Download
Share
Print this page
Texas Instruments TI-84 Plus Manual
  1. Manuals
  2. Brands
  3. Texas Instruments Manuals
  4. Calculator
  5. TI-84 - Plus - Edition Graphing Calculator
  6. Manual

Texas Instruments TI-84 Plus Manual

Exploring mathematics with a graphing calculator, an introduction
Hide thumbs Also See for TI-84 Plus:

Advertisement

Quick Links

Download this manual See also: Maintenance and Care, Manual
Koen Stulens
Exploring mathematics
with a graphing calculator, an introduction

Advertisement

loading
Need help?

Need help?

Do you have a question about the TI-84 Plus and is the answer not in the manual?

Questions and answers

Related Manuals for Texas Instruments TI-84 Plus

Summary of Contents for Texas Instruments TI-84 Plus

  • Page 1 Koen Stulens Exploring mathematics with a graphing calculator, an introduction...
  • Page 2 Exploring mathematics with a graphing calculator, an introduction Koen Stulens TI Technology – Beyond Numbers...
  • Page 3 © 2006, Koen Stulens – Texas Instruments Incorporated Permission is hereby granted to teachers to reprint or photocopy in classroom, workshop, or seminar quantities the pages or sheets in this work that carry a TI copyright notice. Such copies may not be sold, and further distribution is expressly prohibited in any other form or by any other electronic or mechanical means, including any information storage or retrieval system without written permission.
  • Page 4 Content N==qÜÉ=âÉóë=KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK R== O==bäÉãÉåí~êó=~Åíáçåë=KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK S= = OKN== ` ~äÅìä~íáçå= KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK S= = OKO=jÉåìë=KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK T= = OKP=cìåÅíáçå=dê~éÜáåÖ= KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK V= P==j~íêáÅÉë=~åÇ=ëóëíÉãë=çÑ=Éèì~íáçåë= KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK NO= = PKN== j ~íêáÅÉë= KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK NO= = PKO== p óëíÉãë=çÑ=Éèì~íáçåë= KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK NQ= Q= iáëíë= KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK NR= = QKN== a ÉÑáåáåÖ=äáëíë= KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK NR= = QKO== ` ~äÅìä~íáçåë=ïáíÜ=äáëíë=KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK NS= = QKP=içÖáÅ~ä=çéÉê~íáçåë=ïáíÜ=äáëíë=KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK NS = QKQ== l éÉê~íáçåë=ïáíÜ=äáëíë=KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK NS...
  • Page 5 N qÜÉ=âÉóë= dê~éÜáåÖ=âÉóë= bÇáí=âÉóë ^Çî~åÅÉÇ== cìåÅíáçå=âÉóë== pÅáÉåíáÑáÅ=âÉóë== ^=âÉó=çå=íÜÉ= Ü~ë=ãçëíäó=ëÉîÉê~ä=ÑìåÅíáçåëK= TI-83/84 Plus= =====mêáã~êó=ÑìåÅíáçåW==çå=íÜÉ=âÉó=== =====pÉÅçåÇ~êó=ÑìåÅíáçåW==äÉÑí=~ÄçîÉ=íÜÉ=âÉó= íÜÉ=bìäÉê=åìãÄÉê= 2nd[e] === =====qÜáêÇ=ÑìåÅíáçåW==êáÖÜí=~ÄçîÉ=íÜÉ=âÉó== íÜÉ=î~êá~ÄäÉ= ALPHA[E] ==== lå=íÜÉëÉ=Å~äÅìä~íçêë=óçì=Å~å=çåäó=éêÉëë=çåÉ=âÉó=~í=~=íáãÉK=...
  • Page 6 O bäÉãÉåí~êó=~Åíáçåë= OKN==`~äÅìä~íáçå= qÜÉ=ï~ó=óçì=Å~äÅìä~íÉ=ïáíÜ=íÜÉ== =áë=íÜÉ=ë~ãÉ=~ë=çå=~=ëÅáÉåíáÑáÅ=Å~äÅìä~íçêK=qç= TI-83/84 Plus éÉêÑçêã=íÜÉ=Å~äÅìä~íáçåë=ãÉåíáçåÉÇ=ÄÉäçï=óçì=àìëí=éêÉëë=íÜÉ=âÉóë=áå=íÜÉ=ë~ãÉ=çêÇÉê=óçì=ëÉÉ=íÜÉ= Å~äÅìä~íáçåë=çå=íÜÉ=ÜçãÉ=ëÅêÉÉåK=vçì=Å~êêó=çìí=óçìê=áåéìí=Eçê=~=Åçãã~åÇF=Äó=éêÉëëáåÖ= ENTER =============== Ó==Z==íÜÉ=ÇáÑÑÉêÉåÅÉ= =Z==íÜÉ=çééçëáíÉ ====== ====== √ kçíáÅÉ=íÜ~í=áÑ=óçì=éêÉëë= =çê= ~ìíçã~íáÅ~ääó=~=Ñáêëí=Äê~ÅâÉí=~ééÉ~êëK=fíÛë=åçí=åÉÅÉëë~êó=íç=éä~ÅÉ=íÜÉ= ëÉÅçåÇ=Äê~ÅâÉí=Äìí=Ñêçã=~=éÉÇ~ÖçÖáÅ~ä=éçáåí=çÑ=îáÉï=áíÛë=êÉÅçããÉåÇÉÇK= ================ qÜÉ= =áë=~=Öê~éÜáåÖ=Å~äÅìä~íçê=íÜ~í=ÇçÉë=~ää=áíë=Å~äÅìä~íáçåë=åìãÉêáÅ~ääó=~åÇ=áå=áíë= TI-83/84 Plus ëí~åÇ~êÇ=ãçÇÉ=áí=ìëÉë=Ñäç~íáåÖ=éçáåí=åìãÄÉêëK==pçãÉíáãÉë=íÜáë=ÖáîÉë=ëíê~åÖÉ=êÉëìäíëW== =============== = êÉÅ~ää=éêÉîáçìë=éÉêÑçêãÉÇ=Å~äÅìä~íáçåë= 2nd[ENTRY] = ÅäÉ~ê=íÜÉ=áåéìí=äáåÉ=çê=íÜÉ=ÜçãÉ=ëÅêÉÉå CLEAR...
  • Page 7 OKO jÉåìë= qÜÉ=~Çî~åÅÉÇ=ÑìåÅíáçå=âÉóë=Åçåí~áå=ãÉåìëK=qÜÉ=ìëÉ=çÑ=ãÉåìë=ïÉ=ïáää=Éñéä~áå=Äó=ãÉ~åë=çÑ=íÜÉ= MATH ãÉåìK=== ^ÑíÉê=éêÉëëáåÖ= íÜÉ=ÜçãÉ=ëÅêÉÉå=ïáää=ÄÉ=êÉéä~ÅÉÇ=Äó=íÜÉ= ãÉåì. MATH MATH çê W å~îáÖ~íáçå=ÄÉíïÉÉå=íÜÉ=ëìÄãÉåìë= çê= å~îáÖ~íáçå=áå=~=ëìÄãÉåì qÜÉ= ãÉåì=Åçåí~áåë=íÜÉ=ÑçääçïáåÖ=Ñçìê=ëìÄãÉåìëW MATH qç=ëÉäÉÅí=~=Åçãã~åÇ=óçì=Å~å=éêÉëë=íÜÉ=ÇÉëáêÉÇ=åìãÄÉê=Eçê=äÉííÉêF=çê=óçì=Å~å=ã~êâ=íÜÉ=Åçãã~åÇ=~åÇ= éêÉëë= ENTER Last Answer - 2nd[ANS] = íÜÉ=î~êá~ÄäÉ=íÜ~í=Åçåí~áåë=íÜÉ=ä~ëí=êÉëìäí E =============== ====íÜÉ=ÅçãéäÉñ=åìãÄÉê=á 2nd[i] vçì=Å~å=~äï~óë=äÉ~îÉ=~=ãÉåì=ïáíÜçìí=ã~âáåÖ=~=ÅÜçáÅÉ=Äó=éêÉëëáåÖ= =çê= K=== CLEAR 2nd[QUIT] ====êÉíìêå=íç=ÜçãÉ=ëÅêÉÉå 2nd[QUIT]...
