Solution manual for precalculus 1st edition by neal

Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection1 ExercisesR.1(page14) 1. root,solution 2. identity 3. no 4. linear 5. rational 6. denominator 7. %b~  norestrictions 8. 11. j% ~   %‚ 15.  % c ~    norestrictions  % ~  12. j  norestrictions % b ~   % b c ~  c % ~  %  ~   %~ conditionalequation 16. 9. 13.  ~   % %£  ~  %c %b % £ ,% £ c  % b  ~ % b % c % b  ~ % c % b % b  ~ % b  c  ~ c  % ~ % ~   %~ conditionalequation %b 18.  b  ~  b  b   19. ~    b ~  b b  %b h ~    b ~  b  identity % b ~  % b c ~  c %~ conditionalequation 21.  % c   ~ % c    % c  % c ~  % c  % c  ~  h  % c  ~ % c  identity 22. 10. 14.  ~% %c %£  j% c  %c€¬%€ 17.  b  c ~   b  c ~   c  ~   c  c  ~  c  c £  nosolution 20. % c ~   % c b ~  b  % ~   %  h ~   % ~  conditionalequation %% b  ~ % b  % b % ~ % b % b  % b % ~ % b % b   % c % b % ~ % c % b % b  % ~ % b  % c % ~ % c % b  £ nosolution INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section1 23.  ~  c   c   h ~  c  c ~c b~cb ~ conditionalequation 25. % b % c  ~ % c % b   % b % c  ~ % b % c  identity 27. % b ~  c %  % b ~  % ~  %~ 29. 32. 'c~   ' ~    h ' ~    ' ~  '~  %b ~%b    6 % b ~ 6% b   % b  ~ % b  % b  ~  % ~ %~ 24. 26. % c % b  ~ % c % b  % c % b  ~ % b % c  % c % c % b  ~ % c % b % c  c% b  ~ % c  c% b % b  ~ % b % c   ~ % c   b  ~ % c  b   ~ %  % ~   ~% conditionalequation % b % c  ~ %6% b   % b % c  ~ % b  %  % c % b % c  ~ % c % b  % % c  ~  % % c % c  ~  % c % c ~ % c % ~    c ~%  conditionalequation 28.  c  ~  b   c  ~   ~  ~ 30. 33.  & b  ~ c    & ~ c    h & ~ c   & ~ c & ~ c % c  ~ % b  % c  ~ % b % c  ~ % ~  %~ 31. 34. % c  ~ % b   % c  h ~ 6% b   % c  ~ % b c% c  ~ c% ~ % ~ c  c  ~ c  c   c  ~ c  b   c  ~   ~  ~ INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection1 35. % c b % ~    % c b % >% b  c ?~h   % b  c % ~ c b % % b  c % ~ c c % % b  ~ c c % % b  ~ c % ~ c % ~ c % b  c 37. % b  c % b  ~  % b  c % c  ~ % c  ~ % ~   %~ ~  39.  % c  c % c  ~    > % c  c % c ? ~   % c  c % c ~  % c c % c ~  c% c  ~  c% ~   %~c  41.  & b   & ~&bb    & & b  @ ~ 6& b  b A   36. % c % c  ~ % b % b  % c % b ~ % b % b  c % b ~ % b  c% b ~  c% ~  %~c ~c   38. ! b ! c  ~ ! b ! c  b  ! c  ~ ! c ! c b  c ~ c! c  ! c  ~ c ! ~ c  40.  c  b ~  c   c  b ~  c  c   c  b ~  c  b  c b ~ c b  ~b ~ 42. & b  ~ & b b & & b & b  ~ & b & b & b  ~ & b &b~ &~ 43.    b ~  %  %    %6 b ~ % h %  % b%~ %~ 44. % % b  b ~ % % b  6% c b ~ h % c b % ~ % b  % c ~ % b  % c ~  % ~   %~ % c    b ~ %b  %b    % b 6 b ~ % b   h %b  %b b % b  ~  b%b~ %b~ % ~ c INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section1 45. 47. 48. 49. 50.    ! b ~ b ~ 46. !b %c % %c !! b     ! b %% c 6 b ~ %% c  h !! b > ? ~ !! b  h %c % %c !! b  !b % b % c  ~ % ! b ~ ! % b % c  ~ % ! b ~  % c  ~ % ! ~ c %~ ! ~ c Theanswerdoesnotcheck ¬ nosolution Theanswerdoesnotcheck ¬ nosolution c% b  % ~ % b % b c% b  % % b >% b ? ~ % b  h % b % b  %% b  b c% b  ~ % %b ¬ % b % c % b  ~ % %b~ % ~ c   ~  c  b   b  b     c  b  b  h ~  c  b  b  h  c  b   b  b    b  ~   c   b ~  c  c ~ c  ~     b ~  c b  cc    b ~ c b  c  b     b  c  b 6 ~  c  b  h c b  c  b   b  b  c  ~  % b  % c  % c  b  ~  b % b % b % c % c % b  % c  % c  b ~ % b % b  % b % c  % b % c  Nowmultiplybytheleastcommondenominator ¬ % ¬  b  b  c  ~   ~  ~   % b % c  ~ % b % c % c  ~ % c c% ~  % c % b  b % b % c  ~ % b  % c   %~c   ~c  % c % c b % b % c  ~ % b % c 51. % % %b c  ~  b % % b % % b % b % % %b c ~ %% b  %% b  % b % b    %b c ~ %b %b % b % b  Nowmultiplybytheleastcommondenominator % ¬ % b  c % b  ~ % b   % b  c % c  ~ % b  % b  ~ % b   £  nosolution INSTRUCTOR USE ONLY â Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection1 52. % b  % c  b  ~  % c % c % b  % b % c % b  % c  b ~ % b % c % b  % b % c  % c % c % b  Nowmultiplybytheleastcommondenominator % c % b  b 2% c % b 3 ~ % b % c  % c % c  b % c % b  ~ % b % c % c % b  ~ % b % c c % ~ c c  %~ ~ c  53. 54. 55.   c   c  ~  b  b  b   b    c   c ~  b   b  b   b  Nowmultiplybytheleastcommondenominator    b ~ c &b &b & b  & b & b   ~ c &b & b  & b & b  Nowmultiplybytheleastcommondenominator    c ~   c  c   c  b    c ~   c      c    c  c     b ~ c c  c  c  Nowmultiplybytheleastcommondenominator ¬   b  c  c  ~  b  b  c  b  ~  b  b ~  b ~ ¬  & b  ~   & b  c   & b  ~ & b  c  & b  ~ & b  &~ ¬   c  b   c  ~   c  b  c  ~   c ~   ~ ~   56. & & b ~ c & & b   c & & & b ~   c &    & b   b & c & & & b ~ c& b&  b & c & Nowmultiplybytheleastcommondenominator  ¬ &  b &  b &   c &  ~ & b & b & c & ~ & ~ &~ Doesnotcheck.Nosolution INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section1 57.  b   c   c  c ~   b b   c b   c  b   c   c  b ~  b  b   b  c   b  c  ¬  b  c  ~  b  c c ~  Nowmultiplybytheleastcommondenominator ~  c  b  b  b  c  ~  b   c    c  c b  b  c  ~  b  c 58. 59. 62.   ~c c %c %c  c % b ~ %b %c c% %c %c % c  b ~ %b %c %c Nowmultiplybytheleastcommondenominator % c % c  b % b % c  ~ % b % c  % c % b  b % b % c ~ % b % c  % c % c  ~ % b % c  c% ~   %~ ~ c  ~  b $   c  ~ $  c  $ ~    c  ~$  %c   %c ' ~ h  ' ~ % c   b ' ~ %  ~ % c ' '~ 60.        ~  h     ~       ~   = ~ = 61. = = =   = ~   63. = =  = ~   7 ~ b 7 c ~       7 c 3 ~  h  7 c 3 ~   7 c 3  ~    7 c 3 ~         ~  h     ~       ~  = ~ 64. 7 ~ b 7 c ~        7 c 3 ~  h    7 c 3 ~   7 c 3  ~ 7 c 7 c  ~ 7 c INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection1 65. 4    4   ~ h  ~ 4  4  ~ 4 - ~ -  66. -  -  4 -  ~ 4 68. 70. 72. % & c ~    % &  c ~  h    % c & ~  % ~  b & % ~  b & %   b &  ~ b& b& % ~ b&   b      ~   b   ~  b  ~   b    b  ~ b ~ 73. 67. % & b ~   & % ~c   & %  h ~  4 c   % & ~  4 c  ~ 69.    ~ b          h ~   b      ~  b    c  ~    c  ~    c   ~  c   c    ~  c   ~  b  c    c  ~  c   c  c ~ c c c ~ c      h     b  b 71.      h         b     b    b      ~   b   ~  b  ~  b    b   ~  b  ~ ~  ~  b  c   ~  b  c   c  b  ~  cb  ~   cb ~   ~  c     c   74. :~  c   c   ~  c  h  c  :  c   ~  c  ~  c  :  c  ~  c   ~  c   : c : b  ~    ~  c    ~  c    ~  c  INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section1 75. 