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Triangle Circle Circular Cylinder P 5 a 1 b 11 cc C 5 2pr L 5 2prh 1 A 5 pr2 T 5 2pr (r 1 h)) A 5 bh 2 V 5 pr2h © Cengage Learning 2013 Square P 5 4s A 5 s2 © Cengage Learning 2013 © Cengage Learning 2013 Rectangular Prism L 5 2h(l 1 w) © Cengage Learning 2013 Rectangle T 5 2(lw 1 lh 1 hw) Pyramid P 5 2(a 1 b) V 5 lwh 1 A 5 ab L 5 ps 2 1 T 5 ps 1 B 2 1 © Cengage Learning 2013 V 5 Bh © Cengage Learning 2013 3 Rhombus P 5 4s Cube A 5 sh L 5 4s2 T 5 6s2 V 5 s3 © Cengage Learning 2013 Circular Cone L 5 prs T 5 pr(r 11 ss)) © Cengage Learning 2013 1 © Cengage Learning 2013 V 5 pr2hh 3 Parallelogram P 5 2(a 1 b) Prism A 5 bh L 5 ph T 5 ph 1 2B V 5 Bh (B 5 area of base) © Cengage Learning 2013 © Cengage Learning 2013 Trapezoid P 5 a 1 b 1 c 1 b Sphere 1 2 T 5 4pr2 1 A 5 2 (b1 1 b2)h V 5 4pr3 3 © Cengage Learning 2013 © Cengage Learning 2013 © Cengage Learning 2013 (cid:67)(cid:111)(cid:112)(cid:121)(cid:114)(cid:105)(cid:103)(cid:104)(cid:116)(cid:32)(cid:50)(cid:48)(cid:49)(cid:49)(cid:32)(cid:67)(cid:101)(cid:110)(cid:103)(cid:97)(cid:103)(cid:101)(cid:32)(cid:76)(cid:101)(cid:97)(cid:114)(cid:110)(cid:105)(cid:110)(cid:103)(cid:44)(cid:32)(cid:73)(cid:110)(cid:99)(cid:46)(cid:32)(cid:65)(cid:108)(cid:108)(cid:32)(cid:82)(cid:105)(cid:103)(cid:104)(cid:116)(cid:115)(cid:32)(cid:82)(cid:101)(cid:115)(cid:101)(cid:114)(cid:118)(cid:101)(cid:100)(cid:46)(cid:32)(cid:77)(cid:97)(cid:121)(cid:32)(cid:110)(cid:111)(cid:116)(cid:32)(cid:98)(cid:101)(cid:32)(cid:99)(cid:111)(cid:112)(cid:105)(cid:101)(cid:100)(cid:44)(cid:32)(cid:115)(cid:99)(cid:97)(cid:110)(cid:110)(cid:101)(cid:100)(cid:44)(cid:32)(cid:111)(cid:114)(cid:32)(cid:100)(cid:117)(cid:112)(cid:108)(cid:105)(cid:99)(cid:97)(cid:116)(cid:101)(cid:100)(cid:44)(cid:32)(cid:105)(cid:110)(cid:32)(cid:119)(cid:104)(cid:111)(cid:108)(cid:101)(cid:32)(cid:111)(cid:114)(cid:32)(cid:105)(cid:110)(cid:32)(cid:112)(cid:97)(cid:114)(cid:116)(cid:46) DESIGN SERVICES OF # 107448 Cust: Cengage Au: Peterson Pg. No. 2 C/K S4-CARLISLE 9781111540463_IFC.inTdidt l e2: Technical Mathematics Server: Short / Normal Publishing Services 16/11/11 8:47 PM Nonvertical line, slope m y 5 x3 4p(y 2 k) 5 (x 2 h)2, p . 0 © Cengage Learning 2013 © Cengage Learning 2013 © Cengage Learning 2013 x 2 h 2 y 2 k 2 1 5 1, a . b a2 b2 y 5 x 1 2 1 2 Horizontal line, vertical line ! © Cengage Learning 2013 © Cengage Learning 2013 y 5 bx, b . 0, b  1 x 2 h 2 1 y 2 k 2 5 1 © Cengage Learning 2013 a2 b2 1 2 1 2 Distance formula, slope m of a nonvertical line © Cengage Learning 2013 © Cengage Learning 2013 y 5 sin x y 5 log x, b . 