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BOUCHARDd(COPYRIGHT (C) MECC, 1986{2UPDATE:87/3/02SCJZ3200029677:38290:1000PRINTER SUPPORTW0:A$"small":RVB,BE4!0,SZ:SZ2A$"large" RVB,BE!0,SL::SNSL:SP:VSP:CO,,89:"Getting "F1$"...":RNH,F2$=END OPTIONGQUIT`XGENERAL INFORMATIONbCL$TI$CC$:PA$""ĺPA$CC$lVE$CC$:::GCP,X1,Y1|vVSP,3:MN$(1)" is a set of programs that allow students to investigate linear, quadratic, and trigonometric equations. Students enter or change the value of each factor in general equations to observe changes in the ";{"position and shape of the plotted line. Several equations can be plotted on the same graph. The graphing screen can be printenpqrs((((((((((((((((PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP                    BC#< |t=>0)?><@=0)?><@=@ |t>0BDHt&cu'Ch&BDBBC`((((((((((((((((ons","EXPLORE","Polygraph","POLY","Polar","POLAR","Orange","Green","Blue","Violet"'"Apple DMP / Parallel card","Apple Imagewriter / Serial card","Printer / Grappler card" options available.":SPACE,1:16300,0:CSU:16299,0:WIND,2:9020P#9100:ZZ(CHK6)(CHK4)(CHK3)(CHK5):CHZLCHZUZCH177Z#ZZ(ZZN)(Z1)(ZN1)(Z0):9100:9020#YY19Z27(Z2):IVB,X1,Y1,X1Z(Z)4,Y7:T'"Exploring EquatiL1ZN:ISW,MN$(L),Z(L1)::WIND,1:CO,,183:I$CC$:WIND,2:X1X138:9100:CH(1)<#CH(5):CHK2Z(Z1)(CHK7)(CHK7):FF#CH129įCSD:WIND,1:230,64:DFW,76,70,264,30:BOX,0,60,279,103:FRAME,2,63,276,99,2,3:WIND,7:CO:"There are no teacher_JBOX:CO:"You may use these colors"CC$:"to adjust your monitor or"CC$:"television."CC$TL03:BOX,6(66L),41,64(66L),141,5(L0)(L1)6(L2)2(L3):CO,(766L),147:BR$(L)::SPACE:WIND,1:(#INPUTT2#K7129:ZL176:ZU((ZN))129:SPACE:BOX!ESC ESC SCREENSVSP,3:BOX:CO:"Use of Special Keys"CC$::"You may want to quit in the middle of a program. 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The graphing screen can be printed."SPACE:CO,X1,Y1:CEWMN$(3)" is a graphing utility that wd."SPACE:CO,X1,Y1:CEWMN$(2)" is a graphing utility that will graph most equations in the x-y plane. The program is designed to be incorporated into classroom investigations. Students enter the limits of the x- and y- axes, the number of poi    ^B0xXCFJ*^037B6ACFJU^BC3ACFJ*XA_BBC3ACFJUN[]??B/++*C*BB3?>CFJ*NGKGO?_WUUUBUABUCUBB>0CFJUNGTvGJ7,2,3:16299,0 }WIND,7:CO:"Error "ZE" at line #"ZN" in "PN$"."::"Please report this error to MECC.":SPACE,1:16300,0:CSU:16299,0:31000 耯HSP,1:DFW,70,0,279,191:WIND,7:CO,,184HZ:MM$;:QMįCO,QM:QM$ 뀭QMĺz 퀯VSP,212DB:I0ZZE53ZE69)2601 }PN1ĭZN8110ZE698115N }PNĭZN6125ZE696128q }PNĭZN6121ZE69E31:6122 Z}ZUZE0ZE16Ħ d}ZE255Ĵ(919)031000: x}CSD:16368,0:230,64:DFW,76,66,264,50::WIND,1:BOX,0,60,278,120:FRAME,2,63,276,11"PN$"? ";:Z1:30100:Z$"Y"31100I JyWIND,1:16300,0:CSU:16299,0i TyKW1:PN110000,10000,1000 |yCL$:CO,,89:"Getting the "QN$" menu...":RNH,"MENU" }ZE(222):E3ZE:ZN(218)(219)256:WVB,216,0:32000 }(ZN250ZN255)(ZE16ZE133tvwxyz{|15> uZZZX2(Z1)(Z(0)10):IVB,ZZ,ZY1,ZZZ(Z)4,ZY8:D uQ yZM2000` "yGDİ29600$ ,yWIND,1:HSP:VSP::16368,0:230,64:16299,0:CSD:BOX,0,60,278,100:DFW,76,70,264,30:FRAME,2,63,276,96,2,3:WIND,7:CO:"Are you sure you want to quit quZ$(0)"Yes":Z$(1)"No":L01:ISW,Z$(L),Z(L)::GCP,ZX,ZY:CO,ZX,ZY:Z$(0):CO,ZXZ(0)11,ZY:Z$(1):30150uCH(3):CH12830115uCHK6CHK3CH249CH217CH206CH238İ30150:Z(CH206CH238CHK6):30150uCHK2Z$(Z$(Z),1): u301J*^BC AC|}~BJUJ*NGKGsBsB63Cwx{JUNGKGsBs600p00CBnJ*NGKGsBcB6cCtwutJUNGKGsBsB63CCnJ*N[sBc600`CFJUOZs``wBfgC{9{{ J*^ MBlLC8W0W8JU^BgBlgC {|;\HxBByB{CFJUNGYN CLNjGsBBqCFJ*NGYp`DgjGs00{C3ACFJUNGKGsvC6ACFJ*NGKGsBcB6f`CBwJUNGKGsBBCFB;FJ*NGKGsB`B0`Ca]a}}JUNGKGsBgB0gC.5B;G|L|HBFACFJUNGWAOABOCAOABO]GOD@CAAGA <B~BBBYCFJUNGYsC30rBsqpr2C3s]GQF@`Dp`@HB@@_BY_CFJ*NGYBEB]GOABBGlo`OCFJ*NGKGO~x`FBAQB oBlOCFJUNGKGP?D@B`ABpAB8ABAABBLBlOCFJ*NGKGOaHBAQBBOB`OCFJUNGVAAOAAOAjGQ|0TAA ~~B@@oBLOCFJ*NGVA`AAxAA`jGOE@`p??C*B*B***B*AB*C*BBB3CFJ*NGKGJ`@UCUBUBUUUBUABUCUBOBfFCFJUNGKGN~C*B*B* FBC BBB CFJ*NGKGOCUBWBB@B`@CFJUNGKGOCC@B`ABpAB8ABA:ISW,Z$(I),Z(I)::CO,X,Y:I0Z:CO,X:I1". "Z$(I)::D%(0)āL1D%(A0):,X,D%(L)10Y,X20Z(D%(L)),YD%(L)10A9:DBKXX20:CO,KX,Y12:"Y = m X + b":CO,KX,Y34:"Y = a X + b x + c":CO,X68,Y31:"2":CO,KX,Y56:"Y = a sin (b X + c) + d"ZDB133080,33070:16368,0:WFK,WF$(27)"?"W$,A:DB133080,33070:A1A633050PN2ĭQMĭA7HF0:WIND,3:BOX:23500:W7:33050A7WA8:33010A3A5W(W1)(WZ):D%(0)āL1D%(0):W((WD%(L))W)(WD%(L))(W1)(WZ):_((Q$,1,E1)). YA1AA10:BB1:23020F YMA(A100.5)100q YA((A)):A1$(A):A(A)A1$A1$"." YFIND,A1$,1,".",D ZD2AA(10(D2)):BBD2 ZA1$(A):A(A)A1$A1$"." ZA1$(A1$"0000000",LM)0 