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 % ~ % 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 % 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 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 À 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 ~ ~ ~ ~ c c 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 À À 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 c c f k c 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 %~ c c f k c c c c 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 %~ c c f k c 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