00020002010014Partial Fraction.ACT0003020016Partial Fraction 1.EAC0100000016c2É Partial Fraction 1.EAC† .ACTˆ3ˆ7††Š Ž $E †(Œ'[ˆ1¤s†ˆDistinct Linear F†”orsŽŽA [Œ9Find the pŽ\fÏŽ"of Œg3x-7Ž:xŒ}2Œ…-xŒŽ.–xˆfŒŠhdenomina†Ÿ.[‡‰ fŠ°(x’SŽ -x)=xî’Œux-ó\We write[Ô§ =Œ AŽxŽ+BŒx-1[Ž =Ž= Aî’x-A+B†Ž?xî’¶9†6Œ‚ŠD®?Œ¥!Compare the coefficients.[Ž¼3=”W-7=-ŽÝA,BŽ‰ îŒ A=7,B=-4ŽfŽnT†f†otial fraction is[‘53x-7‘0x12Œz-xŽ•f7¡f-4”î\ŒîCAS CalculatorËˆž†¢ß \ Rˆfactor(xŒ2Œ-x)R)xî’ŽxŽ>-ŒF1ŒTU combine(ŒeA 8+B_-1Œ’ŒwN>î’’€ $†YXŽá†6 µ¾†ÀÒŽÁcollect(Aî’x-A+Bî’x,x)™”Ç¿’\A’öœô˜Ñ¡Q’4¦x-Ž1RˆŽ3=A+BŒ'-7=-AŒ3A,BRFŽ=7Ž,’#ŽJ”#z4ŠzŒˆ“¨N(°FinaForm¸$N†Graph2D†Ü†& 3ŠðˆLISTSYSˆü†@4ˆ<Modify 0ˆPˆ<STATCALC TˆdˆŒ< \\ˆxSequenceˆŒ,ˆxSheetˆOä|’ŠŒ`’o lveEqˆˆ´†~`wràˆ´(Upˆì’tupFLG1ø(Š<†Lis†{ D‰ˆPic†dÜViewWin†ˆˆŒ_osve†v‡4¤xä‰‰°Œä’¼ ä’È´ä’ÔÈäŽP à‰ †ä† † ‡^†— ’ø’†¬!’<’P’d(’†u4’ˆ2Š@’†rL’†rX’†rd’ Üp’!ð|† "‘ˆ† #‘”† $‘, † %‘@¬† &‘T¸† '‘hÄ’‰‹Ð†)‘Ü† 0*‘¤è¸†ä+†ô† †,ˆŒ-(†„.<† 0P$† 1d†%†%2x<†3ŒH† 4 T† 5´`† EÈl† F†Öx’ˆZŠó„†ŽI†Ö† J†Öœ† K†Ö¨† L†Ö´† M†ÖÀ† N†ÖÌ† O‘|Ø† P†Öä† Q†Öð‡0R‹¸†Öü††Ñ†å S††‡Oˆ˜†]‡[ †A ˆ^†ˆÖ_†(†ˆ´,†a†0†b†4†‰u8’Œ•†D†Í†P†Î†\†‰hh†×‡¸t’Ø†€†Ù†Œ†Ú†˜†Û†K¤‘h Financial‡‚Forma†n †ˆ† †ˆŒE‡¥” systemä]listˆŠ^]=’_Œ†`Šaˆ" b~LÁŽŽž¾ þ@þ€þÀÿÏ@ÁŒL ÿ@ÿx‡¸°:ŒŽXŠ”XÖ¸Œ»†a†ö seq_h†b†NewFolde‹ ˆ3 ’ ˆÔ’Ó†0’ŠÎ ” —H††‡î<ˆxÒ<ŒÄˆˆ†š<‡’“ ö<ö<þxþðÿ,ÿh†<N†‰†Œ †ˆo† †0†!@†0PSheet1úê¬^Š2ž3ž 4†5ž ŒH3DÊ|èš|š†††Š˜| “i™” ™†2††+Š Ž ‘6E ‰9ŽÀ‰`†$«d«yŽ †j€« ‰µ†G†5 †††oŠŽ †`–P2Æ$´$’y–p”x”–<” ™€–`’œ0˜ä(1…0qy`ˆä#Y‡uYƒˆH˜–˜œšHª„Æ$ÎH™Œ™˜žˆÉ†v Œ˜ ’ˆQ–Â9ÂZÂ{ÂœÂ½¶Þ˜Ø¬ð†ˆü †c’e5‰yˆ”–œ™8Vˆ»\ˆÄHint to use CASËˆß†îŒ+˜ Rˆ expand(Œ3x-7ŽxŒ&2Œ.-xŒ7 ,x)R975Œ+-ŽR4’PŒ|1ŠŠŒ‰ˆ”ÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[LÁŽŽž¾ ¤@LÁŽŽž¾ þ@þ€þÀÿÿ@ÿxLÁLŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emLÁŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úê¬^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èê¬^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™††Š Ž ’2 Ð<Ü$†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ `”˜$’.ˆ>(1…0qy`ˆH#Y‡uYƒ†U ˜–0–šH®Æ$ÊHš©š¶´¨5°´þaþ ‰¼†Œ˜ °˜’®`–$ ™†OŠq[Œ;†ˆD Try your own.