# Mathematical Applications for the Management, Life, and Social Sciences 12th edition

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

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• Harshbarger Mathematical Applications: Finite Math - 12e
• Harshbarger Mathematical Applications: Applied Calculus - 12e

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• Chapter 1: Linear Equations and Functions
• 1.1: Solutions of Linear Equations and Inequalities in One Variable (44)
• 1.2: Functions (38)
• 1.3: Linear Functions (46)
• 1.4: Graphs and Graphing Utilities (19)
• 1.5: Solutions of Systems of Linear Equations (43)
• 1.6: Applications of Functions in Business and Economics (46)
• 1: Warm-Up Exercises (8)
• 1: Review Exercises (14)
• 1: Chapter Test
• 1: Extended Applications and Group Projects (1)

• Chapter 2: Quadratic and Other Special Functions
• 2.2: Quadratic Functions: Parabolas (31)
• 2.4: Special Functions and Their Graphs (33)
• 2.5: Modeling; Fitting Curves to Data with Graphing Utilities (21)
• 2: Warm-Up Exercises (6)
• 2: Review Exercises (15)
• 2: Chapter Test
• 2: Extended Applications and Group Projects (1)

• Chapter 3: Matrices
• 3.1: Matrices (29)
• 3.2: Multiplication of Matrices (41)
• 3.3: Gauss-Jordan Elimination: Solving Systems of Equations (39)
• 3.4: Inverse of a Square Matrix; Matrix Equations (41)
• 3.5: Applications of Matrices: Leontief Input-Output Models (24)
• 3: Warm-Up Exercises (5)
• 3: Review Exercises (16)
• 3: Chapter Test
• 3: Extended Applications and Group Projects

• Chapter 4: Inequalities and Linear Programming
• 4.1: Linear Inequalities in Two Variables (32)
• 4.2: Linear Programming: Graphical Methods (28)
• 4.3: The Simplex Method: Maximization (34)
• 4.4: The Simplex Method: Duality and Minimization (18)
• 4.5: The Simplex Method with Mixed Constraints (27)
• 4: Warm-Up Exercises (5)
• 4: Review Exercises (16)
• 4: Chapter Test
• 4: Extended Applications and Group Projects (1)

• Chapter 5: Exponential and Logarithmic Functions
• 5.1: Exponential Functions (40)
• 5.2: Logarithmic Functions and Their Properties (48)
• 5.3: Equations and Applications with Exponential and Logarithmic Functions (40)
• 5: Warm-Up Exercises (4)
• 5: Review Exercises (15)
• 5: Chapter Test
• 5: Extended Applications and Group Projects (1)

• Chapter 6: Mathematics of Finance
• 6.1: Simple Interest; Sequences (35)
• 6.2: Compound Interest; Geometric Sequences (52)
• 6.3: Future Values of Annuities (38)
• 6.4: Present Values of Annuities (36)
• 6.5: Loans and Amortization (31)
• 6: Warm-Up Exercises (7)
• 6: Review Exercises (15)
• 6: Chapter Test
• 6: Extended Applications and Group Projects (1)

• Chapter 7: Introduction to Probability
• 7.1: Probability; Odds (41)
• 7.2: Unions and Intersections of Events: One-Trial Experiments (33)
• 7.3: Conditional Probability: The Product Rule (42)
• 7.4: Probability Trees and Bayes' Formula (24)
• 7.5: Counting: Permutations and Combinations (35)
• 7.6: Permutations, Combinations, and Probability (31)
• 7.7: Markov Chains (25)
• 7: Warm-Up Exercises (6)
• 7: Review Exercises (16)
• 7: Chapter Test
• 7: Extended Applications and Group Projects

• Chapter 8: Further Topics in Probability; Data Description
• 8.1: Binomial Probability Experiments (20)
• 8.2: Data Description (30)
• 8.3: Discrete Probability Distributions; The Binomial Distribution (31)
• 8.4: Normal Probability Distribution (29)
• 8.5: The Normal Curve Approximation to the Binomial Distribution (22)
• 8: Warm-Up Exercises (6)
• 8: Review Exercises (14)
• 8: Chapter Test
• 8: Extended Applications and Group Projects

