Calculus 2nd Edition Rogawski

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xii PREFACE MEDIA Online Homework Options http://www.webassign.net/whfreeman W. H. Freeman has partnered with WebAssign to provide a powerful, convenient online homework option, making it easy to assign algorithmically generated homework and quizzes for Rogawski’s Calculus, Second Edition.WebAssign Premium for the new edition of Calculus offers thousands of exercises, plus tutorial videos. It will also be available with a full eBook option. www.yourcalcportal.com CalcPortal combines a fully customizable eBook with exceptional student and instructor resources, including precalculus diagnostic quizzes, interactive applets, student solutions, review questions, and homework management tools, all in one affordable, easy-to-use, and fully customizable learning space. This new iteration of CalcPortal for Calculus, Second Edition, represents a dramatic step forward for online teaching and learning, with innovations that make it both more powerful and easier to use. It will include a turnkey solution with a prebuilt complete course, featuring ready-made assignments for you to use as is or modify. WeBWorK http://webwork.maa.org Developed by the University of Rochester, this open-source homework system is available to students free of charge. For adopters of Calculus, Second Edition, W. H. Freeman will increase the current first edition offering to include approximately 2400 algorithmically generated questions with full solutions from the text, plus access to a shared national library test bank with thousands of additional questions, including 1500 problem sets correlated to the table of contents. ADDITIONAL MEDIA SolutionMaster SolutionMaster is an innovative new digital tool to help instructors provide selected, secure solutions to their students. With SolutionMaster, instructors can easily create solutions for any assignment from the textbook
ADDITIONAL MEDIA xiii Interactive eBook The Interactive eBook integrates a complete and customizable online version of the text with its media resources. Students can quickly search the text, and they can personalize the eBook just as they would the print version, with highlighting, bookmarking, and notetaking features. Instructors can add, hide, and reorder content, integrate their own material, and highlight key text. Dynamic Book Rogawski’s Calculus, Second Edition, is available as an innovative, customizable, and editable DynamicBook eBook. In DynamicBooks an instructor can easily customize the text presentation by adding, hiding, and modifying content to meet their specific teaching approach to calculus. In addition to highlighting and adding notes, students can link to interactive graphical applets, videos, and other digital assets. Rogawski’s DynamicBook can be viewed online, downloaded to a local computer, and downloaded to an iPhone or iPad. Students also have the option to purchase a printed, bound version with the instructor’s changes included.
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Page 4 and 5: Publisher: Ruth Baruth Senior Acqui
Page 6 and 7: To Julie
Page 8 and 9: CONTENTS CALCULUS Chapter 1 PRECALC
Page 10 and 11: ABOUT JON ROGAWSKI As a successful
Page 12 and 13: x PREFACE Placement of Taylor Polyn
Page 16 and 17: xiv PREFACE FEATURES Conceptual Ins
Page 18 and 19: xvi PREFACE ACKNOWLEDGMENTS Jon Rog
Page 20 and 21: xviii PREFACE Seminole Community Co
Page 22 and 23: xx PREFACE University; Legunchim L.
Page 24 and 25: xxii PREFACE It is a pleasant task
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Page 28 and 29: 2 CHAPTER 1 PRECALCULUS REVIEW |a|
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Page 38 and 39: 12 CHAPTER 1 PRECALCULUS REVIEW 61.