9~    b   b 9  b 9  b 9  ~              b  b     9~   b   b   9~ 9  b 9  c    ~ c9   9 b  c    ~ c9    b   b    ~    76. 9~  ~    b   b 9  b 9  b 9  ~              b  b     9~   b   b   9~ c9  9 b 9 c   9  b 9  c    ~ c9   9 b  c    ~ c9    b   b    ~     ~ c9  9 b 9 c    77. Let% ~ thescoreonthefirstexam Then% b ~ thescoreonthemidterm, and% b  ~ thescoreonthefinal Sumofscores ~   % b % b b % b  ~   % b  ~   % b  ~  % ~   % ~  Hisscoreonthefirstexamwas84 78. Let% ~ thescoreonthefinalround Sumofscores ~   b b  b % ~   % b  ~   % b  ~  % ~  Sheneedstoshoot74onthefinalround 79.  Let% ~ thenumberoflocksreplaced  80. Let% ~ thenumberofinterviews  b  h Number oflocks ~   b À h  b % ~  % ~  %~ 7lockscanbechangedfor$236 81.  Numberof interviews ~  b À % ~ À % ~  % ~  Heinterviewed48people Perimeter ~  % b % b  b % b % b  ~  % b  ~  % ~    % ~ ~  ¬ Thewidthis2 feet    INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection1 82.  TotalFenceLength ~  h SquareFenceLength % b % b  b % b % b  ~  h % b % b % b % % b  ~ %  ~ % % ~  Thetotalfencingrequiredis% b  ~  b  ~ feet 83.  TotalArea ~  h TriangularArea    % b   ~  h     % b   ~  % ~   %~ Thedimensionsare8feetby20feet New Area ~ Old Area b À  h 84. Sumofangles ~  % b % b  b % b  ~  % b  ~  % ~  % ~  Theanglesmeasure°,°and° Old Area 85.  % b  b % ~ % b  b À  h % b  % b  b % ~ % b  b % b  % b  ~ % b  % ~  % ~  ¬ Thelengthofthelivingroomis% b  ~ feet 86.  Area ~     b  ~    ~   ~ À ¬ Thedepthis5.4inches 87.  Let% ~ theamountinvestedat7%.Then c % ~ theamountinvestedat6% Interestat7% b Interestat6% ~ Totalinterest À% b À  c % ~  À% b  c À % ~  À% ~  % ~  $10,000wasinvestedat7%and$12,000wasinvestedat6% 88.  Let% ~ theamountinvestedat7% Interestat7% b Interestat9% ~ Totalinterest À% b À  ~  À% b  ~  À% ~  % š  À Sheneedstoinvest$45,714.29at7%toreachhergoal INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section1 89.  Let% ~ thenumberofstudenttickets Amountfromstudenttickets b AmountfromfullͲpricetickets ~ Totalamount À % b    c % ~  À  À % b  c  % ~  À   À  ~ À % % ~  Therewere studentticketssold 90.  Let% ~ thecostofstudenttickets Amountfromstudenttickets b AmountfromfullͲpricetickets ~ Totalamount 320% b 480 ~  % b  ~  % ~   %~ Astudentticketcost$5 91.  Let ~ theoriginalprice Original price c Discount ~  92À  Let$ ~ thewholesalecost New price Wholesale cost  c À ~ À À ~ À  ~ À Theoriginalpricewas$79.95 b Markup ~ Selling price $ b À$ ~ À  À$ ~ À  $ ~   Thewholesalecostis$453 93. Let% ~ #ofcomputerstobreakeven  94. Let% ~ #ofmealstobreakeven Income ~ Expenses Income ~ Expenses % ~ À  b À %  % ~  b % À % ~ À   % ~  % ~  % ~  21computersneedtobesoldtobreakeven Morethan110mealsneedtobesoldtomake aprofit 95.  