• Chapter 9: Derivatives
• 9.1: Limits (43)
• 9.2: Continuous Functions; Limits at Infinity (39)
• 9.3: Rates of Change and Derivatives (33)
• 9.4: Derivative Formulas (41)
• 9.5: The Product Rule and the Quotient Rule (40)
• 9.6: The Chain Rule and the Power Rule (44)
• 9.7: Using Derivative Formulas (35)
• 9.8: Higher-Order Derivatives (33)
• 9.9: Applications: Marginals and Derivatives (27)
• 9: Warm-Up Exercises (9)
• 9: Review Exercises (15)
• 9: Chapter Test
• 9: Extended Applications and Group Projects (1)

• Chapter 10: Applications of Derivatives
• 10.1: Relative Maxima and Minima: Curve Sketching (44)
• 10.2: Concavity; Points of Inflection (34)
• 10.3: Optimization in Business and Economics (38)
• 10.4: Applications of Maxima and Minima (26)
• 10.5: Rational Functions: More Curve Sketching (28)
• 10: Warm-Up Exercises (8)
• 10: Review Exercises (15)
• 10: Chapter Test
• 10: Extended Applications and Group Projects (1)

• Chapter 11: Derivatives Continued
• 11.1: Derivatives of Logarithmic Functions (34)
• 11.2: Derivatives of Exponential Functions (43)
• 11.3: Implicit Differentiation (43)
• 11.4: Related Rates (26)
• 11.5: Applications in Business and Economics (18)
• 11: Warm-Up Exercises (8)
• 11: Review Exercises (15)
• 11: Chapter Test
• 11: Extended Applications and Group Projects (1)

• Chapter 12: Indefinite Integrals
• 12.1: Indefinite Integrals (34)
• 12.2: The Power Rule (39)
• 12.3: Integrals Involving Exponential and Logarithmic Functions (37)
• 12.4: Applications of the Indefinite Integral in Business and Economics (26)
• 12.5: Differential Equations (36)
• 12: Warm-Up Exercises (8)
• 12: Review Exercises (15)
• 12: Chapter Test
• 12: Extended Applications and Group Projects (1)

• Chapter 13: Definite Integrals: Techniques of Integration
• 13.1: Area Under a Curve (29)
• 13.2: The Definite Integral: The Fundamental Theorem of Calculus (44)
• 13.3: Area Between Two Curves (41)
• 13.4: Applications of Definite Integrals in Business and Economics (30)
• 13.5: Using Tables of Integrals (30)
• 13.6: Integration by Parts (25)
• 13.7: Improper Integrals and Their Applications (34)
• 13.8: Numerical Integration Methods: The Trapezoidal Rule and Simpson's Rule (22)
• 13: Warm-Up Exercises (5)
• 13: Review Exercises (15)
• 13: Chapter Test
• 13: Extended Applications and Group Projects (1)

• Chapter 14: Functions of Two or More Variables
• 14.1: Functions of Two or More Variables (25)
• 14.2: Partial Differentiation (33)
• 14.3: Applications of Functions of Two Variables in Business and Economics (19)
• 14.4: Maxima and Minima (20)
• 14.5: Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers (18)
• 14: Warm-Up Exercises (9)
• 14: Review Exercises (15)
• 14: Chapter Test
• 14: Extended Applications and Group Projects

• Chapter 0: Algebraic Concepts
• 0.1: Sets (40)
• 0.2: The Real Numbers (42)
• 0.3: Integral Exponents (37)
• 0.4: Radicals and Rational Exponents (44)
• 0.5: Operations with Algebraic Expressions (43)
• 0.6: Factoring (38)
• 0.7: Algebraic Fractions (34)
• 0: Review Exercises (15)
• 0: Chapter Test
• 0: Extended Applications and Group Project

Mathematical Applications for the Management, Life, and Social Sciences, 12th edition, engages students with its concept-based approach, multiple presentation methods, and relevant applications throughout. Intended for two-semester applied calculus or combined finite mathematics and applied calculus courses, the book places concepts in real-life contexts to help students strengthen their understanding. A focus on modeling (with modeling problems clearly labeled in the examples and problems, so they can be treated as optional) and flexible content organization accommodate different teaching approaches, enabling instructors to decide the order in which topics are presented and the degree to which they are emphasized.