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38 CHAPTER 1 PRECALCULUS REVIEW Exe
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2 LIMITS Calculus is usually divide
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42 CHAPTER 2 LIMITS We cannot defin
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44 CHAPTER 2 LIMITS We conclude tha
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46 CHAPTER 2 LIMITS 3. Let v = 20
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48 CHAPTER 2 LIMITS Percent infecte
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50 CHAPTER 2 LIMITS The limit conce
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52 CHAPTER 2 LIMITS y TABLE 3 16 x
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54 CHAPTER 2 LIMITS In the next exa
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56 CHAPTER 2 LIMITS y f (y) y f (y)
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58 CHAPTER 2 LIMITS b x − 1 66. S
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60 CHAPTER 2 LIMITS (b) Use the Pro
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62 CHAPTER 2 LIMITS a x − 1 40. A
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64 CHAPTER 2 LIMITS 5 4 3 2 1 y x 1
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66 CHAPTER 2 LIMITS y y y y 2 y = x
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68 CHAPTER 2 LIMITS Temperature (°
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70 CHAPTER 2 LIMITS 50. Sawtooth Fu
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72 CHAPTER 2 LIMITS Other indetermi
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74 CHAPTER 2 LIMITS y 6 4 y = 1 x
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76 CHAPTER 2 LIMITS x − 4 35. Use
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78 CHAPTER 2 LIMITS y y y C B = (co
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80 CHAPTER 2 LIMITS 3. What does th
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82 CHAPTER 2 LIMITS y y = 2 x y y =
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84 CHAPTER 2 LIMITS 3x 3 − 7x + 9
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86 CHAPTER 2 LIMITS Exercises 1. Wh
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88 CHAPTER 2 LIMITS Altitude (m) 10
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90 CHAPTER 2 LIMITS (a) f (c) = 3 h
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92 CHAPTER 2 LIMITS 1 y y 1 0.8 0.5
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94 CHAPTER 2 LIMITS Because we are
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96 CHAPTER 2 LIMITS This proves tha
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98 CHAPTER 2 LIMITS Further Insight
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100 CHAPTER 2 LIMITS 67. In the not
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102 CHAPTER 3 DIFFERENTIATION y y y
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104 CHAPTER 3 DIFFERENTIATION Step
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106 CHAPTER 3 DIFFERENTIATION 3.1 S
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108 CHAPTER 3 DIFFERENTIATION y 5 4
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110 CHAPTER 3 DIFFERENTIATION y y 7
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112 CHAPTER 3 DIFFERENTIATION THEOR
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114 CHAPTER 3 DIFFERENTIATION EXAMP
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116 CHAPTER 3 DIFFERENTIATION GRAPH
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118 CHAPTER 3 DIFFERENTIATION 4. Ch
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120 CHAPTER 3 DIFFERENTIATION 62. S
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122 CHAPTER 3 DIFFERENTIATION REMIN
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124 CHAPTER 3 DIFFERENTIATION REMIN
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126 CHAPTER 3 DIFFERENTIATION 3.3 E
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128 CHAPTER 3 DIFFERENTIATION Furth
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130 CHAPTER 3 DIFFERENTIATION (b) T
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132 CHAPTER 3 DIFFERENTIATION • S
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134 CHAPTER 3 DIFFERENTIATION FIGUR
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136 CHAPTER 3 DIFFERENTIATION 20. T
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138 CHAPTER 3 DIFFERENTIATION F(r)
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142 CHAPTER 3 DIFFERENTIATION Exerc
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144 CHAPTER 3 DIFFERENTIATION CAUTI
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146 CHAPTER 3 DIFFERENTIATION π
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148 CHAPTER 3 DIFFERENTIATION (c) B
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150 CHAPTER 3 DIFFERENTIATION Chris
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156 CHAPTER 3 DIFFERENTIATION 4 3 2
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158 CHAPTER 3 DIFFERENTIATION Notic
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160 CHAPTER 3 DIFFERENTIATION We co
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162 CHAPTER 3 DIFFERENTIATION y y 2
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164 CHAPTER 3 DIFFERENTIATION Both
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166 CHAPTER 3 DIFFERENTIATION Step
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170 CHAPTER 3 DIFFERENTIATION Exerc
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172 CHAPTER 3 DIFFERENTIATION y (I)
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174 CHAPTER 3 DIFFERENTIATION 85. A
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176 CHAPTER 4 APPLICATIONS OF THE D
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5 THE INTEGRAL The basic problem in
