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Basic Technical Mathematics with Calculus SI Version - …

Basic Technical Mathematics with CalculusSI 114/02/14 9:25 AMOTHER PEARSON EDUCATION TITLES OF RELATED INTERESTB asic Technical Mathematics , Tenth Edition, by Allyn J. Washington Basic Technical Mathematics with Calculus , Tenth Edition, by Allyn J. Washington Introduction to Technical Mathematics , Fifth Edition, by Allyn J. Washington, Mario F. Triola, and Ellena 214/02/14 9:25 AM TenTh ediTionBasic Technical Mathematics with CalculusSI VersionAllyn J. WashingtonDutchess Community CollegeMichelle Bou 314/02/14 9:25 AMLibrary and Archives Canada Cataloguing in PublicationWashington, Allyn J., author Basic Technical Mathematics with Calculus : SI Version / Allyn J. Washington, Michelle Bou . -- Tenth indexes. ISBN 978-0-13-276283-0 (bound) 1. Mathematics --Textbooks. I. Bou , Michelle, author II.

2 Geometry 55 2.1 Lines and Angles 56 2.2 Triangles 60 2.3 Quadrilaterals 66 2.4 Circles 69 2.5 Measurement of Irregular Areas 74 2.6 Solid Geometric Figures 78 Equations, Review Exercises, and Practice Test 81 3 Functions and Graphs 86 3.1 Introduction to Functions 87 3.2 More about Functions 91 3.3 Rectangular Coordinates 95

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Transcription of Basic Technical Mathematics with Calculus SI Version - …

1 Basic Technical Mathematics with CalculusSI 114/02/14 9:25 AMOTHER PEARSON EDUCATION TITLES OF RELATED INTERESTB asic Technical Mathematics , Tenth Edition, by Allyn J. Washington Basic Technical Mathematics with Calculus , Tenth Edition, by Allyn J. Washington Introduction to Technical Mathematics , Fifth Edition, by Allyn J. Washington, Mario F. Triola, and Ellena 214/02/14 9:25 AM TenTh ediTionBasic Technical Mathematics with CalculusSI VersionAllyn J. WashingtonDutchess Community CollegeMichelle Bou 314/02/14 9:25 AMLibrary and Archives Canada Cataloguing in PublicationWashington, Allyn J., author Basic Technical Mathematics with Calculus : SI Version / Allyn J. Washington, Michelle Bou . -- Tenth indexes. ISBN 978-0-13-276283-0 (bound) 1. Mathematics --Textbooks. I. Bou , Michelle, author II.

2 2014 510 C2014-900075-8 Copyright 2010, 2005, 2000, 1995 Pearson Canada Inc., Toronto, : Michelle SartorExecutive Acquisitions Editor: Cathleen SullivanMarketing Manager: Michelle BishProgram Manager: Patricia CiardulloProject Manager: Kimberley BlakeyDevelopmental Editor: Mary WatMedia Editor: Charlotte Morrison-ReedMedia Producer: Kelly CadetProduction Services: Heidi Allgair, Cenveo Publisher ServicesPermissions Project Manager: Marnie LambPhoto Permissions Research: Chritina Simpson, Q2A/Bill SmithText Permissions Research: Electronic Publishing Services, Director: Zena DenchikCover Designer: Alex LiInterior Designer: Cenveo Publisher ServicesCover Image: Gencho Petkov/ShutterstockCredits and acknowledgments for material borrowed from other sources and reproduced, with permission, in this textbook appear on the appropriate page within the edition published by Pearson Education, Inc.

