# Math Applications 9th edition

Ronald J. Harshbarger and James J. Reynolds
Publisher: Cengage Learning

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• Chapter 0:Algebraic Concepts
• 0.1: Sets (18)
• 0.2: The Real Numbers (16)
• 0.3: Integral Exponents (16)
• 0.4: Radicals and Rational Exponents (19)
• 0.5: Operations with Algebraic Expressions (18)
• 0.6: Factoring (17)
• 0.7: Algebraic Fractions (17)

• Chapter 1:Linear Equations and Functions
• 1.1: Solutions of Linear Equations and Inequalities in One Variable (19)
• 1.2: Functions (17)
• 1.3: Linear Functions (24)
• 1.4: Graphs and Graphing Utilities (13)
• 1.5: Solutions of Systems of Linear Equations (30)
• 1.6: Applications of Functions in Business and Economics (23)

• Chapter 2:Quadratic and Other Special Functions
• 2.1: Quadratic Equations (29)
• 2.2: Quadratic Functions: Parabolas (16)
• 2.3: Business Applications of Quadratic Functions (18)
• 2.4: Special Functions and Graphs (15)
• 2.5: Modeling: Fitting Curves to Data (12)

• Chapter 3:Matrices
• 3.1: Matricies (15)
• 3.2: Multiplication of Matrices (23)
• 3.3: Solving Systems of Equations with Matrices (17)
• 3.4: Inverse of a Square Matrix; Matrix Equations (17)
• 3.5: Applications of Matricies: Leontief Input-Output Models (15)

• Chapter 4:Inequalities and Linear Programming
• 4.1: Linear Inequalities in Two Variables (16)
• 4.2: Linear Programming: Graphical Methods (18)
• 4.3: The Simplex Method: Maximization (17)
• 4.4: The Simplex Method: Duality and Minimization (17)
• 4.5: The Simplex Method with Mixed Constraints (17)

• Chapter 5:Exponential and Logarithmic Functions
• 5.1: Exponential Functions (14)
• 5.2: Logarithmic Functions (22)
• 5.3: Exponential Equations (20)

• Chapter 6:Mathematics of Finance
• 6.1: Simple Interest; Sequences (18)
• 6.2: Compoint Interest; Geometric Sequences (17)
• 6.3: Future Values of Annuities (18)
• 6.4: Present Values of Annuities (14)
• 6.5: Loans and Amortization (16)

• Chapter 7:Introduction to Probability
• 7.1: Probability; Odds (21)
• 7.2: Unions and Intersections of Events: One -Trial Experiments (19)
• 7.3: Conditional Probability: The Product Rule (19)
• 7.4: Probability Trees and Bayes' Formula (15)
• 7.5: Counting: Permutations and Combinations (17)
• 7.6: Permutations, Combinations, and probability (17)
• 7.7: Markov Chains (18)

• Chapter 8:Further Topics in Probability; Data Description
• 8.1: Binomial Probability Experiments (19)
• 8.2: Data Description (17)
• 8.3: Discrete Probability Distributions (19)
• 8.4: normal Probability Distribution (17)
• 8.5: The Normal Curve Approximation to the Binomial Distribution (17)

• Chapter 9:Derivatives
• 9.1: Limits (20)
• 9.2: Continous Functions; Limits at Infinity (16)
• 9.3: Average and instantaneous Rates of Change: The Derivative (17)
• 9.4: Derivative Formulas (26)
• 9.5: The Product Rule and the Quotient Rule (21)
• 9.6: The Chain Rule and the Power Rule (26)
• 9.7: Using Derivative Formulas (20)
• 9.8: Higher-Order Derivatives (20)
• 9.9: Applications of Derivatives in Business and Economics (16)

• Chapter 10:Applications of Derivatives
• 10.1: Relative Maxima and Minima: Curve Sketching (17)
• 10.2: Concavity: Points of Inflection (17)
• 10.3: Optimization in Business and Economics (17)
• 10.4: Applications of Maxima and Minima (14)
• 10.5: Rational Functions: More Curve Sketching (16)

• Chapter 11:Derivatives Continued
• 11.1: Derivatives of Logarithmic Functions (16)
• 11.2: Derivatives of Exponential Functions (18)
• 11.3: Implicit Differentiation (18)
• 11.4: Related rates (14)
• 11.5: Applications in Business and Economics (11)

