Solution Manual for College Mathematics for Business Economics Life Sciences and Social Sciences 12th Edition by Raymond A. Barnett
Solution Manual for College Mathematics for Business Economics Life Sciences and Social Sciences 12th Edition by Raymond A. Barnett
This accessible text is designed to help readers help themselves to excel. The content is organized into three parts: (1) A Library of Elementary Functions (Chapters 1–2), (2) Finite Mathematics (Chapters 3–9), and (3) Calculus (Chapters 10–15). The book’s overall approach, refined by the authors’ experience with large sections of college freshmen, addresses the challenges of learning when readers’ prerequisite knowledge varies greatly. Reader-friendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today’s students and instructors.
Table of Contents
Preface
vii
Supplements
xiv
Acknowledgments
xvi
Diagnostic Algebra Test
xvii
PART 1 A LIBRARY OF ELEMENTARY FUNCTIONS
Linear Equations and Graphs
2(41)
Linear Equations and Inequalities
3(10)
Graphs and Lines
13(14)
Linear Regression
27(16)
Chapter 1 Review
39(1)
Review Exercises
40(3)
Functions and Graphs
43(83)
Functions
44(14)
Elementary Functions: Graphs and Transformations
58(12)
Quadratic Functions
70(15)
Polynomial and Rational Functions
85(10)
Exponential Functions
95(11)
Logarithmic Functions
106(20)
Chapter 2 Review
117(3)
Review Exercises
120(6)
PART 2 FINITE MATHEMATICS
Mathematics of Finance
126(43)
Simple Interest
127(6)
Compound and Continuous Compound Interest
133(12)
Future Value of an Annuity; Sinking Funds
145(8)
Present Value of an Annuity; Amortization
153(16)
Chapter 3 Review
164(2)
Review Exercises
166(3)
Systems of Linear Equations; Matrices
169(81)
Review: Systems of Linear Equations in Two Variables
170(13)
Systems of Linear Equations and Augmented Matrices
183(8)
Gauss-Jordan Elimination
191(14)
Matrices: Basic Operations
205(13)
Inverse of a Square Matrix
218(10)
Matrix Equations and Systems of Linear Equations
228(9)
Leontief Input-Output Analysis
237(13)
Chapter 4 Review
245(1)
Review Exercises
246(4)
Linear Inequalities and Linear Programming
250(29)
Linear Inequalities in Two Variables
251(7)
Systems of Linear Inequalities in Two Variables
258(7)
Linear Programming in Two Dimensions: A Geometric Approach
265(14)
Chapter 5 Review
277(1)
Review Exercises
277(2)
Linear Programming: The Simplex Method
279(55)
A Geometric Introduction to the Simplex Method
280(5)
The Simplex Method: Maximization with Problem Constraints of the Form &
285(17)
The Dual Problem: Minimization with Problem Constraints of the Form &
302(13)
Maximization and Minimization with Mixed Problem Constraints
315(19)
Chapter 6 Review
330(1)
Review Exercises
331(3)
Logic, Sets, and Counting
334(38)
Logic
335(8)
Sets
343(5)
Basic Counting Principles
348(8)
Permutations and Combinations
356(16)
Chapter 7 Review
368(1)
Review Exercises
369(3)
Probability
372(60)
Sample Spaces, Events, and Probability
373(12)
Union, Intersection, and Complement of Events; Odds
385(13)
Conditional Probability, Intersection, and Independence
398(13)
Bayes’ Formula
411(7)
Random Variable, Probability Distribution, and Expected Value
418(14)
Chapter 8 Review
427(1)
Review Exercises
428(4)
Markov Chains
432(42)
Properties of Markov Chains
433(11)
Regular Markov Chains
444(9)
Absorbing Markov Chains
453(21)
Chapter 9 Review
467(1)
Review Exercises
468(6)
PART 3 CALCULUS
Limits and the Derivative
474(84)
Introduction to Limits
475(14)
Infinite Limits and Limits at Infinity
489(13)
Continuity
502(11)
The Derivative
513(13)
Basic Differentiation Properties
526(9)
Differentials
535(7)
Marginal Analysis in Business and Economics
542(16)
Chapter 10 Review
552(1)
Review Exercises
553(5)
Additional Derivative Topics
558(56)
The Constant e and Continuous Compound Interest
559(6)
Derivatives of Exponential and Logarithmic Functions
565(8)
Derivatives of Products and Quotients
573(8)
The Chain Rule
581(10)
Implicit Differentiation
591(7)
Related Rates
598(5)
Elasticity of Demand
603(11)
Chapter 11 Review
611(1)
Review Exercises
612(2)
Graphing and Optimization
614(83)
First Derivative and Graphs
615(17)
Second Derivative and Graphs
632(17)
L’Hopital’s Rule
649(9)
Curve-Sketching Techniques
658(13)
Absolute Maxima and Minima
671(8)
Optimization
679(18)
Chapter 12 Review
692(1)
Review Exercises
693(4)
Integration
697(61)
Antiderivatives and Indefinite Integrals
698(11)
Integration by Substitution
709(11)
Differential Equations; Growth and Decay
720(11)
The Definite Integral
731(10)
The Fundamental Theorem of Calculus
741(17)
Chapter 13 Review
753(2)
Review Exercises
755(3)
Additional Integration Topics
758(39)
Area Between Curves
759(10)
Applications in Business and Economics
769(11)
Integration by Parts
780(7)
Integration Using Tables
787(10)
Chapter 14 Review
793(2)
Review Exercises
795(2)
Multivariable Calculus
797(70)
Functions of Several Variables
798(9)
Partial Derivatives
807(8)
Maxima and Minima
815(9)
Maxima and Minima Using Lagrange Multipliers
824(9)
Method of Least Squares
833(10)
Double Integrals over Rectangular Regions
843(10)
Double Integrals over More General Regions
853(14)
Chapter 15 Review
862(2)
Review Exercises
864(3)
Appendix A Basic Algebra Review
867(42)
Appendix B Special Topics
909(15)
Appendix C Tables
924
Answers
1(1)
Subject Index
1(12)
Index of Applications
13
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Solution Manual for College Mathematics for Business Economics Life Sciences and Social Sciences 12th Edition by Raymond A. Barnett