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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 Tutorial
MI.SA - Stand Alone Master It

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

Group Quantity Questions
Chapter 0: Algebraic Concepts
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0.2 42 001 003 004 005 006 008 008.EP 010 010.EP 012 012.EP 013 013.EP 015 016.MI 016.MI.SA 017 018 021 022.MI 022.MI.SA 023 024 029 031 032 034 034.EP 036 036.EP 037.MI 037.MI.SA 039 040 042 044 051 051.EP 052 053 055 501.XP
0.3 37 001 002 003 004 008 010 012 014 015 016.MI 016.MI.SA 018 021 024 026 027 029 032.MI 032.MI.SA 033 035 038 039 040 042.MI 042.MI.SA 044 045 048 051 054 056 057 061 063 065 067
0.4 44 001 002 003 004.MI 004.MI.SA 006 008 010 012 013 016 017.MI 017.MI.SA 019 021 022 023 026 028 031 032 034.MI 034.MI.SA 037.MI 037.MI.SA 040 041 044.MI 044.MI.SA 045 049 052 054.MI 054.MI.SA 056 058 060 063 064 066 068 069 072 073
0.5 43 002 004 007 010 011 014 015.MI 015.MI.SA 016 018 019 021 022 025 028 029 032 033 036.MI 036.MI.SA 037 040 042 043 047 050 052 054 056.MI 056.MI.SA 059.MI 059.MI.SA 061.MI 061.MI.SA 064 065 067 069 070 071 072 073 074
0.6 38 001 002 004 005.MI 005.MI.SA 007 010 013 014 018 019.MI 019.MI.SA 020 022 024 025 028 030 032 034 036 037 039 040 041 046.MI 046.MI.SA 047 050 052.MI 052.MI.SA 055 058 060 061.MI 061.MI.SA 062 063
0.7 34 001 002 004 005 007 009 012 013 014.MI 014.MI.SA 017.MI 017.MI.SA 018 019 022 023 026 028 031 033 035.MI 035.MI.SA 038 041 043 044 047.MI 047.MI.SA 049 050 051 054 055 058
Chapter Demo
Demo.4 26 001 003 004 005 007 009 011 014.MI 015 017 019 021.EP 023 025 026.MI 027.EP 030.MI 031 033 043 047 050 051.MI 053 055 056
Chapter 1: Linear Equations and Functions
1.PJT 1 001
1.R 14 002 010 016 023 027 032 037 043 047 053 058 061 066 072
1.WU 8 001abc 001defg 002 003 004 005abc 005def 006
1.1 44 002 003 005.MI 005.MI.SA 007 009 010 013 016 018.MI 018.MI.SA 019 021 023 024 027 029 031 033.MI 033.MI.SA 035 037 039 039.EP 040 040.EP 041 041.EP 045 047.MI 047.MI.SA 049 051.MI 051.MI.SA 053 054 056 057 059 061 062 066 068 501.XP
1.2 38 001 003 005 006 007 008 009 011 015 017 019.MI 019.MI.SA 020 021 025.MI 025.MI.SA 027 029 032 033.MI 033.MI.SA 035 037.MI 037.MI.SA 039 041 044 047 049 050 050.EP 051 052 053.MI 053.MI.SA 054 058 059
1.3 46 001 003 005.MI 005.MI.SA 007 009 011 013 015.MI 015.MI.SA 017 019 021 023.MI 023.MI.SA 025 027.MI 027.MI.SA 029.MI 029.MI.SA 031 033 035.MI 035.MI.SA 036 037 040 041.MI 041.MI.SA 043 043.EP 045.MI 045.MI.SA 047 047.EP 049.MI 049.MI.SA 051 052 053 055 057 057.EP 063 064 065
1.4 19 007 017.MI 017.MI.SA 024 027 029 030 031 035.MI 035.MI.SA 037 039 041 042 043 044 045 047 048
1.5 43 001 002 003.MI 003.MI.SA 005 007.MI 007.MI.SA 009 011 012 013.MI 013.MI.SA 014 015 016 017.MI 017.MI.SA 020.MI 020.MI.SA 022 023 025 027.MI 027.MI.SA 031 032 035.MI 035.MI.SA 037.MI 037.MI.SA 039 040 043.MI 043.MI.SA 044.MI 044.MI.SA 045 048.MI 048.MI.SA 051 501.XP 502.XP.MI 502.XP.MI.SA
