Ebook Essential calculus - Early transcendentals (2nd edition): Part 1

12785_FEndF2-F4_ptg01_hires.qk_12785_FEndF2-F4_ptg01_hires 11/23/11 12:18 PM Page F2 Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Use this QR code for a shortcut to stewartcalculus.com Now that you have the book, enhance it with these free online resources at stewartcalculus.com: • Review of Algebra, Analytic • Computer Animations Geometry, and Conic Sections • Lies My Calculator and • Homework Hints Computer Told Me • Additional Examples • Additional Topics • Challenge Problems • Projects • And much more... Stewart_WebsiteAd_ECET.indd 1 11/28/11 2:56 PM 12280_FEndF2-F4_ptg01_hires.qk_12280_FEndF2-F4_ptg01_hires 12/15/11 4:28 PM Page 4 WEB PROJECTS These projects can be completed anytime after you have studied the corresponding section in the textbook. To select a project, go to www.stewartcalculus.com and click on PROJECTS. 2 DERIVATIVES 2.1 2.3 2.5 WRITING PROJECT APPLIED PROJECT APPLIED PROJECT Early Methods for Finding Tangents Building a Better Roller Coaster Where Should a Pilot Start Descent? 2.6 LABORATORY PROJECT 2.8 LABORATORY PROJECT Families of Implicit Curves Taylor Polynomials 3 INVERSE FUNCTIONS 4 APPLICATIONS OF DIFFERENTIATION 3.7 WRITING PROJECT 4.1 APPLIED PROJECT 4.5 APPLIED PROJECT The Origins of L’Hospital’s Rule The Calculus of Rainbows The Shape of a Can 5 INTEGRALS 5.3 DISCOVERY PROJECT Area Functions 5.4 WRITING PROJECT APPLIED PROJECT Newton, Leibniz, and the Invention of Calculus Where To Sit at the Movies 6 TECHNIQUES OF INTEGRATION 6.4 DISCOVERY PROJECT Patterns in Integrals 7 APPLICATIONS OF INTEGRATION 7.1 APPLIED PROJECT The Gini Index 7.2 DISCOVERY PROJECT 7.4 DISCOVERY PROJECT Rotating on a Slant Arc Length Contest 7.5 APPLIED PROJECT 7.6 APPLIED PROJECT APPLIED PROJECT Calculus and Baseball How Fast Does a Tank Drain? Which Is Faster, Going Up or Coming Down? 8 SERIES 8.1 8.7 LABORATORY PROJECT LABORATORY PROJECT Logistic Sequences An Elusive Limit WRITING PROJECT 8.8 APPLIED PROJECT How Newton Discovered the Binomial Series Radiation from the Stars 9 PARAMETRIC EQUATIONS AND POLAR COORDINATES 10 VECTORS AND THE GEOMETRY OF SPACE 9.1 LABORATORY PROJECT 9.2 LABORATORY PROJECT 9.3 LABORATORY PROJECT 10.4 DISCOVERY PROJECT 10.5 LABORATORY PROJECT Running Circles Around Circles Bézier Curves Families of Polar Curves The Geometry of a Tetrahedron Putting 3D in Perspective 10.9 APPLIED PROJECT Kepler’s Laws 11 PARTIAL DERIVATIVES 11.7 APPLIED PROJECT Designing a Dumpster DISCOVERY PROJECT Quadratic Approximations and Critical Points 11.8 APPLIED PROJECT APPLIED PROJECT Rocket Science Hydro-Turbine Optimization 12 MULTIPLE INTEGRALS 12.5 12.6 12.7 DISCOVERY PROJECT DISCOVERY PROJECT LABORATORY PROJECT Volumes of Hyperspheres The Intersection of Three Cylinders Families of Surfaces APPLIED PROJECT Roller Derby 13 VECTOR CALCULUS 13.8 WRITING PROJECT Three Men and Two Theorems 12280_FM_ptg01_hr_i-xxii.qk_12280_FM_ptg01_hr_i-xxii.qk 12/15/11 3:32 PM Page i ESSENTIAL CALCULUS Early Transcendentals SECOND EDITION JAMES STEWART McMaster University and University of Toronto Australia . Brazil . Japan . Korea . Mexico . Singapore . Spain . United Kingdom . United States ... - tailieumienphi.vn