<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h0" alt="" src="https://files.passeidireto.com/d81b4d46-00e2-45fe-acb7-af1100445b49/bg1.png"></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w2 h0" data-page-no="2"><div class="pc pc2 w2 h0"><img class="bi x0 y0 w1 h0" alt="" src="https://files.passeidireto.com/d81b4d46-00e2-45fe-acb7-af1100445b49/bg2.png"><div class="t m0 x1 h1 y1 ff1 fs0 fc0 sc0 ls6 ws2">Brief Calculus</div><div class="t m0 x1 h2 y2 ff2 fs1 fc0 sc0 ls7 ws3">An Applied Approach</div><div class="t m0 x2 h3 y3 ff1 fs2 fc1 sc0 ls8 ws4">RON LARSON</div><div class="t m0 x2 h4 y4 ff3 fs3 fc1 sc0 ls9 ws5">The Pennsylvania State University</div><div class="t m0 x2 h4 y5 ff3 fs3 fc1 sc0 ls9 ws5">The Behrend College</div><div class="t m0 x2 h4 y6 ff3 fs3 fc1 sc0 ls9 ws5">with the assistance of</div><div class="t m0 x2 h5 y7 ff2 fs4 fc1 sc0 ls0 ws6">DA<span class="_0 blank"></span>VID C. F<span class="_1 blank"></span>AL<span class="_2 blank"></span>VO</div><div class="t m0 x2 h4 y8 ff3 fs3 fc1 sc0 ls9 ws5">The Pennsylvania State University</div><div class="t m0 x2 h4 y9 ff3 fs3 fc1 sc0 ls9 ws5">The Behrend College</div><div class="t m0 x3 h6 ya ff2 fs5 fc2 sc0 lsa ws7">Eighth Edition</div><div class="t m0 x3 h4 yb ff3 fs3 fc1 sc0 ls1">H<span class="fs6 ls2 ws0">OUGHTON </span><span class="ls3">M<span class="fs6 lsb">IFFLIN</span></span></div><div class="t m0 x3 h4 yc ff3 fs3 fc1 sc0 ls4">C<span class="fs6 ls2 ws1">OMP<span class="_3 blank"></span>ANY</span></div><div class="t m0 x3 h4 yd ff3 fs3 fc1 sc0 ls5 ws5">Boston<span class="_4 blank"> </span>New Y<span class="_0 blank"></span>ork</div><div class="t m0 x4 h7 ye ff4 fs7 fc3 sc0 lsc ws8">Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w2 h0" data-page-no="3"><div class="pc pc3 w2 h0"><div class="t m0 x5 h7 yf ff4 fs7 fc1 sc0 lsd wsa">Publisher: Richard Stratton</div><div class="t m0 x5 h7 y10 ff4 fs7 fc1 sc0 lse wsb">Sponsoring Editor: Cathy Cantin</div><div class="t m0 x5 h7 y11 ff4 fs7 fc1 sc0 lsd wsc">Senior Marketing Manager: Jennifer Jones</div><div class="t m0 x5 h7 y12 ff4 fs7 fc1 sc0 lsd wsc">Dev<span class="_3 blank"></span>elopment Editor: Peter Galuardi</div><div class="t m0 x5 h7 y13 ff4 fs7 fc1 sc0 lsd wsc">Art and Design Manager: Jill Haber</div><div class="t m0 x5 h7 y14 ff4 fs7 fc1 sc0 lsd wsc">Cov<span class="_3 blank"></span>er Design Manager:<span class="_5 blank"> </span>Anne S. Katzeff</div><div class="t m0 x5 h7 y15 ff4 fs7 fc1 sc0 lsd wsc">Senior Photo Editor:<span class="_6 blank"> </span>Jennifer Meyer Dare</div><div class="t m0 x5 h7 y16 ff4 fs7 fc1 sc0 lsd wsc">Senior Composition Buyer:<span class="_6 blank"> </span>Chuck Dutton</div><div class="t m0 x5 h7 y17 ff4 fs7 fc1 sc0 lsd wsc">Senior New <span class="_3 blank"></span>T<span class="_3 blank"></span>itle Project Manager:<span class="_6 blank"> </span>P<span class="_3 blank"></span>at O\u2019Neill</div><div class="t m0 x5 h7 y18 ff4 fs7 fc1 sc0 lsd wsd">Editorial Associate:<span class="_6 blank"> </span>Jeannine <span class="_7 blank"> </span>Lawless</div><div class="t m0 x5 h7 y19 ff4 fs7 fc1 sc0 lsd wsd">Marketing Associate:<span class="_8 blank"> </span>Mary <span class="_7 blank"> </span>Legere</div><div class="t m0 x5 h7 y1a ff4 fs7 fc1 sc0 lsd wsd">Editorial Assistant:<span class="_8 blank"> </span>Jill <span class="_7 blank"> </span>Clark</div><div class="t m0 x5 h7 y1b ff4 fs7 fc1 sc0 lsd wsa">Cov<span class="_3 blank"></span>er photo © T<span class="_1 blank"></span>orsten <span class="_3 blank"></span>Andreas Hof<span class="_3 blank"></span>fmann/Getty Images</div><div class="t m0 x5 h7 y1c ff4 fs7 fc1 sc0 lsd wsa">Copyright © 2009 by Houghton Mif<span class="_3 blank"></span>flin Company<span class="_1 blank"></span>. <span class="_3 blank"></span>All rights reserved.</div><div class="t m0 x5 h7 y1d ff4 fs7 fc1 sc0 lsf wse">No part of this work may be reproduced or transmitted in any form or by an<span class="_3 blank"></span>y means, electronic</div><div class="t m0 x5 h7 y1e ff4 fs7 fc1 sc0 lsf wsf">or mechanical, including photocopying and recording, or by any information storage or retrie<span class="_3 blank"></span>v<span class="_3 blank"></span>al</div><div class="t m0 x5 h7 y1f ff4 fs7 fc1 sc0 lsf ws10">system, without the prior written permission of Houghton Mifflin Compan<span class="_3 blank"></span>y unless such </div><div class="t m0 x5 h7 y20 ff4 fs7 fc1 sc0 ls10 ws11">copying is expressly permitted by federal cop<span class="_3 blank"></span>yright law<span class="_1 blank"></span>. <span class="_3 blank"></span>Address inquiries to College</div><div class="t m0 x5 h7 y21 ff4 fs7 fc1 sc0 lsf wsa">Permissions, Houghton Mifflin<span class="_5 blank"> </span>Compan<span class="_3 blank"></span>y<span class="_9 blank"></span>, 222 Berkeley Street, Boston, MA 02116-3764.</div><div class="t m0 x5 h7 y22 ff4 fs7 fc1 sc0 lsd wsa">Printed in the U.S.A.