1.6 46 001.MI 001.MI.SA 003 004.MI 004.MI.SA 005 007 008 009 011.MI 011.MI.SA 013 014 015 017.MI 017.MI.SA 018 019 021 023 026 027 031 033 035 035.EP 036.MI 036.MI.SA 039 040 041 044.MI 044.MI.SA 045 047 048 049 049.EP 050.MI 050.MI.SA 051 055 055.EP 057 058.MI 058.MI.SA
Chapter 2: Quadratic and Other Special Functions
2.PJT 1 002
2.R 15 001 008 014 018 022 029 032 039 042 046 049 055 059 065 067
2.WU 6 001 002 003 004 005 006
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2.2 31 001 003 005 006 007.MI 007.MI.SA 009 011 011.EP 012 012.EP 013 015 017 018 021.MI 021.MI.SA 022 025 029 031 032 033 037.MI 037.MI.SA 039 041 043 044 045 048
2.3 28 001 003 004.MI 004.MI.SA 006 007 009 009.EP 010 011 012.MI 012.MI.SA 014 017 017.EP 018 018.EP 020 023 025 027 027.EP 028 029 031 031.EP 032.MI 032.MI.SA
2.4 33 002 005 008 010 011 013 016 019 021 023 025 027.MI 027.MI.SA 029 031 033 034.MI 034.MI.SA 035 036 037 040 041 041.EP 042 043 045 047 047.EP 050 051 052 054
2.5 21 001 003 005 007 009.MI 009.MI.SA 011.MI 011.MI.SA 014 015 016 018 019 021 022 024 026 027 030 035 036
Chapter 3: Matrices
3.R 16 001 006 011 016 019 021 026 031 035 038 043 046 049 050 054 058
3.WU 5 001abc 001d 002 003 004
3.1 29 001 002 004 007 009 010 011 013 014 015 017 019 020 023 025 027 029 031 032 033 035 039 040 042 044 045 047 051 501.XP
3.2 41 001.MI 001.MI.SA 003.MI 003.MI.SA 005 006 007 009 011 013.MI 013.MI.SA 015.MI 015.MI.SA 017 019.MI 019.MI.SA 022 022.EP 025.MI 025.MI.SA 026 027 031 033 038 039 041 043 045 046.MI 046.MI.SA 048 049.MI 049.MI.SA 050.MI 050.MI.SA 051.MI 051.MI.SA 053.MI 053.MI.SA 055
3.3 39 002 003 005 007.MI 007.MI.SA 009 011 013 015 017 018 020 023.MI 023.MI.SA 025 027 028 029 031 033 037 039 041 042 045 047 049 051.MI 051.MI.SA 054 055 057 057.EP 059 059.EP 061 061.EP 062 062.EP
3.4 41 002 002.EP 003 003.EP 004 004.EP 005 007 010 011 013 015.MI 015.MI.SA 017 020 023 024 025 029.MI 029.MI.SA 031 032 034 035 037 039 041 043 047 051 052 053.MI 053.MI.SA 055 056.MI 056.MI.SA 057 058 059.MI 059.MI.SA 061
3.5 24 001 003.MI 003.MI.SA 004 005 006 007 008 009 010 011.MI 011.MI.SA 015 018 021 023 026.MI 026.MI.SA 029 033 035 038 040 042
Chapter 4: Inequalities and Linear Programming
4.PJT 1 001
4.R 16 002 005 008 010 013 017 020 022 025 027 030 033 037 040 043 045
4.WU 5 001 002 003 004 005
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4.2 28 001.MI 001.MI.SA 002 005 007 009 012 013.MI 013.MI.SA 015 017 020 022 023 025 026 027.MI 027.MI.SA 029 031 033 038 039 040 041 043 044 045
4.3 34 003.MI 003.MI.SA 005 007 009 011 013 015 017 019.MI 019.MI.SA 021 024 025 026 027 028 030 032 033 035 039.MI 039.MI.SA 041 042 043 045 046 048 048.EP 050 052.MI 052.MI.SA 053
4.4 18 001.MI 001.MI.SA 004 005 007.MI 007.MI.SA 011 013 015 017 021 023.MI 023.MI.SA 025 028 029 032 034
4.5 27 001 001.EP 003 005.MI 005.MI.SA 007 009 010 011.MI 011.MI.SA 013 015 018 019 020 021 023 025 027.MI 027.MI.SA 029 030 031 032 035 037 038