\ŒCAS CalculatorËˆ3†7ßŠˆ¹RˆrŽOŠÍÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[LÁŽŽž¾ ¤@LÁŽŽž¾ þ@þ€þÀÿÿ@ÿxLÁLŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emLÁŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úê¬^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èê¬^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™††Š Ž ’2 Ð<Ü$†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ `”˜$’.ˆ>(1…0qy`ˆH#Y‡uYƒ†U ˜–0–šH®Æ$ÊHš©š¶´¨5°´þaþ ‰¼†Œ˜ °˜’®`–$ ™†OŠq[Œ;ŽeAct020016Partial Fraction 2.EAC0100000017e9É Partial Fraction 2.EAC† .ACTˆ3ˆ7††Š Ž $E †(Œ'[ˆ1¤s†ˆIrreducible Quadratic F†šorsŽ%ŽG [Ž? Find the pŽbfÕof †³ˆ±3í¸Œ3Ž<-í¸2Œ+í¸’4(”42Žp+1)ž3.–¦‰` We write[þ¦+1)2[Ž=ŒAí¸+BŽí¸’,Œ4+13+3C†3Dº5–s’r}Aî’x”3Ž_ +ˆ+B† „ +B+C†3–u¢%Èt’43Œ4Œo ô+Œ6A+C<ŠÔ‚+ Compare the coefficients.[Ž3=A£-1=B®1=Œ~0=B+D†A,B,C,D[Œ îŒA=3,B=-1,C=-2,D=1[Œ5ŽThe partial fraction is[ŽO3í¸Œ3Žc-í¸2Œ‡+í¸’4(”42Ž—+1)H2[^=Œ\†g-1ŽÃ¤_++Ž3 -2í¸+1º6¼2\/CAS CalculatorË‰‡ß‹h Rˆcombine(ŒAí¸+BŽ í¸Œ*2Œ2+1Ž<+3C†3Dº5žG)RmAŒ•î’ŽŸx73t¨.-–$ŽàB´SŽœ+ž,š@C²eAŠø¢¯’\g”ÿ‹~•llect‡Õ+ŠAŒî’ŽxŽˆ$%B’%7xŽ2’/œ,š@C²eŽDŒŽ,x)”¤fŽ1’R†3†6†:œÖ’`´© ¢å3”Ô¢æœÂ¤#«5âå‡· 3=AŠ -1=BŒ1=A+CŒ0=B+DŒ#A,B,C,DRŒŽD=ŒL3ŒT,”#Ž\=-Œm1–,Ž}¤-2”-Œ·Žœ’{1RˆØŒÔˆâÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[LÁŽŽž¾ ¤@LÁŽŽž¾ þ@þ€þÀÿÿ@ÿxLÁLŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emLÁŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úê¬^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èê¬^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™††Š Ž ’2 Ð<Ü$†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ `”˜$’.ˆ>(1…0qy`ˆH#Y‡uYƒ†U ˜–0–šH®Æ$ÊHš©š¶´¨5°´þaþ ‰¼†Œ˜ °˜’®`–$ ™†OŠq\Š;Hint to use CASËˆ.†#ßŒšH Rˆ expand(Ž3xŒ3Ž%-”2Œ8+xŽB(”12ŽV+1)ž1 ,x)R†kŽn3Œ‡î’ŒxŒs-Œ 1”,xž„+$4˜Z©¶ZÈ\‘ 2‹76‰A‡EÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[LÁŽŽž¾ ¤@LÁŽŽž¾ þ@þ€þÀÿÿ@ÿxLÁLŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emLÁŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úê¬^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èê¬^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™††Š Ž ’2 Ð<Ü$†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ `”˜$’.ˆ>(1…0qy`ˆH#Y‡uYƒ†U ˜–0–šH®Æ$ÊHš©š¶´¨5°´þaþ ‰¼†Œ˜ °˜’®`–$ ™†OŠq[Œ;†ˆD Try your own.