</div><div class="t m0 x5 h7 y23 ff4 fs7 fc1 sc0 lsd wsa">Library of Congress Control Number: 2007925316</div><div class="t m0 x5 h7 y24 ff4 fs7 fc1 sc0 lsd wsa">Instructor\u2019<span class="_9 blank"></span>s examination copy</div><div class="t m0 x5 h7 y25 ff4 fs7 fc1 sc0 lsd ws9">ISBN-10: 0-547-00480-X</div><div class="t m0 x5 h7 y26 ff4 fs7 fc1 sc0 lsd ws9">ISBN-13: 978-0-547-00480-8</div><div class="t m0 x5 h7 y27 ff4 fs7 fc1 sc0 lsd wsa">For orders, use student te<span class="_3 blank"></span>xt ISBNs</div><div class="t m0 x5 h7 y28 ff4 fs7 fc1 sc0 lsd ws9">ISBN-10: 0-618-95847-9</div><div class="t m0 x5 h7 y29 ff4 fs7 fc1 sc0 lsd ws9">ISBN-13: 978-0-618-95847-4</div><div class="t m0 x5 h7 y2a ff4 fs7 fc1 sc0 lsc wsa">123456789\u2013DO<span class="_3 blank"></span>W\u2013<span class="_a blank"> </span>11 10 09 08 07</div><div class="t m0 x4 h7 ye ff4 fs7 fc3 sc0 lsc ws8">Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf4" class="pf w2 h0" data-page-no="4"><div class="pc pc4 w2 h0"><img fetchpriority="low" loading="lazy" class="bi x2 y2b w3 h8" alt="" src="https://files.passeidireto.com/d81b4d46-00e2-45fe-acb7-af1100445b49/bg4.png"><div class="t m0 x6 h9 y2c ff3 fs7 fc1 sc0 lsd ws12">Contents <span class="fs8 ls14">iii</span></div><div class="t m1 x1 h5 y2d ff2 fs4 fc0 sc0 ls15">Contents</div><div class="t m0 x7 ha y2e ff3 fs9 fc1 sc0 ls16 ws1a">A W<span class="_3 blank"></span>ord from the Author (Preface)<span class="_b blank"> </span>vii</div><div class="t m0 x7 ha y2f ff3 fs9 fc1 sc0 ls16 ws1a">A Plan for Y<span class="_1 blank"></span>ou as a Student<span class="_b blank"> </span>ix</div><div class="t m0 x7 ha y30 ff3 fs9 fc1 sc0 ls16 ws13">Features xiii</div><div class="t m0 x7 hb y31 ff1 fsa fc4 sc0 ls17 ws1b">A Precalculus Review<span class="_c blank"> </span><span class="ff5 fc1 lsc">1</span></div><div class="t m0 x7 ha y32 ff1 fs9 fc4 sc0 ls11 ws14">0.1 <span class="ff3 fc1 ls12 ws1c">The Real Number Line and Order<span class="_d blank"> </span>2</span></div><div class="t m0 x7 ha y33 ff1 fs9 fc4 sc0 ls11 ws15">0.2 <span class="ff3 fc1 ls12 ws1c">Absolute V<span class="_9 blank"></span>alue and Distance on the Real Number Line<span class="_e blank"> </span>8</span></div><div class="t m0 x7 ha y34 ff1 fs9 fc4 sc0 ls11 ws15">0.3 <span class="ff3 fc1 ls12 ws1c">Exponents and Radicals<span class="_e blank"> </span>13</span></div><div class="t m0 x7 ha y35 ff1 fs9 fc4 sc0 ls11 ws15">0.4 <span class="ff3 fc1 ls12 ws1a">Factoring Polynomials<span class="_e blank"> </span>19</span></div><div class="t m0 x7 ha y36 ff1 fs9 fc4 sc0 ls11 ws15">0.5 <span class="ff3 fc1 ls12 ws1a">Fractions and Rationalization<span class="_e blank"> </span>25</span></div><div class="t m0 x7 hb y37 ff1 fsa fc4 sc0 ls17 ws1b">Functions, Graphs, and Limits<span class="_f blank"> </span><span class="ff5 fc1 lsc">33</span></div><div class="t m0 x7 ha y38 ff1 fs9 fc4 sc0 ls11 ws15">1.1 <span class="ff3 fc1 ls12 ws1a">The Cartesian Plane and the Distance Formula<span class="_e blank"> </span>34</span></div><div class="t m0 x7 ha y39 ff1 fs9 fc4 sc0 ls11 ws15">1.2 <span class="ff3 fc1 ls12 ws1c">Graphs of Equations<span class="_e blank"> </span>43</span></div><div class="t m0 x7 ha y3a ff1 fs9 fc4 sc0 ls11 ws15">1.3 <span class="ff3 fc1 ls12 ws1c">Lines in the Plane and Slope<span class="_e blank"> </span>56</span></div><div class="t m0 x7 ha y3b ff3 fs9 fc1 sc0 ls13 ws1c">Mid-Chapter Quiz<span class="_e blank"> </span>68</div><div class="t m0 x7 ha y3c ff1 fs9 fc4 sc0 ls11 ws15">1.4 <span class="ff3 fc1 ls13 ws16">Functions 69</span></div><div class="t m0 x7 ha y3d ff1 fs9 fc4 sc0 ls11 ws15">1.5 <span class="ff3 fc1 ls12 ws17">Limits 82</span></div><div class="t m0 x7 ha y3e ff1 fs9 fc4 sc0 ls11 ws15">1.6 <span class="ff3 fc1 ls13 ws18">Continuity 94</span></div><div class="t m0 x7 ha y3f ff3 fs9 fc1 sc0 ls12 ws1c">Chapter 1 Algebra Review<span class="_e blank"> </span>105</div><div class="t m0 x7 ha y40 ff3 fs9 fc1 sc0 ls12 ws1c">Chapter Summary and Study Strategies<span class="_e blank"> </span>107</div><div class="t m0 x7 ha y41 ff3 fs9 fc1 sc0 ls12 ws1c">Review Exercises<span class="_e blank"> </span>109</div><div class="t m0 x7 ha y42 ff3 fs9 fc1 sc0 ls12 ws1c">Chapter T<span class="_1 blank"></span>est<span class="_e blank"> </span>113</div><div class="t m0 x7 hb y43 ff1 fsa fc4 sc0 ls17 ws19">Differentiation <span class="ff5 fc1 lsc">114</span></div><div class="t m0 x7 ha y44 ff1 fs9 fc4 sc0 ls11 ws15">2.1 <span class="ff3 fc1 ls12 ws1a">The Derivative and the Slope of a Graph<span class="_e blank"> </span>115</span></div><div class="t m0 x7 ha y45 ff1 fs9 fc4 sc0 ls11 ws15">2.2 <span class="ff3 fc1 ls12 ws1a">Some Rules for Differentiation<span class="_10 blank"> </span>126</span></div><div class="t m0 x7 ha y46 ff1 fs9 fc4 sc0 ls11 ws15">2.3 <span class="ff3 fc1 ls12 ws1c">Rates of Change: V<span class="_9 blank"></span>elocity and Marginals<span class="_e blank"> </span>138</span></div><div class="t m0 x7 ha y47 ff1 fs9 fc4 sc0 ls11 ws15">2.4 <span class="ff3 fc1 ls12 ws1c">The Product and Quotient Rules<span class="_10 blank"> </span>153</span></div><div class="t m0 x7 ha y48 ff3 fs9 fc1 sc0 ls13 ws1c">Mid-Chapter Quiz<span class="_10 blank"> </span>164</div><div class="t m0 x7 ha y49 ff1 fs9 fc4 sc0 ls11 ws15">2.5 <span class="ff3 fc1 ls13 ws1a">The Chain Rule<span class="_10 blank"> </span>165</span></div><div class="t m0 x7 ha y4a ff1 fs9 fc4 sc0 ls11 ws15">2.6 <span class="ff3 fc1 ls12 ws1a">Higher-Order Derivatives<span class="_10 blank"> </span>174</span></div><div class="t m0 x7 ha y4b ff1 fs9 fc4 sc0 ls11 ws15">2.7 <span class="ff3 fc1 ls12 ws1c">Implicit Differentiation<span class="_10 blank"> </span>181</span></div><div class="t m0 x7 ha y4c ff1 fs9 fc4 sc0 ls11 ws15">2.8 <span class="ff3 fc1 ls12 ws1a">Related Rates<span class="_10 blank"> </span>188</span></div><div class="t m0 x7 ha y4d ff3 fs9 fc1 sc0 ls12 ws1a">Chapter 2 Algebra Review<span class="_10 blank"> </span>196</div><div class="t m0 x7 ha y4e ff3 fs9 fc1 sc0 ls12 ws1a">Chapter Summary and Study Strategies<span class="_10 blank"> </span>198</div><div class="t m0 x7 ha y4f ff3 fs9 fc1 sc0 ls12 ws1a">Review Exercises<span class="_10 blank"> </span>200</div><div class="t m0 x7 ha y50 ff3 fs9 fc1 sc0 ls12 ws1a">Chapter T<span class="_1 blank"></span>est<span class="_e blank"> </span>204</div><div class="t m0 x8 hc y51 ff6 fsb fc2 sc0 ls18 ws8">0 </div><div class="t m0 x8 hc y52 ff6 fsb fc2 sc0 lsc">1</div><div class="t m0 x8 hc y53 ff6 fsb fc2 sc0 lsc">2</div><div class="t m0 x4 h7 ye ff4 fs7 fc3 