  • Page 8 ^Åíáîáíó=N= olpp=krj_bop cáää=áå=íÜÉ=ÑçääçïáåÖ=Åêçëë=åìãÄÉêëK=cçê=É~ÅÜ=ÑáÖìêÉI=ÇÉÅáã~ä=éçáåí=~åÇ=ãáåìë=ëáÖå=óçì=åÉÉÇ=~=ëÉé~ê~íÉ= ÄçñK==rëÉ=~å=~ÅÅìê~Åó=çÑ=íïç=ÇÉÅáã~äë=EïáíÜçìí=êçìåÇáåÖ=~åÇ=~ë= MODE FLOAT 8 − çê=3: =çê= 8 = 3 2nd[EE]6 2nd[10 MATH<MATH> `olpp 9710 ⋅ − − NK== O.== QK== ( 81) ⋅ 25 63 ⎛ ⎞ ⎜ ⎟ − ⋅ ⋅ (13.6 10 )(2.8 10 ) QK=== PK== RK==...
  • Page 9 OKP cìåÅíáçå=dê~éÜáåÖ= ~K aÉÑáåáíáçå=çÑ=~=ÑìåÅíáçå= mêÉëë= =~åÇ=ÇÉÑáåÉ=íÜÉ=î~êá~ÄäÉ= ~ë=ãÉåíáçåÉÇ=ÄÉäçï=EmêÉëë= =~ÑíÉê=íÜÉ=áåéìí=çÑ=íÜÉ= ENTER ÑìåÅíáçåFK= =============== kçíáÅÉ=íÜ~í=~ÑíÉê=íÜÉ=ÇÉÑáåáíáçå=çÑ=íÜÉ=î~êá~ÄäÉ= =íÜÉ=ÅçêêÉëéçåÇáåÖ=Éèì~ä=ëáÖå=ïáää=ÄÉ=ã~êâÉÇK=qÜáë= ãÉ~åë=íÜ~í=íÜÉ=ÑìåÅíáçå= =áë=êÉ~Çó=íç=ÄÉ=éäçííÉÇK==qÜÉå=Öç=çå=ÇÉÑáåáåÖ= =~ë= >>==fí=áë=åçí=éçëëáÄäÉ=íç=íóéÉ=áå=íÜÉ=î~êá~ÄäÉ= ~ë= ÑçääçïÉÇ=Äó= =>>= pÉäÉÅí= =çìí=çÑ=íÜÉ=î~êá~ÄäÉ=ãÉåìW=== Á= VARS<Y-vars> 1:Function ÄK dê~éÜ=çÑ=~=ÑìåÅíáçå= ^ÑíÉê=íÜÉ=ÇÉÑáåáíáçå=çÑ=~=ÑìåÅíáçå=óçì=Å~å=éäçí=~=ÑìåÅíáçå=Äó=ëÉäÉÅíáåÖ=~å=~ééêçéêá~íÉ=ïáåÇçï=áå=íÜÉ= ãÉåìK= ZOOM pÉäÉÅí=Ñáêëí= ~åÇ=íÜÉå= K==`çãé~êÉ=ÄçíÜ=êÉëìäíëK= 6:Zstandard= 5:Zsquare ZStandard Zsquare fÑ=óçì=âåçï=íÜÉ=ïáåÇçï=ëÉííáåÖë=óçì=Å~å=éäçí=íÜÉ=ÑìåÅíáçå=áããÉÇá~íÉäó=Äó=éêÉëëáåÖ= GRAPH vçì=Å~å=íìêå=çÑÑ=çê=ÇÉëÉäÉÅí=íÜÉ=ÑìåÅíáçåë= =~åÇ= =Eåçí=íç=ÄÉ=éäçííÉÇF=Äó=éä~ÅáåÖ=íÜÉ=Åìêëçê=çå=íÜÉ= Éèì~ä=ëáÖåë=~åÇ=éêÉëë=...
  • Page 10 vçì=Å~å=~äëç=ÇÉÑáåÉ=íÜÉ=ïáåÇçï=ëÉííáåÖë=ã~åì~ääó=Äó=éêÉëëáåÖ=íÜÉ= =âÉóK==cáää=áå=íÜÉ=ÑçääçïáåÖ= WINDOW ëÉííáåÖ=~åÇ=éäçí=íÜÉ=ÑìåÅíáçå= sin(x +{1,3}) =ïáíÜ=íÜÉëÉ=ëÉííáåÖëK= =============== ÅK kìãÉêáÅ~ä=Å~äÅìä~íáçåë= lå=íÜÉ=Öê~éÜ=çÑ=~=ÑìåÅíáçå=ëÉîÉê~ä=Å~äÅìä~íáçåë=Å~å=ÄÉ=ÇçåÉ=ìëáåÖ=íÜÉ= JãÉåì=E FK==tÉ=ïáää=áääìëíê~íÉ=íÜáë=Äó=ÖáîáåÖ=íïç= CALC 2nd[CALC] Éñ~ãéäÉëW= − == = ==aÉíÉêãáåÉ=íÜÉ=òÉêçë=çÑ=íÜÉ=ÑìåÅíáçå= ( ) 7 _Éäçï=çå=íÜÉ=äÉÑí=óçì=ëÉÉ=íÜÉ=Öê~éÜ=çÑ=íÜÉ=ÑìåÅíáçå= f =áå=~=ëí~åÇ~êÇ=ïáåÇçïK=rëÉ=íÜÉ= ZOOM Åçãã~åÇ= íç=Ääçï=ìé=íÜÉ=êÉÅí~åÖäÉ=ÄÉäçïK==mìí=íÜÉ=Åìêëçê=çå=íÜÉ=ëÅêÉÉå=ïÜÉêÉ=óçì=ï~åí=íç= 1:Zbox= éìí=íÜÉ=Ñáêëí=îÉêíÉñ=~åÇ=éêÉëë= K=aç=íÜÉ=ë~ãÉ=Ñçê=íÜÉ=çééçëáíÉ=îÉêíÉñK=qÜÉ=Éåä~êÖÉãÉåí=ïáää=ÄÉ= ENTER ëÜçïå=~ìíçã~íáÅ~ääóK= ^=Åçåíáåìçìë=ÑìåÅíáçå=ïáíÜ=éçëáíáîÉ=~åÇ=åÉÖ~íáîÉ=î~äìÉë=çå=~=ëÉÖãÉåí=Ü~ë=~=òÉêç=áå=íÜ~í=ëÉÖãÉåíK=tÉ= ïáää=Å~äÅìä~íÉ=E~ééêçñáã~íÉäóI=åìãÉêáÅ~ääóF=~=òÉêç=çÑ= f =áå=ëìÅÜ=~=ëÉÖãÉåí=ïáíÜ=íÜÉ= 2nd[CALC] 2:zero cáêëí=ÉåíÉê=íÜÉ=äÉÑí=~åÇ=íÜÉ=êáÖÜí=ÄçìåÇ=çÑ=íÜÉ=ëÉÖãÉåí=Äó=ãçîáåÖ=íÜÉ=Åìêëçê=íç=íÜÉ=ÇÉëáêÉÇ=î~äìÉ=çê=Äó= ÉåíÉêáåÖ=~=åìãÉêáÅ~ä=î~äìÉ=~åÇ=íÜÉå=éêÉëëáåÖ= K=^ÑíÉêï~êÇë=óçì=åÉÉÇ=íç=ÉåíÉê=~=ÖìÉëëI=íÜÉ=ëÉÉÇ=...
  • Page 11 ==aÉÑáåáíÉ=áåíÉÖê~ä== = 2nd[CALC] 7: ∫ f(x)dx qÜÉ=Åçãã~åÇ= =Å~äÅìä~íÉë=~=åìãÉêáÅ~ä=~ééêçñáã~íáçå=çÑ=íÜÉ=ÇÉÑáåáíÉ= áåíÉÖê~äK=== π ∫ sin( ) x dx ================================== ======= ======== ^äëç=ÜÉêÉ=óçì=Å~å=ÉåíÉê=íÜÉ=äçïÉê=~åÇ=ìééÉê=äáãáí=~ìíçã~íáÅ~ääó=çê=Äó=ëÉäÉÅíáåÖ=éçáåíë=çå=íÜÉ=Öê~éÜK=== ÇK qÜÉ=ÇÉêáî~íáîÉ=ÑìåÅíáçå= =qÜÉ=åìãÉêáÅ~ä=ÇÉêáî~íáîÉ= = qÜÉ=Åçãã~åÇ= =Å~äÅìä~íÉë=íÜÉ=åìãÉêáÅ~ä=ÇÉêáî~íáîÉ=çÑ=~=ÑìåÅíáçå=áå=~= MATH<MATH> 8:nDerive éçáåíW= EÉñéêÉëëáçåKî~êá~ÄäÉIî~äìÉxIεzFK=qÜáë=Åçãã~åÇ=~ééäáÉë=íÜÉ=ÑçääçïáåÖ=Ñçêãìä~=ïáíÜ=íÜÉ= nDerive ε ëí~åÇ~êÇ=î~äìÉ 0.001 ε ε − − ∆ ⎛ ⎞ d f x ≈...