ZQ$(" -",1(Q0),1)A1$}MY,T4!0: VRE1:PWıA VL91(PW):PW0RERE10:22230N VRERE10V V:g Y(Q)1E33ı YLM4:RQ:Q(Q100.5)100:Q$((Q),1(Q0)):FIND,Q$,1,"E",E:S$" ":((Q)10000(Q).01E)Q23060 YB0:EB((Q$,E1)) YA(Q$):EAhUWIND,1:TAKE,0,OY,279,OY18,T3!0:BOX,0,OY,279,OY18:FRAME,2,OY3,276,OY15,2,3:CO,5,OY6:O$: TVWIND,1WS:TAKE,0,MY,279,MY36,T4!0:DFW,75,MY6,270,28:BOX,0,MY,279,MY36:FRAME,2,MY3,276,MY33,2,3:WIND,7:CO:T$:SPACE,1:WIND,1WS:PUT,0,(10):L(X)((XPI)LT):E11E36:E21E36:230,64:DFW,10,0,280,192rZM0:A00:A11:A22:A33:A44:A55:A66:A77:A88:A99:C31LT:D1204:D2279:D344:D4111:D5155:DB0:K1160:K2141:K3136:K4139:K5138:K6149:K7147:K8255:WS0:ows to move.":R$" Press Return.":ES$"Escape: ":ER$ES$"restore entry.":QM$" ? for Help.":Z1$"View/change settings":Z2$"Enter an equation"HhBANK,0:BABE6:WVW,BA,1:WVW,BA2,4:WVB,BA4,1:WVB,BA5,1:WVB,BA6,1:DFT,10,BA:DFT,11,1024:DEB,1:LTYN$(1)"Yes":D%(0)0TNP50:PX195:PY157:PZ158:QX69PX:QZ107:QY54PY:T17642:T27042:T36242:T45100:T546550:TA8192:TB42496:TC12392:TD14893:TM41472:PI3.1415926536:PPI:PPPI:BE48640^O$"One moment please...":SP$" ":I$"Use arr:RD57.295779512:EE$"abcegil-ntxyABCEGIL-NTXY#+*/^=().-09":WF$(13)(11)(10)(8)(21)JF1(X)1(X):F2(X)1(X):F3(X)1(X):F4(X)(X(XX1)):F5(X)(X(XX1))1.5708OI%(45),J%(45),I1%(45),J1%(45),D%(5),T$(10):YN$(0)"No":"x-increment: "Q$CC$PNĺ:LM10:QYL:23000:A$Q$:LM10:QYG:23000:(10)"y-axes: "A$" < y < "Q$CC$:LM9:QYI:23000:(10)"y-increment: "Q$CC$:(10) POFF:0:1002:HOOK^@CA$(1):CC$(3):CL$(12):QN$"Equation Math":DR.0174532925264:"There is no printer attached."CC$:SPACE:PUT,0,156,TB!0:UPUT,0,156,TB!0oPINIT:QC3ĺ(9)SZ$QC1QC2ĺ(9)"K":SDUMP,SN,SWPNĺ:LM10:QXL:23000:A$Q$:LM10:QXG:23000:(10)"x-axes: "A$" < x < "Q$CC$:LM9:QXI:23000:(10)"G1":SK2SW3:SZ$"GDR1"DFW,70,0,279,192:WIND,7:TAKE,0,156,279,191,TB!0:BOX,0,156,279,191:FRAME,3,159,276,175,2,3:CO,,164:"Please prepare your printer..."CC$:SPACE:RVB,BE3!0,QC:PINIT:POFFARVB,952!0,SN:SNįBOX,4,160,275,174:CO,,1A2A4W(W1)(W0)ZW:D%(0)āL1D%(0):W((WD%(L))W)(WD%(L))((W1)(W0)ZW):j33010VSP:HSP:A6WZ1$.DBįIVB,X14,YW221,X20Z(W),YW228:8IVB,X14,YW101,X20Z(W),YW108:ЄRVB,BE4!0,SK:SW1:SZ$"E"("+-",1(B0),1)("0"((B)),2):23090[ ZFIND,Q$,1,".",D:DQ$Q$".":D(Q$)s Z(Q)1QQ$"0"Q$ ZQ$(" -",1(Q0),1)(Q$"000000",LMD2((Q)1)Q):A5(((Q)(((Q))((Q0)(Q1)))))(Q0):S$"":(A)S$(" ",A) 2ZI10O2$(I)(SP$Q$,(10PN4))% ;Z [TM$MM$:HD%D%(0):D%(0)0:HQQM:HWW:WIND,1:TAKE,0,60,279,160,TA!0:TAKE,0,0,279,59,TC!0:Z$(0)"Graph settings":Z$(1)"Notation":Z$(2)"Operators":Z$(3)"Built-in functions":Z$(4)"Deriving functions":W$"12345":Z guide to make units on both axes equal. The selected domain limits may be changed to center the graph. Expanded domains are especially evident as graphs")\PNT$(1)T$(1)" approach infinity.":L2:K1:23600*\T$(0)"At least 50 points are needed ) =":"(exp("A$")-exp(-"A$"))/2":SPACE,1:BOX:&\PNT$(0)"The limits on each axis can be manually set and these limits will be used as absolute limits for plotting a graph."(\PNT$(1)"Automatically set x-, y- limits will use x-axis limits as a"Inverse cotangent: arccot("A$") =":"-atn("A$")+1.5708":SPACE,1:BOX:23600::"Inverse sine: arcsin("A$") =":"atn("A$"/sqr(-"A$"*"A$"+1))"::"Inverse cosine: arccos("A$") ="2"\"-atn("A$"/sqr(-"A$"*"A$"+1))+1.5708"::"Hyperbolic sine: sinh("A$"lt-in functions.":T$(1)"The following two screens provide examples of possible functions and how to derive them.":BOX:K1:L2:23600:A$"x":PNA$"@"\L0:23600::"Inverse secant: arcsec("A$") = ":"atn(sqr("A$"*"A$"-1))+(sgn("A$")-1)*1.6": \s are also "A$:BOX:23600::IN,15:"exp...exponential int...greatest integer abs...absolute value log...natural logarithm sqr...square root sgn...sign":IN:SPACE,1:VSP:BOX:\VSP:T$(0)"A number of desirable functions can be derived using the buiore any operations are performed.":T$(0)"Trigonometric functions are "A$:L1:K0:23600:CO,,58:IN,15\"sin...sine cos...cosine tan...tangent cot...cotangent atn...arctangent sec...secant csc...cosecant":IN:SPACE,1\T$(0)"Mathematical function"1.2e-2"::"10";:CO,Y:"as";:CO,X:"1e+5"::"-3.1X10";:CO,Y:"as";:CO,X:"-3.1e+10"\BOX,19,72,81,72,3:BOX,160,72,196,72,3:CO,44,76:"-2":CO,16,95:"5":CO,51,113:"10":IN:SPACE,1:BOX:j\A$"available. Functions are always evaluated befhe Shift-2 Key.":23600\T$(0)"Fractional numbers must be written in decimal form. Scientific notation can be used as seen in the following examples:":L1:K0:23600:[ \IN,20:"Standard";:X140:CO,X:"Apple"::"1.2X10";:Y90:CO,Y:"as";:CO,X:"."