\ŒCAS CalculatorËˆ3†7ßŠˆ¹RˆrŽOŠÍÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[LÁŽŽž¾ ¤@LÁŽŽž¾ þ@þ€þÀÿÿ@ÿxLÁLŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emLÁŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úê¬^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èê¬^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™††Š Ž ’2 Ð<Ü$†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ `”˜$’.ˆ>(1…0qy`ˆH#Y‡uYƒ†U ˜–0–šH®Æ$ÊHš©š¶´¨5°´þaþ ‰¼†Œ˜ °˜’®`–$ ™†OŠq[Œ;ŽeAct020016Partial Fraction 3.EAC0100000017f9É Partial Fraction 3.EAC† .ACTˆ3ˆ7††Š Ž $E †(Œ'[ˆ1¤s†ˆRaˆƒˆŽunŠŽŽŽ; [Œ3Find the pŽVfÉof †§ˆ¥í¸Œe3Ž;-í¸2Œ‚+í¸”2 †2-Ž*.–œ‰J(DivideŠŒdenominator byŠŸnumerˆ.[þ–”´ -í¸-2Ž = í¸+Œ3í¸Ží¸Œ02˜8[ŒEŽFactor the numera†.[Ž_ fŠ(¤NŠ†)=Œ–x’”î’’+1’qŽ² We write f†¬3ŽØ†å Á+Æß=ß°8Žß—t”à††á‘-˜tA¤8+ BŒí¸+1[Œ=x+Œ"A+Ž$ î’x+A-2î’B’x-2Ž5î’2x†KŒ_Ž!Compare the coefficients.[Žz3=’o0=†mŽ A,Bž îŒA=2,B=”nŽÁT†g†ptial fraction is ã3í¸3-í¸2 +í¸’4(”4ö+1)H2[^=‡O‘bŽJ‡b“,’1—\,CAS CalculatorËˆÜ†àß‰³H Rˆ collect(í¸Œ3Ž-%”2Œ7+í¸,í¸^2-í¸-2)R†P†SUxŒ]î’–-œ+”0ž_’+Žo–+3’[lšÐ factor–ÏŽSšª†—œ« rŒ» ±41CBcombine(SA6‰g†ÁB’+1„Œ–‰A—D–ç“5AŽ+ŽBŒî’ŽxŽ%-’#2 #B’’0¢.¤$+Ž‰1Rˆˆ‡Žˆ collect(Ž¤¤+MþÆÆB,x)þÉˆÉŽÉ”&’¢Ád¢Ô±u B† xŽ-Ž2Œî’¤$+Ž41Rˆ;ŽG3=A+BŒS0=A-2Ž A,BR’PAŽP=œt,’"ŽK’"ŒrŒ³ˆ·ÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[LÁŽŽž¾ ¤@LÁŽŽž¾ þ@þ€þÀÿÿ@ÿxLÁLŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emLÁŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úê¬^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èê¬^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™††Š Ž ’2 Ð<Ü$†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ `”˜$’.ˆ>(1…0qy`ˆH#Y‡uYƒ†U ˜–0–šH®Æ$ÊHš©š¶´¨5°´þaþ ‰¼†Œ˜ °˜’®`–$ ™†OŠq\Š;Hint to use CASËˆ.†#ßŽšðRˆ4Œ4expand(Ží¸ŒP3Ž%-¦2Œu+í¸¦;Ž-í¸-* ,x)RkxŒD+8¢-œp++1¤GŠâ‰’ÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[LÁŽŽž¾ ¤@LÁŽŽž¾ þ@þ€þÀÿÿ@ÿxLÁLŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emLÁŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úê¬^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èê¬^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™††Š Ž ’2 Ð<Ü$†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ `”˜$’.ˆ>(1…0qy`ˆH#Y‡uYƒ†U ˜–0–šH®Æ$ÊHš©š¶´¨5°´þaþ ‰¼†Œ˜ °˜’®`–$ ™†OŠq[Œ;†ˆD Try your own.