SA 031 033 035 037 041.MI 041.MI.SA 043 047 049
2.6 38 001 003 005 007 009 011 013 015.MI 015.MI.SA 017 019 021 023 025 027 029 031 033.MI 033.MI.SA 035 037 039 041 043.MI 043.MI.SA 047 049 051 053 055 057 059 061 063.MI 063.MI.SA 067 071 075
2.7 10 001 003 005 007.MI 007.MI.SA 009 011 016 017 018
Chapter 3: Further Applications of Derivatives
3.1 35 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023 025 027 029 031 033 035 037 039.MI 039.MI.SA 041 043 045 047 051 057 059 065.MI 065.MI.SA 067 071 073 075
3.2 37 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023.MI 023.MI.SA 025 027 029.MI 029.MI.SA 031 033 035 037 039 041.MI 041.MI.SA 043 045 047 057 059 061 065 067 069 071 073 081
3.3 30 001 003 005 007.MI 007.MI.SA 009 011 013 015 017 019.MI 019.MI.SA 021 025 027 029 031 033 035.MI 035.MI.SA 037 039 041 043 045 047 049 051 055 061
3.4 15 001.MI 001.MI.SA 003 005 007.MI 007.MI.SA 009.MI 009.MI.SA 011 012 013 015 017 019 021
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 43 001 003 005 007 009 011 013 014 015 017.MI 017.MI.SA 019 021 023 025 027.MI 027.MI.SA 029 031 033 035 037 039 041 043 045.MI 045.MI.SA 047 049 051 053 055 057 059.MI 059.MI.SA 061 063 065 067 069 071 075 079
Chapter 4: Exponential and Logarithmic Functions
4.1 30 001 003 005 007 009 013.MI 013.MI.SA 015 016 019.MI 019.MI.SA 021 023 025 027.MI 027.MI.SA 030 031 033 035 037 039.MI 039.MI.SA 041 043 045 047 049 051 057
4.2 32 001 003.MI 003.MI.SA 005 007 009 011.MI 011.MI.SA 013 015 017.MI 017.MI.SA 019 021.MI 021.MI.SA 023 025 027.MI 027.MI.SA 029 031 033 035 037 039 041 043 045 047 049 051 053
4.3 51 001.MI 001.MI.SA 003 005 007 009 011.MI 011.MI.SA 013 015.MI 015.MI.SA 017 019 021 025 027 031.MI 031.MI.SA 033 037 039.MI 039.MI.SA 041 043 045.MI 045.MI.SA 047 049 051 053 055 057 059.MI 059.MI.SA 061 063 065 067 069 071 073 075 077 079 081 083 085 087 089 095 097
4.4 27 001 003 005 007 009.MI 009.MI.SA 011 013 015.MI 015.MI.SA 017 019 021.MI 021.MI.SA 023 025 027 029 031 033 035.MI 035.MI.SA 037 041 043 047 049
Chapter 5: Integrations and Its Applications
5.1 36 001 003 005 007.MI 007.MI.SA 009 011 013 015.MI 015.MI.SA 017.MI 017.MI.SA 019 021 023 025 027 029.MI 029.MI.SA 031 033 035 037.MI 037.MI.SA 039 041 043 045.MI 045.MI.SA 047 049 051 053 055 061 065
5.2 32 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023 025.MI 025.MI.SA 027 029 031 033.MI 033.MI.SA 035 037 039 041.MI 041.MI.SA 043 045 047 049 051 053 055
5.3 51 001 003 005.MI 005.MI.SA 007.MI 007.MI.SA 009 011 013 015 017 019 021 023 025 027 029.MI 029.MI.SA 031.MI 031.MI.SA 033 035 037 039 041 043 045 047.MI 047.MI.SA 051 053 055 059 061 065.MI 065.MI.SA 067 069 071 073 075 077 079.MI 079.MI.SA 081 083 085 087 093 095 099
