Student's Solutions Manual to Accompany Finite Mathematics and Calculus With Applications

by Zarcone, August; Sullivan, John; Krusinski, Gerald

• ISBN13: 9780321016270
• ISBN10: 0321016270
• Edition: 5th
• Format: Paperback
• Copyright: 1999-06-01
• Publisher: Pearson College Div

Summary

Provides detailed, carefully worked out solutions to odd-numbered exercises, as well as sample chapter tests with answers.

Table of Contents

To The Student	xiii
Algebra Reference
Polynomials	1	(1)
Factoring	2	(1)
Rational Expressions	3	(4)
Equations	7	(4)
Inequalities	11	(9)
Exponents	20	(3)
Radicals	23	(4)
Linear Functions
Slope and Equations of a Line	27	(4)
Linear Functions	31	(3)
Linear Mathematical Models	34	(3)
Constructing a Mathematical Model	37	(12)
Review Exercises	41	(3)
Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants	44	(1)
Extended Application: Depreciation	44	(2)
Test	46	(2)
Test Answers	48	(1)
Systems of Linear Equations and Matrices
Solutions of Linear Systems by the Echelon Method	49	(5)
Solutions of Linear Systems by the Gauss-Jordan Method	54	(10)
Addition and Subtraction of Matrices	64	(2)
Multiplication of Matrices	66	(3)
Matrix Inverses	69	(7)
Input-Output Models	76	(13)
Review Exercises	79	(6)
Extended Application: Contagion	85	(1)
Test	86	(2)
Test Answers	88	(1)
Linear Programming: The Graphical Method
Graphing Linear Inequalities	89	(3)
Solving Linear Programming Problems Graphically	92	(3)
Applications of Linear Programming	95	(9)
Review Exercises	99	(3)
Test	102	(1)
Test Answers	103	(1)
Linear Programming: The Simplex Method
Slack Variables and the Pivot	104	(3)
Maximization Problems	107	(7)
Minimization Problems; Duality	114	(6)
Nonstandard Problems	120	(20)
Review Exercises	129	(5)
Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix	134	(1)
Test	135	(3)
Test Answers	138	(2)
Mathematics of Finance
Simple and Compound Interest	140	(2)
Future Value of an Annuity	142	(4)
Present Value of an Annuity; Amortization	146	(12)
Review Exercises	150	(4)
Extended Application: Time, Money, and Polynomials	154	(2)
Test	156	(1)
Test Answers	157	(1)
Sets and Probability
Sets	158	(2)
Applications of Venn Diagrams	160	(6)
Introduction to Probability	166	(2)
Basic Concepts of Probability	168	(4)
Conditional Probability; Independent Events	172	(3)
Bayes' Theorem	175	(12)
Review Exercises	178	(4)
Extended Application: Medical Diagnosis	182	(2)
Test	184	(2)
Test Answers	186	(1)
Counting Principles, Further Probability Topics
The Multiplication Principle; Permutations	187	(2)
Combinations	189	(3)
Probability Applications of Counting Principles	192	(3)
Binomial Probability	195	(3)
Probability Distributions; Expected Value	198	(12)
Review Exercises	202	(4)
Extended Application: Optimal Inventory for a Service Truck	206	(1)
Test	207	(2)
Test Answers	209	(1)
Statistics
Frequency Distributions; Measures of Central Tendency	210	(2)
Measures of Variation	212	(3)
The Normal Distribution	215	(3)
Normal Approximation to the Binomial Distribution	218	(10)
Review Exercises	221	(4)
Test	225	(2)
Test Answers	227	(1)
Markov Chains
Basic Properties of Markov Chains	228	(4)
Regular Markov Chains	232	(4)
Absorbing Markov Chains	236	(12)
Review Exercises	239	(4)
Extended Application: Cavities and Restoration	243	(2)
Test	245	(2)
Test Answers	247	(1)
Game Theory
Strictly Determined Games	248	(2)
Mixed Strategies	250	(3)
Game Theory and Linear Programming	253	(18)
Review Exercises	261	(6)
Extended Application: Decision Making in the Military	267	(1)
Test	268	(2)
Test Answers	270	(1)
Nonlinear Functions
Properties of Functions	271	(4)
Quadratic Functions	275	(5)
Translations and Reflections of Functions	280	(2)
Polynomial and Rational Functions	282	(5)
Exponential Functions	287	(3)
Logarithmic Functions	290	(5)
Applications: Growth and Decay; Mathematics of Finance	295	(17)
Review Exercises	299	(7)
Extended Application: Characteristics of the Monkeyface Prickleback	306	(1)
Test	307	(3)
Test Answers	310	(2)
The Derivative
Limits	312	(4)
Continuity	316	(2)
Rates of Change	318	(5)
Definition of the Derivative	323	(5)
Graphical Differentiation	328	(10)
Review Exercises	329	(5)
Test	334	(3)
Test Answers	337	(1)
Calculating the Derivative
Techniques for Finding Derivatives	338	(3)
Derivatives of Products and Quotients	341	(3)
The Chain Rule	344	(4)
Derivatives of Exponential Functions	348	(2)
Derivatives of Logarithmic Functions	350	(10)
Review Exercises	353	(4)
Test	357	(2)
Test Answers	359	(1)
Graphs And the Derivative
Increasing and Decreasing Functions	360	(3)
Relative Extrema	363	(5)
Higher Derivatives, Concavity, and the Second Derivative Test	368	(6)
Curve Sketching	374	(16)
Review Exercises	381	(5)
Test	386	(2)
Test Answers	388	(2)
Applications of the Derivative
Absolute Extrema	390	(3)
Applications of Extrema	393	(7)
Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand	400	(2)
Implicit Differentiation	402	(4)
Related Rates	406	(2)
Differentials: Linear Approximation	408	(11)
Review Exercises	410	(4)
Extended Application: A Total Cost Model for a Training Program	414	(1)
Extended Application: The Effect of Oil Price on the Optimal Speed of Ships	415	(1)
Test	416	(2)
Test Answers	418	(1)
Integration
Antiderivatives	419	(4)
Substitution	423	(3)
Area and the Definite Integral	426	(5)
The Fundamental Theorem of Calculus	431	(6)
The Area Between Two Curves	437	(6)
Numerical Integration	443	(16)
Review Exercises	449	(5)
Extended Application: Estimating Depletion Dates for Minerals	454	(1)
Test	455	(3)
Test Answers	458	(1)
Further Techniques and Applications of Integration
Integration by Parts; Tables of Integrals	459	(4)
Volume and Average Value	463	(3)
Continuous Money Flow	466	(3)
Improper Integrals	469	(4)
Solutions of Elementary and Separable Differential Equations	473	(18)
Review Exercises	480	(6)
Extended Application: How Much Does a Warranty Cost?	486	(1)
Test	487	(3)
Test Answers	490	(1)
Multivariable Calculus
Functions of Several Variables	491	(2)
Partial Derivatives	493	(5)
Maxima and Minima	498	(5)
Lagrange Multipliers	503	(5)
Total Differentials and Approximations	508	(2)
Double Integrals	510	(19)
Review Exercises	517	(6)
Extended Application: Lagrange Multipliers for a Predator	523	(3)
Test	526	(2)
Test Answers	528	(1)
Probability And Calculus
Continuous Probability Models	529	(3)
Expected Value and Variance of Continuous Random Variables	532	(4)
Special Probability Density Functions	536	(10)
Review Exercises	539	(3)
Extended Application: A Crop-Planting Model	542	(2)
Test	544	(2)
Test Answers	546