book

Basic Technical Mathematics, 11th Edition

Name: Basic Technical Mathematics, 11th Edition
ISBN: 9780136747826

by Allyn J. Washington, Richard Evans

January 2017

Intermediate to advanced

752 pages

360h 13m

English

Pearson

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Basic Technical Mathematics
Contents
Preface
Scope of the BookNew to This EditionContinuing FeaturesTechnology and Supplements
BASIC CURVES
ALGEBRA
Exponents and RadicalsSpecial ProductsQuadratic Equation and FormulaProperties of LogarithmsComplex NumbersVariation
GEOMETRIC FORMULAS
TRIGONOMETRY
Basic Identities
GREEK ALPHABET
MyMathLab
Support You Need, When You Need It
Interactive Exercises

Instructional Videos
Interactive eText
1 Basic Algebraic Operations
LEARNING OUTCOMES
1.1 Numbers
THE NUMBER LINEEXERCISES 1.1Answers to Practice Exercises
1.2 Fundamental Operations of Algebra
OPERATIONS ON POSITIVE AND NEGATIVE NUMBERSORDER OF OPERATIONSOPERATIONS WITH ZEROEXERCISES 1.2Answers to Practice Exercises
1.3 Calculators and Approximate Numbers
APPROXIMATE NUMBERS AND SIGNIFICANT DIGITSOPERATIONS WITH APPROXIMATE NUMBERSEXERCISES 1.3Answers to Practice Exercises
1.4 Exponents and Unit Conversions
ZERO AND NEGATIVE EXPONENTSORDER OF OPERATIONSEVALUATING ALGEBRAIC EXPRESSIONSOPERATIONS WITH UNITS AND UNIT CONVERSIONSEXERCISES 1.4Answers to Practice Exercises
1.5 Scientific Notation
Exercises 1.5Answers to Practice Exercises
1.6 Roots and Radicals
EXERCISES 1.6Answers to Practice Exercises
1.7 Addition and Subtraction of Algebraic Expressions
Exercises 1.7Answers to Practice Exercises
1.8 Multiplication of Algebraic Expressions
EXERCISES 1.8Answers to Practice Exercises
1.9 Division of Algebraic Expressions
DIVISION OF ONE POLYNOMIAL BY ANOTHEREXERCISES 1.9Answers to Practice Exercises
1.10 Solving Equations
RATIO AND PROPORTIONEXERCISES 1.10Answers to Practice Exercises
1.11 Formulas and Literal Equations
EXERCISES 1.11Answers to Practice Exercises
1.12 Applied Word Problems
EXERCISES 1.12Answer to Practice Exercise
CHAPTER 1 KEY FORMULAS AND EQUATIONS
CHAPTER 1 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 1 PRACTICE TEST
2 Geometry
LEARNING OUTCOMES
2.1 Lines Angles
EXERCISES 2.1Answers to Practice Exercises
2.2 Triangles
TYPES PROPERTIES OF TRIANGLESPERIMETER AREA OF A TRIANGLETHE PYTHAGOREAN THEOREMSIMILAR TRIANGLESEXERCISES 2.2Answers to Practice Exercises
2.3 Quadrilaterals
TYPES OF QUADRILATERALSPERIMETER AREA OF A QUADRILATERALEXERCISES 2.3Answers to Practice Exercises
2.4 Circles
CIRCUMFERENCE AREA OF A CIRCLECIRCULAR ARCS ANGLESRADIAN MEASURE OF AN ANGLEEXERCISES 2.4Answers to Practice Exercises
2.5 Measurement of Irregular Areas
THE TRAPEZOIDAL RULESIMPSON’S RULEEXERCISES 2.5Answer to Practice Exercise
2.6 Solid Geometric Figures
EXERCISES 2.6Answers to Practice Exercises
CHAPTER 2 KEY FORMULAS EQUATIONS
CHAPTER 2 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE APPLICATIONS
CHAPTER 2 PRACTICE TEST
3 Functions and Graphs
LEARNING OUTCOMES
3.1 Introduction to Functions
FUNCTIONAL NOTATIONEXERCISES 3.1Answers to Practice Exercises
3.2 More about Functions
FUNCTIONS FROM VERBAL STATEMENTSEXERCISES 3.2Answers to Practice Exercises