5.4 45 001 003.MI 003.MI.SA 005.MI 005.MI.SA 007 009 011.MI 011.MI.SA 013 015.MI 015.MI.SA 017 019 021 023 025 027 029 031 033 035 037 039.MI 039.MI.SA 041 043 045.MI 045.MI.SA 047 049 051.MI 051.MI.SA 053 055 057 059 061 063.MI 063.MI.SA 065 067 077 081 083
5.5 19 001.MI 001.MI.SA 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023.MI 023.MI.SA 025 027 029 043
5.6 40 001 003 005 007.MI 007.MI.SA 013 015 017 019.MI 019.MI.SA 021 023 025 027.MI 027.MI.SA 029 031 033 035.MI 035.MI.SA 037 039 041 043.MI 043.MI.SA 045 049.MI 049.MI.SA 051 055 057 065.MI 065.MI.SA 067 069 071 073 075 079 083
Chapter 6: Integration Techniques and Differential Equations
6.1 39 001 005 007 009.MI 009.MI.SA 011 013 015 017.MI 017.MI.SA 019 021.MI 021.MI.SA 023 025 027 029 031 033.MI 033.MI.SA 035 037 041.MI 041.MI.SA 043.MI 043.MI.SA 045 047 049 051 053 055 057.MI 057.MI.SA 058 061 063 067 071
6.2 41 001 003 005 007.MI 007.MI.SA 009 011 013 015.MI 015.MI.SA 017 021.MI 021.MI.SA 023 025 027 029 031 033 035 037 039 041 043 045 047 050 051 053 055 057.MI 057.MI.SA 059 061 063 065 067.MI 067.MI.SA 071 075 077
6.3 36 001 003 005 007 009 011 013 015 017.MI 017.MI.SA 019 021 023 025.MI 025.MI.SA 027 029 031 033 035.MI 035.MI.SA 037.MI 037.MI.SA 039 043 045 047.MI 047.MI.SA 049 051 052 055 057 059 061 065
6.4 24 001.MI 001.MI.SA 003 005 007.MI 007.MI.SA 009 011 013 015 017 019 021.MI 021.MI.SA 023.MI 023.MI.SA 025 027 029 031 033 035 037 041
6.5 37 001 004 005 007 009 011 013 015 017 019 021 023 025.MI 025.MI.SA 027 029 031 033 035 037.MI 037.MI.SA 039 041 043 047 049 051 053.MI 053.MI.SA 055 057 059 061 065 069 073 077
6.6 30 001 003 005 007 009 011 013 015 017 019.MI 019.MI.SA 021 023 025 027 031 033 035 037 039 041 043 045.MI 045.MI.SA 047 049.MI 049.MI.SA 051 055 059
Chapter 7: Calculus of Several Variables
7.1 24 001 005 007 009.MI 009.MI.SA 011 013 015 017 019 021.MI 021.MI.SA 023 025 027.MI 027.MI.SA 029 031 033 035 037 041 047 049
7.2 34 001.MI 001.MI.SA 003 005 007 009.MI 009.MI.SA 011 013 015 017 019 021 023.MI 023.MI.SA 025 027 029 031 033.MI 033.MI.SA 035 037 039 041.MI 041.MI.SA 043 045 047 049 053 055 059 063
7.3 26 001 003 005.MI 005.MI.SA 007 009 011 013.MI 013.MI.SA 015 017 019 021.MI 021.MI.SA 023 025 027 029.MI 029.MI.SA 031 033 035 037 039 041 045
7.4 23 001.MI 001.MI.SA 003 005 007 009.MI 009.MI.SA 011 012 015 017 019 021.MI 021.MI.SA 023 025.MI 025.MI.SA 027 029 031 033 035 037
7.5 26 001.MI 001.MI.SA 003 005 007.MI 007.MI.SA 009 011 013 015 017 019 021 023.MI 023.MI.SA 025 027 029 034 035 037 039 041 043 045 049
7.6 24 001 003 006 008 009.MI 009.MI.SA 011 013 015 017 019.MI 019.MI.SA 021 023 025 027.MI 027.MI.SA 029 031 033 035 037 039 041
7.7 31 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023 025 027.MI 027.MI.SA 029 031 033 035 037.MI 037.MI.SA 039 041 043 045.MI 045.MI.SA 046 047 051 055
Total 1297