Chapter 5: Exponential and Logarithmic Functions
5.PJT 1 002
5.R 15 002 006 010 014 017 021 029 032 035 037 042 045 050 054 058
5.WU 4 001 002 003 004
5.1 40 002 004 005 006 007 008 009.MI 009.MI.SA 011 013 015 017 018 020 021 024 025 026 028 029 033.MI 033.MI.SA 034 035 036 039 041 041and43 042 042and44 043 044 046 047 048.MI 048.MI.SA 049 052 501.XP 502.XP
5.2 48 001 003 004 005.MI 005.MI.SA 006 007 008 009 011 013 015 017 018 019 021 023 025 027 029 031 033 035.MI 035.MI.SA 036 037 039.MI 039.MI.SA 041 043 044 049 050 051.MI 051.MI.SA 052 053 055 060 062 063 064 067.MI 067.MI.SA 068 071 074 077
5.3 40 001.MI 001.MI.SA 003 005 007 009 011 013 015 016 017 018 019 021.MI 021.MI.SA 025.MI 025.MI.SA 026 027.MI 027.MI.SA 029 031 033 034 035 036 037 040 043 044 045 047 051 055 058.MI 058.MI.SA 059 062 067 068
Chapter 6: Mathematics of Finance
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6.WU 7 001 002 003 004 005 006 007
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6.2 52 001 002 003 005 007 008 009 010.MI 010.MI.SA 011 013 014.MI 014.MI.SA 017 017.EP 018 020 021 021.EP 023 025 028 028.EP 031 032 033 034 037.MI 037.MI.SA 038 041 043 043.EP 044 045 047 049 051.MI 051.MI.SA 053 055 057 059 061 061.EP 063 063.EP 065.MI 065.MI.SA 067 069 071
6.3 38 001 002 005 007.MI 007.MI.SA 008 009 010 011 011.EP 012 012.EP 013 014 015.MI 015.MI.SA 017 018 019 020 023 024 025 027.MI 027.MI.SA 030 033 035 037 039 041 041.EP 042 042.EP 043.MI 043.MI.SA 044 044.EP
6.4 36 001 002 003.MI 003.MI.SA 004 005 006 007 008 009 011 014 015 017 019 020 021.MI 021.MI.SA 023 025 028 029 030 033 035 037 040 041.MI 041.MI.SA 043 046 047 049.MI 049.MI.SA 051 054
6.5 31 001 003 005.MI 005.MI.SA 006 007 009 011 012 013 015.MI 015.MI.SA 017 018 020 021 023.MI 023.MI.SA 025 025.EP 029 029.EP 030 032 032.EP 036.MI 036.MI.SA 038 039 039.EP 040
Chapter 7: Introduction to Probability
7.R 16 001 006 008 011 014 016 019 023 025 027 029 033 036 041 049 052
7.WU 6 001 002 003 004 005 006
7.1 41 001 003 005 006 007 008 009 011.MI 011.MI.SA 015 016 017 018 019 021 023 025 027.MI 027.MI.SA 029 030 033 036 038 039 040 044.MI 044.MI.SA 045 046 048 050 050.EP 052 053 055 057.MI 057.MI.SA 060 062 064
7.2 33 001 003.MI 003.MI.SA 004 005 007 009 010 012 016 017 019 021 023 025.MI 025.MI.SA 028 029 031 031.EP 033 035 037 038.MI 038.MI.SA 039 040 042 044 047 048.MI 048.MI.SA 501.XP
7.3 42 001 001.EP 003 003.EP 004 005 007 010.MI 010.MI.SA 011 014 015 017 018 019 021 023 025 027 029 031.MI 031.MI.SA 033 035 037 039 041 043 044 045 047.MI 047.MI.SA 050 051 051.EP 053 053.EP 055 055.EP 058 061.MI 061.MI.SA
7.4 24 001 003.MI 003.MI.SA 005 007 008.MI 008.MI.SA 010 012 013.MI 013.MI.SA 015 017 018 020 021 022.MI 022.MI.SA 023 023.EP 024 029 501.XP 502.XP
7.5 35 001 003 005 007.MI 007.MI.SA 009 011 012.MI 012.MI.SA 015 017 019 021 023 026 028.MI 028.MI.SA 030 031 033 034 034.EP 036 036.EP 037 039 040 042 044.MI 044.MI.SA 045 047 047.EP 050 501.XP