`\L2:T$"To use the value pi in your equation, use the Shift-3 Key.":PNL3:T$(2)T$\K1:23600:PNL2:T$(0)T$:T$(1)"Note that the function is graphed in radians and that theta (@) is entered in # radians. To use @ in your equation, use tum and maximum theta (@)":T$"-99# and 99#"\T$(0)T$(0)TT$" must be single numbers. Functions or expressions which use addition, subtraction, division, or multiplication cannot be used.":T$(1)"The computer will accept values between "T$" for "TT$entiation":[CO,15:"* /";:CO,50:"multiplication and division,":CO,50:T$::CO,15:"+ -";:CO,50:"addition and subtraction,":CO,50:T$:SPACE,1:BOX:-[T$(0)"Numbers used to define the ":TT$"x- and y-axes":T$"-1e36 and 1e36":PNTT$"minim+ addition - subtraction * multiplication / division"[L2:K1:23600:T$"from left to right":T$(0)"Parentheses may be used to override the normal hierarchy of operators. The standard hierarchy is:":L1:K0:23600:CO,15,60:"^";:CO,50:"exponWIND,1:PUT,0,0,TC!0:T$"":TT$"":A(0):23510h[A(0):WIND,1:PUT,0,60,TA!0:QMHQ:WHW:MM$TM$:[A$"variable x":PNA$"Shift-2 for theta (@)">[T$(0)"The expression consists of the "A$" used together with the following operators:":T$(1)" 4:W0:QM0q [FRAME,X12,Y13,X22,Y23,2,3:WIND,3:BOX:CO:"Help screens"CC$:MM$" "I$R$" "ES$H$"."1[HZ44:X14:Y78:33000:W5įWIND,1:BOX,0,0,279,160:FRAME,2,3,276,Y23,2,3:DFW,76,6,270,150:WIND,7:W123590,23550,23520,23570,23580:for a smooth curve. More points will take longer to plot. The curve may not appear correctly if too few points are selected. You can select from 20 to 500 points to plot.":L1:K1:23600!,\T$(0)"Explore the graph by changing the graph settings or by zooming in on a specific part.".\T$(1)"Arrow Keys move the zoom window. Greater-than and Less-than Keys make the window larger or smaller. The Zoom Option replots the portion of the graph that is in the window. /\L2:23600:0\?-:\CO:Z$(W)1:29100:29020v*pq,0,YK10,270,91:SQ0:OYY1:22000:(EQ$,4)AS$"^2="EQ$AS$"= SQR("(EQ$,5)")":SQ2PN1:*qET(EQ$):L13(ET2):(EQ$,L1,3)"LOG"İ29200*q:MEİ29100:29020*qZ$EQ$:L119:AA0.+qFIND,Z$,A,B$(L),A:(A)ĭB(L)A9ZO,QM:QM$:OYįPUT,0,OY,T3!0:OY0)aqTQ$EQ$:BOX,0,YK,270,YK9:16368,0:CO,,YK:;:XINP,32,EE$IP$"-",0,EX$,EQ$,X$:(X$(13)EQ$"")X$(27)EQ$SQ$:29090)dqX$"?"İ23500:29020*fqME0:E2$EQ$:LU,EQ$:(EQ$,2)AS$"="(EQ$,4)AS$"^2="ME"A$".";(oE1ĺ"Theta (@) should be from -99# to 99#."J(SoSPACE,1:S(HqINP(RqH$"entering equations":EX$"?"(13)(27):OY0:SQ$EQ$:YK15:Y360:Y40:WIND,3:BOX:CO,,2:"Please enter your equation."#)\qA(0):16299,0:WIND,3:CO,,82:MM$;:Cnumber from -1e+36 to 1e+36.":SPACE:280103'n'nE1ĺ"The difference between minimum and maximum "A$" must be greater."'nE2ĺ"The number of points you select must be from 20 to 500."(oE2ĺ"The maximum "A$" must be greater than the minimum (NU$,PL))+&mPLMA(NU$):PL(NU$)1L&mMA0EX0:PN128190,28080&mEX((NU$,PL1)):EX((EX))(EX)(((MA))(10))&mEX36MA0NU0:&mEX36NU(NU$):&mEX36ĭ((NU$))E1NU(NU$):-'mGCP,Y,Y:CO,,Y4:"Please enter a 3įBOX,0,75,270,91:CO,,75::ER$n%jmCO,ZX,ZY:XINP,MX,LE$,0,EX$,NU$,X$:16368,0:L(NU$):LX$(13)ı%tmFIND,NU$,1,"E",PL:FIND,NU$,PL1,"E",P2:P20NU$(NU$,P21)%mFIND,NU$,1,".",P3:FIND,NU$,P31,".",P3:P30NU$(NU$,P31) &mPLMA((TE$,(FOA1))T$7$iFO(TE$)SE$SE$(TE$,FOA1)H$jFO(SE$)ı$jTE$(SE$,FOA1,A1):(TE$"("TE$S$TE$"#")(TE$"0"TE$"9")ME1:$jFOFOA1:27120$`mINP#%emEX$(13)(27)(10)(11):NU0:MA0:EX0:BOX,ZX,ZY,ZXZL,ZY8:NU$"":W$(#i27100:MES$"#":T$"P":271002#iMEıU#iFIND,SE$,FO,"E",FO:FO27090f#iFO1ME1:#iX$(SE$,FO1,1):X$"."(X$"0"X$"9")FOFO1:27060#iET$(ET$,2)SE$:#iFOA1#iFIND,SE$,FO,S$,FO:FOı$iTE$SE$:SE$T$:FOA1SE$0:CSD:34000:AFT,1:WIND,1:PUT,D1,A0,T1!0:PUT,D1,D4,T2!0:]" gWIND:CL$:CO,,89:O$:p"g2500:29600:"xiL6("A")("Z"):L6$(L6):L6$IN$L6$"E"L6$"C"L6$"#"įFIND,SE$,1,L6$,FO:FO0ME1:#i:29800:ME0:S$IN$:T$"O":PN1T$INt! bK0:L2YA(1)YA(2).001YIYI:J(PY((L2YL)YD).5):J%(K)PZJ:KK1:(PZJ)0įPAL,1,0I22,PZJI32,PZJ!%b:J%(45)K:I1%(45)āI045:I1%(I)I%(I):J1%(I)J%(I):!