1 b © Cengage Learning 2013 © Cengage Learning 2013 y 5 cos x y 5 x2 © Cengage Learning 2013 © Cengage Learning 2013 (x 2 h)2 1 (y 2 k)2 5 r2 y 5 tan x © Cengage Learning 2013 © Cengage Learning 2013 © Cengage Learning 2013 (cid:67)(cid:111)(cid:112)(cid:121)(cid:114)(cid:105)(cid:103)(cid:104)(cid:116)(cid:32)(cid:50)(cid:48)(cid:49)(cid:49)(cid:32)(cid:67)(cid:101)(cid:110)(cid:103)(cid:97)(cid:103)(cid:101)(cid:32)(cid:76)(cid:101)(cid:97)(cid:114)(cid:110)(cid:105)(cid:110)(cid:103)(cid:44)(cid:32)(cid:73)(cid:110)(cid:99)(cid:46)(cid:32)(cid:65)(cid:108)(cid:108)(cid:32)(cid:82)(cid:105)(cid:103)(cid:104)(cid:116)(cid:115)(cid:32)(cid:82)(cid:101)(cid:115)(cid:101)(cid:114)(cid:118)(cid:101)(cid:100)(cid:46)(cid:32)(cid:77)(cid:97)(cid:121)(cid:32)(cid:110)(cid:111)(cid:116)(cid:32)(cid:98)(cid:101)(cid:32)(cid:99)(cid:111)(cid:112)(cid:105)(cid:101)(cid:100)(cid:44)(cid:32)(cid:115)(cid:99)(cid:97)(cid:110)(cid:110)(cid:101)(cid:100)(cid:44)(cid:32)(cid:111)(cid:114)(cid:32)(cid:100)(cid:117)(cid:112)(cid:108)(cid:105)(cid:99)(cid:97)(cid:116)(cid:101)(cid:100)(cid:44)(cid:32)(cid:105)(cid:110)(cid:32)(cid:119)(cid:104)(cid:111)(cid:108)(cid:101)(cid:32)(cid:111)(cid:114)(cid:32)(cid:105)(cid:110)(cid:32)(cid:112)(cid:97)(cid:114)(cid:116)(cid:46) DESIGN SERVICES OF # 107448 Cust: Cengage Au: Peterson Pg. No. 3 C/K S4-CARLISLE 9781111540463_IFC.indd 3 16/11/11 8:47 PM Title: Technical Mathematics Server: Short / Normal Publishing Services Technical MaTheMaTics 4th Edition (cid:67)(cid:111)(cid:112)(cid:121)(cid:114)(cid:105)(cid:103)(cid:104)(cid:116)(cid:32)(cid:50)(cid:48)(cid:49)(cid:49)(cid:32)(cid:67)(cid:101)(cid:110)(cid:103)(cid:97)(cid:103)(cid:101)(cid:32)(cid:76)(cid:101)(cid:97)(cid:114)(cid:110)(cid:105)(cid:110)(cid:103)(cid:44)(cid:32)(cid:73)(cid:110)(cid:99)(cid:46)(cid:32)(cid:65)(cid:108)(cid:108)(cid:32)(cid:82)(cid:105)(cid:103)(cid:104)(cid:116)(cid:115)(cid:32)(cid:82)(cid:101)(cid:115)(cid:101)(cid:114)(cid:118)(cid:101)(cid:100)(cid:46)(cid:32)(cid:77)(cid:97)(cid:121)(cid:32)(cid:110)(cid:111)(cid:116)(cid:32)(cid:98)(cid:101)(cid:32)(cid:99)(cid:111)(cid:112)(cid:105)(cid:101)(cid:100)(cid:44)(cid:32)(cid:115)(cid:99)(cid:97)(cid:110)(cid:110)(cid:101)(cid:100)(cid:44)(cid:32)(cid:111)(cid:114)(cid:32)(cid:100)(cid:117)(cid:112)(cid:108)(cid:105)(cid:99)(cid:97)(cid:116)(cid:101)(cid:100)(cid:44)(cid:32)(cid:105)(cid:110)(cid:32)(cid:119)(cid:104)(cid:111)(cid:108)(cid:101)(cid:32)(cid:111)(cid:114)(cid:32)(cid:105)(cid:110)(cid:32)(cid:112)(cid:97)(cid:114)(cid:116)(cid:46) DESIGN