7.6 31 001 003 004.MI 004.MI.SA 005 007 008 009 011 011.EP 012.MI 012.MI.SA 013 015 017 019 020 021 021.EP 022.MI 022.MI.SA 023 025 025.EP 027 030 032.MI 032.MI.SA 034 034.EP 035
7.7 25 001 005 009 011 013 015 017 019 020.MI 020.MI.SA 021 023 024.MI 024.MI.SA 025 026 027 029 033.MI 033.MI.SA 034 036 037 038 039
Chapter 8: Further Topics in Probability; Data Description
8.R 14 003 005 009 014 018 022 025 032 034 039 043 047 052 054
8.WU 6 001 002 003 004 005 006
8.1 20 001 003.MI 003.MI.SA 005 009 011.MI 011.MI.SA 013 015 017.MI 017.MI.SA 020 021 023.MI 023.MI.SA 025 027 029 031.MI 031.MI.SA
8.2 30 001 005 007 009 011 013 015 017.MI 017.MI.SA 019 021 022 023 025 027 029 031 033.MI 033.MI.SA 035 038 040 042 044.MI 044.MI.SA 048 050 051 501.XP 502.XP
8.3 31 001 003 005 005.EP 009 011 013 015 017 019.MI 019.MI.SA 021 023 026 028 029 033 035 037.MI 037.MI.SA 039 041 043 047 048.MI 048.MI.SA 049 050 051 053.MI 053.MI.SA
8.4 29 001 003 005 006 007 009 011 013 014 015.MI 015.MI.SA 017 019 021 023 025 028 030 031.MI 031.MI.SA 032 033 034 036 037 038.MI 038.MI.SA 039 041
8.5 22 001 001.EP 005 007.MI 007.MI.SA 009 011 013 015 017 019 020 023 025.MI 025.MI.SA 027 029 032 034.MI 034.MI.SA 036 038
Chapter 9: Derivatives
9.PJT 1 002
9.R 15 005 010 021 027 035 042 048 052 067 074 082 087 094 099 107
9.WU 9 001 002 003 004 005 006 007 008 009
9.1 43 002 004 005 006 008 010 011 012 013 016.MI 016.MI.SA 018 020 021.MI 021.MI.SA 022 024 025 026 027 029 031 033 035 037 040.MI 040.MI.SA 042 044 046 048 051 053 055.MI 055.MI.SA 057 058.MI 058.MI.SA 061 063 065 067 068
9.2 39 001 002 003 003.EP 005 005.EP 007 007.EP 008 008.EP 009 011.MI 011.MI.SA 013 014 015 016 018 020 021.MI 021.MI.SA 023 025 027 029 031 034 036 039 039.EP 040.MI 040.MI.SA 043 045 045.EP 047.MI 047.MI.SA 049 501.XP
9.3 33 001 003 006 007.MI 007.MI.SA 008 009 011 013 015 017 020 022 023 025 027.MI 027.MI.SA 029 030 031 033 035 037 039 040.MI 040.MI.SA 041 042.MI 042.MI.SA 045 047 048 052
9.4 41 001 003 004 005 007 009 011 014.MI 014.MI.SA 015 017 019 021 021.EP 023 025 026.MI 026.MI.SA 027 027.EP 030.MI 030.MI.SA 031 033 035 038 039 043 046 047 050 051.MI 051.MI.SA 052 053 055 056 058.MI 058.MI.SA 060 061
9.5 40 002.MI 002.MI.SA 003 004 005 008 009 010 011 011.EP 013 013.EP 015 015.EP 017.MI 017.MI.SA 020 021 022 023 023.EP 025 025.EP 026 030 031 034 036 038 039 041.MI 041.MI.SA 043 045.MI 045.MI.SA 046 049 049.EP 051 054
9.6 44 001.MI 001.MI.SA 002 003.MI 003.MI.SA 005 007 009 011.MI 011.MI.SA 013 015 016 018 020.MI 020.MI.SA 021.MI 021.MI.SA 023 025.MI 025.MI.SA 027 027.EP 028 031.MI 031.MI.SA 033.MI 033.MI.SA 035.MI 035.MI.SA 037 038 039 039.EP 042 044 045 047 048.MI 048.MI.SA 049 049.EP 052 501.XP
9.7 35 001 003.MI 003.MI.SA 005 006 007 010 011 013 015 017.MI 017.MI.SA 018 018.EP 020 021.MI 021.MI.SA 023 023.EP 025 025.EP 027 029 029.EP 031 033 035 036 037.MI 037.MI.SA 039 040.MI 040.MI.SA 041 043