*b!pbLM10:23000:O2$(I)(SP$Q$,10):!f2500:GDİ29600@"fDC0:2970XI2194:I3PX:25090. aI2I13:I20I20G aI3I12:I3PXI3PXk bYLYI(YLYI)YA(1)YL:25100 bYA(1)(YLYI)YIYI! bYA(2)(YGYI)YI:I10I1PXįPAL,1,0I12,PZI12,1:PAL,1,0I11,PZI11,1:P5įPAL,1,0206I1QX,107I1QX206,53P5įPAL,1,0206,108J1QY275,108J1QYaK0:L2XA(1)XA(2).001XIXI:I(PX((L2XL)XD).5):I%(K)I:KK1:(PZJ)0I198įPAL,1,0I2,PZJ2I2,PZJ3:PAL,1,0I1,PZJ2I1,PZJ3a:I%(45)K:I1(PX(XLXD).5):I10I20:I31:25090 aI1P3aJ1(PY(YLYD).5):J10J20:J31:25050SaJ1PYJ2156:J3PY:25050jaJ2J12:J20J20aJ3J12:J3PYJ3PYaXLXI(XLXI)XA(1)XL:25060aXA(1)(XLXI)XIXI*aXA(2)(XGXI)XI:J10J1PYįPAL,1,02,PZJ1PX2,PZJ1:CC$:LāI1L::T$(I1)::KįSPACE,1:BOX3C\>aGRIDS]aZ1206:Z2275:B153:B2107aWIND,1WS:DUP5įIVB,Z1,B1,Z2,B2aBOX,2,1,197,158:DUZ1206(SX2)68PX:Z2Z1SS(SS)68:B153(SY1)54PY:B2B1SS(SS)54aDU1:P5įIVB,Z1,B1,Z2,B2$(Z$,AA1)(B(L))(Z$,A(B$(L))):29072t+q(A)Z$(Z$,AA1)"1"(203)(220B(L))(Z$,A(B$(L))):29072+q:TQ$Z$:300:MEME2:29100:29020+qEQ$E2$:WIND,1:BOX,0,183,279,191:CO,,183:EQ$+q+qERROR MSSGE1,qWIND,3:BOX,0,28,270,74:CO,,29:"Equation entered: "E2$:CO,,50p,qME1ĺ"The equation should begin with "AS$"= or "AS$"^2=",qME1ĺ"The equation is not formed properly.",r,rLOG ERR,rL31:L2L14ET:(EQ$,L2,1)"("L3L31-$r(EQ$,L2,1)")"L3L31 "(N65(W0)(WF2))" is ":COWE32ĺT$"outside the window.":WIND,1:BOX,D1,144,D2,156:WIND,7:SPACE,1:WIND,1:PUT,X1,Y1,TB!A0:E31ĺT$"currently undefined.":PEįWIND,1:BOX,D1,144,D2,156:WIND,7:SPACE,1:WIND,1:CO,206,146:"GraGHT ARROW JKF0:CI19İ200PTFCFMFCFCA1:FCS1FCS2FCS3FCFCA1[]200:uGRAPH ERROR MESSAGESPEıWL(CE,6)A0:L(CE,5)0:500$X10:X2278:Y160:Y2C4:TF0:TAKE,X1,Y1,X2,Y2,TB!0:2000:WIND,7:T$"The graph for equationXL,YA9Y(Y):*Y(Y):7Y(Y):I(Y)E31:XY1(Y):j(Y)E31:yY1(Y):(Y)E31:Y1(Y):,LEFT ARROW6KF0:CI19İ200;FCLMFCFCA1:FCS1FCS2FCS3FCFCA1?200: @RIoften as is necessary to discover the relationship between each part of an equation and the graph of the equation on a Cartesian coordinate system.":2000 TF0:1000 INPUT BOX XC%(A0,CE)O%(WF,FC)A1:YC%(A1,CE)A1:XLO%(WFA1,FC):IVB,X,Y,X" is a tool you can use to investigate linear, quadratic, and trigonometric equations." TI$PN$:T$(1)"Any part of an equation can easily be changed and the coresponding graph will be modified to reflect that change." T$(2)"Change an equation as :L03:C%(0,L),C%(1,L)::L05:O%(0,L),O%(1,L): K242:L011:O%(K,L),O%(KA1,L):::L01:J462:K01:C%(K,JL)C%(K,L):::Y DFT,11,PB:DFT,10,PT:WVB,48893!1,1:16299,0:230,64:WIND,1:CL$:X10:X2279:Y10:Y2190:TF2:T$(0)PN$30,32:DFW,20,0,280,192 CST,ST:L05:M$(L,0)::K12:L05:M$(L,K)M$(L,K1):::L02:M$(L,3)::K462:L011:M$(L,K):M$(L,K1)M$(L,K):::L010:S$(L):6 WVB,PT,5:WVB,PT1,0:LPT2PT11:A:WVB,L,A::LPT12PT26:A:WVB,L,A:BANK,0 C0.5:C190:C232760:C380.5:C4100:C59.9:C68:C7200:C810:C911:D3162:H18192:H216384:IA5809:K8$(K8):PB1024:PT8160:ST3996:TA37104:TB38912:TM36500 B(1),C%(1,7),O%(5,11),E$(11,7),M$(11,7),S$(10),L(7,6):B(0)TB:B(1)43704 2 EQUATION MATH(PROGRAMEXPLOREGPROGRAMMER: KEVIN W. NEFFe(COPYRIGHT (C) MECC, 19862LAST UPDATE - 87/05/04 KWNdBANK,1:WVB,48893,0:31232:35327:INSERT,"COMMON.LIB":32000 nEX$"Exploring ":PN$EX$"Equations"::40000:PN2:&/6tDC2DC4į,D1,145,D2,155:D/@tDC3į,D1,110,D2,155:J/gt/htI1(ET$):Z((ET$,I,1)):Z6ET$(ET$,I1)(194)"F"(48Z)(ET$,I1)/rt:/tOM$M$įBOX,0,164,279,172:OM$M$//uCO,,164:M$:8,TA!0:PGG,I%(45),I%,J%(45),J%:<.sGD0:PUT,0,1,TA!0:E.tDIMn.tDCį,D1,A0,D2,D3:,D1,D4,D2,D5:.tDCA0į,D1,A0,D2,A9:DCA1į,D1,10,D2,20:DCA2į,D1,22,D2,32:DCA3į,D1,33,D2,D3."tDCA0ı/,tDC1DC4į,D1,134,D2,144:DC1ı-.rL329290f-8rTE$(EQ$,L11)"("(EQ$,L1,L2L11)")":T$EQ$:EQ$TE$:ETL2EQ$TE$(T$,ETL2)-BrETET5:L1L17:L2ET1-jr:L3ME3-sr-trTRIG-~rT$"1/COS":-rT$"1/SIN":-rT$"1/TAN":-rT$"ATN":#.sGDGD1:TAKE,0,1,197,15phing"DRAW LINE}CSD:230,32:WIND,A2:PUT,A0,A0,TB!A1:DEB,A5:LA0A3:F(L(L,A4)A0):MA0F(L(L,A4)A0)*L(L,A5)ĭL(L,A0)99X1L(L,A0)C5C4:Y1L(L,A1)C6C3:X2L(L,A2)C5C4:Y2L(L,A3)C6C3:Y3L(L,A5)C5C6C3:TTF,X1,Y1X2,Y2Y3:L(L,A4)įBOX,X2F,A0,C7FX1F,K1,A3&:WIND,A1:LA0A3:L(L,A6)įDEB,L1:PAL,A1,A1L(L,A0)C5C4,L(L,A1)C6C3L(L,A2)C5C4,L(L,A3)C6C3W:230,64:CSU:XCHECK EQUATION PRIOR TO DRAWINGBbJL(CE,A6):L(CE,A6)A1:LA2FMA3:T$(E$(L9 HW2T$(0)T$(0)"a, b, c, and d in the equation." T$(1)"The recommended range of numbers is -10 to 10. Examples of acceptable numbers include: -9, -4.3, -.09, 1.26, and 8."#! T$(2)"The color of each plotted line will match the colored box o$(0)"A or B."| T$(0)T$(0)T$:T$(1)"Use the Right and Left Arrow Keys to move the cursor through the equation.":2000 TF2:T$(0)"Type a number for ":HWT$(0)T$(0)"m and b in the equation." HW1T$(0)T$(0)"a, b, and c in the equation." PUT,A0,60,B(A1)!A1:TI0:TF0:WHW:HFįPUT,D1,A0,TA!A1:200[ 16299,0:16368,0: TI$Z$(0):TF1:T$(0)"To select one of the equations, press ":T$" A new equation can be selected at any time.":HWT$(0)T$(0)"A, B, C, or D." HWT$(0)TXA8:Y96:X1A0:X2278:Y160:Y2101:TAKE,X1,Y1,X2,Y2Y1,B(A1)!A1:DFW,3X1,Y1,X2,Y2:WIND,3:BOX:FRAME,X13,Y13,X22,Y2Y13,2,3:CO,,14:"Help screens"CC$ 16368,0:16299,0:33000:CSD:16300,0:W3Y10:Y2160:W13250,3270,3280:A(0):3212A,A0,196,162,TB!A1:Wİ50070 WĹ230,64:,A1A0,A0B 200:T HELP SCREENS MM$" "I$R$" "ES$"graph.":KF0:Z$(0)"Getting started":Z$(1)"Edit equations":Z$(2)"View commands":W$"123":Z2:HWW:W0:HZ44:CSD:DC3:700:HFİ200 