sc0 lsc ws8">Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf5" class="pf w2 h0" data-page-no="5"><div class="pc pc5 w2 h0"><img fetchpriority="low" loading="lazy" class="bi x9 y54 w4 hd" alt="" src="https://files.passeidireto.com/d81b4d46-00e2-45fe-acb7-af1100445b49/bg5.png"><div class="t m0 x5 h9 y2c ff3 fs8 fc1 sc0 ls14 ws1d">iv <span class="fs7 lsd">Contents</span></div><div class="t m0 x9 hb y55 ff1 fsa fc4 sc0 ls17 ws1b">Applications of the Derivative<span class="_11 blank"> </span><span class="ff5 fc1 lsc">205</span></div><div class="t m0 x9 ha y56 ff1 fs9 fc4 sc0 ls11 ws15">3.1 <span class="ff3 fc1 ls12 ws1c">Increasing and Decreasing Functions<span class="_10 blank"> </span>206</span></div><div class="t m0 x9 ha y57 ff1 fs9 fc4 sc0 ls11 ws15">3.2 <span class="ff3 fc1 ls12 ws1a">Extrema and the First-Derivative T<span class="_1 blank"></span>est<span class="_e blank"> </span>215</span></div><div class="t m0 x9 ha y58 ff1 fs9 fc4 sc0 ls11 ws15">3.3 <span class="ff3 fc1 ls12 ws1a">Concavity and the Second-Derivative T<span class="_1 blank"></span>est<span class="_e blank"> </span>225</span></div><div class="t m0 x9 ha y59 ff1 fs9 fc4 sc0 ls11 ws15">3.4 <span class="ff3 fc1 ls12 ws1c">Optimization Problems<span class="_10 blank"> </span>235</span></div><div class="t m0 x9 ha y5a ff3 fs9 fc1 sc0 ls13 ws1c">Mid-Chapter Quiz<span class="_10 blank"> </span>244</div><div class="t m0 x9 ha y5b ff1 fs9 fc4 sc0 ls11 ws15">3.5 <span class="ff3 fc1 ls12 ws1c">Business and Economics Applications<span class="_10 blank"> </span>245</span></div><div class="t m0 x9 ha y5c ff1 fs9 fc4 sc0 ls11 ws15">3.6 <span class="ff3 fc1 ls12 ws17">Asymptotes 255</span></div><div class="t m0 x9 ha y5d ff1 fs9 fc4 sc0 ls11 ws15">3.7 <span class="ff3 fc1 ls12 ws1a">Curve Sketching: A Summary<span class="_10 blank"> </span>266</span></div><div class="t m0 x9 ha y5e ff1 fs9 fc4 sc0 ls11 ws15">3.8 <span class="ff3 fc1 ls12 ws1c">Differentials and Marginal Analysis<span class="_10 blank"> </span>275</span></div><div class="t m0 x9 ha y5f ff3 fs9 fc1 sc0 ls12 ws1c">Chapter 3 Algebra Review<span class="_10 blank"> </span>283</div><div class="t m0 x9 ha y60 ff3 fs9 fc1 sc0 ls12 ws1c">Chapter Summary and Study Strategies<span class="_10 blank"> </span>285</div><div class="t m0 x9 ha y61 ff3 fs9 fc1 sc0 ls12 ws1c">Review Exercises<span class="_10 blank"> </span>287</div><div class="t m0 x9 ha y62 ff3 fs9 fc1 sc0 ls12 ws1c">Chapter T<span class="_1 blank"></span>est<span class="_e blank"> </span>291</div><div class="t m0 x9 hb y63 ff1 fsa fc4 sc0 ls17 ws1b">Exponential and Logarithmic Functions<span class="_12 blank"> </span><span class="ff5 fc1 lsc">292</span></div><div class="t m0 x9 ha y64 ff1 fs9 fc4 sc0 ls11 ws15">4.1 <span class="ff3 fc1 ls12 ws1c">Exponential Functions<span class="_10 blank"> </span>293</span></div><div class="t m0 x9 ha y65 ff1 fs9 fc4 sc0 ls11 ws15">4.2 <span class="ff3 fc1 ls12 ws1c">Natural Exponential Functions<span class="_10 blank"> </span>299</span></div><div class="t m0 x9 ha y66 ff1 fs9 fc4 sc0 ls11 ws15">4.3 <span class="ff3 fc1 ls12 ws1a">Derivatives of Exponential Functions<span class="_10 blank"> </span>308</span></div><div class="t m0 x9 ha y67 ff3 fs9 fc1 sc0 ls13 ws1a">Mid-Chapter Quiz<span class="_10 blank"> </span>316</div><div class="t m0 x9 ha y68 ff1 fs9 fc4 sc0 ls11 ws15">4.4 <span class="ff3 fc1 ls12 ws1a">Logarithmic Functions<span class="_10 blank"> </span>317</span></div><div class="t m0 x9 ha y69 ff1 fs9 fc4 sc0 ls11 ws15">4.5 <span class="ff3 fc1 ls12 ws1a">Derivatives of Logarithmic Functions<span class="_10 blank"> </span>326</span></div><div class="t m0 x9 ha y6a ff1 fs9 fc4 sc0 ls11 ws15">4.6 <span class="ff3 fc1 ls12 ws1c">Exponential Growth and Decay<span class="_10 blank"> </span>335</span></div><div class="t m0 x9 ha y6b ff3 fs9 fc1 sc0 ls12 ws1c">Chapter 4 Algebra Review<span class="_10 blank"> </span>344</div><div class="t m0 x9 ha y6c ff3 fs9 fc1 sc0 ls12 ws1c">Chapter Summary and Study Strategies<span class="_10 blank"> </span>346</div><div class="t m0 x9 ha y6d ff3 fs9 fc1 sc0 ls12 ws1c">Review Exercises<span class="_10 blank"> </span>348</div><div class="t m0 x9 ha y6e ff3 fs9 fc1 sc0 ls12 ws1c">Chapter T<span class="_1 blank"></span>est<span class="_e blank"> </span>352</div><div class="t m0 x9 hb y6f ff1 fsa fc4 sc0 ls17 ws1b">Integration and Its Applications<span class="_13 blank"> </span><span class="ff5 fc1 lsc">353</span></div><div class="t m0 x9 ha y70 ff1 fs9 fc4 sc0 ls11 ws15">5.1 <span class="ff3 fc1 ls12 ws1a">Antiderivatives and Indefinite Integrals<span class="_10 blank"> </span>354</span></div><div class="t m0 x9 ha y71 ff1 fs9 fc4 sc0 ls11 ws1e">5.2 <span class="ff3 fc1 ls12 ws1c">Integration by Substitution and the </span></div><div class="t m0 xa ha y72 ff3 fs9 fc1 sc0 ls12 ws1c">General Power Rule<span class="_10 blank"> </span>365</div><div class="t m0 x9 ha y73 ff1 fs9 fc4 sc0 ls11 ws15">5.3 <span class="ff3 fc1 ls12 ws1c">Exponential and Logarithmic Integrals<span class="_10 blank"> </span>374</span></div><div class="t m0 x9 ha y74 ff3 fs9 fc1 sc0 ls13 ws1c">Mid-Chapter Quiz<span class="_10 blank"> </span>381</div><div class="t m0 x9 ha y75 ff1 fs9 fc4 sc0 ls11 ws15">5.4 <span class="ff3 fc1 ls12 ws1c">Area and the Fundamental Theorem of Calculus<span class="_10 blank"> </span>382</span></div><div class="t m0 x9 ha y76 ff1 fs9 fc4 sc0 ls11 ws15">5.5 <span class="ff3 fc1 ls12 ws1c">The Area of a Region Bounded by T<span class="_1 blank"></span>wo Graphs<span class="_e blank"> </span>394</span></div><div class="t m0 x9 ha y77 ff1 fs9 fc4 sc0 ls11 ws15">5.6 <span class="ff3 fc1 ls12 ws1a">The Definite Integral as the Limit of a Sum<span class="_10 blank"> </span>403</span></div><div class="t