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246 CHAPTER 5 THE INTEGRAL f (a + 2
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248 CHAPTER 5 THE INTEGRAL Linearit
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250 CHAPTER 5 THE INTEGRAL Computin
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252 CHAPTER 5 THE INTEGRAL 30 20 10
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254 CHAPTER 5 THE INTEGRAL • If f
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256 CHAPTER 5 THE INTEGRAL In Exerc
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258 CHAPTER 5 THE INTEGRAL c 1 c 2
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260 CHAPTER 5 THE INTEGRAL y f(c i
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262 CHAPTER 5 THE INTEGRAL y y = x
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264 CHAPTER 5 THE INTEGRAL • The
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266 CHAPTER 5 THE INTEGRAL 31. ∫
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268 CHAPTER 5 THE INTEGRAL Proof Th
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270 CHAPTER 5 THE INTEGRAL We know
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272 CHAPTER 5 THE INTEGRAL ∫ b
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274 CHAPTER 5 THE INTEGRAL Proof Fi
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276 CHAPTER 5 THE INTEGRAL y y = f(
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278 CHAPTER 5 THE INTEGRAL 2 1 0
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280 CHAPTER 5 THE INTEGRAL EXAMPLE
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282 CHAPTER 5 THE INTEGRAL In Secti
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284 CHAPTER 5 THE INTEGRAL 20. To m
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286 CHAPTER 5 THE INTEGRAL In gener
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288 CHAPTER 5 THE INTEGRAL ∫ EXAM
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290 CHAPTER 5 THE INTEGRAL 5.6 SUMM
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292 CHAPTER 5 THE INTEGRAL ∫ π/2
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294 CHAPTER 5 THE INTEGRAL ∫ 5 35
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6 APPLICATIONS OF THE INTEGRAL In t
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298 CHAPTER 6 APPLICATIONS OF THE I
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340 CHAPTER 7 EXPONENTIAL FUNCTIONS
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414 CHAPTER 8 TECHNIQUES OF INTEGRA
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9 FURTHER APPLICATIONS OF THE INTEG
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480 CHAPTER 9 FURTHER APPLICATIONS
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514 C H A P T E R 10 INTRODUCTION T
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544 C H A P T E R 11 INFINITE SERIE
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614 C H A P T E R 12 PARAMETRIC EQU
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664 C H A P T E R 13 VECTOR GEOMETR
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( x 5 ) 2 + ( y 7 ) 2 + ( z 9 712 C
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( x a 714 C H A P T E R 13 VECTOR G
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730 C H A P T E R 14 CALCULUS OF VE
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15 DIFFERENTIATION IN SEVERAL VARIA
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782 C H A P T E R 15 DIFFERENTIATIO
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16 MULTIPLE INTEGRATION Integrals o
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868 C H A P T E R 16 MULTIPLE INTEG
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946 C H A P T E R 17 LINE AND SURFA
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1000 C H A P T E R 17 LINE AND SURF
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1010 C H A P T E R 18 FUNDAMENTAL T
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A2 APPENDIX A THE LANGUAGE OF MATHE
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B PROPERTIES OF REAL NUMBERS “The
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A10 APPENDIX B PROPERTIES OF REAL N
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A12 APPENDIX B PROPERTIES OF REAL N
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A14 APPENDIX C INDUCTION AND THE BI
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A16 APPENDIX C INDUCTION AND THE BI
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D ADDITIONAL PROOFS In this appendi
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A20 APPENDIX D ADDITIONAL PROOFS TH
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A22 APPENDIX D ADDITIONAL PROOFS Th
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A28 ANSWERS TO ODD-NUMBERED EXERCIS
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A100 ANSWERS TO ODD-NUMBERED EXERCI
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A120 REFERENCES Chapter 3 Review (E
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A122 REFERENCES Section 15.8 (EX 42
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A124 PHOTO CREDITS PAGE 410 left Li
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I2 INDEX asymptotic behavior, 81, 2
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I4 INDEX curvilinear coordinates, 9
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I6 INDEX Fourier Series, 422 fracti
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I8 INDEX integrands, 235, 259 and i
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I10 INDEX monotonic functions, 249
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I12 INDEX rate of change (ROC), 14,
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I14 INDEX temperature: directional
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Calculus 2nd Edition Rogawski

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