A(0):O%(WF,L),Y:M$(L,CE)::WA1įCO,XO%(WF,A3)A7,YA3:"2"fFMXXO%(WF,FC):BOX,XA1,YA1,XO%(WFA1,FC),YA9:CO,X,Y:E$(FC,CE): PLACE GRID& KF0:200:230,32:PUT,A0,A0,TB!A1:DFT,A7,IA:UIM,A2,B(A0):DFT,A7,B(A0):,A1A0,A0:TAKE,A016299,0:CO:TI$CC$::L0TF:T$(L):::SPACE,1:CSD:16300,0:PUT,X1,Y1,TB!0`3WIND,1:{4PRINT LINEAR FORMULAS>XC%(A0,CE):YC%(A1,CE):MXA5:CEA4MXA2CJA0:WMXA8:JWFA2:WA1MXC9HSHIGH:CEA1įCHIGH;RFMāLA0MX:CO,X0,4800:WĭKFİ600:650:200?tCI16Ĵ(CII1)14600,4100W~CIA4CI151120]mPRINT TEXTTFįTAKE,X1,Y1,X2,Y2,TB!0WIND,1:BOX,X1,Y1,X2,Y2:FRAME,X13,Y14,X25,Y24,2,3DFW,7X18,Y18,X212X1,Y212Y1:WIND,7RTFĹ"AB":I130:WL$L$"CD"w[FCA1(WA0):L1$L1$(13)(27):CR0:200:TAKE,D1,A0,D2,D3,TA!A1:HF1:VC1:DC1:700_INPUT LOOP`16368,0:WFK,L$,CI:CI19KF1:CI3100,3200,3400,3700,3500,3600,300,320,4400,4400,4700,4700,4700,4500,3700,3200,480W3FC2:S13(W2):S26:S39:TAKE,0,0,196,162,TB!1:CSU:230,64:WIND,1:1100:1000hKZ$"":31000sLINPUTVLCECENP:L(L,6)0:L(L,5)0:J0FM:E$(J,L)M$(J,L):::L1$(8)(21)(10)(11):L$"GHPQRL"L1$"<>="(127)(27)"?-+.0123456789""(W0)".PCK":230,32:DUN,T$TB,10:T$"EXPLORE"(W1)".IMA":RFL,T$IA:DFT,7,IA:UIM,1,B(0):DFT,7,B(0):IMAGE,1,0,0WIND,2:W0LM1:FM0:NP3:CE0NP:2100::CE0:FM5$WFLM2:FM0:NP1:CE2WF3WF:2100::CE2WF:FM8:W1FM11WB64:WIND,1:CL$:FRAME,3,30,276,150,2,3:CO,0,40:PN$CC$:Z$(0)"Linear":Z$(1)"Quadratic":Z$(2)"Trigonometric"MM$" "I$R$" "ES$"Main Menu.":X14:Y60:HZ50:W2W0|W$"123":Z2:DB1:33000:DB0:W3WF2W:CL$:CO,,89:O$:CH0:T$"EXPLORE36(DCA2):DCĭDCA3į,D1,4828(DCA4),D2,5812(DCA1)66(DCA4)OgUPDATE L,R DIMMINGVOVC:VCA0L(CE,A6):CSD:16300,0:PUT,D1,A0,TA!A1:VCA0DCA0:70016299,0:KF0:INTROqA(0):CHIGH:BANK,0:16299,0:230,,CE),A1):T$"m"T$"a"T$"b"T$"c"T$"d"L(CE,A6)A0:LFMA1Ju:_UPDATE EQUATION}WĭL(CE,A6)JDCA4:700L(CE,A6)ĴW15000,5100,5200:J1JĴW1500,6000,6100:WįPUT,D1,A0,TA!A1DIMMINGI,D1,A0,D2,C824(DCA1)f the selected equation.":2000:! TI$Z$(1):TF2:T$" will increment or decrement a number or, when the cursor is on the +":T$(2)"Pressing the Up or Down Arrow Keys while the cursor is on ":HWT$(2)T$(2)"m or b"T$" or ="" HW1T$(2)T$(2)"a, b, or c"T$8" HW2T$(2)T$(2)"a, b, c, or d"T$" T$(2)T$(2)" sign, display a window from which you can select a different sign."# T$(0)"An equation can be repeatedly modified and replotted.":T$(1)"The Delete Key will erase a number.":2000E,5)0:L(CE,6)0:500A0E$(FC,CE)SC$:2100:600:750:Wİ200G0\0SWITCH EQUATION0200:CHIGH:CECII1:CLA3:FCA2(W):FMA2A3(CEA3):CEA2įSHIGH:WCECEA2WF:FMA8:WA2FMC90 VC1:LA1FM:E$(L,CE)M$(L,CE)VCA01:VCİ60C9KF0:d/200:SC$"":SA0:E$E$(FC,CE):T$(E$,A1):L(E$):T$")"SA1:T$(E$,(E$)A1,A1)/T$"b"T$"m"T$"a"T$"c"CA0:/L1SC$(E$,LA1S):SSC$SC$")"0L1SC$"-"SC$"."SC$"-."SC$"(-)"SC$"(-.)"SC$M$(FC,CE):WL(CA2(E$(FC,CE),A1)"("T((E$(FC,CE),A2,(E$(FC,CE))A2))SDA2X.vT999T9999ı.SC$(T):(SC$)A4SC$(((SC$,A4))).T0FC2SC$"("SC$")".E$(FC,CE)SC$:2100:600:750:Wİ200..DELETE INPUT /FCA2FCA5FCA8FCPUT,A0,60,B(A1)!A1j-]R4430,4435:PUT,X1,Y1,TM!A1:C300,320:CA5E$(FC,CE)S$(S):2100:750:Wİ200-^CA5įCSD:16300,0:PUT,D1,A0,TA!A1:VCA1DCA0VC:700-`WĭCA6İ200-a16299,0:-bNUMERIC INPUTC.lT(E$(FC,CE)):TTSDA2:FCA2,X2A8,Y1KA9A7,S16368,0:WFK,X$,C:R0:CA3CA4R1:SDA1A2(CA3):IVB,X1A5,Y1KA9A2,X2A8,Y1KA9A7:SSSD:SNSNFTS:SN:TNSNF-XCA6HF1:T1X1:T2X2:T3Y1:T4Y2:ZKKF:3200:KFZK:CA7:R2:X1T1:X2T2:Y1T3:Y2T4:DC2:700:700:INNF:E$(FC,CE)S$(I)SISD:SNSNFTS:SN:TNSNF+I:TF0:X1C%(A0,CE)O%(WF,FC)A9:X2X1O%(WF1,FC)18:Y2D3:TAKE,X1,Y1,X2,Y2,TM!A1:2000:WIND,7:CO:INNF:S$(I)::WIND,1:X$L1$"H?"+MINPUT LOOP,NKS(N1):IVB,X1A5,Y1KA9(0):2100:600:Wİ650S*c750:C((X$(21))2(X$(8))):CCI20:C320,300:^*g200:w*0UP/DOWN ARROW INPUT*:SDA1A2(CIA9):FCA2FCA5FCA8FCC94450*?SDSD:NA0:NFA2:Y1120:FCA1NA3:NFA4:Y1130:FCA3NA5:NFC8:Y190B+DDC2:A1,YA1,XO%(WFA1,FC),YC8:CO,X,Y:XINP,A4,"-09.-",0,(27)(13)(8)(21),E$,X$:X$(13)4190)T(E$):SCA1:T4150)SCA0:NF(E$):LA1NF:T$(E$,L,A1):T$"0"SCA1:LNFA1)")6FCA2ĭTA0E$"("E$")")@SCE$(FC,CE)E$*^A1:16368,0:30100-(Z$"Y"CIA0:KFA0(WIND,1:CSD:16300,0:PUT,X1,Y1,B(A1)!A1:PUT,D1,A0,TA!A1:VCA1DCA0VC:700(200:16299,0:KF0:(NUMERIC INPUT( FCA2FCA5FCA8FCC9ıf)200:XC%(0,CE)O%(WF,FC):YC%(1,CE):BOX,XUIT COMMAND@'~200:A(0):DC4:700:X1A0:X2278:Y160:Y240(WIND,A1:TAKE,X1,Y1,X2,Y2Y1,B(A1)!A1:BOX,X1,Y1,X2,Y2Y1:DFW,3X1A6,Y1,X2A6,Y2:WIND,3:FRAME,X1A2,Y1A3,X2A2,Y2Y1A4,A2,A3:CO,,10:"Are you sure you want to quit? ":CO,100,20:Z:TFM:FMA0:2100:FMT:FCA1FM:E$(FC,CE)M$(FC,CE)::FCA2(W):WĴW5100,5200j& W1500,6000,6100&CSD:16300,0:PUT,D1,A0,TA!A1:VC1:DC1:700:16299,0:200:&LINE DRAW&KFA0:VCA1ı&Wı&$KFA1:200:600:650:200: 'tQ4000 % 16300,0:750:200:6% RESTORE EQUATIONI% KFA0:VCA0ıb% 200:JA0:WA2JA1% L(CE,A5)A0:L(CE,A6)A0:WDC4:700:CO,206,146:"Restoring"S& BOX,C%(A0,CE)O%(WF,A1)A1,C%(A1,CE)WFJ,C%(A0,CE)O%(WFA1,FM)O%(WF,FM),C%(A1,CE)A9:STORE: Press the R Key to restore the current equation to its original form.":T$(T3)"QUIT: Press the Q Key to end this program and return to the Exploring Equations menu.":2000:$ LINE DRAW$ CRW:$H PRINT$R KF0:200:DC4:700:CSD%z 3:q# TI$Z$(2):TF3:T0:HWTF4:T1:T$(0)"LINE DRAW: Press the L Key to draw the current equation.":Y2191# T$(T)"PRINT: Press the P Key to print a copy of the screen.":T$(T1)"GRID: Press the G Key to display or remove a grid."