m0 x9 ha y78 ff3 fs9 fc1 sc0 ls12 ws1a">Chapter 5 Algebra Review<span class="_10 blank"> </span>409</div><div class="t m0 x9 ha y79 ff3 fs9 fc1 sc0 ls12 ws1a">Chapter Summary and Study Strategies<span class="_10 blank"> </span>411</div><div class="t m0 x9 ha y7a ff3 fs9 fc1 sc0 ls12 ws1a">Review Exercises<span class="_10 blank"> </span>413</div><div class="t m0 x9 ha y7b ff3 fs9 fc1 sc0 ls12 ws1a">Chapter T<span class="_1 blank"></span>est<span class="_e blank"> </span>417</div><div class="t m0 xb hc y7c ff6 fsb fc2 sc0 ls18 ws8">3 </div><div class="t m0 xb hc y7d ff6 fsb fc2 sc0 lsc">4</div><div class="t m0 xb hc y7e ff6 fsb fc2 sc0 lsc">5</div><div class="t m0 x4 h7 ye ff4 fs7 fc3 sc0 lsc ws8">Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf6" class="pf w2 h0" data-page-no="6"><div class="pc pc6 w2 h0"><img fetchpriority="low" loading="lazy" class="bi x7 y54 w5 hd" alt="" src="https://files.passeidireto.com/d81b4d46-00e2-45fe-acb7-af1100445b49/bg6.png"><div class="t m0 x6 h9 y2c ff3 fs7 fc1 sc0 lsd ws1f">Contents <span class="fs8 lsc">v</span></div><div class="t m0 x7 hb y55 ff1 fsa fc4 sc0 ls17 ws1b">T<span class="_0 blank"></span>echniques of Integration<span class="_14 blank"> </span><span class="ff5 fc1 lsc">418</span></div><div class="t m0 x7 ha y56 ff1 fs9 fc4 sc0 ls11 ws15">6.1 <span class="ff3 fc1 ls12 ws1a">Integration by Parts and Present V<span class="_9 blank"></span>alue<span class="_e blank"> </span>419</span></div><div class="t m0 x7 ha y57 ff1 fs9 fc4 sc0 ls11 ws15">6.2 <span class="ff3 fc1 ls12 ws1a">Partial Fractions and Logistic Growth<span class="_10 blank"> </span>429</span></div><div class="t m0 x7 ha y58 ff1 fs9 fc4 sc0 ls11 ws15">6.3 <span class="ff3 fc1 ls12 ws1c">Integration T<span class="_1 blank"></span>ables<span class="_e blank"> </span>439</span></div><div class="t m0 x7 ha y7f ff3 fs9 fc1 sc0 ls13 ws1c">Mid-Chapter Quiz<span class="_10 blank"> </span>449</div><div class="t m0 x7 ha y80 ff1 fs9 fc4 sc0 ls11 ws15">6.4 <span class="ff3 fc1 ls12 ws1c">Numerical Integration<span class="_10 blank"> </span>450</span></div><div class="t m0 x7 ha y5b ff1 fs9 fc4 sc0 ls11 ws15">6.5 <span class="ff3 fc1 ls12 ws1c">Improper Integrals<span class="_10 blank"> </span>459</span></div><div class="t m0 x7 ha y81 ff3 fs9 fc1 sc0 ls12 ws1c">Chapter 6 Algebra Review<span class="_10 blank"> </span>470</div><div class="t m0 x7 ha y5d ff3 fs9 fc1 sc0 ls12 ws1c">Chapter Summary and Study Strategies<span class="_10 blank"> </span>472</div><div class="t m0 x7 ha y82 ff3 fs9 fc1 sc0 ls12 ws1c">Review Exercises<span class="_10 blank"> </span>474</div><div class="t m0 x7 ha y83 ff3 fs9 fc1 sc0 ls12 ws1c">Chapter T<span class="_1 blank"></span>est<span class="_e blank"> </span>477</div><div class="t m0 x7 hb y84 ff1 fsa fc4 sc0 ls17 ws1b">Functions of Several V<span class="_1 blank"></span>ariables<span class="_15 blank"> </span><span class="ff5 fc1 lsc">478</span></div><div class="t m0 x7 ha y85 ff1 fs9 fc4 sc0 ls11 ws15">7.1 <span class="ff3 fc1 ls12 ws1a">The Three-Dimensional Coordinate System<span class="_10 blank"> </span>479</span></div><div class="t m0 x7 ha y86 ff1 fs9 fc4 sc0 ls11 ws15">7.2 <span class="ff3 fc1 ls12 ws1a">Surfaces in Space<span class="_10 blank"> </span>487</span></div><div class="t m0 x7 ha y87 ff1 fs9 fc4 sc0 ls11 ws15">7.3 <span class="ff3 fc1 ls12 ws1a">Functions of Several V<span class="_9 blank"></span>ariables<span class="_e blank"> </span>496</span></div><div class="t m0 x7 ha y88 ff1 fs9 fc4 sc0 ls11 ws15">7.4 <span class="ff3 fc1 ls12 ws1a">Partial Derivatives<span class="_10 blank"> </span>505</span></div><div class="t m0 x7 ha y89 ff1 fs9 fc4 sc0 ls11 ws15">7.5 <span class="ff3 fc1 ls12 ws1c">Extrema of Functions of T<span class="_1 blank"></span>wo V<span class="_3 blank"></span>ariables<span class="_10 blank"> </span>516</span></div><div class="t m0 x7 ha y8a ff3 fs9 fc1 sc0 ls13 ws1c">Mid-Chapter Quiz<span class="_10 blank"> </span>525</div><div class="t m0 x7 ha y8b ff1 fs9 fc4 sc0 ls11 ws15">7.6 <span class="ff3 fc1 ls12 ws1a">Lagrange Multipliers<span class="_10 blank"> </span>526</span></div><div class="t m0 x7 ha y8c ff1 fs9 fc4 sc0 ls11 ws15">7.7 <span class="ff3 fc1 ls12 ws1a">Least Squares Regression Analysis<span class="_10 blank"> </span>535</span></div><div class="t m0 x7 ha y8d ff1 fs9 fc4 sc0 ls11 ws15">7.8 <span class="ff3 fc1 ls12 ws1c">Double Integrals and Area in the Plane<span class="_10 blank"> </span>545</span></div><div class="t m0 x7 ha y8e ff1 fs9 fc4 sc0 ls11 ws15">7.9 <span class="ff3 fc1 ls12 ws1c">Applications of Double Integrals<span class="_10 blank"> </span>553</span></div><div class="t m0 x7 ha y8f ff3 fs9 fc1 sc0 ls12 ws1c">Chapter 7 Algebra Review<span class="_10 blank"> </span>561</div><div class="t m0 x7 ha y90 ff3 fs9 fc1 sc0 ls12 ws1c">Chapter Summary and Study Strategies<span class="_10 blank"> </span>563</div><div class="t m0 x7 ha y91 ff3 fs9 fc1 sc0 ls12 ws1c">Review Exercises<span class="_10 blank"> </span>565</div><div class="t m0 x7 ha y92 ff3 fs9 fc1 sc0 ls12 ws1c">Chapter T<span class="_1 blank"></span>est<span class="_e blank"> </span>569</div><div class="t m0 x7 hb y6f ff1 fsa fc4 sc0 ls17">Appendices</div><div class="t m0 x7 he y70 ff1 fs8 fc4 sc0 ls19 ws23">Appendix A:<span class="_d blank"> </span><span class="ff7 fc1 ls1a ws24">Alter<span class="_7 blank"> </span>native Intr<span class="_3 blank"></span>oduction to the </span></div><div class="t m0 xc he y93 ff7 fs8 fc1 sc0 ls1a ws24">Fundamental Theorem of Calculus<span class="_d blank"> </span>A1</div><div class="t m0 x7 he y94 ff1 fs8 fc4 sc0 ls19 ws25">Appendix B:<span class="_d blank"> </span><span class="ff7 fc1 ls1a ws20">Formulas A10</span></div><div class="t m0 x7 ha y95 ff1 fs9 