3.3 Rectangular Coordinates
EXERCISES 3.3Answer to Practice Exercise
3.4 The Graph of a Function
Exercises 3.4Answers to Practice Exercises
3.5 Graphs on the Graphing Calculator
SOLVING EQUATIONS GRAPHICALLYSHIFTING A GRAPHEXERCISES 3.5Answers to Practice Exercises
3.6 Graphs of Functions Defined by Tables of Data
LINEAR INTERPOLATIONEXERCISES 3.6Answer to Practice Exercise
CHAPTER 3 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 3 PRACTICE TEST
4 The Trigonometric Functions
LEARNING OUTCOMES
4.1 Angles
ANGLE CONVERSIONSSTANDARD POSITION OF AN ANGLEEXERCISES 4.1Answers to Practice Exercises
4.2 Defining the Trigonometric Functions
DEFINITION OF THE TRIGONOMETRIC FUNCTIONSEVALUATING THE TRIGONOMETRIC FUNCTIONSTHE UNIT CIRCLE AND THE TRIGONOMETRIC FUNCTIONSEXERCISES 4.2Answers to Practice Exercises
4.3 Values of the Trigonometric Functions
EXERCISES 4.3Answers to Practice Exercises
4.4 The Right Triangle
EXERCISES 4.4Answers to Practice Exercises
4.5 Applications of Right Triangles
EXERCISES 4.5Answers to Practice Exercise
CHAPTER 4 KEY FORMULAS AND EQUATIONS
CHAPTER 4 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 4 PRACTICE TEST
5 Systems of Linear Equations; Determinants
LEARNING OUTCOMES
5.1 Linear Equations and Graphs of Linear Functions
LINEAR EQUATIONSGRAPHING A LINEAR EQUATION IN TWO UNKNOWNSLINEAR FUNCTIONS AND SLOPESLOPE-INTERCEPT FORM OF THE EQUATION OF A STRAIGHT LINESKETCHING LINES BY INTERCEPTSLINEAR REGRESSIONEXERCISES 5.1Answers to Practice Exercises
5.2 Systems of Equations and Graphical Solutions
SOLUTION BY GRAPHINGSOLVING SYSTEMS OF EQUATIONS USING A GRAPHING CALCULATORAPPLICATIONS INVOLVING TWO LINEAR EQUATIONSINCONSISTENT AND DEPENDENT SYSTEMSEXERCISES 5.2Answer to Practice Exercises
5.3 Solving Systems of Two Linear Equations in Two Unknowns Algebraically
SOLUTION BY SUBSTITUTIONSOLUTION BY ADDITION OR SUBTRACTIONEXERCISES 5.3Answers to Practice Exercises
5.4 Solving Systems of Two Linear Equations in Two Unknowns by Determinants
Exercises 5.4Answers to Practice Exercises
5.5 Solving Systems of Three Linear Equations in Three Unknowns Algebraically
EXERCISES 5.5Answer to Practice Exercise
5.6 Solving Systems of Three Linear Equations in Three Unknowns by Determinants
Exercises 5.6Answers to Practice Exercises
CHAPTER 5 KEY FORMULAS AND EQUATIONS
CHAPTER 5 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 5 PRACTICE TEST
6 Factoring and Fractions
LEARNING OUTCOMES
6.1 Factoring: Greatest Common Factor and Difference of Squares
FACTORING OUT THE GREATEST COMMON FACTOR (GCF)FACTORING THE DIFFERENCE OF TWO SQUARESFACTORING COMPLETELYFACTORING BY GROUPINGEXERCISES 6.1Answers to Practice Exercises
6.2 Factoring Trinomials
FACTORING TRINOMIALS WITH A LEADING COEFFICIENT OF 1FACTORING GENERAL TRINOMIALS BY TRIAL AND ERRORFACTORING GENERAL TRINOMIALS BY GROUPINGFACTORING PERFECT SQUARE TRINOMIALSFACTORING COMPLETELYEXERCISES 6.2Answers to Practice Exercises
6.3 The Sum and Difference of Cubes
SUMMARY OF METHODS OF FACTORINGEXERCISES 6.3Answers to Practice Exercises
6.4 Equivalent Fractions
SIMPLEST FORM, OR LOWEST TERMS, OF A FRACTIONFACTORS THAT DIFFER ONLY IN SIGNEXERCISES 6.4Answers to Practice Exercises