Let% ~ daysforbothworkingtogether  Manin 1day b Rooferin 1day ~ 96. Let% ~ hoursforbothworkingtogether Crew1 in1hour Totalin 1day b Crew2 in1hour ~ Totalin 1hour    b ~  %    %6 b ~ %6  % % b % ~  % ~    %~ ~ Theycansealtheparkinglotin4 49 hours    b ~  %    %6 b ~ %6  % % b % ~  % ~   %~ ~   Theycanroofthehousein2 11 days INSTRUCTOR USE ONLY 10 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection1 97. Let% ~ hoursforbothworkingtogether  Woman in1hour Manin 1hour b 98. Let% ~ daysforbothhosestofillthepool Totalin 1hour ~ 1sthose in1day    b ~   %    %6 b ~ %6   % % b % ~  % ~    %~ ~   Theycanmowthelawnin1  hours Drainin 1hour c Samin 1hour Ozofalc atstart b Ozofalc added ~ b Sisterin 1hour ~ Totalin 1hour    b ~ %     %6 b ~ %6 %  % b  ~ %  ~ %  ~ % Shecanstuff1,000shrimpin12hours,soshe canstuff500shrimpin6hours    c ~   %     %6 c ~  %6   %  % c % ~   % ~      %~ ~  Thepoolcanbefilledin21  hours 101. Let% ~ theouncesofwateradded Totalin 1day ~ 100. Let% ~ hoursforsistertostuff1000shrimp Totalin 1hour ~ 2ndhose in1day    b ~   %    %6 b ~ %6   % % b % ~ % ~  %~ ~ Thepoolcanbefilledin1 15 days 99. Let% ~ hourstofillwithdrainopen  Pipein 1hour b 102. Let% ~ themlofwaterremoved  Ozofalc atend mlofsalt atstart c mlofsalt removed ~ mlofsalt atend À c % ~ À c % ~ c À% À% ~   %~ À % ~  a.10mlofwatershouldbeboiledaway b.Thenewlevelwillbeatthe200Ͳmlmark À  b % ~ À b %  ~  b À%  ~ À%  ~% À  ~ % 10ozofwatershouldbeadded 103. Let% ~ thelitersofliquidreplacedwithpureantifreeze Litersof a.f.atstart c Litersof a.f.removed b Litersof a.f.replaced ~ Litersof a.f.atend À  c À% b % ~ À   À b À % ~  À % ~ À % ~  ¬ 1litershouldbereplacedwithpureantifreeze INSTRUCTOR USE ONLY 11 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section1 104. Let% ~ thelitersofskimmedmilkadded Litersofbutterfat atstart b Litersof butterfatadded Litersofbutterfat atend ~ À  b % ~ À b % À b  ~ À b À% À ~ À% À ~ % ¬ 2.25litersofskimmedmilkshouldbeadded 105. Let% ~ thegallonsofpurechlorineadded Gallonsof chlorineatstart b Gallonsof chlorineadded ~ Gallonsof chlorineatend   b % ~ À  b % % ~ À b À% À % ~ À % š À ¬ About4.5 gallonsofpurechlorineshouldbeadded 106. Let% ~ thepercentageofsubstitutefuelused.Then c % ~ thepercentageofgasolineused Percentageof gasolineused Costpergallon ofgasoline h b Percentageof fuelused h Costpergallon offuel ~ Costpergallon ofmixture  c %À  b % ~ À À  c À % b % ~ À cÀ % ~ cÀ % ~ À ~ % Thesubstitutefuelshouldbe50%ofthemixture 107. Let% ~ thelitersofwaterevaporated Litersof saltatstart Litersof saltevaporated c ~ Litersof saltatend À c % ~ À  c % À c  ~ À c À % À % ~ À % ~  ¬ 4litersofwatershouldbeevaporated 108. Let% ~ themlofwaterboiledaway mlofsalt atstart c mlofsalt removed ~ mlofsalt atend À  c % ~ À  c %  c  ~  À c À % À % ~ À À      %~ ~ ~ ~  ¬ 53 mlofwatershouldbeboiledaway À    109. Let% ~ thegallonsof5%solutionused Gallonsofalc in5%solution b Gallonsofalc in1%solution ~ Gallonsofalc in2%solution À % b À  ~ À% b  À % b À ~ À% b À À% ~ À % ~  30gallonsofthe5%solutionshouldbeused INSTRUCTOR USE ONLY 12 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection1 110. Let% ~ theouncesof%creamused.Then c % ~ theouncesof5%creamused Ouncesofh.c in1%cream Ouncesofh.c in5%cream b ~ Ouncesofh.c infinalcream À% b À  c % ~ À À% b À c À % ~ À cÀ% ~ cÀ % ~ À 0.75ouncesofthe1%creamshouldbeusedwith0.25 ouncesofthe5%cream 111. Let ~ hisfirstrate.Then b  ~ hisreturnrate Distancetocity ~ Returndistance  ~  b    ~  b  ~  ~  ¬ Hedrove39mphgoingand65mphreturning 112. Let! ~ thetimeSuziandJimtravel DistanceSuzi travels ~ DistanceJim travels b  ! ~ ! b  ! ~  ! ~ ¬ Theytraveledfor5hours,soSuzitraveled300miles 113. Let! ~ thetimethecarstravel Distance1st cartravels b Distance2nd cartravels ~ Totaldistance ! b ! ~  ! ~  ! ~ À ¬ Theywillbe310milesapartafter2.5hours 114. Let! ~ the hourstherobberstravel.Then! c Distancerobbers travel ~   ~ ! c ~ thehoursthepolicetravel  Distancepolice travel  ! ~ 6! c ! ~ ! c  c! ~ c  !~ ~  ~ À  ¬ Thepolicewillcatchupafter1.625hours INSTRUCTOR USE ONLY 13 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section1 115. Let ~ thespeedoftheboatinstillwater Thenthespeedoftheboatis b downstreamand c upstream Timeupstream ~ Timedownstream "Note:Time ~ Distance e Rate# ~ c b ~  b  c   b  c  c b  b  ~  c   b  ~  c   ~   ~  ¬ Thespeedoftheboatis12mph 116. Let$ ~ thespeedofthewind Thenthespeedoftheplaneis b $downwindand c $upwind Timeupwind ~ Timedownwind   ~  c $  b $    b $ c $ ~  b $ c $  c $  b $  b $ ~  c $ ,  b $ ~ , c $ $ ~ , $ ~  ¬ Thespeedofthewindis60mph 117. = ~     À  ~ À   À  ~ À  À š  Theholeisabout11.2millimetersdeep 119. Answersmayvary. 118. Sincethediameterofthesemicircleis6feet, theradiusofthesemicircleis3feet Areaof rectangle b Areaof semicircle ~ Total area  c  b   ~ À  c  b À  ~ À  ~ À b  c À   š À   š  Theheightofthewindowisabout12feet 120. Answersmayvary ExercisesR.2(page25) 1. imaginary 2. real,imaginary 3. imaginary 4.  7. real 5.  c  6. real 8. c j c   ~ c   9. j c  ~ j c  ~  c j c  ~ c j c   ~ c j ~ c j 10. j c  ~ j c   ~ j ~ j INSTRUCTOR USE ONLY 14 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection2 c   h  j j  ~  11. m6 ~ m  c  6 7~   12. c l c   h  c j j  ~ c l c  ~ ~ c    13.  c l 14  l c   c j j ~ c l c  h ~ c l ~ ~ c      c   j j ~ l c  h ~ l ~ ~      15. Equaterealparts: Equateimaginaryparts: %~  %b& ~ b& ~ &~ 17. Equaterealparts: % ~  %~ 16. Equateimaginaryparts: Equaterealparts: Equateimaginaryparts:   ~ c& c ~ & %~& % ~ c c& ~ % b & c& ~ % & ~ c  % & ~ c  h   & ~ c  18. Equaterealparts: %~ Equateimaginaryparts: % b & ~ c  b & ~ c & ~ c 19.  c  b  b  ~  c  b  b   ~ c  20. c b  b  c  ~ c b  b  c  ~ c c  21.  c  c  b  ~ c  c c   ~ c c  22.  b  c  c  ~  b  c  b  ~ c b  23.  b  b 4 c jc ~  b  b  c  ~  b  b  c  ~  b  24. b jc 5 c  c  ~  b  c  c  ~ b  c  b  ~  c   25. 4 b jc5 c 4 b jc 5 ~  b  c  b  ~  b  c  c  ~  c  26. c jc 5 b 4c b jc5 ~  c  b c b  ~ c  c b  ~ c c  27  c  b  ~ c  c   29.  c  ~  c  ~ b  28.  c  ~  c  30. c  c  ~ c  b  ~ c  c  INSTRUCTOR USE ONLY 15 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section2 31.  b  b  ~ b   b  c ~ b   c  ~ c b   32.  