3 , Upper Saddle River, New Jersey, USA. Copyright 2009 Pearson Education, Inc. This edition is authorized for sale only in you purchased this book outside the United States or Canada, you should be aware that it has been imported without the approval of the publisher or the 2015 Pearson Canada Inc. All rights reserved. Manufactured in the United States of America. This publication is protected by copyright and permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. To obtain permission(s) to use material from this work, please submit a written request to Pearson Canada Inc., Permissions Department, 26 Prince Andrew Place, Don Mills, Ontario, M3C 2T8, or fax your request to 416-447-3126, or submit a request to Permissions Requests at 9 8 7 6 5 4 3 2 1 CKV ISBN 414/02/14 9:25 AMTo Douglas, Julia and Andrea ~Michelle Bou In memory of my loving wife, Millie ~Allyn J.

4 514/02/14 9:25 614/02/14 9:25 AM viiContents1 Basic Algebraic Operations Numbers Fundamental Operations of Algebra Measurement, Calculation, and Approximate Numbers Exponents Scientific Notation Roots and Radicals Addition and Subtraction of Algebraic Expressions Multiplication of Algebraic Expressions Division of Algebraic Expressions Solving Equations Formulas and Literal Equations Applied Word Problems 48 Equations, Review Exercises, and Practice Test 512 geometry Lines and Angles Triangles Quadrilaterals Circles Measurement of Irregular Areas Solid Geometric Figures 78 Equations, Review Exercises.

5 And Practice Test 813 Functions and Graphs Introduction to Functions More about Functions Rectangular Coordinates The Graph of a Function More about Graphs Graphs of Functions Defined by Tables of Data 109 Review Exercises and Practice Test 1124 The Trigonometric Functions Angles Defining the Trigonometric Functions Values of the Trigonometric Functions The Right Triangle Applications of Right Triangles 131 Equations, Review Exercises, and Practice Test 1365 Systems of Linear Equations; Determinants Linear Equations Graphs of Linear Functions Solving Systems of Two Linear Equations in Two Unknowns Graphically Solving Systems of Two Linear Equations in Two Unknowns Algebraically Solving Systems of Two Linear Equations in Two Unknowns by Determinants Solving Systems of Three Linear Equations in Three Unknowns Algebraically Solving Systems of Three Linear Equations in Three Unknowns by Determinants 170 Equations, Review Exercises, and Practice Test 1766 Factoring and Fractions Special Products Factoring.

6 Common Factor and Difference of Squares Factoring Trinomials The Sum and Difference of Cubes Equivalent Fractions Multiplication and Division of Fractions Addition and Subtraction of Fractions Equations Involving Fractions 212 Equations, Review Exercises, and Practice Test 2167 Quadratic Equations Quadratic Equations; Solution by Factoring Completing the Square The Quadratic Formula The Graph of the Quadratic Function 232 Equations, Review Exercises, and Practice Test 236 Preface 714/02/14 9:25 AMviii ConTEnTs8 Trigonometric Functions of Any Angle Signs of the Trigonometric Functions Trigonometric Functions of Any Angle Radians Applications of Radian Measure 253 Equations, Review Exercises, and Practice Test 2609 Vectors and Oblique Triangles Introduction to Vectors Components of Vectors Vector Addition by Components Applications of Vectors Oblique Triangles, the Law of Sines The Law of Cosines 288 Equations, Review Exercises, and Practice Test 29210 Graphs of The Trigonometric Functions Graphs of y = a sin x and y = a cos x Graphs of y = a sin bx and y = a cos bx Graphs of y = a sin (bx + c) and y = a cos (bx + c)