6.5 Multiplication and Division of Fractions
USE OF A CALCULATOR FOR CHECKING ANSWERS GRAPHICALLYEXERCISES 6.5Answers to Practice Exercises
6.6 Addition and Subtraction of Fractions
LOWEST COMMON DENOMINATORADDITION AND SUBTRACTION OF FRACTIONSCOMPLEX FRACTIONSEXERCISES 6.6Answers to Practice Exercises
6.7 Equations Involving Fractions
EXERCISES 6.7Answers to Practice Exercises
CHAPTER 6 KEY FORMULAS AND EQUATIONS
CHAPTER 6 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 6 PRACTICE TEST
7 Quadratic Equations
LEARNING OUTCOMES
7.1 Quadratic Equations; Solution by Factoring
SOLUTIONS OF A QUADRATIC EQUATIONSOLVING A QUADRATIC EQUATION BY FACTORINGEXERCISES 7.1Answers to Practice Exercises
7.2 Completing the Square
EXERCISES 7.2Answer to Practice Exercise
7.3 The Quadratic Formula
EXERCISES 7.3Answer to Practice Exercise
7.4 The Graph of the Quadratic Function
SOLVING QUADRATIC EQUATIONS GRAPHICALLYEXERCISES 7.4Answers to Practice Exercise
CHAPTER 7 KEY FORMULAS AND EQUATIONS
CHAPTER 7 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 7 PRACTICE TEST
8 Trigonometric Functions of Any Angle
LEARNING OUTCOMES
8.1 Signs of the Trigonometric Functions
EXERCISES 8.1Answers to Practice Exercises
8.2 Trigonometric Functions of Any Angle
EXERCISES 8.2Answers to Practice Exercises
8.3 Radians
EXERCISES 8.3Answers to Practice Exercises
8.4 Applications of Radian Measure
ARC LENGTH ON A CIRCLEAREA OF A SECTOR OF A CIRCLELINEAR AND ANGULAR VELOCITYEXERCISES 8.4Answers to Practice Exercises
CHAPTER 8 KEY FORMULAS AND EQUATIONS
CHAPTER 8 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 8 PRACTICE TEST
9 Vectors and Oblique Triangles
LEARNING OUTCOMES
9.1 Introduction to Vectors
ADDITION OF VECTORSEXERCISES 9.1Answers to Practice Exercises
9.2 Components of Vectors
EXERCISES 9.2Answers to Practice Exercises
9.3 Vector Addition by Components
EXERCISES 9.3Answers to Practice Exercises
9.4 Applications of Vectors
EQUILIBRIUM OF FORCESEXERCISES 9.4Answers to Practice Exercises
9.5 Oblique Triangles, the Law of Sines
CASE 1: TWO ANGLES AND ONE SIDECASE 2: TWO SIDES AND THE ANGLE OPPOSITE ONE OF THEMEXERCISES 9.5Answers to Practice Exercises
9.6 The Law of Cosines
CASE 3: TWO SIDES AND THE INCLUDED ANGLECASE 4: THREE SIDESEXERCISES 9.6Answers to Practice Exercises
CHAPTER 9 KEY FORMULAS AND EQUATIONS
CHAPTER 9 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 9 PRACTICE TEST
10 Graphs of the Trigonometric Functions
LEARNING OUTCOMES
10.1 Graphs of y = a sin x and y = a cos x
AMPLITUDEExercises 10.1Answers to Practice Exercise
10.2 Graphs of y = a sin bx and y = a cos bx
Exercises 10.2Answers to Practice Exercises
10.3 Graphs of y = a sin( bx + c) and y = a cos(bx + c)
Exercises 10.3Answers to Practice Exercises
10.4 Graphs of y = tan x , y = cot x , y = sec x , y = csc x
Exercises 10.4
10.5 Applications of the Trigonometric Graphs
Exercises 10.5Answer to Practice Exercises
10.6 Composite Trigonometric Curves
ADDITION OF ORDINATESLISSAJOUS FIGURESEXERCISES 10.6
CHAPTER 10 KEY FORMULAS AND EQUATIONS
CHAPTER 10 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 10 PRACTICE TEST
11 Exponents and Radicals
LEARNING OUTCOMES
11.1 Simplifying Expressions with Integer Exponents