\ŒCAS CalculatorËˆ3†7ßŠˆ¹RˆrŽOŠÍÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[LÁŽŽž¾ ¤@LÁŽŽž¾ þ@þ€þÀÿÿ@ÿxLÁLŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emLÁŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úê¬^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èê¬^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™††Š Ž ’2 Ð<Ü$†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ `”˜$’.ˆ>(1…0qy`ˆH#Y‡uYƒ†U ˜–0–šH®Æ$ÊHš©š¶´¨5°´þaþ ‰¼†Œ˜ °˜’®`–$ ™†OŠq[Œ;ŽeAct010008main.ACT0001020012eActivity Save.EAC0100000016c2É Partial Fraction 1.EAC† .ACTˆ3ˆ7††Š Ž $E †(Œ'[ˆ1¤s†ˆDistinct Linear F†”orsŽŽA [Œ9Find the pŽ\fÏŽ"of Œg3x-7Ž:xŒ}2Œ…-xŒŽ.–xˆfŒŠhdenomina†Ÿ.[‡‰ fŠ°(x’SŽ -x)=xî’Œux-ó\We write[Ô§ =Œ AŽxŽ+BŒx-1[Ž =Ž= Aî’x-A+B†Ž?xî’¶9†6Œ‚ŠD®?Œ¥!Compare the coefficients.[Ž¼3=”W-7=-ŽÝA,BŽ‰ îŒ A=7,B=-4ŽfŽnT†f†otial fraction is[‘53x-7‘0x12Œz-xŽ•f7¡f-4”î\ŒîCAS CalculatorËˆž†¢ß \ Rˆfactor(xŒ2Œ-x)R)xî’ŽxŽ>-ŒF1ŒTU combine(ŒeA 8+B_-1Œ’ŒwN>î’’€ $†YXŽá†6 µ¾†ÀÒŽÁcollect(Aî’x-A+Bî’x,x)™”Ç¿’\A’öœô˜Ñ¡Q’4¦x-Ž1RˆŽ3=A+BŒ'-7=-AŒ3A,BRFŽ=7Ž,’#ŽJ”#z4ŠzŒˆ“¨N(°FinaForm¸$N†Graph2D†Ü†& 3ŠðˆLISTSYSˆü†@4ˆ<Modify 0ˆPˆ<STATCALC TˆdˆŒ< \\ˆxSequenceˆŒ,ˆxSheetˆOä|’ŠŒ`’o lveEqˆˆ´†~`wràˆ´(Upˆì’tupFLG1ø(Š<†Lis†{ D‰ˆPic†dÜViewWin†ˆˆŒ_osve†v‡4¤xä‰‰°Œä’¼ ä’È´ä’ÔÈäŽP à‰ †ä† † ‡^†— ’ø’†¬!’<’P’d(’†u4’ˆ2Š@’†rL’†rX’†rd’ Üp’!ð|† "‘ˆ† #‘”† $‘, † %‘@¬† &‘T¸† '‘hÄ’‰‹Ð†)‘Ü† 0*‘¤è¸†ä+†ô† †,ˆŒ-(†„.<† 0P$† 1d†%†%2x<†3ŒH† 4 T† 5´`† EÈl† F†Öx’ˆZŠó„†ŽI†Ö† J†Öœ† K†Ö¨† L†Ö´† M†ÖÀ† N†ÖÌ† O‘|Ø† P†Öä† Q†Öð‡0R‹¸†Öü††Ñ†å S††‡Oˆ˜†]‡[ †A ˆ^†ˆÖ_†(†ˆ´,†a†0†b†4†‰u8’Œ•†D†Í†P†Î†\†‰hh†×‡¸t’Ø†€†Ù†Œ†Ú†˜†Û†K¤‘h Financial‡‚Forma†n †ˆ† †ˆŒE‡¥” systemä]listˆŠ^]=’_Œ†`Šaˆ" b~LÁŽŽž¾ þ@þ€þÀÿÏ@ÁŒL ÿ@ÿx‡¸°:ŒŽXŠ”XÖ¸Œ»†a†ö seq_h†b†NewFolde‹ ˆ3 ’ ˆÔ’Ó†0’ŠÎ ” —H††‡î<ˆxÒ<ŒÄˆˆ†š<‡’“ ö<ö<þxþðÿ,ÿh†<N†‰†Œ †ˆo† †0†!@†0PSheet1úê¬^Š2ž3ž 4†5ž ŒH3DÊ|èš|š†††Š˜| “i™” ™†2††+Š Ž ‘6E ‰9ŽÀ‰`†$«d«yŽ †j€« ‰µ†G†5 †††oŠŽ †`–P2Æ$´$’y–p”x”–<” ™€–`’œ0˜ä(1…0qy`ˆä#Y‡uYƒˆH˜–˜œšHª„Æ$ÎH™Œ™˜žˆÉ†v Œ˜ ’ˆQ–Â9ÂZÂ{ÂœÂ½¶Þ˜Ø¬ð†ˆü †c’e5‰yˆ”–œ™8Vˆ»\ˆÄHint to use CASËˆß†îŒ+˜ Rˆ expand(Œ3x-7ŽxŒ&2Œ.-xŒ7 ,x)R975Œ+-ŽR4’PŒ|1ŠŠŒ‰ˆ”ÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[LÁŽŽž¾ ¤@LÁŽŽž¾ þ@þ€þÀÿÿ@ÿxLÁLŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸LÁŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” 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