  • Page 12 ^Åíáîáíó=P= ^å=~äÖÉÄê~áÅ=çÇÇáíó NK aÉÑáåÉ=íÜÉ=ÑìåÅíáçå= =X^3-5x^2+2x+10 mäçí=íÜáë=ÑìåÅíáçå=ïáíÜ=íÜÉ=ïáåÇçï=ëÉííáåÖë= 4:Zdecimal =~åÇ= aÉíÉêãáåÉ=~=äáåÉ~ê=ÑìåÅíáçå= ëç=íÜ~í=íÜÉ=Öê~éÜë=çÑ= Ü~îÉ=íÜêÉÉ=áåíÉêëÉÅíáçå= éçáåíëK mìí=íÜÉ=ñ=ÅççêÇáå~íÉ=çÑ=íÜÉ=áåíÉêëÉÅíáçå=éçáåíë=áåíç=íÜÉ=î~êá~ÄäÉ= =Éå= STO Z=ëíçêÉ=~=î~äìÉ=áå=~=î~êá~ÄäÉ `çãéìíÉ=íÜÉ=ëìã= A+B+C `çãé~êÉ=íÜÉ=êÉëìäíë=çÑ=~ää=íÜÉ=ëíìÇÉåíëK=`çåÅäìëáçå\ bñéä~áå=~äÖÉÄê~áÅ~ääó> táíÜ=íÜÉ= =ÑìåÅíáçå=óçì=Å~å=ãçîÉ=~êçìåÇ=çå=íÜÉ=Öê~éÜK= TRACE qç=íìêå=çÑÑ=íÜÉ= ÑìåÅíáçå=óçì=Å~å=éêÉëë= =çê= TRACE GRAPH CLEAR...
  • Page 13 P j~íêáÅÉë=~åÇ=ëóëíÉãë=çÑ=Éèì~íáçåë= PKN j~íêáÅÉë= ~K aÉÑáåáíáçå=çÑ=~=ã~íêáñ= qÜÉ=É~ëáÉëí=ï~ó=íç=ÇÉÑáåÉ=~=ã~íêáñ=áë=îá~=íÜÉ=ã~íêáñ=ÉÇáíçêI= K==vçì=Å~å=ÇÉÑáåÉ=íÉå= MATRX<EDIT> ÇáÑÑÉêÉåí=ã~íêáÅÉëI= =íÜêçìÖÜ= I=çå=~== K==^ÑíÉê=íÜÉ=ëÉäÉÅíáçå=çÑ=íÜÉ=å~ãÉI= TI-83/84 Plus óçì=Å~å=ÉåíÉê=íÜÉ=ÇáãÉåëáçå=çÑ=íÜÉ=ã~íêáñK==cáêëí=ÉåíÉê=íÜÉ=åìãÄÉê=çÑ=êçïëI=ÑçääçïÉÇ=Äó= =~åÇ= ENTER íÜÉå=Çç=íÜÉ=ë~ãÉ=Ñçê=íÜÉ=åìãÄÉêë=çÑ=ÅçäìãåëK==^ìíçã~íáÅ~ääó=~=ã~íêáñ=çÑ=íÜÉ=ÇáãÉåëáçå=ÉåíÉêÉÇ= ~ééÉ~êë=ïáíÜ=~ää=áíë=ÉäÉãÉåíë=Éèì~ä=íç=òÉêçK= cçê=É~ÅÜ=ÉäÉãÉåí=óçì=Å~å=ÉåíÉê=~=åìãÄÉê=ÑçääçïÉÇ=Äó= K=cçê=Éñ~ãéäÉI=~ÑíÉê=óçì=Ü~îÉ=ÉåíÉêÉÇ=íÜÉ= ENTER Ñáêëí=ÉäÉãÉåí=íÜÉ=Åìêëçê=ïáää=àìãé=~ìíçã~íáÅ~ääó=íç=íÜÉ=åÉñí=ÉäÉãÉåí=íç=ÅçåíáåìÉ=íÜÉ=ÉåíÉêáåÖK= k~îáÖ~íáçå=ÄÉíïÉÉå=íÜÉ=ÉäÉãÉåíë=áë=éçëëáÄäÉ=Äó=íÜÉ=~êêçï=âÉóëK= ================= fÑ=óçì=ï~åí=íç=ÅÜ~åÖÉ=íÜÉ=ÇáãÉåëáçå=çê=ëçãÉ=ÉäÉãÉåíë=~ÑíÉê=ÇÉÑáåáíáçåI=êÉçéÉå=íÜÉ=ã~íêáñ=áå=íÜÉ= ã~íêáñ=ÉÇáíçêK= vçì=Å~å=~äëç=ÇÉÑáåÉ=~=ã~íêáñ=Ñêçã=íÜÉ=ÜçãÉ=ëÅêÉÉå=~ë=ÑçääçïëW== K=qÜÉ=ìëÉ=çÑ=ã~íêáÅÉë=áå=ÉñéêÉëëáçåë=EëÉÉ=åÉñí=ëÉÅíáçåF= [[1,-1][3,5]] ~åÇ=íÜÉ=~ëëáÖåãÉåí=çÑ=~=å~ãÉ=íç=~=ã~íêáñ=Ñêçã=íÜÉ=ÜçãÉ=ëÅêÉÉå=Ü~ë=íç=ÄÉ= ÇçåÉ=îá~=íÜÉ=ëìÄ=ãÉåì= MATRX<NAMES> ÄK `~äÅìä~íáçåë=ïáíÜ=ã~íêáÅÉë= tÉ=ïáää=áääìëíê~íÉ=ëçãÉ=ÉäÉãÉåí~êó=Å~äÅìä~íáçåë=ïáíÜ=íÜÉ=ÑçääçïáåÖ=ã~íêáÅÉëW= ⎡ ⎤ ⎡ ⎤ 4 3 2 −...
  • Page 14 PKO póëíÉãë=çÑ=Éèì~íáçåë= qÜÉ=ëìÄãÉåì= =Åçåí~áåë=ÑìåÅíáçåë=Äó=ïÜáÅÜ=ïÉ=Å~å=ëçäîÉ=ëóëíÉãë=çÑ=äáåÉ~ê=Éèì~íáçåëK= MATRX<MATH> ^å=Éñ~ãéäÉW= ⎧ ⎪ ⎨ ⎪ − + ⎩ qÜÉ=Åçãã~åÇ= =ÖÉåÉê~íÉë=íÜÉ=êçï=êÉÇìÅÉÇ=ÉÅÜÉäçå=Ñçêã=çÑ=~=ã~íêáñ=EëÉÉ=Éñ~ãéäÉ=~ÄçîÉF=~åÇ= B:rref( =íÜÉ=êÉÇìÅÉÇ=ÉÅÜÉäçå=ÑçêãK==táíÜ=íÜÉ=Åçãã~åÇë= =íÜêçìÖÜ= =EÉäÉãÉåí~êó=êçï=çéÉê~íáçåëF= A:ref( óçì=Å~å=íê~åëÑçêã=~=ã~íêáñ=ëíÉé=Äó=ëíÉé=áåíç=áíë=êÉÇìÅÉÇ=ÉÅÜÉäçå=Ñçêã=~ë=ëÜçïå=ÄÉäçïK=...
  • Page 15 Q iáëíë= QKN aÉÑáåáåÖ=äáëíë= ~K cêçã=íÜÉ=ÜçãÉ=ëÅêÉÉå= 2nd[{] 1,2,3,4,5 2nd[}] STO >>==vçì=Å~åÛí=ìëÉ=íÜÉ=äÉííÉê= íç=ïçêâ=ïáíÜ=äáëí= >>= ==çê== 2nd[LIST]<NAMES> 2nd[LIST]<OPS> B: ================ qÜÉ= Ü~ë=ëáñ=ëí~åÇ~êÇ=äáëíë=áå=áíë=ãÉãçêóW= =íÜêçìÖÜ= K=qÜÉëÉ=äáëíë=~êÉ=çå=íÜÉ= TI-83/84 Plus= âÉóë=~ÄçîÉ=íÜÉ=åìãÉêáÅ~ä=âÉóë= =íÜêçìÖÜ= K==== 2nd[L ], …, 2nd[L =STAT ÄK==få=íÜÉ ÉÇáíçê STAT 1:Edit qÜÉ= =ÉÇáíçê=áë=~=âáåÇ=çÑ=ïçêâëÜÉÉí=áå=ïÜáÅÜ=óçì=Å~å=ÉåíÉê=Ç~í~=äáâÉ=áå=~=ëéêÉ~ÇëÜÉÉíK== STAT JâÉó=== ===ÇÉäÉíÉë=~=ÅÉää=çìí=çÑ=~=äáëí=áå=íÜÉ= =ÉÇáíçê= STAT ===áåëÉêíë=~=ÅÉää=EÅÉää=Z=...