Exercises 11.1Answers to Practice Exercises
11.2 Fractional Exponents
Exercises11.2Answers to Practice Exercises
11.3 Simplest Radical Form
Exercises11.3Answers to Practice Exercises
11.4 Addition and Subtraction of Radicals
Exercises11.4Answers to Practice Exercises
11.5 Multiplication and Division of Radicals
DIVISION OF RADICALSExercises11.5Answers to Practice Exercises
CHAPTER 11 KEY FORMULAS AND EQUATIONS
CHAPTER 11 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 11 PRACTICE TEST
12 Complex Numbers
LEARNING OUTCOMES
12.1 Basic Definitions
RECTANGULAR FORM OF A COMPLEX NUMBEREXERCISES 12.1Answers to Practice Exercises
12.2 Basic Operations with Complex Numbers
EXERCISES 12.2Answers to Practice Exercises
12.3 Graphical Representation of Complex Numbers
Exercises 12.3
12.4 Polar Form of a Complex Number
EXERCISES 12.4Answers to Practice Exercises
12.5 Exponential Form of a Complex Number
Exercises 12.5Answers to Practice Exercises
12.6 Products, Quotients, Powers, and Roots of Complex Numbers
DEMOIVRE'S THEOREMExercises 12.6Answers to Practice Exercises
12.7 An Application to Alternating-current (ac) Circuits
Exercises 12.7Answer to Practice Exercise
CHAPTER 12 KEY FORMULAS AND EQUATIONS
CHAPTER 12 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 12 PRACTICE TEST
13 Exponential and Logarithmic Functions
LEARNING OUTCOMES
13.1 Exponential Functions
GRAPHING EXPONENTIAL FUNCTIONSEXERCISES 13.1Answers to Practice Exercises
13.2 Logarithmic Functions
THE LOGARITHMIC FUNCTIONGRAPHING LOGARITHMIC FUNCTIONSINVERSE FUNCTIONSEXERCISES 13.2Answers to Practice Exercise
13.3 Properties of Logarithms
EXERCISES 13.3Answers to Practice Exercises
13.4 Logarithms to the Base 10
EXERCISES 13.4Answers to Practice Exercises
13.5 Natural Logarithms
Exercises 13.5Answers to Practice Exercises
13.6 Exponential and Logarithmic Equations
EXPONENTIAL EQUATIONSLOGARITHMIC EQUATIONSEXERCISES 13.6Answers to Practice Exercises
13.7 Graphs on Logarithmic and Semilogarithmic Paper
EXERCISES 13.7
CHAPTER 13 KEY FORMULAS AND EQUATIONS
CHAPTER 13 REVIEW EXERCISES
Concept check ExercisesPractice and Applications
CHAPTER 13 PRACTICE TEST
14 Additional Types of Equations and Systems of Equations
LEARNING OUTCOMES
14.1 Graphical Solution of Systems of Equations
SOLVING SYSTEMS OF EQUATIONSEXERCISES 14.1Answer to Practice Exercise
14.2 Algebraic Solution of Systems of Equations
SOLUTION BY SUBSTITUTIONSOLUTION BY ADDITION OR SUBTRACTIONEXERCISES 14.2Answers to Practice Exercises
14.3 Equations in Quadratic Form
EXERCISES 14.3Answers to Practice Exercises
14.4 Equations with Radicals
EXERCISES 14.4Answers to Practice Exercises
CHAPTER 14 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 14 PRACTICE TEST
15 Equations of Higher Degree
LEARNING OUTCOMES
15.1 The Remainder and Factor Theorems; Synthetic Division
THE REMAINDER THEOREMTHE FACTOR THEOREMSYNTHETIC DIVISIONEXERCISES 15.1Answers to Practice Exercises
15.2 The Roots of an Equation
GRAPHICAL FEATURES INDICATING NUMBER AND TYPES OF ROOTSEXERCISES 15.2Answers to Practice Exercises
15.3 Rational and Irrational Roots
EXERCISES 15.3Answers to Practice Exercises
CHAPTER 15 KEY FORMULAS AND EQUATIONS