SERVICES OF # 107448 Cust: Cengage Au: Peterson Pg. No. i C/K S4-CARLISLE 40463_FM_ptg01_hr_i-xx.indd 1 16/11/11 9:05 PM Title: Technical Mathematics Server: Short / Normal Publishing Services (cid:67)(cid:111)(cid:112)(cid:121)(cid:114)(cid:105)(cid:103)(cid:104)(cid:116)(cid:32)(cid:50)(cid:48)(cid:49)(cid:49)(cid:32)(cid:67)(cid:101)(cid:110)(cid:103)(cid:97)(cid:103)(cid:101)(cid:32)(cid:76)(cid:101)(cid:97)(cid:114)(cid:110)(cid:105)(cid:110)(cid:103)(cid:44)(cid:32)(cid:73)(cid:110)(cid:99)(cid:46)(cid:32)(cid:65)(cid:108)(cid:108)(cid:32)(cid:82)(cid:105)(cid:103)(cid:104)(cid:116)(cid:115)(cid:32)(cid:82)(cid:101)(cid:115)(cid:101)(cid:114)(cid:118)(cid:101)(cid:100)(cid:46)(cid:32)(cid:77)(cid:97)(cid:121)(cid:32)(cid:110)(cid:111)(cid:116)(cid:32)(cid:98)(cid:101)(cid:32)(cid:99)(cid:111)(cid:112)(cid:105)(cid:101)(cid:100)(cid:44)(cid:32)(cid:115)(cid:99)(cid:97)(cid:110)(cid:110)(cid:101)(cid:100)(cid:44)(cid:32)(cid:111)(cid:114)(cid:32)(cid:100)(cid:117)(cid:112)(cid:108)(cid:105)(cid:99)(cid:97)(cid:116)(cid:101)(cid:100)(cid:44)(cid:32)(cid:105)(cid:110)(cid:32)(cid:119)(cid:104)(cid:111)(cid:108)(cid:101)(cid:32)(cid:111)(cid:114)(cid:32)(cid:105)(cid:110)(cid:32)(cid:112)(cid:97)(cid:114)(cid:116)(cid:46) DESIGN SERVICES OF # 107448 Cust: Cengage Au: Peterson Pg. No. ii C/K S4-CARLISLE 40463_FM_ptg01_hr_i-Txxit.ilned:d T e2chnical Mathematics Server: Short / Normal Publishing Services 16/11/11 9:05 PM T e c h n i c a l M aT h e M aT i c s 4th Edition John C. PEtErson Chattanooga state technical Community College Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States (cid:67)(cid:111)(cid:112)(cid:121)(cid:114)(cid:105)(cid:103)(cid:104)(cid:116)(cid:32)(cid:50)(cid:48)(cid:49)(cid:49)(cid:32)(cid:67)(cid:101)(cid:110)(cid:103)(cid:97)(cid:103)(cid:101)(cid:32)(cid:76)(cid:101)(cid:97)(cid:114)(cid:110)(cid:105)(cid:110)(cid:103)(cid:44)(cid:32)(cid:73)(cid:110)(cid:99)(cid:46)(cid:32)(cid:65)(cid:108)(cid:108)(cid:32)(cid:82)(cid:105)(cid:103)(cid:104)(cid:116)(cid:115)(cid:32)(cid:82)(cid:101)(cid:115)(cid:101)(cid:114)(cid:118)(cid:101)(cid:100)(cid:46)(cid:32)(cid:77)(cid:97)(cid:121)(cid:32)(cid:110)(cid:111)(cid:116)(cid:32)(cid:98)(cid:101)(cid:32)(cid:99)(cid:111)(cid:112)(cid:105)(cid:101)(cid:100)(cid:44)(cid:32)(cid:115)(cid:99)(cid:97)(cid:110)(cid:110)(cid:101)(cid:100)(cid:44)(cid:32)(cid:111)(cid:114)(cid:32)(cid:100)(cid:117)(cid:112)(cid:108)(cid:105)(cid:99)(cid:97)(cid:116)(cid:101)(cid:100)(cid:44)(cid:32)(cid:105)(cid:110)(cid:32)(cid:119)(cid:104)(cid:111)(cid:108)(cid:101)(cid:32)(cid:111)(cid:114)(cid:32)(cid:105)(cid:110)(cid:32)(cid:112)(cid:97)(cid:114)(cid:116)(cid:46) DESIGN