• Chapter 12:Indefinate Integrals
• 12.1: The Indefinite integral (18)
• 12.2: The Power Rule (15)
• 12.3: Integrals Involving Exponential and Logarithmic Functions (17)
• 12.4: Applications of the Indefinite Integral in Business and Economics (16)
• 12.5: Differential Equations (19)

• Chapter 13:Definite
• 13.1: Area Under a Curve (16)
• 13.2: The Definite Integral: The Fundamental Theorem of Calculus (22)
• 13.3: Area Between Two Curves (18)
• 13.4: Applications of Definite Integrals in Business and Economics (17)
• 13.5: Using Tables of Integrals (19)
• 13.6: Integration by Parts (18)
• 13.7: Improper Integrals and Their Applications (19)
• 13.8: Numerical Integration Methods: The Trapezoidal Rule and Simpson's Rule (17)

• Chapter 14:Functions of Two or More Variables
• 14.1: Functions of Two or More Variables (17)
• 14.2: Partial Differentiations (17)
• 14.3: Applications of Functions of Two Variables in Business and Economics (14)
• 14.4: Mazima and Minima (18)
• 14.5: Maxima and Minima of Functions Subject to Constraints: Language Multipliers (14)

## 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.

##### Question Group Key
MI - Master It
MI.SA. - Master It Stand Alone

##### Question Availability Color Key
BLACK questions are available now
GRAY questions are under development

Group Quantity Questions
Chapter 0:Algebraic Concepts
0.1 18 003 006 008 012 014 016 021 028 037.MI 037.MI.SA 047.MI 047.MI.SA 049 050 051 053 054 056
0.2 16 001 003 004 011 014.MI 014.MI.SA 020.MI 020.MI.SA 027 032 035.MI 035.MI.SA 049 050 051 053
0.3 16 001 005 014.MI 014.MI.SA 019 026 030.MI 030.MI.SA 040.MI 040.MI.SA 046 059 063 065 066 069
0.4 19 002 006.MI 006.MI.SA 015 018 019.MI 019.MI.SA 033 039.MI 039.MI.SA 046 047 051 065 066 068 071 074 075
0.5 18 002 007 012 013.MI 013.MI.SA 020 023 038 045.MI 045.MI.SA 047 059.MI 059.MI.SA 068 069 070 071 072
0.6 17 001 007.MI 007.MI.SA 009 014 018 019.MI 019.MI.SA 028 040 054.MI 054.MI.SA 060 062 063 064 065
0.7 17 001 005 011 019.MI 019.MI.SA 025 028 035 037.MI 037.MI.SA 047 051.MI 051.MI.SA 053 056 057 060
Chapter 1:Linear Equations and Functions
1.1 19 005.MI 005.MI.SA 008 012 014.MI 014.MI.SA 019 027 029.MI 029.MI.SA 036 041 043 045 047.MI 047.MI.SA 052 058 064
1.2 17 001 010 015 020 025.MI 025.MI.SA 029 033.MI 033.MI.SA 037.MI 037.MI.SA 044 048 051 052 054 056
1.3 24 001 007.MI 007.MI.SA 017.MI 017.MI.SA 023 025.MI 025.MI.SA 029.MI 029.MI.SA 031.MI 031.MI.SA 037.MI 037.MI.SA 041.MI 041.MI.SA 045.MI 045.MI.SA 049.MI 049.MI.SA 059.MI 059.MI.SA 064 065
1.4 13 007 017.MI 017.MI.SA 031 035.MI 035.MI.SA 039 041 043 044 045 047 052
1.5 30 001 005.MI 005.MI.SA 009.MI 009.MI.SA 013.MI 013.MI.SA 017.MI 017.MI.SA 020.MI 020.MI.SA 023 027.MI 027.MI.SA 031 032 033 035.MI 035.MI.SA 037.MI 037.MI.SA 040.MI 040.MI.SA 043.MI 043.MI.SA 044.MI 044.MI.SA 048.MI 048.MI.SA 051