9.8 33 001 003 004 005.MI 005.MI.SA 006 007 009 011 013 015.MI 015.MI.SA 017 019 019.EP 021 021.EP 024.MI 024.MI.SA 025 026 030 031 033 035.MI 035.MI.SA 036 036.EP 037 038 041 042 046
9.9 27 001 003 004 005 006 009.MI 009.MI.SA 011 012 015 017 020.MI 020.MI.SA 023 025 027 028 029 031 034.MI 034.MI.SA 035 036.MI 036.MI.SA 037 037.EP 038
Chapter 10: Applications of Derivatives
10.PJT 1 001
10.R 15 002 007 012 015 020 023 029 033 036 038 042 045 049 053 055
10.WU 8 001 002 003 004 005 006 007 008
10.1 44 001 001and03 002 002and04 003 004 005 007 009 011 014 015 017 019 021 025.MI 025.MI.SA 027 027.EP 029 031 033 035 036 038 040 042 043 045 048 049.MI 049.MI.SA 051.MI 051.MI.SA 052 053 053.EP 054 055 057 058 060.MI 060.MI.SA 062
10.2 34 001 001.EP 003 003.EP 004 004.EP 005 007 009 011 013 013.EP 015 016 017 020.MI 020.MI.SA 021 023 026 028 029 031 034 035 037 038.MI 038.MI.SA 039 040.MI 040.MI.SA 042 046 501.XP
10.3 38 001 001.EP 003 003.EP 004 005 006 007.MI 007.MI.SA 009 012 013 013.EP 014 014.EP 017 019.MI 019.MI.SA 021 021.EP 022 027 029 031 032 033.MI 033.MI.SA 035 037 039 039.EP 040 040.EP 042 043.MI 043.MI.SA 045 047
10.4 26 001 003.MI 003.MI.SA 005 007 008 009 011 013.MI 013.MI.SA 015.MI 015.MI.SA 017 018 019 019.EP 020 021 022 023 025 029 031.MI 031.MI.SA 032 032.EP
10.5 28 001 004 005.MI 005.MI.SA 007 009 011 013 015 017 019.MI 019.MI.SA 021 023.MI 023.MI.SA 024 026 027 030 032 035.MI 035.MI.SA 037 040.MI 040.MI.SA 041 042 043
Chapter 11: Derivatives Continued
11.PJT 1 002
11.R 15 002 006 009 010 014 017 019 021 024 027 030 031 033 037 040
11.WU 8 001 002 003 004 005abc 005def 006 007
11.1 34 001 003 005 007 009 011 013 015 017 019.MI 019.MI.SA 021 023 025 027 027.EP 029 031 031.EP 033 034 037 039 040 042 043 045 046 047 049.MI 049.MI.SA 050 051 052
11.2 43 001 003 005 007.MI 007.MI.SA 009 011 011.EP 012 013 014 015 016 018 019 021 023 025 027.MI 027.MI.SA 029 030 031 033 033.EP 038 039 039.EP 040 043 044.MI 044.MI.SA 045 047 049 051 053 056 058 059 060 062 065
11.3 43 001 003 006 007.MI 007.MI.SA 009 011 013 013.EP 015 017 019 020 022 023 024 025 027.MI 027.MI.SA 028 029 030 031 033 033.EP 035 037 037.EP 039 041 041.EP 043 045 048 052 054 055 057 058.MI 058.MI.SA 059 061 062
11.4 26 001 003 005 007 009.MI 009.MI.SA 011 013 015 016 017 019 020.MI 020.MI.SA 021 022 023.MI 023.MI.SA 025 027 028.MI 028.MI.SA 030 033 035 037
11.5 18 001 002 003 004 006.MI 006.MI.SA 007 008 009 011 015 017 019.MI 019.MI.SA 020 021 024.MI 024.MI.SA
Chapter 12: Indefinite Integrals
12.PJT 1 001
12.R 15 003 006 008 012 014 018 021 023 027 028 034 038 040 042 046
12.WU 8 001 002 003 004 005 006 007 008
12.1 34 001 003 005 007 008 009 011 013 015 017 019 021 024 025 027 029.MI 029.MI.SA 031 031.EP 033 035 037 039 041.MI 041.MI.SA 043 045 047 048.MI 048.MI.SA 049 054 055 056
12.2 39 001 003 004 005 007 008 009.MI 009.MI.SA 012 013 015 016 017 019 021 023 025 025.EP 026 027 027.EP 029 031.MI 031.MI.SA 032 033 035 037 040 042 043 047.MI 047.MI.SA 048 051 053 055 056 056.EP