CHAPTER 15 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 15 PRACTICE TEST
16 Matrices; Systems of Linear Equations
LEARNING OUTCOMES
16.1 Matrices: Definitions and Basic Operations
MATRIX ADDITION AND SUBTRACTIONEXERCISES 16.1Answers to Practice Exercises
16.2 Multiplication of Matrices
IDENTITY MATRIXINVERSE OF A MATRIXEXERCISES 16.2Answers to Practice Exercises
16.3 Finding the Inverse of a Matrix
GAUSS–JORDAN METHODEXERCISES 16.3Answers to Practice Exercises
16.4 Matrices and Linear Equations
EXERCISES 16.4Answer to Practice Exercise
16.5 Gaussian Elimination
POSSIBLE NUMBER OF SOLUTIONSEXERCISES 16.5Answer to Practice Exercise
16.6 Higher-order Determinants
EXPANSION OF A DETERMINANT BY MINORSPROPERTIES OF DETERMINANTSSOLVING SYSTEMS OF LINEAR EQUATIONS BY DETERMINANTSEXERCISES 16.6Answers to Practice Exercises
CHAPTER 16 KEY FORMULAS AND EQUATIONS
CHAPTER 16 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 16 PRACTICE TEST
17 Inequalities
LEARNING OUTCOMES
17.1 Properties of Inequalities
PROPERTIES OF INEQUALITIESEXERCISES 17.1Answers to Practice Exercises
17.2 Solving Linear Inequalities
INEQUALITIES WITH THREE MEMBERSSOLVING AN INEQUALITY WITH A CALCULATOREXERCISES 17.2Answers to Practice Exercises
17.3 Solving Nonlinear Inequalities
SOLVING INEQUALITIES GRAPHICALLYEXERCISES 17.3Answers to Practice Exercises
17.4 Inequalities Involving Absolute Values
EXERCISES 17.4Answers to Practice Exercises
17.5 Graphical Solution of Inequalities with Two Variables
EXERCISES 17.5Answers to Practice Exercises
17.6 Linear Programming
EXERCISES 17.6Answers to Practice Exercise
CHAPTER 17 KEY FORMULAS AND EQUATIONS
CHAPTER 17 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 17 PRACTICE TEST
18 Variation
LEARNING OUTCOMES
18.1 Ratio and Proportion
Exercises 18.1Answers to Practice Exercises
18.2 Variation
CALCULATING THE CONSTANT OF PROPORTIONALITYExercises 18.2Answers to Practice Exercises
CHAPTER 18 KEY FORMULAS AND EQUATIONS
CHAPTER 18 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 18 PRACTICE TEST
19 Sequences and the Binomial Theorem
LEARNING OUTCOMES
19.1 Arithmetic Sequences
SUM OF n TERMSEXERCISES 19.1Answers to Practice Exercises
19.2 Geometric Sequences
SUM OF n TERMSEXERCISES 19.2Answers to Practice Exercises
19.3 Infinite Geometric Series
EXERCISES 19.3Answers to Practice Exercises
19.4 The Binomial Theorem
THE BINOMIAL FORMULAPASCAL’S TRIANGLEEXERCISES 19.4Answers to Practice Exercises
CHAPTER 19 KEY FORMULAS AND EQUATIONS
CHAPTER 19 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 19 PRACTICE TEST
20 Additional Topics in Trigonometry
LEARNING OUTCOMES
20.1 Fundamental Trigonometric Identities
BASIC IDENTITIESPROVING TRIGONOMETRIC IDENTITIESEXERCISES 20.1Answers to Practice Exercises
20.2 The Sum and Difference Formulas
EXERCISES 20.2Answers to Practice Exercises
20.3 Double-Angle Formulas
EXERCISES 20.3Answers to Practice Exercises
20.4 Half-Angle Formulas
EXERCISES 20.4Answers to Practice Exercises
20.5 Solving Trigonometric Equations
GRAPHICAL SOLUTIONSEXERCISES 20.5Answers to Practice Exercises
20.6 The Inverse Trigonometric Functions
EXERCISES 20.6Answers to Practice Exercises
CHAPTER 20 KEY FORMULAS AND EQUATIONS