  • Page 16 QKO `~äÅìä~íáçåë=ïáíÜ=äáëíë= aÉÑáåÉ= ~ë= ~åÇ=Çç=íÜÉ=ÑçääçïáåÖ=Å~äÅìä~íáçåëW= ô 2,3,4} ==~åÇ 12/L =============== QKP içÖáÅ~ä=çéÉê~íáçåë=ïáíÜ=äáëíëW=2nd[TEST] === táíÜ=íÜÉ=Åçãã~åÇ= ==áå=ÅçãÄáå~íáçå=ïáíÜ=~=íÉëí=óçì=Å~å=Éñ~ãáåÉ= 2nd[LIST]<MATH> 5:sum( Üçï=ã~åó=ÉäÉãÉåíë=ãÉÉí=~=ÅÉêí~áå=ÅçåÇáíáçåK= QKQ léÉê~íáçåë=ïáíÜ=äáëíëW=2nd[LIST]<OPS>= tÉ=ïáää=í~âÉ=~=äççâ=~í=ëçãÉ=çÑ=íÜÉëÉ=Åçãã~åÇëK= ==== =ëçêíë=~=äáëí=áå=~å=^ëÅÉåÇáåÖ=çêÇÉê= SortA( === =ëçêíë=~=äáëí=áå=~=aÉëÅÉåÇáåÖ=çêÇÉê= SortD( =ÖÉåÉê~íÉë=~=ëÉèìÉåÅÉ=çÑ=åìãÄÉêë= seq( == =ÇÉíÉêãáåÉë=íÜÉ=Åìãìä~íáîÉ=ëìãë=çÑ=íÜÉ=ÉäÉãÉåíë=çÑ=~=äáëí== cumSum( =ÇÉíÉêãáåÉë=íÜÉ=ÇáÑÑÉêÉåÅÉ=çÑ=ëìÅÅÉëëáîÉ=ÉäÉãÉåíë=çÑ=~=äáëí= ∆ List(=...
  • Page 17 QKR iáëíë=~åÇ=Ñçêãìä~ë= aÉÑáåÉ= =~ë= seq(X ,X,1,7) ================ aÉÑáåÉ= =~ë= ~åÇ= =~ë= " " ALPHA[ ALPHA[ ================ ==Z==íÜÉ=Ñçêãìä~=áë=ÄäçÅâÉÇ `Ü~åÖÉ=íÜÉ=ÅçåíÉåí=çÑ= =áåíç= K==tÜ~í=Ü~ééÉåë=ïáíÜ=íÜÉ=ÅçåíÉåí=çÑ= =Éå= seq(X,X,1,7) QKS pÅ~ííÉê=éäçí= x (t ) tÉ=ïáää=Çê~ï=~=ëÅ~ííÉê=éäçí=Ñçê=íÜÉ=ÑçääçïáåÖ=Ç~í~I=íÜÉ=ÄçìåÅÉ=çÑ=~=Ä~ääI=ïáíÜ 0.67 1.46 2nd[STAT PLOT] 1:Plot1 0.75 1.33 0.82 1.09 mìí=íÜÉ=Åìêëçê=çå= =~åÇ=éêÉëë= ENTER 0.91 0.97 0.83...
  • Page 18 R aÉëÅêáéíáîÉ=ëí~íáëíáÅë= RKN pí~íáëíáÅ~ä=î~êá~ÄäÉë= qç=Å~äÅìä~íÉ=íÜÉ=ãÉ~åI=ãÉÇá~åI=ëí~åÇ~êÇ=ÇÉîá~íáçåI=KKK=çÑ=çåÉJî~êá~ÄäÉ=Ç~í~=óçì=ìëÉ=íÜÉ=Åçãã~åÇ== çÑ=íÜÉ= =ãÉåìK=== 1:1-Var Stats= STAT<CALC> ^ÑíÉê=ÉñÉÅìíáåÖ= =EïáíÜ= STAT<CALC> 1:1Var Stats 2nd[L ={8,-3,5,0,1,4,-1} íÜÉ= Å~äÅìä~íÉÇ= î~äìÉë= ~ééÉ~ê= ~ìíçã~íáÅ~ääó= çå= íÜÉ= ëÅêÉÉåK= = qÜÉëÉ= î~äìÉë= ~êÉ= ëíçêÉÇ= áåíç= ëí~íáëíáÅ~ä= î~êá~ÄäÉë=E FK== VARS 5:Statistics... RKO eáëíçÖê~ã= tÉ=ïáää=ÅçåëíêìÅí=~=ÜáëíçÖê~ã=çÑ=íÜÉ=ÑçääçïáåÖ=Ç~í~I=íÜÉ=ëÜçÉ=ëáòÉ=çÑ=PM=~Çìäí=ãÉåI=ïÜáÅÜ=ïÉ=Ñáêëí=éìí= áåíç=äáëí=L K=== pí~êí=íÜÉ=ÅçåëíêìÅíáçå=ïáíÜ=íÜÉ=Åçãã~åÇ= 2nd[STAT PLOT] 1:Plot1...
  • Page 19 táíÜ= íÜÉ= = ÑìåÅíáçå= óçì= Å~å= åçï= ÇÉíÉêãáåÉ= íÜÉ= ÑêÉèìÉåÅó= çÑ= É~ÅÜ= ëÜçÉ= ëáòÉK= = qç= íìêå= çÑÑ= TRACE éêÉëë= =çê= TRACE CLEAR GRAPH táíÜ=íÜÉëÉ=ÑêÉèìÉåÅáÉë=óçì=Å~å=ÅçåëíêìÅí=íÜÉ=ÑçääçïáåÖ=ÑêÉèìÉåÅó=í~ÄäÉK==qç=Å~äÅìä~íÉ=íÜÉ=î~äìÉë=çÑ=íÜÉ= ëí~íáëíáÅ~ä=î~äìÉë=~åÇ=íç=éäçí=íÜÉ=ÜáëíçÖê~ã=Ä~ëÉÇ=çå=íÜÉ=ÑêÉèìÉåÅáÉë=çÑ=íÜÉ=ÇáÑÑÉêÉåí=Ç~í~=áë=ÇçåÉ=~ë= ÑçääçïëK== ===== RKP _çñ=éäçíë=============== cçê=íÜÉ=éäçííáåÖ=çÑ=~=Äçñ=éäçí=áí=áë=íÜÉ=ë~ãÉ=éêçÅÉÇìêÉ=~ë=Ñçê=íÜÉ=ÜáëíçÖê~ãK=== vçì=Å~å=ÅÜççëÉ=ÄÉíïÉÉå== ~ =ëí~åÇ~êÇ=Äçñ=éäçí=E F=~åÇ== ~=ãçÇáÑáÉÇ=Äçñ=éäçí=E rëáåÖ= íÜÉ= ÑìåÅíáçå= çå= ~= Äçñ= éäçí= éêçÇìÅÉë= íÜÉ= ÑçääçïáåÖ= ÑáîÉ= î~äìÉëW= = TRACE minX maxX...
  • Page 20 S qïç=ÇáëíêáÄìíáçåë= SKN qÜÉ=Äáåçãá~ä=ÇáëíêáÄìíáçå= pìééçëÉ=ïÉ=íÜêçï=~=ÇáÅÉ=OM=íáãÉë=~åÇ=íÜÉ=ê~åÇçã=î~êá~ÄäÉ=u=Åçìåíë=íÜÉ=åìãÄÉê=çÑ=íáãÉë=ëáñ= ëéçíë= ~ééÉ~êK= = u= Ü~ë= ~= Äáåçãá~ä= ÇáëíêáÄìíáçå= ïáíÜ= é~ê~ãÉíÉêë= å= Z= OMI= íÜÉ= åìãÄÉê= çÑ= íêá~äëI= ~åÇ I=íÜÉ=éêçÄ~Äáäáíó=çÑ=ëìÅÅÉëëI=ëáñ=ëéçíëK==qÜÉ=éêçÄ~Äáäáíó=íç=Ü~îÉ=~ÑíÉê=OM=íÜêçïëW= ⎛ ⎞⎛ ⎞ ⎛ ⎞ Éñ~Åíäó=Q=íáãÉë=ëáñ=ëéçíëI==áëW= • ⎜ ⎟⎜ ⎟ ⎜ ⎟ 0.202 ⎝ ⎠⎝ ⎠ ⎝ ⎠ ⎛...