fc4 sc0 ls1b ws21">B.1 <span class="ff3 fc1 ls12 ws1c">Differentiation and Integration Formulas<span class="_10 blank"> </span>A10</span></div><div class="t m0 x7 ha y96 ff1 fs9 fc4 sc0 ls1b ws21">B.2 <span class="ff3 fc1 ls12 ws1a">Formulas from Business and Finance<span class="_10 blank"> </span>A14</span></div><div class="t m0 x7 he y97 ff1 fs8 fc4 sc0 ls19 ws25">Appendix C:<span class="_16 blank"> </span><span class="ff7 fc1 ls1c ws26">Differ<span class="_9 blank"></span>ential Equations (web only)*</span></div><div class="t m0 x7 ha y98 ff1 fs9 fc4 sc0 ls1b ws22">C.1 <span class="ff3 fc1 ls12 ws1c">Solutions of Differential Equations</span></div><div class="t m0 x7 ha y99 ff1 fs9 fc4 sc0 ls1b ws22">C.2 <span class="ff3 fc1 ls12 ws1a">Separation of V<span class="_9 blank"></span>ariables</span></div><div class="t m0 x7 ha y9a ff1 fs9 fc4 sc0 ls1b ws22">C.3 <span class="ff3 fc1 ls12 ws1a">First-Order Linear Differential Equations</span></div><div class="t m0 x7 ha y9b ff1 fs9 fc4 sc0 ls1b ws22">C.4 <span class="ff3 fc1 ls12 ws1c">Applications of Differential Equations</span></div><div class="t m0 x7 he y9c ff1 fs8 fc4 sc0 ls19 ws23">Appendix D:<span class="_16 blank"> </span><span class="ff7 fc1 ls1a ws24">Properties and Measur<span class="_9 blank"></span>ement (web only)*</span></div><div class="t m0 x7 ha y9d ff1 fs9 fc4 sc0 ls1b ws21">D.1 <span class="ff3 fc1 ls12 ws1c">Review of Algebra, Geometry<span class="_1 blank"></span>, and T<span class="_9 blank"></span>rigonometry</span></div><div class="t m0 x7 ha y9e ff1 fs9 fc4 sc0 ls1b ws21">D.2 <span class="ff3 fc1 ls12 ws1a">Units of Measurements</span></div><div class="t m0 x7 he y9f ff1 fs8 fc4 sc0 ls19 ws25">Appendix E:<span class="_16 blank"> </span><span class="ff7 fc1 ls1a ws24">Graphing Utility Programs (web only)*</span></div><div class="t m0 x7 ha ya0 ff1 fs9 fc4 sc0 ls1b ws22">E.1 <span class="ff3 fc1 ls12 ws1a">Graphing Utility Programs</span></div><div class="t m0 x7 ha ya1 ff3 fs9 fc1 sc0 ls12 ws1a">Answers to Selected Exercises<span class="_10 blank"> </span>A17</div><div class="t m0 x7 ha ya2 ff3 fs9 fc1 sc0 ls12 ws1a">Answers to Checkpoints<span class="_10 blank"> </span>A91</div><div class="t m0 x7 ha ya3 ff3 fs9 fc1 sc0 ls13 ws18">Index A103</div><div class="t m0 x7 ha ya4 ff3 fs9 fc1 sc0 ls12 ws1a">*Available at the text-specific website at</div><div class="t m0 x7 hf ya5 ff8 fs9 fc1 sc0 ls12">college.hmco.com/pic/larsonBrief8e</div><div class="t m0 x8 hc y7c ff6 fsb fc2 sc0 ls18 ws8">6 </div><div class="t m0 x8 hc ya6 ff6 fsb fc2 sc0 lsc">7</div><div class="t m0 x4 h7 ye ff4 fs7 fc3 sc0 lsc ws8">Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf7" class="pf w2 h0" data-page-no="7"><div class="pc pc7 w2 h0"><div class="t m0 x4 h7 ye ff4 fs7 fc3 sc0 lsc ws8">Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf8" class="pf w2 h0" data-page-no="8"><div class="pc pc8 w2 h0"><img fetchpriority="low" loading="lazy" class="bi x2 ya7 w3 h10" alt="" src="https://files.passeidireto.com/d81b4d46-00e2-45fe-acb7-af1100445b49/bg8.png"><div class="t m0 xd h9 y2c ff3 fs7 fc1 sc0 lsd ws27">A W<span class="_3 blank"></span>ord from the Author<span class="_17 blank"> </span><span class="fs8 ls14">vii</span></div><div class="t m1 x1 h5 y2d ff2 fs4 fc0 sc0 ls1e ws6">A W<span class="_0 blank"></span>ord from the Author</div><div class="t m0 x7 h11 ya8 ff4 fs8 fc1 sc0 ls1f ws28">W<span class="_1 blank"></span>elcome to <span class="ff9 ws29">Brief <span class="_7 blank"> </span>Calculus:<span class="_18 blank"> </span>An Applied Appr<span class="_9 blank"></span>oach<span class="ff4 ws2a">, Eighth Edition. In this </span></span></div><div class="t m0 x7 h11 ya9 ff4 fs8 fc1 sc0 ls1f ws2b">revision, I focused not only on pro<span class="_9 blank"></span>viding a meaningful revision to the text, b<span class="_9 blank"></span>ut</div><div class="t m0 x7 h11 yaa ff4 fs8 fc1 sc0 ls1f ws2c">also a completely integrated learning program. <span class="_1 blank"></span>Applied calculus students are a</div><div class="t m0 x7 h11 yab ff4 fs8 fc1 sc0 ls1f ws2d">di<span class="_3 blank"></span>verse group with v<span class="_9 blank"></span>aried interests and backgrounds. The revision stri<span class="_9 blank"></span>ves to</div><div class="t m0 x7 h11 yac ff4 fs8 fc1 sc0 ls1f ws2e">address the div<span class="_9 blank"></span>ersity and the different learning styles of students. I also aimed to </div><div class="t m0 x7 h11 yad ff4 fs8 fc1 sc0 ls1f ws2f">alle<span class="_3 blank"></span>viate and remov<span class="_3 blank"></span>e obstacles that prev<span class="_9 blank"></span>ent students from mastering the material. </div><div class="t m0 x7 h12 yae ff7 fsa fc4 sc0 ls17 ws30">An Enhanced T<span class="_2 blank"></span>ext</div><div class="t m0 x7 h11 yaf ff4 fs8 fc1 sc0 ls1f ws31">The table of contents was streamlined to enable instructors to spend more time on</div><div class="t m0 x7 h11 yb0 ff4 fs8 fc1 sc0 ls1f ws32">each topic. This added time will gi<span class="_9 blank"></span>ve students a better understanding of the</div><div class="t m0 x7 h11 yb1 ff4 fs8 fc1 sc0 ls1f ws33">concepts and help them to master the material.</div><div class="t m0 xa h11 yb2 ff4 fs8 fc1 sc0 ls1f ws34">Real data and applications were updated, rewritten, and added to address more</div><div class="t m0 x7 h11 yb3 ff4 fs8 fc1 sc0 ls14 ws35">modern topics, and data was gathered from ne<span class="_9 blank"></span>ws sources, current events,</div><div class="t m0 x7 h11 yb4 ff4 fs8 fc1 sc0 ls1f ws36">industry<span class="_1 blank"></span>, world ev<span class="_3 blank"></span>ents, and gov<span class="_3 blank"></span>ernment. Exercises deri<span class="_9 blank"></span>ved from other disciplines\u2019</div><div class="t m0 x7 h11 yb5 ff4 fs8 fc1 sc0 ls1f ws37">textbooks are included to sho<span class="_9 blank"></span>w the relev<span class="_3 blank"></span>ance of the calculus to students\u2019<span class="_5 blank"> </span>majors.