1.6 23 001.MI 001.MI.SA 004.MI 004.MI.SA 008 011.MI 011.MI.SA 014 017.MI 017.MI.SA 019 023 026 031 036.MI 036.MI.SA 040 044.MI 044.MI.SA 050.MI 050.MI.SA 058.MI 058.MI.SA
Chapter 2:Quadratic and Other Special Functions
2.1 29 001.MI 001.MI.SA 005.MI 005.MI.SA 011.MI 011.MI.SA 015.MI 015.MI.SA 023.MI 023.MI.SA 027.MI 027.MI.SA 037.MI 037.MI.SA 041.MI 041.MI.SA 043.MI 043.MI.SA 047.MI 047.MI.SA 048.MI 048.MI.SA 051.MI 051.MI.SA 054.MI 054.MI.SA 058 060.MI 060.MI.SA
2.2 16 001 006 007.MI 007.MI.SA 012 017 021.MI 021.MI.SA 025 029 031 033 037.MI 037.MI.SA 044 048
2.3 18 001 005 007 009 012.MI 012.MI.SA 015 018.MI 018.MI.SA 020 023 024 026.MI 026.MI.SA 028 031 032 034
2.4 15 002 011 013 021 027.MI 027.MI.SA 029 031 034.MI 034.MI.SA 042 045 047 050 051
2.5 12 001 005 009.MI 009.MI.SA 011.MI 011.MI.SA 016 021 025 027 032 036
Chapter 3:Matrices
3.1 15 001 002 008 013 017 021 027 031 034 037 038 040 042 045 049
3.2 23 001.MI 001.MI.SA 011.MI 011.MI.SA 013.MI 013.MI.SA 017.MI 017.MI.SA 023.MI 023.MI.SA 044.MI 044.MI.SA 045 046 047.MI 047.MI.SA 048.MI 048.MI.SA 049.MI 049.MI.SA 051.MI 051.MI.SA 053
3.3 17 003 009.MI 009.MI.SA 013 017 020 025.MI 025.MI.SA 030 051 053 055 057.MI 057.MI.SA 061 065 068
3.4 17 005 007 011 015.MI 015.MI.SA 020 029.MI 029.MI.SA 035 039 043 051 052 053 056.MI 056.MI.SA 061
3.5 15 001 003.MI 003.MI.SA 006 011.MI 011.MI.SA 018 021 023 026.MI 026.MI.SA 033 038 040 042
Chapter 4:Inequalities and Linear Programming
4.1 16 001.MI 001.MI.SA 005 006 013.MI 013.MI.SA 017 018 024 027 029.MI 029.MI.SA 031 032 034 036
4.2 18 001.MI 001.MI.SA 003 007 011 015.MI 015.MI.SA 019 024 027 029.MI 029.MI.SA 031 033 035 040 043 046
4.3 17 003.MI 003.MI.SA 011 019 025.MI 025.MI.SA 030 036 041 045.MI 045.MI.SA 048 051 054 056.MI 056.MI.SA 058 062
4.4 17 001.MI 001.MI.SA 004 005 007.MI 007.MI.SA 011 015 017 021 023.MI 023.MI.SA 025 028 029 032 034
4.5 17 005.MI 005.MI.SA 007 010 011.MI 011.MI.SA 018 019 020 027.MI 027.MI.SA 029 030 032 035 037 038
Chapter 5:Exponential and Logarithmic Functions
5.1 14 002 004 005.MI 005.MI.SA 014 022 029.MI 029.MI.SA 044 045 047.MI 047.MI.SA 048 049
5.2 22 001 002 003 004 005.MI 005.MI.SA 011 017 027 031.MI 031.MI.SA 033 037 047.MI 047.MI.SA 055 059 063.MI 063.MI.SA 067 073 074
5.3 20 001.MI 001.MI.SA 003 009 011 019.MI 019.MI.SA 023 025.MI 025.MI.SA 027 031 035 037.MI 037.MI.SA 039 041 053 056.MI 056.MI.SA
Chapter 6:Mathematics of Finance
6.1 18 006 007 013.MI 013.MI.SA 017 020.MI 020.MI.SA 025 029 032 035 042.MI 042.MI.SA 048 050.MI 050.MI.SA 052 056
6.2 17 009 010 012.MI 012.MI.SA 015 018.MI 018.MI.SA 036 041.MI 041.MI.SA 048 053 059 063 069.MI 069.MI.SA 073
6.3 18 009.MI 009.MI.SA 010 012 014 019.MI 019.MI.SA 022 024 026 029.MI 029.MI.SA 032 035 042 043.MI 043.MI.SA 044
6.4 14 005.MI 005.MI.SA 007 010 022 023.MI 023.MI.SA 032 033 040 041 047 049.MI 049.MI.SA
