By Weir-Hass
ISBN-10: 032160072X
ISBN-13: 9780321600721
This handbook comprises distinctive, worked-out recommendations to all workouts within the textual content, overlaying Chapters 11—16. - See extra at: http://www.pearsonhighered.com/educator/product/Instructors-Solutions-Manual-Multivariable-for-Thomas-Calculus-Thomasapos-Calculus-Early-Transcendentals
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Additional resources for Instructor' solutions manual, multivariable for Thomas' calculus & Thomas' calculus early transcendental a, 12/E
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X# c 16x b y# œ 0 Ê (x c 8)# b y# œ 64 Ê C œ (8ß 0), a œ 8 Ê r œ 16 cos ) is the polar equation # 63. ß c "# ‰ , a œ "# Ê r œ csin ) is the # 64. x# b y# c 34 y œ 0 Ê x# b ˆy c 32 ‰ œ 94 Ê C œ ˆ0ß 23 ‰ , a œ 23 Ê r œ 43 sin ) is the polar equation 65. polar equation 66. Copyright © 2010 Pearson Education, Inc. Publishing as Addison-Wesley. 697 698 Chapter 11 Parametric Equations and Polar Coordinates 67. 68. 69. 70. 71. 72. 73. 74. Copyright © 2010 Pearson Education, Inc. Publishing as Addison-Wesley.
Cos ) 1c # È2 È2 # ‹Š # ‹ csc ). Instead the interval generates the half-line from B to tan ) œ _ and the line x œ 1 is r œ sec ) in polar coordinates; then ) Ä 1 Î2 c Š . Note: The area must be found this way since no common interval generates the region. For example, the interval 0 Ÿ ) Ÿ È2 # " # œ lim ) Ä 1 Î2 c ˆ sincos) c) 1 ‰ œ lim ) Ä 1 Î2 c (tan ) c sec )) ) ‰ ˆ ccos sin ) œ 0 Ê r œ tan ) approaches lim ) Ä 1 Î2 c Ê r œ sec ) (or x œ 1) is a vertical asymptote of r œ tan ). Similarly, r œ c sec ) (or x œ c1) is a vertical asymptote of r œ tan ).
6 CONIC SECTIONS 1. x œ y# 8 Ê 4p œ 8 Ê p œ 2; focus is (2ß 0), directrix is x œ c2 # 2. x œ c y4 Ê 4p œ 4 Ê p œ 1; focus is (c1ß 0), directrix is x œ 1 # 3. y œ c x6 Ê 4p œ 6 Ê p œ 4. ß 1# ‰ , directrix is y œ c 1# 5. ‹ ; vertices are a „ 2ß 0b ; asymptotes are y œ „ 3# x 6. x# 4 b y# 9 œ 1 Ê c œ È9 c 4 œ È5 Ê foci are Š0ß „ È5‹ ; vertices are a0ß „ 3b 7. ‹ 8. ß „ 2b ; asymptotes are y œ „ 2x Copyright © 2010 Pearson Education, Inc. Publishing as Addison-Wesley. 680 Chapter 11 Parametric Equatins and Polar Coordinates 9.