</div><div class="t m0 x7 h11 yb6 ff4 fs8 fc1 sc0 ls1f ws38">I hope these changes will gi<span class="_3 blank"></span>ve students a clear picture that the math the<span class="_3 blank"></span>y are</div><div class="t m0 x7 h11 yb7 ff4 fs8 fc1 sc0 ls1f ws33">learning exists be<span class="_3 blank"></span>yond the classroom.</div><div class="t m0 xa h11 yb8 ff4 fs8 fc1 sc0 ls1f ws39">T<span class="_1 blank"></span>wo ne<span class="_3 blank"></span>w chapter tests were added: a <span class="ff9 ws3a">Mid-Chapter Quiz <span class="ff4">and a </span><span class="ws3b">Chapter T<span class="_1 blank"></span>est<span class="ff4 lsc">.</span></span></span></div><div class="t m0 x7 h11 yb9 ff4 fs8 fc1 sc0 ls1f ws3c">The Mid-Chapter quiz giv<span class="_9 blank"></span>es students the opportunity to discover an<span class="_3 blank"></span>y topics they</div><div class="t m0 x7 h11 yba ff4 fs8 fc1 sc0 ls1f ws3d">might need to study further before they progress too f<span class="_3 blank"></span>ar into the chapter<span class="_9 blank"></span>. The</div><div class="t m0 x7 h11 ybb ff4 fs8 fc1 sc0 ls1f ws3e">Chapter T<span class="_1 blank"></span>est allo<span class="_3 blank"></span>ws students to identify and strengthen any weaknesses in</div><div class="t m0 x7 h11 ybc ff4 fs8 fc1 sc0 ls1f ws33">advance of an e<span class="_9 blank"></span>xam.</div><div class="t m0 xa h11 ybd ff4 fs8 fc1 sc0 ls1f ws3f">Se<span class="_3 blank"></span>veral ne<span class="_9 blank"></span>w section-level features were added to promote further mastery of</div><div class="t m0 x7 h11 ybe ff4 fs8 fc1 sc0 ls1f ws33">the concepts.</div><div class="t m0 x7 h11 ybf ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff9 fs8 fc1 ls1f ws40">Concept Checks <span class="ff4">appear at the end of each section, immediately before the </span></span></div><div class="t m0 xe h11 yc0 ff4 fs8 fc1 sc0 ls1f ws41">ex<span class="_3 blank"></span>ercise sets. The<span class="_9 blank"></span>y ask non-computational questions designed to test students\u2019</div><div class="t m0 xe h11 yc1 ff4 fs8 fc1 sc0 ls1f ws33">basic understanding of that sections\u2019<span class="_5 blank"> </span>concepts.</div><div class="t m0 x7 h11 yc2 ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff9 fs8 fc1 ls1f ws42">Make a Decision <span class="ff4">ex<span class="_9 blank"></span>ercises and examples ask open-ended questions that force</span></span></div><div class="t m0 xe h11 yc3 ff4 fs8 fc1 sc0 ls1f ws33">students to apply concepts to real-world situations.</div><div class="t m0 x7 h11 yc4 ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff9 fs8 fc1 ls1f ws43">Extended Applications <span class="ff4 ws44">are more in-depth, applied exercises requiring students</span></span></div><div class="t m0 xe h11 yc5 ff4 fs8 fc1 sc0 ls1f ws45">to work with lar<span class="_3 blank"></span>ge data sets and often in<span class="_9 blank"></span>volve w<span class="_3 blank"></span>ork in creating or analyzing</div><div class="t m0 xe h11 yc6 ff4 fs8 fc1 sc0 ls1f">models.</div><div class="t m0 x7 h11 yc7 ff4 fs8 fc1 sc0 ls1f ws46">I hope the combination of these ne<span class="_3 blank"></span>w features with the existing features will</div><div class="t m0 x7 h11 yc8 ff4 fs8 fc1 sc0 ls1f ws33">promote a deeper understanding of the mathematics.</div><div class="t m0 x7 h12 yc9 ff7 fsa fc4 sc0 ls17 ws30">Enhanced Resources</div><div class="t m0 x7 h11 yca ff4 fs8 fc1 sc0 ls1f ws47">Although the textbook often forms the basis of the course, today\u2019<span class="_1 blank"></span>s students often</div><div class="t m0 x7 h11 ycb ff4 fs8 fc1 sc0 ls1f ws48">find greater v<span class="_9 blank"></span>alue in an integrated text and technology program. <span class="_9 blank"></span>W<span class="_3 blank"></span>ith that in</div><div class="t m0 x7 h11 ycc ff4 fs8 fc1 sc0 ls1f ws49">mind, I worked with the publisher to enhance the online and media resources</div><div class="t m0 x7 h11 ycd ff4 fs8 fc1 sc0 ls1f ws33">av<span class="_9 blank"></span>ailable to students, to provide them with a complete learning program.</div><div class="t m0 x4 h7 ye ff4 fs7 fc3 sc0 lsc ws8">Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf9" class="pf w2 h0" data-page-no="9"><div class="pc pc9 w2 h0"><img fetchpriority="low" loading="lazy" class="bi x9 yce w6 h13" alt="" src="https://files.passeidireto.com/d81b4d46-00e2-45fe-acb7-af1100445b49/bg9.png"><div class="t m0 xf h11 ycf ff4 fs8 fc1 sc0 ls1f ws4c">An HM MathSP<span class="_1 blank"></span>A<span class="_9 blank"></span>CE course has been dev<span class="_3 blank"></span>eloped with dynamic, algorithmic</div><div class="t m0 x9 h11 yd0 ff4 fs8 fc1 sc0 ls1f ws4d">ex<span class="_3 blank"></span>ercises tied to ex<span class="_3 blank"></span>ercises within the text. <span class="_9 blank"></span>These exercises provide students with</div><div class="t m0 x9 h11 yd1 ff4 fs8 fc1 sc0 ls1f ws4e">unlimited practice for complete mastery of the topics.</div><div class="t m0 xf h11 yd2 ff4 fs8 fc1 sc0 ls1f ws4f">An additional resource for the 8th edition is a Multimedia Online eBook. This</div><div class="t m0 x9 h11 yd3 ff4 fs8 fc1 sc0 ls1f ws50">eBook breaks the physical constraints of a traditional text and binds a number of</div><div class="t m0 x9 h11 yd4 ff4 fs8 fc1 sc0 ls1f ws51">multimedia assets and features to the text itself. Based in Flash, students can read</div><div class="t m0 x9 h11 yd5 ff4 fs8 fc1 sc0 ls1f ws52">the text, watch the videos when the<span class="_9 blank"></span>y need extra explanation, vie<span class="_9 blank"></span>w enlarged math</div><div class="t m0 x9 h11 yd6 ff4 fs8 fc1 sc0 ls1f ws53">graphs, and more. The eBook promotes multiple learning styles and pro<span class="_3 blank"></span>vides </div><div class="t m0 x9 h11 yd7 ff4 fs8 fc1 sc0 ls14 ws54">students with an engaging learning experience.