SERVICES OF # 107448 Cust: Cengage Au: Peterson Pg. No. iii C/K S4-CARLISLE 40463_FM_ptg01_hr_i-xx.indd 3 17/11/11 3:25 PM Title: Technical Mathematics Server: Short / Normal Publishing Services This is an electronic sample of the print textbook. The publisher reserves the right to remove content from this title at any time if subsequent rights restrictions require it. For valuable information on pricing, previous editions, changes to current editions and alternate formats, please visit www.cengage.com/highered to search by ISBN#, author, title, or keyword for materials in your areas of interest. Copyright 2011 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Technical Mathematics, 4th Edition © 2013, 2004, 1997, 1994 Delmar, Cengage Learning John C. Peterson ALL RIGHTS RESERVED. No part of this work covered by the copyright herein Vice President, Editorial: Dave Garza may be reproduced, transmitted, stored, or used in any form or by any means graphic, electronic, or mechanical, including but not limited to photocopying, Director of Learning Solutions: Sandy Clark recording, scanning, digitizing, taping, Web distribution, information networks, Acquisitions Editor: Stacy Masucci or information storage and retrieval systems, except as permitted under Managing Editor: Larry Main Section 107 or 108 of the 1976 United States Copyright Act, without the prior written permission of the publisher. 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Printed in the United States of America 1 2 3 4 5 6 7 16 15 14 13 12 (cid:67)(cid:111)(cid:112)(cid:121)(cid:114)(cid:105)(cid:103)(cid:104)(cid:116)(cid:32)(cid:50)(cid:48)(cid:49)(cid:49)(cid:32)(cid:67)(cid:101)(cid:110)(cid:103)(cid:97)(cid:103)(cid:101)(cid:32)(cid:76)(cid:101)(cid:97)(cid:114)(cid:110)(cid:105)(cid:110)(cid:103)(cid:44)(cid:32)(cid:73)(cid:110)(cid:99)(cid:46)(cid:32)(cid:65)(cid:108)(cid:108)(cid:32)(cid:82)(cid:105)(cid:103)(cid:104)(cid:116)(cid:115)(cid:32)(cid:82)(cid:101)(cid:115)(cid:101)(cid:114)(cid:118)(cid:101)(cid:100)(cid:46)(cid:32)(cid:77)(cid:97)(cid:121)(cid:32)(cid:110)(cid:111)(cid:116)(cid:32)(cid:98)(cid:101)(cid:32)(cid:99)(cid:111)(cid:112)(cid:105)(cid:101)(cid:100)(cid:44)(cid:32)(cid:115)(cid:99)(cid:97)(cid:110)(cid:110)(cid:101)(cid:100)(cid:44)(cid:32)(cid:111)(cid:114)(cid:32)(cid:100)(cid:117)(cid:112)(cid:108)(cid:105)(cid:99)(cid:97)(cid:116)(cid:101)(cid:100)(cid:44)(cid:32)(cid:105)(cid:110)(cid:32)(cid:119)(cid:104)(cid:111)(cid:108)(cid:101)(cid:32)(cid:111)(cid:114)(cid:32)(cid:105)(cid:110)(cid:32)(cid:112)(cid:97)(cid:114)(cid:116)(cid:46) DESIGN