6.5 16 003 005.MI 005.MI.SA 007 009 013 015.MI 015.MI.SA 017 023 028 032.MI 032.MI.SA 034 035 036
Chapter 7:Introduction to Probability
7.1 21 001 006 008 011.MI 011.MI.SA 015 019 021 025 027.MI 027.MI.SA 030 036 040 044.MI 044.MI.SA 048 053 057 064.MI 064.MI.SA
7.2 19 001 005 008 009.MI 009.MI.SA 014 019 023.MI 023.MI.SA 026 027 031 036.MI 036.MI.SA 037 042 045 046.MI 046.MI.SA
7.3 19 003 007 010.MI 010.MI.SA 014 017 021 027 031.MI 031.MI.SA 039 041 044 047.MI 047.MI.SA 050 055 061.MI 061.MI.SA
7.4 15 001 005 009.MI 009.MI.SA 010 012 013.MI 013.MI.SA 017 020 021 022.MI 022.MI.SA 024 028
7.5 17 001 005 009 012.MI 012.MI.SA 015 019 021 023 028.MI 028.MI.SA 031 034 040 044.MI 044.MI.SA 047
7.6 17 001 004.MI 004.MI.SA 005 008 009 012.MI 012.MI.SA 013 017 019 020 022.MI 022.MI.SA 027 030 034
7.7 18 001 005 009 013 020.MI 020.MI.SA 021 023 024.MI 024.MI.SA 025 026 027 033.MI 033.MI.SA 034 038 039
Chapter 8:Further Topics in Probability; Data Description
8.1 19 001.MI 001.MI.SA 003 005 009 011.MI 011.MI.SA 013 015 017.MI 017.MI.SA 019 023.MI 023.MI.SA 025 027 029 031.MI 031.MI.SA
8.2 17 009 013 017.MI 017.MI.SA 022 025 029 033.MI 033.MI.SA 037 038 039 045 046.MI 046.MI.SA 052 055
8.3 19 005 009 013 017 019.MI 019.MI.SA 023 026 028 029 033 037.MI 037.MI.SA 041 048.MI 048.MI.SA 050 055.MI 055.MI.SA
8.4 17 001 006 011 014 015.MI 015.MI.SA 019 023 027.MI 027.MI.SA 028 030 032 034.MI 034.MI.SA 035 037
8.5 17 001 005 007.MI 007.MI.SA 011 013 015 019 025.MI 025.MI.SA 027 029 032 034.MI 034.MI.SA 036 038
Chapter 9:Derivatives
9.1 20 001 009 011 015.MI 015.MI.SA 019 022.MI 022.MI.SA 029 036 049 051.MI 051.MI.SA 053 054.MI 054.MI.SA 057 061 063 064
9.2 16 001 003 008 011.MI 011.MI.SA 023 025 031 039 040.MI 040.MI.SA 043 047.MI 047.MI.SA 052 053
9.3 17 001 007.MI 007.MI.SA 011 015 023 027.MI 027.MI.SA 029 035 040.MI 040.MI.SA 041 042.MI 042.MI.SA 047 048
9.4 26 001 004 010.MI 010.MI.SA 011 015 019 022.MI 022.MI.SA 023 026.MI 026.MI.SA 027 031 035 039 043 045.MI 045.MI.SA 046 049 052 054.MI 054.MI.SA 056 057
9.5 21 001.MI 001.MI.SA 004 009 011 017.MI 017.MI.SA 020 021 022 031 039 041.MI 041.MI.SA 043 045.MI 045.MI.SA 046 049 051 056
9.6 26 001.MI 001.MI.SA 005.MI 005.MI.SA 011.MI 011.MI.SA 016 020.MI 020.MI.SA 021.MI 021.MI.SA 025.MI 025.MI.SA 028 031.MI 031.MI.SA 033.MI 033.MI.SA 035.MI 035.MI.SA 038 042 047 048.MI 048.MI.SA 052
9.7 20 001 003.MI 003.MI.SA 007 010 015 018 021.MI 021.MI.SA 027 031 033 035 037.MI 037.MI.SA 039 040.MI 040.MI.SA 041 043
9.8 20 001 005.MI 005.MI.SA 007 011 015.MI 015.MI.SA 017 019 024.MI 024.MI.SA 025 031 035 037.MI 037.MI.SA 038 039 040 045
9.9 16 001 006 009.MI 009.MI.SA 012 015 017 020.MI 020.MI.SA 028 034 035 036.MI 036.MI.SA 037 038
Chapter 10:Applications of Derivatives
10.1 17 001 005 013 017 019 023.MI 023.MI.SA 029 034 043 047.MI 047.MI.SA 050 052 056 058.MI 058.MI.SA