12.3 37 001 004 005 005.EP 007 009.MI 009.MI.SA 010 011 012 013 015 015.EP 017 017.EP 018 019 019.EP 020 021 022 023 026.MI 026.MI.SA 027 029 032 035 037 041 043.MI 043.MI.SA 047 049 050 051 054
12.4 26 001 003.MI 003.MI.SA 004 005 006 007 009.MI 009.MI.SA 011 012 014 015 017 019.MI 019.MI.SA 021 022 023 024 025 026 027.MI 027.MI.SA 028 501.XP
12.5 36 001 003 003.EP 005 007 009 011.MI 011.MI.SA 013 013.EP 015 017 019 022 024.MI 024.MI.SA 025 028 030 030.EP 031 033 034 034.EP 035 035.EP 038 041 043 045 047 049 051 056.MI 056.MI.SA 061
Chapter 13: Definite Integrals: Techniques of Integration
13.PJT 1 002
13.R 15 003 006 010 015 019 024 030 032 037 040 043 047 051 053 055
13.WU 5 001 002 003 004 005
13.1 29 001.MI 001.MI.SA 001and05 003 003.EP 003and07 005 005.EP 007.MI 007.MI.SA 009 011 013 015 016.MI 016.MI.SA 018 020 022 024.MI 024.MI.SA 026 029 033 034 036 037 038 039
13.2 44 001 003 005 007 008 009 011 012 013.MI 013.MI.SA 015 019 022 025 027 029 031.MI 031.MI.SA 032 034 037 038 039 041 043 044.MI 044.MI.SA 045 050 051 053 055 057 058 059 060 062 063 065 067.MI 067.MI.SA 069 071 072
13.3 41 001 002 003 005 007 008 009.MI 009.MI.SA 011 013.MI 013.MI.SA 014 016 016.EP 017 019 021 021.EP 024 024.EP 025 027.MI 027.MI.SA 029 030 030.EP 032 032.EP 033 036 037 038 039 040 040.EP 041 043.EP 043.MI 043.MI.SA 046 047
13.4 30 001 003 003.EP 004 005 006 007 009 009.EP 011 013.MI 013.MI.SA 015 017 017.EP 019 019.EP 021 023 023.EP 025.MI 025.MI.SA 027 029 029.EP 031 033 033.EP 035.MI 035.MI.SA
13.5 30 001 003 005 007 008 009 011 013 014 015 017 018.MI 018.MI.SA 020 022 023 025 027 028.MI 028.MI.SA 029 031 033 036 037 038 039 040 041.MI 041.MI.SA
13.6 25 001 003 005.MI 005.MI.SA 007 007.EP 009 011 013 015 016 016.EP 017.MI 017.MI.SA 019 021 022 025 029 031 032.MI 032.MI.SA 033 035 036
13.7 34 001 003 003.EP 005 005.EP 006 008 010 011 013 015 017 018 019 020.MI 020.MI.SA 021 022 023 026 029 033.MI 033.MI.SA 036 038 039 040.MI 040.MI.SA 043 044 045 046 048 050
13.8 22 001 003 005 007 010 011 013.MI 013.MI.SA 015 017 019 021 023 024.MI 024.MI.SA 025 026.MI 026.MI.SA 029 030 031 032
Chapter 14: Functions of Two or More Variables
14.R 15 002 004 006 007 011 013 016 018 019 021 023 027 031 033 035
14.WU 9 001 002 003 004 005 006 007 008 009
14.1 25 002 003 005.MI 005.MI.SA 007 009 012 013 015.MI 015.MI.SA 017 019 021 023 025 026.MI 026.MI.SA 027 028 030 033 035 036 037 038
14.2 33 001.MI 001.MI.SA 003 004 005 008 009 011 012 013 017.MI 017.MI.SA 019 021 023 025 027 029 031 033 035 037 039.MI 039.MI.SA 041 043 045 048 049 050 051 053 054
14.3 19 001 002 003.MI 003.MI.SA 006 007 009 011 013.MI 013.MI.SA 014 017 019 020.MI 020.MI.SA 023 025 027 029
14.4 20 001 003 004 005 007 009 011.MI 011.MI.SA 013 015 016 019.MI 019.MI.SA 021 023 024 025 027.MI 027.MI.SA 029
14.5 18 001 003 004.MI 004.MI.SA 005 007 008 010 011 012 014.MI 014.MI.SA 015 017 021 023.MI 023.MI.SA 025
Total 3245