CHAPTER 20 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 20 PRACTICE TEST
21 Plane Analytic Geometry
LEARNING OUTCOMES
21.1 Basic Definitions
THE DISTANCE FORMULATHE SLOPE OF A LINEExercises 21.1Answers to Practice Exercises
21.2 The Straight Line
EXERCISES 21.2Answers to Practice Exercises
21.3 The Circle
SymmetryExercises 21.3Answers to Practice Exercises
21.4 The Parabola
Exercises 21.4Answers to Practice Exercises
21.5 The Ellipse
Exercises 21.5Answers to Practice Exercises
21.6 The Hyperbola
Exercises 21.6Answers to Practice Exercises
21.7 Translation of Axes
Exercises 21.7Answer to Practice Exercise
21.8 The Second-degree Equation
Exercises 21.8Answers to Practice Exercises
21.9 Rotation of Axes
Exercises 21.9Answers to Practice Exercises
21.10 Polar Coordinates
POLAR AND RECTANGULAR COORDINATESExercises 21.10Answers to Practice Exercises
21.11 Curves in Polar Coordinates
Exercises 21.11Answers to Practice Exercises
CHAPTER 21 KEY FORMULAS AND EQUATIONS
CHAPTER 21 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 21 PRACTICE TEST
22 Introduction to Statistics
LEARNING OUTCOMES
22.1 Graphical Displays of Data
GRAPHS FOR QUALITATIVE DATAGRAPHS FOR QUANTITATIVE DATAEXERCISES 22.1
22.2 Measures of Central Tendency
EXERCISES 22.2Answers to Practice Exercises
22.3 Standard Deviation
EXERCISES 22.3Answer to Practice Exercise
22.4 Normal Distributions
THE SAMPLING DISTRIBUTION OF x̄EXERCISES 22.4Answer to Practice Exercises
22.5 Statistical Process Control
CONTROL CHARTSEXERCISES 22.5Answers to Practice Exercises
22.6 Linear Regression
MEASURING THE STRENGTH OF LINEAR CORRELATION: r and r2EXERCISES 22.6
22.7 Nonlinear Regression
EXERCISES 22.7
CHAPTER 22 KEY FORMULAS AND EQUATIONS
CHAPTER 22 REVIEW EXERCISES
CONCEPT CHECK EXERCISESPRACTICE AND APPLICATIONS
CHAPTER 22 PRACTICE TEST
APPENDIX A Solving Word Problems
RISERS
APPENDIX B Units of Measurement
Photo Credits
Answers to Odd-Numbered Exercises and Chapter Review Exercises
Exercises 1.1, page 5
Exercises 1.2, page 10
Exercises 1.3, page 16
Exercises 1.4, page 22
Exercises 1.5, page 26
Exercises 1.6, page 28
Exercises 1.7, page 33
Exercises 1.8, page 35
Exercises 1.9, page 38
Exercises 1.10, page 42
Exercises 1.11, page 44
Exercises 1.12, page 48
Review Exercises for Chapter 1, page 50
Concept Check Exercises
Practice and Application
Exercises 2.1, page 57
Exercises 2.2, page 63
Exercises 2.3, page 67
Exercises 2.4, page 70
Exercises 2.5, page 75
Exercises 2.6, page 78
Review Exercises for Chapter 2, page 81
Concept Check Exercises
Practice and Applications
Exercises 3.1, page 88
Exercises 3.2, page 92
Exercises 3.3, page 95
Exercises 3.4, page 100
Exercises 3.5, page 106
Exercises 3.6, page 109
Review Exercises for Chapter 3, page 110
Concept Check Exercises
Practice and Applications
Review Exercises for Chapter 4, page 135
Concept Check Exercises
Practice and Applications
Exercises 5.1, page 146
Exercises 5.2, page 150
Exercises 5.3, page 157
Exercises 5.4, Page 163
Exercises 5.5, page 167
Exercises 5.6, page 173
Review Exercises for Chapter 5, page 175
Concept Check Exercises
Practice and Applications
Exercises 6.1, page 185
Exercises 6.2, page 192
Exercises 6.3, page 194
