James Stewart-Calculus_ Early Transcendentals-Cengage Learning (2015)

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1182 chapter 17 Second-Order Differential Equations20. A spring with a mass of 2 kg has damping constant 16, and aforce of 12.8 N keeps the spring stretched 0.2 m beyond itsnatural length. Find the position of the mass at time t if itstarts at the equilibrium position with a velocity of 2.4 mys.21. Assume that the earth is a solid sphere of uniform density withmass M and radius R − 3960 mi. For a particle of mass mwithin the earth at a distance r from the earth’s center, thegravi tational force attracting the particle to the center isF r − 2GMrmr 2where G is the gravitational constant and M r is the mass of theearth within the sphere of radius r.(a) Show that F r − 2GMmR 3 r.(b) Suppose a hole is drilled through the earth along a diameter.Show that if a particle of mass m is dropped from restat the surface, into the hole, then the distance y − ystd ofthe particle from the center of the earth at time t is given byy0std − 2k 2 ystdwhere k 2 − GMyR 3 − tyR.(c) Conclude from part (b) that the particle undergoes simpleharmonic motion. Find the period T.(d) With what speed does the particle pass through the centerof the earth?Copyright 2016 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.
AppendixesA Numbers, Inequalities, and Absolute ValuesB Coordinate Geometry and LinesC Graphs of Second-Degree EquationsD TrigonometryE Sigma NotationF Proofs of TheoremsG The Logarithm Defined as an IntegralH Complex NumbersIAnswers to Odd-Numbered ExercisesA1Copyright 2016 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.
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calculusEarly Transcendentalseighth
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Calculus: Early Transcendentals, Ei
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xiiPreface● Calculus: Concepts an
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xviPreface2.7 and 2.8 deal with der
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xviiiPrefaceEdward Dobson, Mississi
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xxPrefaceJoseph Stampfli, Indiana U
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Cengage Customizable YouBookYouBook
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Calculators, Computers, andOther Gr
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Diagnostic TestsSuccess in calculus
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xxviiiDiagnostic TestsB1. Find an e
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xxxDiagnostic Tests6. (a) 23, 3 (b)
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2 a preview of calculusA¡A∞AA£A
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AQCR¨¨OFIGURE FOR PROBLEM 23P23.
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¨PA(¨) B(¨)QFIGURE for PROBLEM 2
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Page 1244 and 1245: A30appendix D Trigonometry18a 18b18
Page 1246 and 1247: A32appendix D TrigonometryExercises
Page 1248 and 1249: A34appendix E Sigma NotationA conve
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A50appendix G The Logarithm Defined
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A66 Appendix I Answers to Odd-Numbe
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A100 Appendix I Answers to Odd-Numb
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A140indexBrahe, Tycho, 875branches
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A142indexderivative(s) (continued)o
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A144indexfunction(s) (continued)gra
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A146indexleast squares method, 26,
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A148indexparametric equations, 640,
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A150indexseries (continued)harmonic
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A152indexvector field, 1068, 1069co
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Chapter 8Concept Check AnswersCut h
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Chapter 12Concept Check Answers (co
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Chapter 14Concept Check Answers (co
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Cut here and keep for referenceChap
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2 ■ LIES MY CALCULATOR AND COMPUT
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James Stewart-Calculus_ Early Transcendentals-Cengage Learning (2015)

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