$ T$(T2)"RE0:7501 VCA0DCA1:700)1[200:>1\CHANGE EQUALITYG1fWıZ1pFCA1KF0:1z200:E$(FC,CE)"<":CI11E$(FC,CE)">":CI12E$(FC,CE)"="12100:Wİ2001750:1+ & - INPUT1WA2ĭFCA4FCA7KF0:2WA2ĭFCA7FC10ı02200:E$(FC,CE)"-":CI18E$(FC,CE)"+"B22100:Wİ200M2#750:i2CALCULATE LINES 3PE0:M(E$(2,CE)):SB(E$(4,CE)"+"):L(CE,5)1(E$(1,CE)"=")2(E$(1,CE)">"):B(E$(5,CE))(12SB):(E$(5,CE),1)"("B((E$(5,CE),(E$(5,CE)4,166,4,181,145,166,145,181/@Y#O%(1,3) DATAT@Z#16,9,25,7,33,39,73,7,82,7,91,42@\#18,9,27,7,35,39,75,14,91,7,99,42,142,7,150,7,158,42,,,,,,@^#18,9,27,7,35,39,76,24,102,6,109,42,153,7,162,7,171,42,215,6,222,7,231,42 F! D$ -%"$" ",,, J?6#"Y","="," a","sin","("," b","X","+"," c",")","+"," d"Z?;#S$(4) DATA?<#"<","=",">","-","+","sin","cos","tan","sec","csc","cot"?E#PATTERN DATA?F#12,0,15,0,18,0,21,0,24,0,1,130,6,1,130,5,1,2,2,1,2,1,1,2,3?O# C%(1,4) DATA@P#X3.9T(FYLY)(FXLX):BBFYTFX:TX(EYBB)T:PAL,A1,A1TX,EYFX,FY:PLPP:OS1p>.:PEįPUT,A0,60,TB!A0>3OSE32:PE0:400>7:>(#BASIC FORMULA DATA>2#"Y","="," m","X","+","b","X","=","b"?4#"Y","="," a","X","+"," b","X","+","c190#=PEĭE3įPUT,A0,60,TB!A0e=YL(N,A0)YL(N,A3):PYC3Y32:PPOP:OPA0:PYA2OPA1:EYA2~=PY160OPA1:EY160=PPĭOPįPAL,A1,A1OX,OYPX,PY:OS1:6190=PPOPA16190=FXOX:FYOY:LXPX:LYPY:PPA1FXPX:FYPY:LXOX:LYOYU>)SP(.2L(N,A1)L(N,A0)):(SP.09L(N,A4)3)SP.01SP.01.08(L(N,A4)3)_<SP.5SP.5=BOX,D1,144,D2,156:CO,206,146:"Graphing":X3.93.9SP:PEE3:E30:OXPX:OYPY:PXX25.3C4:YL(N,A1)XL(N,A2):L(N,A4)270,272,274,276,278,280:E3İ400:6:PAL,A1,A1TX,EYFX,FY:PLPP:OS1K;YYM:MMDM::OSE32:PE0:400S;:h;DRAW TRIG GRAPH;CSD:230,32:PUT,A0,A0,TB!A1:230,64:CSU:CL01:NA2WA2CL:DEB,CLA1:L(N,A6)6199N<OS0:XC5:PLA0:OPA1:PPA0:E30:SP.3:L(N,A1)L(N,A0XXC8C4:PYC3YA8:PPOP:OPA0:PYA2OPA1:EYA2N:PY160OPA1:EY160~:PPĭOPįPAL,A1,A1OX,OYPX,PY:OS1:6090:PPOPA16090:FXOX:FYOY:LXPX:LYPY:PPA1FXPX:FYPY:LXOX:LYOY$;XC5T(FYLY)(FXLX):BBFYTFX:TX(EYBB)T2:Y1(L(N,A0)XL(N,A1))XL(N,A2):XXSP:Y2(L(N,A0)XL(N,A1))XL(N,A2):XXSP:Y3(L(N,A0)XL(N,A1))XL(N,A2):MY1Y2:DMM(Y2Y3):YY1:PLA0:OPA0:PPA0:PXC5C8C4:PYC3YA85:BOX,D1,144,D2,156:CO,206,146:"Graphing":XC5C5SP:OXPX:OYPY:P,A2))8xE$(10,K)"-"L(K,A3)L(K,A3)S8LA5C8:S$(L)E$(A3,K)L(K,A4)LA4Y8a8:w8VCA0DCA1:7008pDRAW QUAD GRAPH8uCSD:230,32:PUT,A0,A0,TB!A1:230,64:CSU:CL01:NA2WA2CL:DEB,CLA1:L(N,A6)60999zOS0:SP.4:XC5.0L(K,A2)L(K,A2)7O:57PCALCULATE TRIG LINES7ZK67:L(K,A0)(E$(A2,K)):L(K,A1)(E$(A5,K)):L(K,A2)(E$(A8,K)):L(K,A3)(E$(C9,K))7dLA1A3:L(K,L)E$E$(A2A3L,K):(E$,A1)"("L(K,L)((E$,A2,(E$)A2))8n:E$(A7,K)"-"L(K,A2)L(KE,5)0L(CE,4)1636CALCULATE QUAD LINESz6K45:L(K,A0)(E$(A2,K)):L(K,A1)(E$(A5,K)):L(K,A2)(E$(A8,K))6LA1A2:L(K,L)E$E$(A2A3L,K):(E$,A1)"("L(K,L)((E$,A2,(E$)A2))6 :E$(A4,K)"-"L(K,A1)L(K,A1)7E$(A7,K)"-"CE:400:Z5J03:L(CE,J)C5L(CE,J)C5L(CE,J)(L(CE,J)C5)(C5)(L(CE,J)C5)C5`55L(CE,4)0:L(CE,5)ĭ(L(CE,0)C5L(CE,0)C5)(L(CE,2)C5L(CE,2)C5)L(CE,4)1:(M0L(CE,5)0)(M0L(CE,5)0)L(CE,4)16CE3ĭL(CE,5)L(CE,4)1:L(CT:TL(CE,2):L(CE,2)L(CE,3):L(CE,3)Ty4CE3TL(CE,0):L(CE,0)L(CE,1):L(CE,1)T:TL(CE,2):L(CE,2)L(CE,3):L(CE,3)T4M0TL(CE,0):L(CE,0)L(CE,2):L(CE,2)T4(L(CE,0)C5L(CE,0)C5)(L(CE,1)C5L(CE,1)C5)NCE:400: 5CE3ĭMC5MC5N)1))(12SB)43M0ĭB9.9B9.9NCE:400:`3CE3BM:M0:B9.9B9.9NCE:400:'4L(CE,0)C5:L(CE,2)C5:L(CE,3)B:L(CE,1)B:M0L(CE,0)(C5B)M:L(CE,2)(C5B)M:L(CE,3)C5MB:L(CE,1)(C5)MB:CE3TL(CE,0):L(CE,0)L(CE,1):L(CE,1)Ј5֠9 C4 - : C4% $$%% $8: C4$%% $R: C4$%% $n: C4$%% $  POLAR%COPYRIGHT:1987 MECCCPRGRMMR:S.JENSEN, K.NEFFO232000<35700:45700:BANK,1:WVB,48893,0:INSERT,"COMMONPP.LIB":INSERT,"COMMON.LIB":BANK,0:CSD:16300,0:DUN,"POLY.PCK"42510,5:RFL,"POLAR.IFT"40381O d40000:PN$"Polar":PN$LE$".-"VPA$"@":ZXX:ZYY:28000:LX$(13)Q$O2$(SW):Z3(X$(11)):1395ZPP0:DL0:P50:Q(O2$(SW)):SWĭLE((.001(OGNU)))3((NURD)OG):EE0(NU99NU99):EOLNURD:QNU#_SW1ĭLE((.001(NUOL)))3(OL(NURD)):EE0WFK,WF$"?"(27)"-.0123456789",Z:ODOGOL:Z11325C2Z7ıe7IVB,X2,Y,XZL,Y8:Z71350<Z6İ23500:X204:WIND,3:1320>Z3Z5SW(SW1)(SW2):1320@SW(SW1)(SW0)(2SW):1320FCHNGE VALUE KMX3:LE$"-09":SW2MX4:LE0:BOX:1210W71205jCSD:16300,0:W1įWIND,1:PUT,0,Y1,TB!0:PUT,D1,0,T1!0:PUT,D1,D4,T2!0M$ES$"Polar menu.":29900:SETTINGSSW0:EX$"?"