Exercises 6.4, page 198
Exercises 6.5, page 203
Exercises 6.6, page 208
Exercises 6.7, page 213
Review Exercises for Chapter 6, page 215
Concept Check Exercises
Practice and Applications
Exercises 7.1, page 224
Exercises 7.2, page 227
Exercises 7.3, page 230
Exercises 7.4, page 235
Review Exercises for Chapter 7, page 237
Concept Check Exercises
Practice and Applications
Exercises 8.1, page 243
Exercises 8.2, page 248
Exercises 8.3, page 252
Exercises 8.4, page 257
Review Exercises for Chapter 8, page 260
Concept Check Exercises
Practice and Applications
Exercises 9.1, page 267
Exercises 9.2, page 270
Exercises 9.3, page 276
Exercises 9.4, page 281
Exercises 9.5, page 288
Exercises 9.6, page 293
Review Exercises for Chapter 9, page 295
Concept Check Exercises
Practice and Applications
Exercises 10.1, page 302
Exercises 10.2, page 305
Exercises 10.3, page 309
Exercises 10.4, page 312
Exercises 10.5, page 314
Exercises 10.6, page 318
Review Exercises for Chapter 10, page 320
Concept Check Exercises
Practice and Applications
Exercises 11.1, page 327
Exercises 11.2, page 331
Exercises 11.3, page 335
Exercises 11.4, page 338
Exercises 11.5, page 341
Review Exercises for Chapter 11, page 343
Concept Check Exercises
Practice and Applications
Exercises 12.1, page 348
Exercises 12.2, page 351
Exercises 12.3, page 353
Exercises 12.4, page 356
Exercises 12.5, page 358
Exercises 12.6, page 363
Exercises 12.7, page 369
Review Exercises for Chapter 12, page 371
Concept Check Exercises
Practice and Applications
Exercises 13.1, page 375
Exercises 13.2, page 379
Exercises 13.3, page 384
Exercises 13.4, page 387
Exercises 13.5, page 390
Exercises 13.6, page 394
Exercises 13.7, page 398
Review Exercises for Chapter 13, page 400
Concept Check Exercises
Practice and Applications
Exercises 14.1, page 406
Exercises 14.2, page 409
Exercises 14.3, page 413
Exercises 14.4, page 417
Review Exercises for Chapter 14, page 418
Concept Check Exercises
Practice and Applications
Exercises 15.1, page 425
Exercises 15.2, page 430
Exercises 15.3, page 435
Review Exercises for Chapter 15, page 436
Concept Check Exercises
Practice and Applications
Exercises 16.1, page 443
Exercises 16.2, page 447
Exercises 16.3, page 452
Exercises 16.4, page 456
Exercises 16.5, page 460
Exercises 16.6, page 464
Review Exercises for Chapter 16, page 466
Concept Check Exercises
Practice and Applications
Exercises 17.1, page 474
Exercises 17.2, page 479
Exercises 17.3, page 484
Exercises 17.4, page 488
Exercises 17.5, page 491
Exercises 17.6, page 495
Review Exercises for Chapter 17, page 496
Concept Check Exercises
Practice and Applications
Exercises 18.1, page 502
Exercises 18.2, page 507
Review Exercises for Chapter 18, page 510
Concept Check Exercises
Practice and Applications
Exercises 19.1, page 517
Exercises 19.2, page 521
Exercises 19.3, page 525
Exercises 19.4, page 530
Review Exercises for Chapter 19, page 531
Concept Check Exercises
Practice and Applications
Exercises 20.1, page 541
Exercises 20.2, page 546
Exercises 20.3, page 549
Exercises 20.4, page 553
Exercises 20.5, page 557
Exercises 20.6, page 563
Review Exercises for Chapter 20, page 565
Concept Check Exercises
Practice and Applications