SERVICES OF # 107448 Cust: Cengage Au: Peterson Pg. No. iv C/K S4-CARLISLE 40463_FM_ptg01_hr_i-Txxit.ilned:d T e4chnical Mathematics Server: Short / Normal Publishing Services 17/11/11 3:25 PM cOnTenTs Preface 0 xii chaPTeR 1 The Real number system 1 1.1 some sets and Basic Laws of real numbers 0 2 1.2 Basic operations with real numbers 0 21 1.3 Exponents and roots 0 38 1.4 significant Digits and rounding off 0 49 1.5 scientific and Engineering notation 0 57 ChaPtEr 1 rEviEw 0 67 ChaPtEr 1 tEst 0 69 chaPTeR 2 algebraic concepts and Operations 70 2.1 addition and subtraction 0 71 2.2 Multiplication 0 77 2.3 Division 0 83 2.4 solving Equations 0 90 2.5 Dimensional analysis 0 99 2.6 applications of Equations 0 104 ChaPtEr 2 rEviEw 0 116 ChaPtEr 2 tEst 0 118 chaPTeR 3 Geometry 120 3.1 Lines, angles, and triangles 0 121 3.2 other Polygons 0 134 3.3 Circles 0 141 3.4 the area of irregular shapes 0 148 3.5 Geometric solids 0 155 3.6 similar Geometric shapes 0 167 ChaPtEr 3 rEviEw 0 173 ChaPtEr 3 tEst 0 177 v (cid:67)(cid:111)(cid:112)(cid:121)(cid:114)(cid:105)(cid:103)(cid:104)(cid:116)(cid:32)(cid:50)(cid:48)(cid:49)(cid:49)(cid:32)(cid:67)(cid:101)(cid:110)(cid:103)(cid:97)(cid:103)(cid:101)(cid:32)(cid:76)(cid:101)(cid:97)(cid:114)(cid:110)(cid:105)(cid:110)(cid:103)(cid:44)(cid:32)(cid:73)(cid:110)(cid:99)(cid:46)(cid:32)(cid:65)(cid:108)(cid:108)(cid:32)(cid:82)(cid:105)(cid:103)(cid:104)(cid:116)(cid:115)(cid:32)(cid:82)(cid:101)(cid:115)(cid:101)(cid:114)(cid:118)(cid:101)(cid:100)(cid:46)(cid:32)(cid:77)(cid:97)(cid:121)(cid:32)(cid:110)(cid:111)(cid:116)(cid:32)(cid:98)(cid:101)(cid:32)(cid:99)(cid:111)(cid:112)(cid:105)(cid:101)(cid:100)(cid:44)(cid:32)(cid:115)(cid:99)(cid:97)(cid:110)(cid:110)(cid:101)(cid:100)(cid:44)(cid:32)(cid:111)(cid:114)(cid:32)(cid:100)(cid:117)(cid:112)(cid:108)(cid:105)(cid:99)(cid:97)(cid:116)(cid:101)(cid:100)(cid:44)(cid:32)(cid:105)(cid:110)(cid:32)(cid:119)(cid:104)(cid:111)(cid:108)(cid:101)(cid:32)(cid:111)(cid:114)(cid:32)(cid:105)(cid:110)(cid:32)(cid:112)(cid:97)(cid:114)(cid:116)(cid:46) DESIGN SERVICES OF # 107448 Cust: Cengage Au: Peterson Pg. No. v C/K S4-CARLISLE 40463_FM_ptg01_hr_i-xx.indd 5 16/11/11 9:05 PM Title: Technical Mathematics Server: Short / Normal Publishing Services vi ContEnts chaPTeR 4 Functions and Graphs 179 4.1 relations and Functions 0 