</div><div class="t m0 xf h11 yd8 ff4 fs8 fc1 sc0 ls1f ws55">For students who w<span class="_3 blank"></span>ork best in groups or whose schedules don\u2019t allo<span class="_9 blank"></span>w them to</div><div class="t m0 x9 h11 yd9 ff4 fs8 fc1 sc0 ls1f ws56">come to off<span class="_9 blank"></span>ice hours, Calc Chat is now a<span class="_3 blank"></span>v<span class="_3 blank"></span>ailable with this edition. Calc Chat</div><div class="t m0 x9 h11 yda ff4 fs8 fc1 sc0 ls1f ws57">(located at <span class="ff9 lsc ws4a">www<span class="_1 blank"></span>.CalcChat.com<span class="ff4 ls1f ws58">) provides solutions to ex<span class="_3 blank"></span>ercises. Calc Chat also</span></span></div><div class="t m0 x9 h11 ydb ff4 fs8 fc1 sc0 ls1f ws59">has a moderated online forum for students to discuss any issues the<span class="_3 blank"></span>y may be</div><div class="t m0 x9 h11 ydc ff4 fs8 fc1 sc0 ls1f ws33">having with their calculus w<span class="_3 blank"></span>ork.</div><div class="t m0 xf h11 ydd ff4 fs8 fc1 sc0 ls1f ws5a">I hope you enjoy the enhancements made to the eighth edition. I belie<span class="_9 blank"></span>ve the</div><div class="t m0 x9 h11 yde ff4 fs8 fc1 sc0 ls1f ws5b">whole suite of learning options av<span class="_9 blank"></span>ailable to students will enable any student to</div><div class="t m0 x9 h11 ydf ff4 fs8 fc1 sc0 ls1f ws4e">master applied calculus.</div><div class="t m0 x9 h11 ye0 ff4 fs8 fc1 sc0 ls1f ws4e">Ron Larson</div><div class="t m0 x5 h9 ye1 ff3 fs8 fc1 sc0 ls14 ws4b">viii <span class="fs7 lsd ws27">A W<span class="_3 blank"></span>ord from the Author</span></div><div class="t m0 x4 h7 ye ff4 fs7 fc3 sc0 lsc ws8">Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pfa" class="pf w2 h0" data-page-no="a"><div class="pc pca w2 h0"><img fetchpriority="low" loading="lazy" class="bi x2 ya7 w3 h14" alt="" src="https://files.passeidireto.com/d81b4d46-00e2-45fe-acb7-af1100445b49/bga.png"><div class="t m0 x10 h9 ye2 ff3 fs7 fc1 sc0 lsd ws27">A Plan for Y<span class="_1 blank"></span>ou as a Student<span class="_19 blank"> </span><span class="fs8 ls14">ix</span></div><div class="t m0 x2 h12 ye3 ff7 fsa fc4 sc0 ls17 ws5d">Study Strategies</div><div class="t m0 x2 h11 ye4 ff4 fs8 fc1 sc0 ls1f ws5e">Y<span class="_0 blank"></span>our success in mathematics depends on your activ<span class="_3 blank"></span>e participation both in class and outside of class. Because the </div><div class="t m0 x2 h11 ye5 ff4 fs8 fc1 sc0 ls1f ws5f">material you learn each day builds on the material you ha<span class="_9 blank"></span>ve learned previously<span class="_1 blank"></span>, it is important that you keep up with your</div><div class="t m0 x2 h11 ye6 ff4 fs8 fc1 sc0 ls1f ws60">course work e<span class="_9 blank"></span>very day and dev<span class="_3 blank"></span>elop a clear plan of study<span class="_1 blank"></span>. This set of guidelines highlights key study strate<span class="_9 blank"></span>gies to help</div><div class="t m0 x2 h11 ye7 ff4 fs8 fc1 sc0 ls1f ws33">you learn ho<span class="_3 blank"></span>w to study mathematics.</div><div class="t m0 x2 h11 ye8 ffb fs8 fc1 sc0 ls1f ws61">Preparing for Class<span class="_1a blank"> </span><span class="ff4">The syllabus your instructor pro<span class="_9 blank"></span>vides is an inv<span class="_9 blank"></span>aluable resource that outlines the major topics to be</span></div><div class="t m0 x2 h11 ye9 ff4 fs8 fc1 sc0 ls1f ws62">cov<span class="_3 blank"></span>ered in the course. Use it to help you prepare. <span class="_9 blank"></span>As a general rule, you should set aside two to four hours of study time</div><div class="t m0 x2 h11 yea ff4 fs8 fc1 sc0 ls1f ws4e">for each hour spent in class. Being prepared is the first step to<span class="_9 blank"></span>ward success. Before class:</div><div class="t m0 x2 h11 yeb ffa fsc fc4 sc0 ls20">\u25a0<span class="ff4 fs8 fc1 ls1f ws33">Revie<span class="_9 blank"></span>w your notes from the previous class.</span></div><div class="t m0 x2 h11 yec ffa fsc fc4 sc0 ls20">\u25a0<span class="ff4 fs8 fc1 ls1f ws33">Read the portion of the text that will be co<span class="_3 blank"></span>vered in class.</span></div><div class="t m0 x2 h11 yed ffb fs8 fc1 sc0 ls1f ws63">K<span class="_3 blank"></span>eeping Up<span class="_1a blank"> </span><span class="ff4">Another important step toward success in mathematics in<span class="_9 blank"></span>volv<span class="_9 blank"></span>es your ability to keep up with the work. It</span></div><div class="t m0 x2 h11 yee ff4 fs8 fc1 sc0 ls1f ws33">is very easy to fall behind, especially if you miss a class. <span class="_9 blank"></span>T<span class="_1 blank"></span>o keep up with the course work, be sure to:</div><div class="t m0 x2 h11 yef ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff4 fs8 fc1 ls21 ws64">Attend ev<span class="_9 blank"></span>ery class. Bring your text, a notebook, a pen or pencil, and a calculator (scientific or graphing). If you miss a</span></div><div class="t m0 x11 h11 yf0 ff4 fs8 fc1 sc0 ls21 ws33">class, get the notes from a classmate as soon as possible and revie<span class="_9 blank"></span>w them carefully<span class="_9 blank"></span>.