10.2 17 001 007 016 020.MI 020.MI.SA 021 029 031 034 035 037 038.MI 038.MI.SA 039 040.MI 040.MI.SA 043
10.3 17 001 005.MI 005.MI.SA 007 010 015 017.MI 017.MI.SA 020 025 030 033.MI 033.MI.SA 035 039 042 044
10.4 14 001 003.MI 003.MI.SA 008 009 011 013.MI 013.MI.SA 017 022 029 031.MI 031.MI.SA 032
10.5 16 001 005.MI 005.MI.SA 009 011 015 019.MI 019.MI.SA 021 024 035 037 040.MI 040.MI.SA 041 042
Chapter 11:Derivatives Continued
11.1 16 001 005 011 019.MI 019.MI.SA 021 025 027 034 039 046 049.MI 049.MI.SA 050 051 052
11.2 18 001 005.MI 005.MI.SA 010 013 016 025.MI 025.MI.SA 028 037 042.MI 042.MI.SA 047 051 054 056 058 063
11.3 18 001 006 007.MI 007.MI.SA 011 020 023 027.MI 027.MI.SA 031 039 048 052 055 058.MI 058.MI.SA 061 062
11.4 14 001 005 009.MI 009.MI.SA 011 016 017 020.MI 020.MI.SA 022 023 025 028.MI 028.MI.SA 033 037
11.5 11 001 006.MI 006.MI.SA 008 011 013 017.MI 017.MI.SA 019 022.MI 022.MI.SA
Chapter 12:Indefinate Integrals
12.1 18 001 005 009 015 019 022 027.MI 027.MI.SA 031 033 039.MI 039.MI.SA 043 046.MI 046.MI.SA 047 049 052
12.2 15 005.MI 005.MI.SA 011 019 023 027.MI 027.MI.SA 031 039 043.MI 043.MI.SA 047 049 051 056
12.3 17 001 009.MI 009.MI.SA 011 019 020 026.MI 026.MI.SA 032 035 041 043.MI 043.MI.SA 047 049 050 051
12.4 16 001 003.MI 003.MI.SA 005 009 012 014 017 019.MI 019.MI.SA 021 022 024 025.MI 025.MI.SA 026
12.5 19 005 007 009 011.MI 011.MI.SA 013 015 017 024.MI 024.MI.SA 030 034 038 041 043 047 049 056.MI 056.MI.SA
Chapter 13:Definite
13.1 16 001.MI 001.MI.SA 005 009 011 016.MI 016.MI.SA 018 020 024.MI 024.MI.SA 026 029 037 038 040
13.2 22 001 003 010 014 017 023 025.MI 025.MI.SA 031 032 033 038.MI 038.MI.SA 044 047 049 054 057 059 061.MI 061.MI.SA 065
13.3 18 001 009 011 013.MI 013.MI.SA 019 024 027.MI 027.MI.SA 029 032 038 039 041 043.MI 043.MI.SA 044 046
13.4 17 001 004 006 007 011 013.MI 013.MI.SA 015 017 021 025.MI 025.MI.SA 027 031 033 035.MI 035.MI.SA
13.5 19 001 003 005 008 011 014 018.MI 018.MI.SA 020 022 028.MI 028.MI.SA 033 036 038 039 040 041.MI 041.MI.SA
13.6 18 001 005.MI 005.MI.SA 007 009 016 017.MI 017.MI.SA 022 025 029 031 032.MI 032.MI.SA 033 035 036 037
13.7 19 001 005 008 013 018 020.MI 020.MI.SA 022 023 026 029 033.MI 033.MI.SA 038 040.MI 040.MI.SA 043 044 046
13.8 17 001 005 007 010 011 013.MI 013.MI.SA 015 017 023 024.MI 024.MI.SA 025 026.MI 026.MI.SA 029 030
Chapter 14:Functions of Two or More Variables
14.1 17 005.MI 005.MI.SA 009 012 013 015.MI 015.MI.SA 017 019 025.MI 025.MI.SA 027 030 033 036 037 038
14.2 17 001.MI 001.MI.SA 004 008 012 017.MI 017.MI.SA 019 031 035 039.MI 039.MI.SA 048 049 050 053 054
14.3 14 001 003.MI 003.MI.SA 006 009 011 013.MI 013.MI.SA 017 020.MI 020.MI.SA 023 025 029
14.4 18 001 003 004 005 007 011.MI 011.MI.SA 015 016 019.MI 019.MI.SA 021 023 024 027.MI 027.MI.SA 029 034
14.5 14 001 004.MI 004.MI.SA 005 010 011 014.MI 014.MI.SA 015 017 021 023.MI 023.MI.SA 025
Total 1514 (3)