  • Page 21 táíÜ=íÜÉ= =Åçãã~åÇ=óçì=Å~å=éäçí=åçêã~ä=ÇáëíêáÄìíáçå=ÑìåÅíáçåëK== normalcdf aÉÑáåÉ= =~ë= ~åÇ=éäçí= =ïáíÜ=íÜÉ=ïáåÇçï=ëÉííáåÖ=ÄÉäçïK= normalpdf(X,82,2) fíÛë=~äëç=éçëëáÄäÉ=íç=ëÜ~ÇÉ=~=êÉÖáçå=ìåÇÉê=íÜÉ=Öê~éÜ=çÑ=~=åçêã~ä=ÇáëíêáÄìíáçå=ÑìåÅíáçåK== ÖáîÉë=óçì=~=Öê~éÜáÅ~ä=êÉéêÉëÉåí~íáçå=çÑ== 2nd[DISTR]<DRAW> 1:ShadeNorm(80,84,82,2) µ σ ± íÜÉ=Ñ~Åí=íÜ~í=íÜÉ=ëìêÑ~ÅÉ=ìåÇÉê=íÜÉ=Öê~éÜ=ÄÉíïÉÉå= =áë=Éèì~ä=íç=SUBK= =================...
  • Page 22 T páãìä~íáçå= TKN o~åÇçã=åìãÄÉêë== qÜÉ=Åçãã~åÇ= =ÖÉåÉê~íÉë=íÜÉ=ÑçääçïáåÖ=ê~åÇçã=åìãÄÉêëW= rand ~å=~êÄáíê~êó=åìãÄÉê=ñ ÄÉíïÉÉå=M=~åÇ=N=E < < = === ñ rand ~=äáëí=çÑ=Q=~êÄáíê~êó=åìãÄÉêë=ÄÉíïÉÉå=M=Éå=N= rand(4) ~å=~êÄáíê~êó=åìãÄÉê=ñ ÄÉíïÉÉå=M=Éå=Q=E < < ñ rand4 ~å=~êÄáíê~êó=åìãÄÉê=ñ ÄÉíïÉÉå=^=Éå=_=E < < ñ _ F= A+(B-A)rand qÜÉ=Åçãã~åÇ= =ëí~êíë=ÖÉåÉê~íáåÖ=~í=ê~åÇçã=åìãÄÉêë=Ñêçã=~=ëÉÉÇK=qÜÉ=ëí~åÇ~êÇ=î~äìÉ=çÑ=íÜÉ=ëÉÉÇ= rand áë=MK==pí~êíáåÖ=Ñêçã=~=ëéÉÅáÑáÅ=ëÉÉÇ=óçì=ïáää=~äï~óë=ÖÉí=íÜÉ=ë~ãÉ=ëÉèìÉåÅÉ=çÑ=ê~åÇçã=åìãÄÉêëK=pç=áÑ=óçì= íç= ÖÉåÉê~íÉ= ~í= ê~åÇçã= åìãÄÉêëI= Äó= ëÉîÉê~ä= ëíìÇÉåíë= ~í= íÜÉ= ë~ãÉ= íáãÉI= áí= Å~å= ÄÉ= ìëÉÑìä= íç= äÉí= É~ÅÜ= ëíìÇÉåí=Ñáêëí=ÅÜççëÉ=~å=~êÄáíê~êó=î~äìÉ=Ñçê=íÜÉ=ëÉÉÇ= W=ÉKÖK= rand...
  • Page 23 táíÜ=íÜÉ=ÑçääçïáåÖ=äáëí=ïÉ=ïáää=ÅêÉ~íÉ=~=îáëì~äáò~íáçå=çÑ=íÜÉ=éêÉîáçìë=ëáãìä~íáçåW= = seq(X,X,1,200) = randInt(0,1,200) = cumSum(L = 1/2 qÜÉ=ÑçääçïáåÖ=ëÅêÉÉåë=ëÜçï=íÜ~í=íÜÉ=êÉä~íáîÉ=ÑêÉèìÉåÅó=çÑ=íÜÉ=ÉîÉåí=ÜÉ~Çë=áå=íÜÉ=äçåÖ=êìå=~ééêçñáã~íÉ= ½I=íÜÉ=íÜÉçêÉíáÅ~ä=éêçÄ~Äáäáíó=çÑ=íÜÉ=ÉîÉåí=ÜÉ~ÇëK= kçíáÅÉ=íÜ~í=ãçêÉ=íçëëÉë=ÇçåÛí=~ìíçã~íáÅ~ääó=Å~ìëÉ=~=ÄÉííÉê=~ééêçñáã~íáçåK==fÑ=ïÉ=ÅçåíáåìÉ=íçëëáåÖ=íÜÉ= ½=~ë=ïÉ=ï~åíK=_ìí=åç=çåÉ=Å~å=íÉää=ìë=Üçï=ã~åó=íçëëÉë=ïÉ= êÉä~íáîÉ=ÑêÉèìÉåÅó=ïáää=ÖÉí=~ë=ÅäçëÉ=íç= Ü~îÉ=íç=ÇçK TKP qÜêçïáåÖ=ÇáÅÉ= tÉ= ïáää= ëáãìä~íÉ= OQM= íÜêçïë= çÑ= ~= ÇáÅÉ= Äó= ~åÇ= Å~äÅìä~íÉ= íÜÉ= êÉä~íáîÉ= randInt(1,6,240) L sum(L =6)/240 ÑêÉèìÉåÅó=çÑ=íÜÉ=ÉîÉåíë=ëáñ=ëéçíë=~ë=ÑçääçïëW= qÜÉ=ÑçääçïáåÖ=ÜáëíçÖê~ã=áë=~=îáëì~äáë~íáçå=çÑ=_ÉêåçìääáÛë=ä~ï=çÑ=ä~êÖÉ=åìãÄÉêëK= randInt(1,6)+randInt(1,6) =ëáãìä~íÉë=íÜÉ=íÜêçïáåÖ=çÑ=íïç=ÇáÅÉK= _ó=êÉéÉ~íÉÇäó=ÉñÉÅìíáåÖ=íÜáë=Åçãã~åÇ=óçì=Å~å=~ééêçñáã~íÉ=íÜÉ=éêçÄ~Äáäáíó=çÑ=íÜÉ=ÉîÉåíë= íÜÉ=ëìã=çÑ= íÜÉ=éçáåí=áë=äÉëë=íÜ~åI=Éèì~ä=íç=çê=ãçêÉ=íÜ~å=ëÉîÉå...
  • Page 24 U ^å=~ééäáÅ~íáçåW=iáåÉ~ê=éêçÖê~ããáåÖ= iáåÉ~ê=éêçÖê~ããáåÖ=áë=íÜÉ=Äê~åÅÜ=çÑ=~ééäáÉÇ=ã~íÜÉã~íáÅë=íÜ~í=ÇÉ~äë=ïáíÜ=éêçÄäÉãë=äáâÉ=íÜÉ=ÑçääçïáåÖ= Éñ~ãéäÉK= UKN ^ééäÉë=~åÇ=éÉ~êë= pìééçëÉ=óçì=Ü~îÉ= € =PKS=Ñçê=ïÜáÅÜ=óçì=ï~åí=íç=Äìó=~ééäÉë=~åÇ=éÉ~êëK==qÜÉ=éêáÅÉ=çÑ=çåÉ=~ééäÉ=áë== € MKO= ~åÇ= € =MKP=Ñçê=~=éÉ~êK==eçï=ã~åó=~ééäÉë=~åÇ=éÉ~êë=Å~å=f=Äìó=áÑ=óçì=âåçï=íÜ~í=íÜÉêÉ=~êÉ=çåäó=NO=~ééäÉë= ~åÇ=NM=éÉ~êë=áå=íÜÉ=ëíçêÉ\= pçäìíáçå= iÉíÛë= x =êÉéêÉëÉåí=íÜÉ=åìãÄÉê=çÑ=~ééäÉë=~åÇ= y =íÜÉ=åìãÄÉê=çÑ=éÉ~êëK= ≥ ≥ lÄîáçìë=íÜÉ=ÑçääçïáåÖ=ÅçåÇáíáçåë=ÅçìåíW= =~åÇ K=== ^åÇ=íÜÉêÉ=~êÉ=íÜÉ=ÑçääçïáåÖ=Åçåëíê~áåíë=Ñçê= x =~åÇ y W== ≤ x ≤ y ≤ === 20 =~åÇ qç=ëçäîÉ=íÜÉ=éêçÄäÉã=ïÉ=åÉÉÇ=íç=ÑáåÇ=~ää=íÜÉ=éçáåíë= ( , ) x y =íÜ~í=ë~íáëÑóW= ≤...