</div><div class="t m0 x2 h11 yf1 ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff4 fs8 fc1 ls1f ws65">Participate in class. <span class="_1 blank"></span>As mentioned above, if there is a topic you do not understand, ask about it before the instructor</span></div><div class="t m0 x11 h11 yf2 ff4 fs8 fc1 sc0 ls1f ws33">mov<span class="_3 blank"></span>es on to a ne<span class="_3 blank"></span>w topic.</div><div class="t m0 x2 h11 yf3 ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff4 fs8 fc1 ls1f ws66">T<span class="_1 blank"></span>ake notes in class. <span class="_9 blank"></span>After class, read through your notes and add explanations so that your notes make sense to <span class="ff9 ws5c">you</span><span class="lsc">.</span></span></div><div class="t m0 x11 h11 yf4 ff4 fs8 fc1 sc0 ls14 ws54">Fill in any gaps and note an<span class="_3 blank"></span>y questions you might hav<span class="_9 blank"></span>e.</div><div class="t m0 x2 h11 yf5 ffb fs8 fc1 sc0 ls1f ws67">Getting Extra Help<span class="_1a blank"> </span><span class="ff4 ws68">It can be very frustrating when you do not understand concepts and are unable to complete </span></div><div class="t m0 x2 h11 yf6 ff4 fs8 fc1 sc0 ls1f ws33">homew<span class="_9 blank"></span>ork assignments. Howe<span class="_3 blank"></span>ver<span class="_9 blank"></span>, there are many resources a<span class="_3 blank"></span>vailable to help you with your studies.</div><div class="t m0 x2 h11 yf7 ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff4 fs8 fc1 ls22 ws69">Y<span class="_0 blank"></span>our instructor may hav<span class="_3 blank"></span>e off<span class="_9 blank"></span>ice hours. If you are feeling overwhelmed and need help, make an appointment to discuss</span></div><div class="t m0 x11 h11 yf8 ff4 fs8 fc1 sc0 ls22 ws33">your diff<span class="_9 blank"></span>iculties with your instructor<span class="_9 blank"></span>.</div><div class="t m0 x2 h11 yf9 ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff4 fs8 fc1 ls1f ws33">Find a study partner or a study group. Sometimes it helps to work through problems with another person.</span></div><div class="t m0 x2 h11 yfa ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff4 fs8 fc1 ls1f ws6a">Special assistance with algebra appears in the <span class="ff9">Algebra Re<span class="_9 blank"></span>views<span class="ff4">, which appear throughout each chapter<span class="_9 blank"></span>. These short</span></span></span></div><div class="t m0 x11 h11 yfb ff4 fs8 fc1 sc0 ls1f ws33">revie<span class="_9 blank"></span>ws are tied together in the larger <span class="ff9 ls14">Algebr<span class="_9 blank"></span>a Review <span class="ff4 ls1f">section at the end of each chapter<span class="_9 blank"></span>.</span></span></div><div class="t m0 x2 h11 yfc ffb fs8 fc1 sc0 lsc ws6b">Preparing for an Exam<span class="_1a blank"> </span><span class="ff4 ls1f ws6c">The last step to<span class="_3 blank"></span>ward success in mathematics lies in ho<span class="_3 blank"></span>w you prepare for and complete exams.</span></div><div class="t m0 x2 h11 yfd ff4 fs8 fc1 sc0 ls1f ws6d">If you hav<span class="_9 blank"></span>e followed the suggestions gi<span class="_3 blank"></span>ven abo<span class="_3 blank"></span>ve, then you are almost ready for e<span class="_3 blank"></span>xams. Do not assume that you can cram</div><div class="t m0 x2 h11 yfe ff4 fs8 fc1 sc0 ls1f ws33">for the exam the night before\u2014this seldom w<span class="_3 blank"></span>orks. <span class="_9 blank"></span>As a final preparation for the e<span class="_3 blank"></span>xam:</div><div class="t m0 x2 h11 yff ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff4 fs8 fc1 ls1f ws6e">When you study for an exam, f<span class="_9 blank"></span>irst look at all definitions, properties, and formulas until you know them. Re<span class="_9 blank"></span>view </span></div><div class="t m0 x11 h11 y100 ff4 fs8 fc1 sc0 ls1f ws6f">your notes and the portion of the text that will be co<span class="_3 blank"></span>vered on the e<span class="_3 blank"></span>xam. Then w<span class="_3 blank"></span>ork as many e<span class="_3 blank"></span>xercises as you can,</div><div class="t m0 x11 h11 y101 ff4 fs8 fc1 sc0 ls1f ws70">especially any kinds of e<span class="_3 blank"></span>xercises that ha<span class="_9 blank"></span>ve giv<span class="_3 blank"></span>en you trouble in the past, re<span class="_3 blank"></span>working home<span class="_9 blank"></span>work problems as necessary<span class="_9 blank"></span>.</div><div class="t m0 x2 h11 y102 ffa fsc fc4 sc0 ls1d">\u25a0<span class="ff4 fs8 fc1 ls1f ws71">Start studying for your exam well in adv<span class="_9 blank"></span>ance (at least a week). The first day or tw<span class="_3 blank"></span>o, study only about two hours.</span></div><div class="t m0 x11 h11 y103 ff4 fs8 fc1 sc0 ls1f ws72">Gradually increase your study time each day<span class="_1 blank"></span>. Be completely prepared for the exam two days in adv<span class="_3 blank"></span>ance. Spend the</div><div class="t m0 x11 h11 y104 ff4 fs8 fc1 sc0 ls1f ws33">final day just b<span class="_9 blank"></span>uilding confidence so you can be relaxed during the e<span class="_3 blank"></span>xam.</div><div class="t m0 x2 h11 y105 ff4 fs8 fc1 sc0 ls1f ws33">For a more comprehensi<span class="_9 blank"></span>ve list of study strategies, please visit <span class="ff9 ws5c">colle<span class="_9 blank"></span>ge.hmco.com/pic/lar<span class="_3 blank"></span>sonBrief8e<span class="ff4 lsc">.</span></span></div><div class="t m1 x1 h5 y106 ff2 fs4 fc0 sc0 ls1e ws6">A Plan for Y<span class="_2 blank"></span>ou as a Student</div><div class="t m0 x4 h7 ye ff4 fs7 fc3 sc0 lsc ws8">Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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