Exercises 21.1, page 572
Exercises 21.2, page 577
Exercises 21.3, page 582
Exercises 21.4, page 586
Exercises 21.5, page 592
Exercises 21.6, page 597
Exercises 21.7, page 601
Exercises 21.8, page 604
Exercises 21.9, page 608
Exercises 21.10, page 611
Exercises 21.11, page 615
Review Exercises for Chapter 21, page 617
Concept Check Exercises
Practice and Applications
Exercises 22.1, page 624
Exercises 22.2, page 629
Exercises 22.3, page 632
Exercises 22.4, page 636
Exercises 22.5, page 641
Exercises 22.6, page 646
Exercises 22.7, page 649
Review Exercises for Chapter 22, page 651
Concept Check Exercises
Practice and Applications
Solutions to Practice Test Problems
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Chapter 18
Chapter 19
Chapter 20
Chapter 21
Chapter 22
INDEX OF APPLICATIONS
Acoustics
Aeronautics
Architecture
Astronomy
Automotive Technology
Biology and Medical Science
Business and Finance
Chemistry
Civil Engineering
Computer
Construction
Design
Electricity and Electronics
Energy Technology
Environmental Science
Fire Science
Geodesy, Geology, Seismology
Hydrodynamics and Hydrostatics
Machine Technology
Materials
Measurement
Meteorology
Motion
General
Rectilinear and Curvilinear
Oscillatory, Rotational, and Vibrational
Navigation
Nuclear and Atomic Physics
Optics
Petroleum
Photography
Physics
Police Science
Refrigeration and Air Conditioning
Space Technology
Statics
Strength of Materials
Surveying
Thermal
Thermodynamics
Wastewater Technology
Index

Overview

For courses in technical and pre-engineering technical programs or other programs for which coverage of basic mathematics is required.

The best-seller in technical mathematics gets an “Oh, wow!” update

The 11th Edition of Basic Technical Mathematics is a bold revision of this classic best-seller. The text now sports an engaging full-color design, and new co-author Rich Evans has introduced a wealth of relevant applications and improvements, many based on user feedback. The text is supported by an all-new online graphing calculator manual, accessible at point-of-use via short URLs. The MyLab™ Math course features hundreds of new algorithmic exercises, tutorial videos, and PowerPoint slides. The text continues to feature a vast number of applications from technical and pre-engineering fields—including computer design, electronics, solar energy, lasers fiber optics, and the environment—and aims to develop students’ understanding of mathematical methods without simply providing a collection of formulas. The authors start the text by establishing a solid background in algebra and trigonometry, recognizing the importance of these topics for success in solving applied problems.

Also available with MyLab Math

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results.

Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The MyLab Math course features hundreds of new algorithmic exercises, tutorial videos, and PowerPoint slides.

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Basic Technical Mathematics, 11th Edition

by Allyn J. Washington, Richard Evans

Overview

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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