(13)(27):UD0:DU0:700(Y19SWA9:16299,0:IVB,X2,Y,XZL,Y88-16368,0:1,X2,Y2:FRAME,X12,Y13,X22,Y23,2,3:WIND,3:16299,0:H$CC$W0:MM$" "I$R$" "ES$"graphing. ":Z$(0)Z2$:Z$(1)Z1$:Z$(2)"See theta values"WIND,3:16368,0:CO:H$CC$:16299,0:Z2:W$"123":X10:Y88:HZ44:33000:16368,0:W2Y123:80ents.":899r>L1T:QTH(L)180:23000:"Beginning @ = "Q$"#":QHT(L)180:23000:CO,22:"Ending @ = "Q$"#":SPACE,1:GDİ29600AQM196:M$"":29900:X10:Y160:H$"Options":WIND,1:DC4:29700:DC4:29700:TAKE,X1,Y1,X2,Y2,TB!0:BOX,X1,Y3WS:BOX:CO:"Theta (@) line segment values"CC$::I99:QODNP:23000/THĺ:"There are no line segments in the window to give theta (@) values for.":899 4TTH(TH6)5(TH5):T3ĺ:"Theta (@) values can only be given for up to three line segm,LNL1L1!1,58::L20:200:P50:DL0:ZL44:X204:A(0):Y3Y140:Y460:WIND,3:BOX:CO:H$"Polar settings":H$CC$:W2įCO,,75:I$:MM$;:CO,QM:QM$I02:CO,,20I9:O1$(I);:CO,X:O2$(I);:I2įCO,XZL4:"#":: THETAI*WIND,XR(O):YR(O):OSD- RSP:E316ME1K X(L2)X:Y(L2)Y:E%(L2)E3Q +_ ,TOKENIZE 6SE$(TQ$,3):ET$TQ$:27000:TQ$ET$:MEı)@PP0:RAV,E%:RAV,X:RAV,Y:E%(500),X(500),Y(500):L1(TQ$):WVB,LNL1!1,((TQ$,L,1))::L1050(TQ$):WVB^2 = expression"CC$:SPACE,1 WHERE,250,LN:LNLN4:SZ7:A$"":ZX0:ZY0:GD0:IP$"@#":AS$"R":IN$"@":WVB,48893!1,1:EQ$"":KW0:10000 E30 SSP:OODR :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::  t most forms of equations given in the polar coordinate form. 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";:GCP,ZX,ZY:Z0:30100:WIND,1:PUT,X1,Y1,TB!0:Zİ12000:W2:WIND,1:BOX,2,1,197,158:BOX,206,53,H$PN$" menu":A(0):BOX,X1,Y1,X2,Y2:FRAME,X12,Y13,X22,Y23,2,3:WIND,3:H$CC$(f+Z$(0)Z2$:Z$(1)Z1$:Z$(2)"Graph the equation":X14:Y90:HZ44:W2W0(p+D%(0)0:(EQ$)D%(0)1:D%(1)2))z+QM196:MM$" "I$R$" "ES$"Main Menu.":16299,0:WWįCSD:16300,0:DUN,"POLY.PCK"42510,5:AFT,1w''16368,0:WIND,1:BOX,0,173,279,191:CO,,173:"Equation:":EQ$""'*INITIAL MENU'*+KW1:W0:DC0:29700:X10:X2279:Y160:Y2160:WIND,1:TAKE,X1,Y1,X2,Y2,TB!0V(\+OM$"":M$"":29900:CSD:16300,0: PROGRAM: POLYDPROGRAMMER CCOOPER JBULLIS(ORIG-COMMODORE)vS.JENSEN(CONV-APPLE),K.NEFF(REVISIONS-APPLE)COPYRIGHT (C) MECC, 1987(UPDATE87/06/08 KWNZ32000Q d36000:41000:BANK,1:WVB,48893,0:INSERT,"COMMONPP.LIB":INSERT,"COOX,0,10,180,150:CO,35,11:"x":CO,130,11:"y":PAL,1,017,26181,26:PAL,1,097,1797,155:PAL,1,098,1798,155%WIND,1:DC3:29700:BOX,4,27,95,156:BOX,100,27,196,156:WIND,5:CO,,27:VSP,0:I99:L014:XXCLIC:QX:23000:A$Q$:T$S$:E30:200:Q$+-":CO,4,158:ES$"Options menu.":CO:"Table of ordered pairs"CC$::"Starting x: ";:GCP,ZX,ZY:28000:GCP,Y,Y:(NU$)X$(13)1299XCNU:16368,0:CO,,Y::CF$"Increment: ";:GCP,ZX,ZY:28000:(NU$)X$(13)1299r,4,158,180,166:ICNU:BCSD:16300,0:W1įWIND,1:PUT,0,Y1,TB!0:PUT,D1,A0,T1!0:PUT,D1,D4,T2!0rM$ES$"Polygraph menu.":29900:800:1210CSD:PUT,0,Y1,TB!0:BOX,0,0,199,177:FRAME,3,3,196,175,2,3:TAKE,D1,D4,279,D5,T3!0:DC3:29700:WIND,5MX6:LE$"-09.EM$" "I$R$" "ES$"graphing. ":Z$(0)Z2$:Z$(1)Z1$:Z$(2)"See current window limits":Z$(3)"See table of ordered pairs"WIND,3:16368,0:CO:H$CC$:16299,0:Z3:W$"1234":X10:Y85:HZ44:33000:16368,0:W2W3ĴW11220,1250W71205L:"y-axis:":QYL:23000:A$Q$:QYG:23000:"from "A$" to "Q$"."CC$X=SPACE,1:BOX:eOPTIONStGDİ29600M$"":29900:H$"Options":DC4:29700:DC4:29700:TAKE,0,Y1,279,Y2,TB!0:BOX,0,Y1,279,Y2:FRAME,2,Y13,276,Y23,2,3:16299,0}W0:M75:I$:MM$;:CO,QM:QM$iIA0A5:CO,,12IA9:SP$(I)O1$(I);:CO,180:O2$(I)::YCį,A0,39,260,56oy SIZE*I99:Y123:WIND,3WS:BOX:CO:"Current window limits"CC$::"x-axis:":QXL:23000:A$Q$:QXG:23000:"from "A$" to "Q$"."CC$D4GRAPH MESSAGES0E3M$"Graphing":M0[E3M$"Graph currently undefined":M1rMMMMMM:29900xSETTINGS MENU X180:ZL80:O2$(A2)((SP$YN$(YC)),10):Y3Y160:Y440:WIND,3:BOX:CO:H$"Polygraph Settings":H$CC$:W2įCO,,:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::R RSP:E316ME1X +f ,TOKENIZE TIN$"X":SE$(TQ$,3):ET$TQ$:27000:TQ$ET$:MEı^PP0:L1(TQ$):WVB,LNL1!1,((TQ$,L,1))::L1050(TQ$):WVB,LNL1L1!1,58::200:P50:"equations must be in the form:":::"Y = expression"CC$::"or"CC$::"Y^2 = expression (for conics)"CC$:SPACE,1 YC1:DL0:P50:SW0:SZ7:GD0:IP$"Y":AS$"Y":WVB,48893!1,1:EQ$"":KW0:10000 ENTER EQUATION E30:SSP= ::::::::::::::::00:YL1:QYL:KLQ:I3:23000:YG1:QYG:KGQ:I4:23000:QNP:I5:23000 230,32:WIND,2:BOX:FRAME,2,2,277,188,2,3:WIND,7::PN$CC$" "PN$" will plot mathematical equations. The independent variable is x and the dependent vaiable is y. All ";v DFT,1,40381:AFT,1:230,32:DFW,20,0,279,191:DFW,46,64,270,94:DFW,710,5,264,179:230,64:DFW,36,64,270,94:DFW,54,6,192,168:DFW,66,126,270,32:TAKE,D1,0,D2,D3,T1!0:TAKE,D1,D4,D2,D5,T2!0I XL1:QXL:JLQ:I0:23000:XG1:QXG:JGQ:I1:230MMON.LIB":BANK,0:CSD:16300,0:DUN,"POLY.PCK"42510,5:RFL,"POLAR.IFT"40381 n:40000:PN$"Polygraph":PN0:B$(19),B(19),SS(2),SP$(5),O1$(5),O2$(5):I05:O1$(I)::L119:B$(L),B(L)::I02:SS(I)::L05:SP$(L)""::SP$(3)" ":SP$(4)SP$(3)" undefined":S$"":E3QY:23000zGCP,Y,Y:CO,1(X0),Y:T$A$:CO,98(Q0),Y:S$Q$::VSP:PUT,D1,D4,T3!0:WIND,5CO,4,158:ES$"Options menu.":16368,0:WFK,(11)(10)(8)(21)(27),Z:,4,158,180,166:Z51299 A(0):Z1Z3XCXC14IC:1265! XCXC14IC:1265:16300,0:CSU:1210HSETTINGStSW0:EX$"?"