  • Page 25 qÜÉëÉ=ÇÉÑáåáíáçåë=êÉëìäí=áåíç=íÜÉ=ÑçääçïáåÖ=Öê~éÜ=EéêÉëë= =íç=êÉãçîÉ=íÜÉ=ãÉåì=~í=íÜÉ= TRACE ClEAR Äçííçã=çÑ=íÜÉ=ëÅêÉÉåFW= ===== ===== ^ää=íÜÉ=éçáåíë=áå=íÜÉ=ÉåÅäçëÉÇ=~êÉ~=~êÉ=ëçäìíáçåë=Ñçê=çìê=éêçÄäÉãK==fíÛë=éçëëáÄäÉ=íç=ëÜ~ÇÉ=íÜáë=~êÉ~=~åÇ= íç=Å~äÅìä~íÉ=áíë=îÉêíáÅÉëK===qç=ëÜ~ÇÉ=ïÉ=åÉÉÇ=íç=ÅÜ~åÖÉ=íÜÉ=Éèì~ä=ëáÖåë=ïáíÜ= =íÜêçìÖÜ= =~ë=ÑçääçïW= ===== ===== mêÉëë= I=íÜÉå=ëÉäÉÅí= =~åÇ= GRAPH Shades Ineq Intersection ===== ===== tÉ=ïáää=åçï=Å~äÅìä~íÉ=íÜÉ=îÉêíáÅÉë=çÑ=ëÜ~ÇÉë=ïáíÜ= Trace =Z=ÅÜ~åÖÉ=íÜÉ=Ñáêëí=ÑìåÅíáçå Z=ÅÜ~åÖÉ=íÜÉ=ëÉÅçåÇ=ÑìåÅíáçå= ===== ===== =====...
  • Page 26 vçì=Å~å=ëíçêÉ=~=ëÉäÉÅíÉÇ=îÉêíÉñ=Äó=éêÉëëáåÖ= K==qÜÉ=ÅççêÇáå~íÉë=çÑ=íÜÉ=îÉêíÉñ=ïáää=~ìíçã~íáÅ~ääó= ÄÉ=ëíçêÉÇ=áå=íÜÉ=äáëíë= =~åÇ= INEQX INEQY ========== táíÜ=íÜÉëÉ=äáëíë=áíÛë=ëíáää=éçëëáÄäÉ=íç=éäçí=íÜÉ=~êÉ~=ÉîÉå=~ÑíÉê=èìáííáåÖ= fåÉèì~äáíó = dê~éÜáåÖ =~åÇLçê= ÇÉäÉíáåÖ=íÜÉ=ÑìåÅíáçåëK==lå=íÜÉ=Öê~éÜ=ÄÉäçï=íÜÉ=ÖêáÇ=áë=íìêåÉÇ=çÑÑK= ========== iÉíÛë=ã~âÉ=çìê=Éñ~ãéäÉ=~=äáííäÉ=Äáí=ãçêÉ=ÅçãéäáÅ~íÉÇK==tÉ=ï~åí=íç=Ü~îÉ=~å=~ë=ÜáÖÜ=~ë=éçëëáÄäÉ=ÅçåíÉåí= çÑ=îáí~ãáå=`=áå=çìê=éìêÅÜ~ëÉK==pìééçëÉ=çå=~ééäÉ=Åçåí~áåë=Q=Öê~ã=çÑ=îáí~ãáå=`=~åÇ=~=éÉ~ê=T=Öê~ãK= qç=ëçäîÉ=íÜáë=éêçÄäÉã=ïÉ=åÉÉÇ=íç=ÑáåÇ=íÜÉ=ã~ñáãìã=î~äìÉ=çÑ= 4 y =çîÉê=íÜÉ=~êÉ~=ÇÉíÉêãáåÉÇ=~ÄçîÉK= qç=áåîÉëíáÖ~íÉ=íÜáë=éêçÄäÉã=Öê~éÜáÅ~ääó=ïÉ=ÇÉÑáåÉ=íÜÉ=é~ê~ãÉíÉê= A =~ë=Ñçääçï= y =~åÇ=íÜÉ= − ÑìåÅíáçå= ^Åíáî~íÉ=íÜÉ=~ééäáÅ~íáçå= qê~åëÑçêã~íáçå=dê~éÜáåÖ = =EÇÉ~Åíáî~íÉ=Ñáêëí= fåÉèì~äáíó=dê~éÜáåÖ F=~åÇ=áåîÉëíáÖ~íÉ= íÜÉ=î~äìÉ=çÑ= A =Ñçê=ëÉîÉê~ä=éçáåíë=áå=íÜÉ=ÉåÅäçëÉÇ=~êÉ~K= ===== ===== ===== ===== =2nd[FORMAT] TrailOn= Ó...
  • Page 27 STAT = 1:Edit táíÜ= … =ïÉ=Å~å=Å~äÅìä~íÉ=íÜÉëÉ=î~äìÉë=Ñçê= A =~ë=ÑçääçïëW== ===== ===== qÜÉ=ã~ñáã~ä=~ãçìåí=çÑ=îáí~ãáå=`=áë=UO=Öê~ã=ïáíÜ=~=éìêÅÜ~ëÉ=çÑ=P=~ééäÉë=~åÇ=NM=éÉ~êëK= UKO qÜÉ=ëáãéäÉñ=ãÉíÜçÇ= tÉ=Å~å=ïêáíÉ=íÜÉ=éêÉîáçìë=Éñ~ãéäÉ=~ë=ÑçääçïëW= ==j~ñáãáòÉ== ≤ ==pìÄàÉÅí=íç= ENF= ≤ ≤ ≥ ≥ qÜÉ=ëáãéäÉñ=ãÉíÜçÇ=~äï~óë=ëí~êíë=Ñêçã=~=ÑÉ~ëáÄäÉ=ëçäìíáçåK==cçê=çìê=ìëÉ=ïÉ=ïáää=í~âÉ=íÜÉ=çêáÖáå= ~åÇ= K==lÑ=ÅçìêëÉ=íÜÉëÉ= x =~åÇ= y =î~äìÉë=~êÉåÛí=íÜÉ=çåÉë=íÜ~í=ÖáîÉë=ìë=íÜÉ=ã~ñáãìã=î~äìÉ=Ñçê= y K= tÉ=ïáää=êÉïêáíÉ=íÜÉ=áåÉèì~äáíáÉë=áåíç=Éèì~äáíáÉë=Äó=áåíêçÇìÅáåÖ=íÜêÉÉ=åÉï=î~êá~ÄäÉë= , , u v w X=Å~ääÉÇ=ëä~Åâ= î~êá~ÄäÉëW= − −...
  • Page 28 fÑ=ïÉ=äççâ=~í= y =ïÉ=ëÉÉ=íÜ~í=áÑ=ïÉ=áåÅêÉ~ëÉ= y I= z =ïáää=áåÅêÉ~ëÉ=Ñ~ëíÉê=~ë=ïÜÉå=ïÉ=áåÅêÉ~ëÉ= x K== pç=ïÉ=ïáää=áåÅêÉ~ëÉ= y =~åÇ=âÉÉé= K==eçï=ãìÅÜ=Å~å=ïÉ=áåÅêÉ~ëÉ= y \= ≥ ≥ ≥ cçê= =íÜÉ=ÑçääçïáåÖ=Åçåëíê~áåíë=ÅçìåíW= − ≥ ≤ ⎧ ⎧ 360 30 ⎪ ⎪ ≥ === ⇔ === ≥ === ⇒ === ≤ ⎨ ⎨ 12 0 12 0 ⎪...
  • Page 29 fí=Ñçääçïë=íÜ~íW= − = + − − − − − − − u w = 70 4 70 4(3 tÜÉå=ïÉ=äççâ=~í= z =áíÛë=ÅäÉ~ê=ïÉ=Å~å=åçí=áåÅêÉ~ëÉ= z =~åóãçêÉ=Äó=áåÅêÉ~ëáåÖ= u =çê= w K== qÜáë=ãÉ~åë=ïÉ=ÑçìåÇ=~å=çéíáã~ä=ëçäìíáçå= =Ñçê= =~åÇ= qÜÉ=ãÉíÜçÇ=ïÉ=àìëí=ìëÉÇ=íç=ÑáåÇ=~å=çéíáã~ä=ëçäìíáçå=áë=Å~ääÉÇ=íÜÉ=ëáãéäÉñ=ãÉíÜçÇK==få=íÜáë=é~êíáÅìä~ê= Éñ~ãéäÉ= x =~åÇ= y =Ü~ë=íç=ÄÉ=áåíÉÖÉêë=Äìí=ÉîÉêóíÜáåÖ=ëí~óë=íÜÉ=ë~ãÉ=áÑ=ïÉ=ÅçåëáÇÉê= x =~åÇ= y =~ë=êÉ~ä= î~êá~ÄäÉëK= UKP qÜÉ=ëáãéäÉñ=ãÉíÜçÇ=ìëáåÖ=ã~íêáÅÉë= tÉ=êÉïêáíÉ=çìê=Éñ~ãéäÉ=áåíç=íÜÉ=ÑçääçïáåÖ=ãçÇáÑáÉÇ=ÑçêãK=...