7 Graphs of y = tan x, y = cot x, y = sec x, y = csc x Applications of the Trigonometric Graphs Composite Trigonometric Curves 313 Equations, Review Exercises, and Practice Test 31711 Exponents and Radicals Simplifying Expressions with Integral Exponents Fractional Exponents Simplest Radical Form Addition and Subtraction of Radicals Multiplication and Division of Radicals 335 Equations, Review Exercises, and Practice Test 33912 Complex Numbers Basic Definitions Basic Operations with Complex Numbers Graphical Representation of Complex Numbers Polar Form of a Complex Number Exponential Form of a Complex Number Products, Quotients, Powers, and Roots of Complex Numbers An Application to Alternating-Current (ac) Circuits 361 Equations, Review Exercises, and Practice Test 36613 Exponential and Logarithmic Functions Exponential Functions Logarithmic Functions Properties of Logarithms Logarithms to the Base 10 Natural Logarithms Exponential and Logarithmic Equations Graphs on Logarithmic and Semilogarithmic Paper 392 Equations, Review Exercises, and Practice Test 39614 Additional Types of Equations and Systems of Equations Graphical Solution of Systems of Equations Algebraic Solution of Systems of Equations Equations in Quadratic Form Equations with Radicals 410 Review Exercises and Practice Test 41415 Equations of Higher Degree The Remainder and Factor Theorems.

8 Synthetic Division The Roots of an Equation Rational and Irrational Roots 427 Equations, Review Exercises, and Practice Test 43316 Matrices; Systems of Linear Equations Matrices: Definitions and Basic Operations Multiplication of Matrices Finding the Inverse of a Matrix Matrices and Linear Equations Gaussian Elimination Higher-Order Determinants 457 Equations, Review Exercises, and Practice Test 46317 Inequalities Properties of Inequalities Solving Linear Inequalities Solving Nonlinear Inequalities 814/02/14 9:25 AM ConTEnTs Inequalities Involving Absolute Values Graphical Solution of Inequalities with Two Variables Linear Programming 488 Equations, Review Exercises, and Practice Test 49218 Variation Ratio and Proportion Variation 500 Equations, Review Exercises, and Practice Test 50619 Sequences and The Binomial Theorem Arithmetic Sequences Geometric Sequences Infinite Geometric Series The Binomial Theorem 523 Equations, Review Exercises, and Practice Test 52820 Additional Topics in Trigonometry Fundamental Trigonometric Identities The Sum and Difference Formulas Double-Angle Formulas Half-Angle Formulas Solving Trigonometric Equations The Inverse Trigonometric Functions 553 Equations, Review Exercises.

9 And Practice Test 55821 Plane Analytic geometry Basic Definitions The Straight Line The Circle The Parabola The Ellipse The Hyperbola Translation of Axes The Second-Degree Equation Rotation of Axes Polar Coordinates Curves in Polar Coordinates 606 Equations, Review Exercises, and Practice Test 61022 Introduction to Statistics Tabular and Graphical Representation of Data Summarizing Data Normal Distributions Confidence Intervals Statistical Process Control Linear Regression Nonlinear Regression 651 Equations, Review Exercises, and Practice Test 65423 The Derivative Limits The Slope of a Tangent to a Curve The Derivative The Derivative as an Instantaneous Rate of Change Derivatives of Polynomials Derivatives of Products and Quotients of Functions The Derivative of a Power of a Function Differentiation of Implicit Functions Higher Derivatives 702 Equations, Review Exercises, and Practice Test 70624 Applications of the Derivative Tangents and Normals Newton s Method for Solving Equations Curvilinear Motion Related Rates Using Derivatives in Curve Sketching More on Curve Sketching Applied Maximum and Minimum Problems Differentials and Linear Approximations 743 Equations, Review Exercises.

10 And Practice Test 74725 Integration Antiderivatives The Indefinite Integral The Area Under a Curve The Definite Integral Numerical Integration: The Trapezoidal Rule Simpson s Rule 771 Equations, Review Exercises, and Practice Test 77426 Applications of Integration Applications of the Indefinite Integral Areas by Integration 914/02/14 9:25 AMx Volumes by Integration Centroids Moments of Inertia Other Applications 804 Equations, Review Exercises, and Practice Test 80927 Differentiation of Transcendental Functions Derivatives of the Sine and Cosine Functions Derivatives of the Other Trigonometric Functions Derivatives of the Inverse Trigonometric Functions Applications Derivative of the Logarithmic Function Derivative of the Exponential Function L Hospital s Rule Applications 841 Equations, Review Exercises.


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