c  b  ~  c  c  ~  c  c c ~  c  b ~  c  33.  b  ~  b  b  ~  b  b  ~  b  b c ~  b  c ~ c b  34.  c  ~  c  c  ~ c  b   ~ c  b  c ~ c  c  ~ c c  35. 4 b jc 54 c jc ~  b  c  ~  c  c  ~  c  c c ~  c  b  ~  c  36. b jc 54 c jc 5 ~  b  c  ~  c   ~  c  c ~  b  ~ b  37. 4jc b 54 b jc 5 ~  b  b  ~ b  b  ~ b  b c ~ b  c  ~ c b  38. 4 c jc54c b jc 5 ~  c c b  ~ c b  c  ~ c b  c c ~ c b  b  ~ c b  39.      ~ h ~ ~ ~  b   c c  c  40.      ~ h ~  ~ ~  c      c 41 c c  c  c   ~ h ~ ~ ~  b      c  42.       ~ h ~  ~ ~c      c 43. 44. 45. 46. 47. 48. 49.   c  c c c   ~ ~  ~ ~ ~ c   b  c  b  c   c c c c b  c b  c b  c b  c b    ~ ~ ~ ~ ~ ~c c   c  b  c  c  c c    c   c   c c  b   b   ~ ~  ~ ~ ~ ~ b    b  c  b c  c c     c c c  c  b   c  c  c  c   ~ ~ ~ ~ ~c c   b  c   b   c       c    b  b  b b  b  b    ~ ~ ~ ~ b ~ b    c  b  c c       c  c  c  c  b   c    ~ ~ ~ ~ c  ~  c   b  c  b  c      c  c   c  c  b   c c   ~ ~ ~ ~c c    b  c   b   c     INSTRUCTOR USE ONLY 16 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection2 50. 51. 52. 53. 54.  b  b   b  b  b   b    ~ ~ ~ ~ b  ~  b   c  b   c   c      c jc c  c b  b  c b     c c c  ~ ~ ~ ~ ~c b   c b   c  c b c c  c b jc   ~c b     c jc  c  c  c  c    c  b  ~ ~ ~ ~ ~ c   c  c  b  c  c jc b j b 4j c 5 4 b j5 c   b j c  b j c  j ~ ~ ~  b  c  b c   b j  j  c  ~ b     b 4 b j5  c j b 4j b 5 b  b j b  b  j ~ ~ ~  c    c j 4 c j54 b j5 ~ 55.  ~   ~ 2  ~   ~   57.  ~   ~ 2  ~   ~  ~ c 59. 87 ~ 84 3 ~ 2 3 ~ 21 3 ~ 3 ~ c  21 61.100 ~ 2 25 63. c ~ 56. 6 ~  2 ~ 2 2 ~   c  ~ c  58.  ~   ~ 2  ~   ~  ~ c  60.  ~ 2  ~  ~  62. ~   ~ 2  ~   ~   ~ 25 ~    h    ~ ~ ~ ~  ~ c   h    65. c ~  c j  b j b      h    ~ ~ ~ ~     h    ~ c 64.  ~  66. c ~  h   ~  ~  ~ ~    h   67.  h   ~  ~  ~ ~  ~  b    h   68.   h    ~ ~ ~ ~  ~  c    h    69. c c h  c c ~ ~ ~ ~ cc    h    ~  b  70. c c ~ ~ c ~ c b    71. = ~ 09 ~  c  b  ~ b  c  c  ~ b  b  ~  b  INSTRUCTOR USE ONLY 17 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section2 72. ~ =  b   b  b   b  b  b   b  ~ ~ ~ ~ ~  b    c   c  b   c   73. = ~ 0A ~ À b ÀÀ c À ~ À c À  b À c  ~ À c À b ~ À c À 74.  b  ~ c b  c b  b  ~ c b c b  b  ~  c  c  b  b  ~ c c b  ~  b  ~ c b  75.  b  b  b  ~  b  b  b   b b b  ~  b  b  b  ~  b  b  b  ~  b  b  b  ~  b   b  b    ~  b   b  b    ~  b   b  b    76.  b  b  ~  b  b  b   b  b  ~  b  b  b  ~  b  b   c  ~  b  b  c  ~  c   b  b   ~  c  b  b   77. 78.  b  b  b ! b  b   ~  b  b  b  b  b   ~  b  b  b  b  b   ~  b  b   b   b  b     b  b  b  b  b  ! ~  b  b  b  b  b   ~  b  b  b  b  b   ~  b  b   b   b  b     b  ~ ~ ~ ~ ~   c   b   c  b   b   c     b   b     b    b    b  79. Answersmayvary.   and mustequal   b  b  If b   ~ ,thenthiswillcertainlybetrue Somesolutionsto b   ~ arebelow: ~  ~ c ~ ~ F ~ F ~  F  ~  F  ~ c Somecomplexnumberswiththedescribedpropertyarethen:  b ,c b , b , c  Thus,mustequal  Therearemanyotherpossiblesolutions 80. Answersmayvary ExercisesR.3(page36) j ,cj  % b % b  ~   ~     c   twodifferentimaginarynumbers 9.  % c % c ~  % b % c  ~  %b~ or % c  ~  % ~ c %~ 10. % ~  c f j  c   7.( ~ $8. ~ ! % b % b  ~  % b % b  ~  %b ~ or % b  ~  % ~ c % ~ c INSTRUCTOR USE ONLY 18 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection3 11. % c  ~   % b % c  ~  % b  ~  or % c  ~  % ~ c % ~  12. % b % ~  %% b  ~  % ~  or % b  ~  %~ % ~ c 13. % b % c  ~   % b % c  ~  % b ~  or % c  ~  % ~ c %~ % ~ c  %~ 14. % b % c  ~  % c % b  ~  % c  ~  or % b  ~  % ~  % ~ c % ~  % ~ c 15.  % b  % ~    % b  % c  ~  % b  % c  ~  % b ~  or % c  ~  % ~ c % ~  % ~ c  % ~  16. % c  % ~ c % c  % b  ~  % c % c  ~  % c ~  or % c ~  % ~ % ~ % ~  % ~  % b ~ %   % c % b ~  2% c % b 3 ~  % c % c  ~  % c  ~  or % c  ~  % ~  % ~  % ~  % ~  18.  17. 19. % ~ j %~ % ~ or % ~ cj % ~ c 20. % b ~ % % c % b ~  2% c % b 3 ~  % c % c  ~  % c  ~  or % c  ~  % ~  % ~  % ~  % ~  % ~ c  % ~ j c  % ~  or % ~ cj c  % ~ c & b  ~  & ~ c  21. or & ~ j c  j & ~  c   & ~ j 22.   % c ~  % ~ % ~ j % ~ j  & ~ c j c  & ~ c j c   y ~ c j    or % ~ cj % ~ c j & ~  & ~  & ~ j & ~ j  or & ~ cj & ~ cj INSTRUCTOR USE ONLY 19 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section3 % ~ c  % ~ c  24. or % ~ j c  % ~ c j c  j % ~  c   % ~ c j c   % ~ j % ~ cj & ~ c   & ~ c  25. &~lc     & ~ l  c   j &~  26. %~l     & ~ c l  c   j &~c   % ~ % ~     %~l  j %~ 28. & ~ clc or or  %~ cl    %~ cl  j %~c % c  ~  % c  ~ j or % c  ~ cj %c~ % c  ~ c %~ % ~ c  & b  c  ~  & b  ~  & b  ~ j or & b  ~ cj &b~ & b  ~ c &~ & ~ c % b  b ~  % b  ~ c 29. %b~jc or % ~ c  b j c  % ~ c  b j 30. 27. %b~ cjc % ~ c  c j c  % ~ c cj & b  c 98 ~  & b  ~ 98 & b  ~ j98 or & b  ~ cj98 j & ~ c  b   & ~ c j  & ~ c  b j  & ~ c c j 31. % b % b :   ; ~ % b % b    ~ % b % b 32. % b % b :  ; ~ % b % b   ~ % b % b  INSTRUCTOR USE ONLY 20 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection3 33. % c % b :  c; ~ % c % b c  34. % c % b :  c; ~ % c % b c   35.  b  b :   ; ~  b  b     ~  b  b   36. ! b ! b :   ; ~ ! b ! b    ~ ! b ! b    ~ % c % b  ~ % c % b   37. 38.  c  b :  c; ~  c  b   c b :  c; ~    c   ~  c  b    ~ c b c    c b         39. & b & b > 7? ~ & b & b ~ & b & b             c    40.  c  b > 6c 7? ~  c  b ~ c b         41. % c % b  ~   % c % ~ c % c % b  ~ c b  % c  ~  % c  ~ j or % c  ~ cj %c~ % c  ~ c %~ %~ 42. % b % b  ~  % b % ~ c % b % b  ~ c b  % b  ~  % b ~ j or % b ~ cj %b ~ % b ~ c % ~ c % ~ c 43. % b % c ~    % b % ~  % b % b  ~ b  % b  ~  % b  ~ j or % b  ~ cj j % ~ c  b  % ~ c  c j 44. % c % ~  % c % b  ~  b  % c  ~  % c  ~ j or % c  ~ cj % ~  b j % ~  c j 45.  % c  % ~ c   % c  % b  ~ c  b  % c  ~  % c ~ j or % c ~ cj % ~ b j % ~ c j 46. % b % ~  % b % b  ~  b  % b  ~  or % b ~ cj % b ~ j % ~ c b j % ~ c c j INSTRUCTOR USE ONLY 21 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section3 47.  % ~ c % c  % b % b  ~ c  b  % b  ~ c % b  ~ j c or % b  ~ cj c % ~ c  b  % ~ c  c  48.  49. 51. % ~ % c  % c % b  ~ c  b  % c  ~ c  % c ~ j c  or % c ~ cj c  % ~ c  % ~ b   50.  % b % b ~  % c % b ~  % b % b ~ c b % c % b  ~ c b  % b  ~ c  % c  ~ c  % c ~ j c  or % c ~ cj c  % b  ~ j c  or % b  ~ cj c % ~ b j % ~ c j % ~ c  b j % ~ c  c j % c % ~ c 2% c % b  3 ~ c b   % c  ~ c % c  ~ c  %c ~lc or % b ~ cl c   j j %~ b  %~ c    53. % ~  c % % b % ~    % b % ~        % b %b ~ b     6% b ~  54. % ~ % b  % c % ~    % c % ~      % c %b ~ b        6% c ~   % b % ~ c 2% b % b 3 ~ c b   52.  % b  ~ c    % b   ~ c    %b~lc or % b  ~ cl c   j j %~ cb  %~ cc     ~l  j  %b ~   c b j %~  %b   ~l   j  %c ~    b j %~  %c  ~ cl  j  %b ~c   c c j %~  or % b   ~ cl   j  %c ~c    c j %~  or % c 55. % c  ~  ¬  ~ , ~ , ~ c c f k c c c f j  c   f j b   f j f j %~ ~ ~ ~ ~      j j  cj cj %~ ~ ~ jor% ~ ~ ~ cj     INSTRUCTOR USE ONLY 22 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterRSection3 56. % c  ~  ¬  ~ , ~ , ~ c c f k c c c f j  c   f j b   f j f j %~ ~ ~ ~ ~      j j cj cj %~ ~ ~ j or% ~ ~ ~ cj     57. % c % c  ~  ¬  ~ , ~ c, ~ c cc f kc c c  c f j  c   f j b   f j %~ ~ ~ ~        f  ~   b    c  c %~ ~ ~ or% ~ ~ ~c      58. % b % c  ~  ¬  ~ , ~ , ~ c c f k c  c c f j  c  c f j b  c f j c f ~ ~ ~ ~        c b  c c c  %~ ~ ~ or% ~ ~ ~c       %~ 59. % b % c  ~  ¬  ~ , ~ , ~ c c f k c c c f j  c  c f j b  c f j c f ~ ~ ~ ~      c b  c c c %~ ~ ~ or% ~ ~ ~ c     %~ 60. % b % b  ~  ¬  ~ , ~ , ~  c f k c   c f j  c  c f j c  c f j %~ ~ ~ ~   c f  ~ c b  c c c  c ~ ~ c %~ ~ ~ cor% ~ 61. c% ~ % b  ¬ c% c % c  ~  ¬  ~ c, ~ c , ~ c %~ cc  f kc  c cc c f j  c  f j c  f j ~ ~ ~  c c c c f j ~ INSTRUCTOR USE ONLY 23 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ChapterR Section3 62. %% b  ~ c ¬ % b % b  ~  ¬  ~ , ~ , ~  c  f k  c  c f j  c  c f j c c f j %~ ~ ~ ~       c f j ~  c f j ~   63. %6% b ~  ¬ % b % c  ~  ¬  ~ , ~ , ~ c c f k c  c c f j  c  c f j b  c f j  %~ ~ ~ ~       64. % ~ % b  ¬ % c % c  ~  ¬  ~ , ~ c, ~ c %~ cc f kc c c c f j  c   f j b  f j  ~ ~ ~      f j ~   f j ~ 65. % b % b  ~  ¬  ~ , ~ , ~  c f j c  c f j  c  c f j c c f jc c f  %~ ~ ~ ~ ~      ~ c f  66.  b  b ~  ¬  ~ , ~ , ~ c f j c  c f j  c  c f j c  c f jc c f  ~ ~ ~ ~ ~      ~ c f  67. & b & b ~  ¬  ~ , ~ , ~ c f j c   c f j  c  c f j c  c f jc c f  &~ ~ ~ ~ ~      ~ c f  68. % b % b ~  ¬  ~ , ~ , ~ c f j c   c f j  c  c f j c  c f jc c f  %~ ~ ~ ~ ~      ~ c f  INSTRUCTOR USE ONLY 24 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Precalculus-1st-Edition-by-Neal ... https://TestbankDirect.eu /Solution- Manual- for- Precalculus- 1st- Edition- by- Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu /Solution- Manual- for- Precalculus- 1st- Edition- by- Neal. .. https://TestbankDirect.eu /Solution- Manual- for- Precalculus- 1st- Edition- by- Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu /Solution- Manual- for- Precalculus- 1st- Edition- by- Neal. .. https://TestbankDirect.eu /Solution- Manual- for- Precalculus- 1st- Edition- by- Neal Solution Manual for Precalculus 1st Edition by Neal NOT FOR SALE Full file at https://TestbankDirect.eu /Solution- Manual- for- Precalculus- 1st- Edition- by- Neal