  • Page 30 qÜÉ=êçï=ïáíÜ=íÜÉ=ëã~ääÉëí=ê~íáç= =áë=Å~ääÉÇ=íÜÉ=éáîçí=êçï=~åÇ=ÅçêêÉëéçåÇë=ïáíÜ=íÜÉ=äÉ~îáåÖ=î~êá~ÄäÉK== ⎛ ⎞ 20 30 1 0 0 360 ⎜ ⎟ 0 1 0 ⎜ ⎟ ⎜ ⎟ 0 0 1 ⎜ ⎟ ⎝ ⎠ 0 0 0 píÉé=P= få=íÜáë=ëíÉé=ïÉ=ÇáîáÇÉ=É~ÅÜ=ÉäÉãÉåí=çÑ=íÜÉ=éáîçí=êçï=ïáíÜ=íÜÉ=éáîçí=EZ=áåíÉêëÉÅíáçå=çÑ=íÜÉ=éáîçí=Åçäìãå= ~åÇ=íÜÉ=éáîçí=êçïFK==få=çìê=Å~ëÉ=Eéáîçí=Z=NF=ïÉ=ÇçåÛí=åÉÉÇ=íç=Çç=~åóíÜáåÖK= fíÛë=åçí=~=Ä~Ç=áÇÉ~=íç=~ÇÇ=~=Åçäìãå=ïáíÜ=íÜÉ=éçëáíáîÉ=î~êá~ÄäÉë=çÑ=çìê=éêÉëÉåí=ëçäìíáçåK= ⎛ ⎞ 20 30 1 0 0 360 ⎜...
  • Page 31 pç=ïÉ=ÄÉÅçãÉ=íÜÉ=ÑçääçïáåÖ=åÉï=ã~íêáñI=ïáíÜ= =~åÇ= =~åÇ= − ⎛ ⎞ 20 0 1 0 ⎜ ⎟ 0 0 1 ⎜ ⎟ ⎜ ⎟ 1 0 0 ⎜ ⎟ − − ⎝ ⎠ 0 0 0 tÉ=åÉÉÇ=íç=êÉÇç=íÜÉ=éêÉîáçìë=Ñçìê=ëíÉéëI=ëí~êíáåÖ=Ñêçã=íÜáë=ã~íêáñI=íç=ÑáåÇ=~=ÄÉííÉê=ÑÉ~ëáÄäÉ=ëçäìíáçåK= píÉé=N=C=O= − ⎛ ⎞ 20 0 1 0 ⎜...
  • Page 32 ⎛ ⎞ − lìê=åÉï=ã~íêáñ=áëW===== ====== x = ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ − ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ − − − ⎜ ⎟ ⎝ ⎠ qÜÉ=ä~ëí=êçï=çÑ=çìê=ã~íêáñ=Åçåí~áåë=çåäó=åÉÖ~íáîÉ=åìãÄÉêë=ïÜáÅÜ=ãÉ~åë=ïÉ=êÉ~ÅÜÉÇ=~å=çéíáã~ä= ëçäìíáçå= =ïáíÜ= UKQ ^äï~óë=~=ìåáèìÉ=ëçäìíáçå\== táíÜçìí=ÖáîáåÖ=~=ÅçãéäÉíÉ=ÇáëÅìëëáçå=ïÉ=ïáää=ÉåÇ=ïáíÜ=íïç=Éñ~ãéäÉë=íç=ëÜçï=íÜ~í=íÜÉêÉ=áë=åçí=~äï~óë=~= ìåáèìÉ=ëçäìíáçåK= EáF pÉîÉê~ä=ëçäìíáçåë=Ó=áåÑáåáíÉ=ã~åó= j~ñáãáòÉ= çê== j~ñáãáòÉ== −...
  • Page 33 V ^ééÉåÇáñ= dê~éÜáåÖ=`~äÅìä~íçê=pçÑíï~êÉ=^ééäáÅ~íáçåë=E^ééëF=~êÉ=éáÉÅÉë=çÑ=ëçÑíï~êÉ=íÜ~í=óçì=Å~å=Ççïåäç~Ç=çåíç= óçìê=Å~äÅìä~íçê=~ë=óçì=ïçìäÇ=~ÇÇ=ëçÑíï~êÉ=íç=~=ÅçãéìíÉê=íç=ÉåÜ~åÅÉ=áíë=Å~é~ÄáäáíáÉëK==^ééë=åçí=çåäó= ~ääçï=óçì=íç=ÅìëíçãáòÉ=óçìê=qf=Å~äÅìä~íçê=íç=ãÉÉí=óçìê=Åä~ëë=åÉÉÇëI=Äìí=~äëç=íç=ìéÖê~ÇÉ=áí=Ñêçã=çåÉ= óÉ~ê=íç=íÜÉ=åÉñíK== vçì=Å~å=Ççïåäç~Ç=^ééëI=~ë=ïÉää=~ë=ÇÉí~áäÉÇ=ÖìáÇÉÄççâëI=Ñçê=ÑêÉÉ=Ñêçã=ïïïKÉÇìÅ~íáçåKíáKÅçãI= açïåäç~ÇëK= VKN qê~åëÑçêã~íáçå=dê~éÜáåÖ= qê~åëÑçêã~íáçå=dê~éÜáåÖ=~ääçïë=îáëì~äáòáåÖ=Çóå~ãáÅ~ääó=Üçï=ÅÜ~åÖÉë=áå=~=ÑìåÅíáçåÛë=é~ê~ãÉíÉêë=ÉÑÑÉÅí= áíë=Öê~éÜK=qÜáë=~ééäáÅ~íáçå=Éå~ÄäÉë=ëíìÇÉåíë=íç=ÇáëÅçîÉê=ëÉîÉê~ä=éêçéÉêíáÉë=áå=íÉêãë=çÑ=~=ÑìåÅíáçåÛë= é~ê~ãÉíÉêëW=êççíëI=áåÅêÉ~ëáåÖ=~åÇ=ÇÉÅêÉ~ëáåÖI=ëóããÉíêóI=éÉêáçÇI=Á===fí=Å~å=~äëç=ÄÉ=ìëÉÇ=Ñçê=ãçÇÉääáåÖ= Äó=ã~åáéìä~íáåÖ=ÅçÉÑÑáÅáÉåíë=íç=Ñáí=Éèì~íáçåë=íç=Ç~í~=éçáåíëK= qê~åëÑçêã~íáçå=dê~éÜáåÖ=áë=~å=~ééäáÅ~íáçå=íÜ~í=çåÅÉ=áíÛë=ëí~êíÉÇ=áí=âÉÉéë=êìååáåÖ=áå=íÜÉ=Ä~ÅâÖêçìåÇK==fí= ÅÜ~åÖÉë=íÜÉ= =ïáåÇçï=~ë=Ñçääçïë=~åÇ=~ÇÇë=íÜÉ=ãÉåì= =íç=íÜÉ= =ëÅêÉÉåK== SETTINGS WINDOW ======= ===== ===== qç=èìáí=qê~åëÑçêã~íáçå=dê~éÜáåÖ=óçì=åÉÉÇ=íç=~Åíáî~íÉ=áí=~Ö~áå=áå=íÜÉ= 1: = Uninstall =ãÉåì=~åÇ=íÜÉå=ëÉäÉÅí= K==kçíÉ=íÜ~í=áí=áë=åçí= APPS éçëëáÄäÉ=íç=êìå=qê~åëÑçêã~íáçå=dê~éÜáåÖ=~åÇ=fåÉèì~äáíó=dê~éÜáåÖ=~í= íÜÉ=ë~ãÉ=íáãÉK= táíÜ=qê~åëÑçêã~íáçå=dê~éÜáåÖ=áë=éçëëáÄäÉ=íç=çÄëÉêîÉ=íÜÉ=ÉÑÑÉÅíë=çÑ=ÅÜ~åÖáåÖ=é~ê~ãÉíÉê=î~äìÉë=çå=íÜÉ= Öê~éÜ=ïáíÜçìí=äÉ~îáåÖ=íÜÉ=Öê~éÜ=ëÅêÉÉåK=fí=áë=çåäó=~î~áä~ÄäÉ=áå=íÜÉ=ÑìåÅíáçå=ãçÇÉ=~åÇ=ïÜÉå=áíÛë=~ÅíáîÉ= áíÛë=çåäó=éçëëáÄäÉ=íç=éäçí=çåÉ=ÑìåÅíáçåK= qê~åëÑçêã~íáçå=dê~éÜáåÖ=~ääçïë=íÜÉ=ìëÉ=çÑ=Ñçìê=é~ê~ãÉíÉêëW= A I= B I= C I=~åÇ= D K==^ää=íÜÉ=çíÜÉêë=~Åí=äáâÉ= Åçåëí~åíëI=ìëáåÖ=íÜÉ=î~äìÉ=áå=íÜÉ=o^j=ãÉãçêóK= qê~åëÑçêã~íáçå=dê~éÜáåÖ=Ü~ë=íÜêÉÉ=éä~ó=íóéÉëK== || >...