180 4.2 operations on Functions; Composite Functions 0 194 4.3 rectangular Coordinates 0 203 4.4 Graphs 0 208 4.5 Calculator Graphs and solving Equations Graphically 0 217 4.6 Using a spreadsheet to Graph and solve Equations Graphically 0 227 4.7 introduction to Modeling 0 240 ChaPtEr 4 rEviEw 0 250 ChaPtEr 4 tEst 0 252 chaPTeR 5 an introduction to Trigonometry and Variation 254 5.1 angles, angle Measure, and trigonometric Functions 0 255 5.2 values of the trigonometric Functions 0 261 5.3 the right triangle 0 268 5.4 trigonometric Functions of any angle 0 276 5.5 applications of trigonometry 0 286 ChaPtEr 5 rEviEw 0 293 ChaPtEr 5 tEst 0 297 chaPTeR 6 systems of linear equations and Determinants 298 6.1 Linear Equations 0 299 6.2 Graphical and algebraic Methods for solving two Linear Equations in two variables 0 309 6.3 algebraic Methods for solving three Linear Equations in three variables 0 317 6.4 Determinants and Cramer’s rule 0 324 ChaPtEr 6 rEviEw 0 339 ChaPtEr 6 tEst 0 341 chaPTeR 7 Factoring and algebraic Fractions 343 7.1 special Products 0 344 7.2 Factoring 0 352 7.3 Factoring trinomials 0 356 (cid:67)(cid:111)(cid:112)(cid:121)(cid:114)(cid:105)(cid:103)(cid:104)(cid:116)(cid:32)(cid:50)(cid:48)(cid:49)(cid:49)(cid:32)(cid:67)(cid:101)(cid:110)(cid:103)(cid:97)(cid:103)(cid:101)(cid:32)(cid:76)(cid:101)(cid:97)(cid:114)(cid:110)(cid:105)(cid:110)(cid:103)(cid:44)(cid:32)(cid:73)(cid:110)(cid:99)(cid:46)(cid:32)(cid:65)(cid:108)(cid:108)(cid:32)(cid:82)(cid:105)(cid:103)(cid:104)(cid:116)(cid:115)(cid:32)(cid:82)(cid:101)(cid:115)(cid:101)(cid:114)(cid:118)(cid:101)(cid:100)(cid:46)(cid:32)(cid:77)(cid:97)(cid:121)(cid:32)(cid:110)(cid:111)(cid:116)(cid:32)(cid:98)(cid:101)(cid:32)(cid:99)(cid:111)(cid:112)(cid:105)(cid:101)(cid:100)(cid:44)(cid:32)(cid:115)(cid:99)(cid:97)(cid:110)(cid:110)(cid:101)(cid:100)(cid:44)(cid:32)(cid:111)(cid:114)(cid:32)(cid:100)(cid:117)(cid:112)(cid:108)(cid:105)(cid:99)(cid:97)(cid:116)(cid:101)(cid:100)(cid:44)(cid:32)(cid:105)(cid:110)(cid:32)(cid:119)(cid:104)(cid:111)(cid:108)(cid:101)(cid:32)(cid:111)(cid:114)(cid:32)(cid:105)(cid:110)(cid:32)(cid:112)(cid:97)(cid:114)(cid:116)(cid:46) DESIGN SERVICES OF # 107448 Cust: Cengage Au: Peterson Pg. No. vi C/K S4-CARLISLE 40463_FM_ptg01_hr_i-Txxit.ilned:d T e6chnical Mathematics Server: Short / Normal Publishing Services 16/11/11 9:05 PM

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Technical Mathematics PDF

1188 Pages·2012·39.731 MB·English
by  John C. Peterson
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