  • Page 34 tÉ=ïáää=ìëÉ=íÜÉ=ÑìåÅíáçå= ( ) C =íç=áääìëíê~íÉ=Üçï=qê~åëÑçêã~íáçå=dê~éÜáåÖ=ïçêâëK==tÉ= sin( ïáää=ëí~êí=ïáíÜ=íÜÉ=ÑçääçïáåÖ= =ëÉííáåÖëK= WINDOW || > ^rpb mêÉëë= =íç=ÅÜ~åÖÉ=íÜÉ=ëÉäÉÅíÉÇ=é~ê~ãÉíÉê=~åÇ= =íç=ëÉäÉÅí=~=ÇáÑÑÉêÉåí=é~ê~ãÉíÉêK=qÜÉ=Öê~éÜ=ïáää= ÅÜ~åÖÉ=~ìíçã~íáÅ~ääóK=fí=áë=~äëç=éçëëáÄäÉ=íç=ÉåíÉê=~=î~äìÉ=ã~åì~ääóK=pÉäÉÅí=íÜÉ=é~ê~ãÉíÉêI=ÉåíÉê=íÜÉ= î~äìÉ=~åÇ=éêÉëë= ENTER || > || > F=~åÇ= m táíÜ=íÜÉëÉ=çéíáçåë=óçì=Å~å=ÇÉÑáåÉ=~=ëäáÇÉ=ëÜçï=éÉê=é~ê~ãÉíÉêK=_ó=éìííáåÖ=íÜÉ=Åìêëçê=çå=íÜÉ=Éèì~äáíó= GRAPH = ëáÖå=~åÇ=éêÉëëáåÖ=ÉåíÉê=óçì=Å~å=ëÉäÉÅí=~åçíÜÉê=é~ê~ãÉíÉêK=mêÉëë= íç=ëí~êí=ÖÉåÉê~íáåÖ=íÜÉ= ëÅêÉÉåë=Ñçê=íÜÉ=ëäáÇÉ=ëÜçïK==qÜÉ=ÇÉÑáåáíáçåë=ÄÉäçï=ïáää=ÖÉåÉê~íÉ=R=ëÅêÉÉåë=Ñçê=íÜÉ=é~ê~ãÉíÉê= B W=Ñêçã=JO= íç=O=áå=ëíÉéë=çÑ=ëáòÉ=NK== ===== ===== mêÉëë= =íç=é~ìëÉ=íÜÉ=ëÜçï=~åÇ=~Ö~áå=íç=êÉëìãÉ=áí=~åÇ=éêÉëë=~åÇ=ÜçäÇ= =íç=ëíçéK= ENTER qê~åëÑçêã~íáçå=dê~éÜáåÖ=~äëç=~ÇÇë=~å=Éñíê~=ëÉííáåÖ=íç=íÜÉ=Öê~éÜ=Ñçêã~í=ëÅêÉÉåI= 2nd[FORMAT] =çê= TrailOff...
  • Page 35 VKO fåÉèì~äáíó=dê~éÜáåÖ= fåÉèì~äáíó=dê~éÜáåÖ=Éå~ÄäÉë=íç=ÉåíÉê=áåÉèì~äáíáÉë=ìëáåÖ=ëóãÄçäëI=ÉîÉå=áåÉèì~äáíáÉë=áåîçäîáåÖ=îÉêíáÅ~ä= äáåÉë=áå=~å= =ÉÇáíçêK=fí=áë=éçëëáÄäÉ=íç=éäçí=íÜÉ=áåÉèì~äáíáÉëI=áåÅäìÇáåÖ=ìåáçå=~åÇ=áåíÉêëÉÅíáçå=ëÜ~ÇÉëI= ~åÇ=íç=ëíçêÉ=íÜÉ=áåíÉêëÉÅíáçå=éçáåíë=ÄÉíïÉÉå=íÜÉ=ÅçêêÉëéçåÇáåÖ=ÑìåÅíáçåëK= táíÜ=íÜáë=~ééäáÅ~íáçå=áí=áë=éçëëáÄäÉ=íç=~ÇÇ=îÉêó=É~ëáäó=~=Öê~éÜáÅ~ä=~ééêç~ÅÜ=íç=ëçäîáåÖ=ëóëíÉãë=çÑ=äáåÉ~ê= Éèì~íáçåë=Eíïç=î~êá~ÄäÉëF=~åÇ=íç=äáåÉ~ê=éêçÖê~ããáåÖK= fåÉèì~äáíó=dê~éÜáåÖ=áë=~å=~ééäáÅ~íáçå=íÜ~í=çåÅÉ=áí=áë=ëí~êíÉÇ=áí=âÉÉéë=êìååáåÖ=áå=íÜÉ=Ä~ÅâÖêçìåÇK=fí= ÅÜ~åÖÉë=íÜÉ= =ïáåÇçï=~ë=Ñçääçïë=~åÇ=~ÇÇë=~å= X= =ÉÇáíçê=íç=áíK=fí=~äëç=~ÇÇë=~=ëÜ~ÇÉ=êÉëçäìíáçå=áíÉã= E ShadeRes F=íç=íÜÉ= WINDOW =ëÉííáåÖëK= qç=èìáí=fåÉèì~äáíó=dê~éÜáåÖ=óçì=åÉÉÇ=íç=~Åíáî~íÉ=áí=~Ö~áå=áå=íÜÉ= APPS 2: = Quit = Inequal ãÉåì=~åÇ=íÜÉå=ëÉäÉÅí= K==kçíÉ=íÜ~í=áí=áë=åçí= éçëëáÄäÉ=íç=êìå=fåÉèì~äáíó=dê~éÜáåÖ=~åÇ=qê~åëÑçêã~íáçå=dê~éÜáåÖ=~í= íÜÉ=ë~ãÉ=íáãÉK= qÜÉ=ÑçääçïáåÖ=íïç=Éñ~ãéäÉë=ïáää=ëÜçï=Üçï=fåÉèì~äáíó=dê~éÜáåÖ=ïçêâëK= bñ~ãéäÉ=N= tÉ=ïáää=ÇÉíÉêãáåÉ=íÜÉ=êÉÖáçå=çÑ=éçáåíë= ( , ) x y =íÜ~í=ë~íáëÑóW= ≤ ≥ ⎧...
  • Page 36 1: = Ineq = Intersection mêÉëë= I=ëÉäÉÅí= ) ~åÇ= GRAPH Shades (ALPHA F1 ===== ===== PoI-Trace = cçê=äáåÉ~ê=áåÉèì~äáíáÉë=áí=áë=éçëëáÄäÉ=íç=Å~äÅìä~íÉ=íÜÉ=îÉêíáÅÉë=íÜÉ=ëÜ~ÇÉÇ=~êÉ~=ïáíÜ= (ALPHA F3 FW= =Z=ÅÜ~åÖÉ=íÜÉ=ëÉÅçåÇ=ÑìåÅíáçå==C== Z=ÅÜ~åÖÉ=íÜÉ=Ñáêëí=ÑìåÅíáçåK== vçì=Å~å=ëíçêÉ=~=ëÉäÉÅíÉÇ=îÉêíÉñ=Äó=éêÉëëáåÖ= K==qÜÉ=ÅççêÇáå~íÉë=çÑ=íÜÉ=îÉêíÉñ=ïáää=~ìíçã~íáÅ~ääó= ÄÉ=ëíçêÉÇ=áå=íÜÉ=äáëíë= =~åÇ= INEQX INEQY bñ~ãéäÉ=O= − = − iÉíÛë=íêó=íç=ÑáåÇ=íÜÉ=~êÉ~=ÄÉíïÉÉå=íÜÉ=ÑìåÅíáçåë= =~åÇ K==cçê=åçå=äáåÉ~ê= ÑìåÅíáçåë=áí=áë=åçí=~äï~óë=éçëëáÄäÉ=íç=ÑáåÇ=íÜÉ=áåíÉêëÉÅíáçå=éçáåíë=íÜêçìÖÜ=fåÉèì~äáíó=dê~éÜáåÖK==få=ëìÅÜ= 5: = intersect = ~=Å~ëÉ=ïÉ=åÉÉÇ=íç=ìëÉ= çÑ=íÜÉ=Öê~éÜáÅ~ä= =ãÉåìK=...
  • Page 37 In addition an example of linear programming is treated to show the various approaches for solving a problem with the TI-84 Plus, as well as the working of the applications Inequality Graphing and Transformation Graphing.