(13)(27):UD0:DU0:700(Y11SWA9:16299,0:IVB,X,Y,XZL,Y8-16368,0:WFK,WF$"?"(27)"-.0123456789YyNn",Z:Z113252Z7ı 7IVB,X,Y,XZL,Y8:$ SY1SY1 $ SX2SX2P$ SXSS(SS)PXPX2SXPX2SS(SS)PX(SS2)V$ f$DRAW GRAPH$DC0:29700:MM1:DF0:ME0:PL0:OP1:PP0:SPXDNP$XXLXGSP2SP:OXRX:OYRY:OEE3:E30$SSP:RX(XXL)PXXD2$RSP:E36180%200:1:SS1įPUT,D1,D4,T2!0/#F SSDC1:297005# A# LARGERS# 2500:SS2ı# XX(SS(SS1)SS(SS))PX2:YY(SS(SS1)SS(SS))PY2:SXSXXX:SYSYYY:SSSS1:SS1įPUT,D1,D4,T2!0# SS2DC2:29700$ SYSS(SS)PYPY1SYPY1SS(SS)PY(SS2)1 "("2500:SXSXSZ:SX2SX2." m"` 2500:SXSXSZ:SXSS(SS)PXPX2SXPX2SS(SS)PX(SS2)s"j " RECT,SX,SY,SXSS(SS)PX,SYSS(SS)PY:"( SMALLER"2 2500:SSı#< SXSX(SS(SS)SS(SS1))PX2:SYSY(SS(SS)SS(SS1))PY2:SSSSFMYD(FM):FME2YD2y!YLFMYD2:YGFMYD2:XX(XGXL)2:YY(YGYL)2:XXYYYGYGYYXX:YLYLYYXX:YDXD:2090!XGXGXXYY:XLXLXXYY:XDYD!*!42500:SYSYSZ:SYSS(SS)PYPY1SYPY1SS(SS)PY(SS2)!>"2500:SYSYSZ:SY1SY30E3133E369E353ME1:2090@ E30(Y)1E362050Y DF0FLY:FGY:DF1h YFGFGYw YFLFLY}  PPSQ:PP2060 (FG)(FL)FL(FG):FG(FG):2060 FL(FL):FG(FL)! FDFGFL:FM(FGFL)2:YD1.1FD:FMYD1000,64:/XGJG:XLJL:YCYGKG:YLKL~XDXGXL:YDYGYL:SS1:SX(1SS(SS))PX22:SY(1SS(SS))PY21:P5YCıDU0:DF0:L21NP:X(L21)(NP1)XDXL:L21ZF1X0(L22)(NP1)XDXL0X0:ZF1:L2L21ZF1X0ZF0' 200:E21690|TAKE,X1,Y1,X2,Y2,TB!0:DC0:29700:BOX,X1,Y1,X2,Y2:FRAME,X12,Y13,X22,Y23,2,3:800:WIND,2:PUT,X1,Y1,TB!0:1640H$"Polygraph menu.":XDVD:YDWD:16299,0:I045:I%(I)I1%(I):J%(I)J1%(I)::XLVL:XGVG:YLWL:YGWG:X10:Y160:WS0:23:"P rint":CO,208,25:"L imits":I02:IVB,D1,I12,216,I128::TAKE,D1,0,279,34,T5!1:DC0:29700:16300,0^25000:6100:X10:Y160:FLĭGDGD0:29600:GD0hPUT,D1,0,T5!1:HSP:A$"PLZ"(27):WFK,A$,Z:Z1DC3:29700:34000:AFT,1:1640 mZ2500:GDİ29600:GD0TOM$"":WS1:WIND,2:230,32:CSD:VLXL:VGXG:WLYL:WGYG:VDXD:WDYD:XLXL(SX2)XDPX:YGYG(SY1)YDPY:XGXLSS(SS)XD:YLYGSS(SS)YD:XDXGXL:YDYGYLpYDC0:29700:BOX,D1,0,279,34:HSP,1:CO,208,1:"Z oom out":CO,208,13WIND,6:CO:28400:WIND,1:PUT,X1,Y1,TB!1JqEI1%(45)0:ISW:23000sWIND,3:BOX,X,Y,X80,Y9:CO,X,Y1:O2$(SW)(SP$Q$,10):O2$(SW):BOX,0,72,270,93:CO,,75:I$:MM$;:CO,QM:QM$:X$(10)X$(11)1320w1340@ZOOM JH$"Zoom out.":YG):EYLNU:QNU:KLNUgiSWA4A$"Y":QYG:LE((.001(NUYL)))3(YLNU):EYGNU:QNU:KGNUnSWA5QNP:LE2:NU(NU$):NU19NU501NPNU:QNU:E0,pEįWIND,1:TAKE,X1,Y1,X2,Y2,TB!1:BOX,0,Y3,279,Y3Y4:FRAME,X12,Y33,X22,Y3Y43,2,3:80:O2$(I)::YCį,6,39,260,565Y16299,0:1395ZA$"y":SWA$"x":QXL:LE((.001(XGNU)))3(NUXG):EXLNU:QNU:JLNU_SWA1QXG:LE((.001(NUXL)))3(XLNU):EXGNU:QNU:JGNUdSWA3A$"Y":QYL:LE((.001(YGNU)))3(NU$(SW):LX$(13)Z3(X$(11)):1395@UP5A0:SW21370WBOX,X,Y,X80,Y8:CO,ZX40,ZY:XINP,3,"YESNOyesno",0,(13)(27)(10)(11),NU$,X$:NU$(NU$,1):YC(NU$"Y"NU$"y"):Q$YN$(YC)!XCSD:16300,0:I34:CO,,12IA9:SP$(I)O1$(I);:CO,1Z713503<Z6įBOX:23500:X180:WIND,3:1310`>Z3Z5SW(SW1)(SW5):YCĭSW3SW5@Z2Z4SW(SW1)(SW0)(5SW):YCĭSW4SW2D1320FCHNGE VALUEKMX4:LE$"-09":SW5MX9:LE$"Ee"LE$".-"*PZXX:ZYY:SW2İ28000:Q$O2400:E36180%SSPH%RY(YGY)PYYD1:PPOP:OP0:RY2OP1:EY2Q%RSPi%RY160OP1:EY160%PPĭOPĭOEįPAL,1,0(OX),OYRX,RY:DF1:P5įPAL,1,0206OXQX,53OYQY206RXQX,53RYQY%PPOP16180&FXOX:FYOY:LXRX:LYRY:PP1FXRX:FYRY:LXOX:LYOY&XXLĭOELM(FYLY)(FXLX):BBFYLMFX:TX(EYBB)LM:PAL,1,0TX,EY1FX,FY1:PLPP:DF1:P5įPAL,1,0206TXQX,53EYQY206FXQX,FYQY53&$:SQ6188&&RVB,LN2!1,A:A326186&(WVB,LN2!1,201:6100'*WVB,LNvBAX|, B oOOoVAAOAAvBAqBsBCCAVAAOAAvBAsaB~C>>~VAAOAAvBAs{pB?C>8<>?VAAOAAvBABHpAVAAOAAvBIsa@CsVAAMAAAvBIHA]_]_]_]_]_]_]_  ] ^lBA~A~v~B|E0BA|< <||BB|<.ZPGO"(27):WFK,A$,MO:MO12FL0:MO2200,2100,2300,2400,2600,2600,2700,2700,1600,26300,26500:12020,.X10:Y160:MO13DC0:29700:,.2500-/W0:1200:DLW:W1120202,Y2,TB!0(++W3GD0:WIND,1:11100H++PUT,X1,Y1,TB!0:KW0:31000S+.GRAPH+.OYY1:22000:FR0:2000:WIND,1:PUT,0,OY,T3!0,.WIND,1:BOX,3,1,197,158:BOX,206,53,275,107:PWL(XD):22200:XIRE:PWL(YD):22200:YIRE:DU0:P50:25000:H$"Polygra00>*+W2MM$ES$"Polygraph menu.":QM178:W129000,1300 ++W2İ700:CO,,75:"Do you want to keep these settings? ";:GCP,ZX,ZY:Z0:30100:ZįWIND,1:PUT,X1,Y1,TB!0:12000:W2:WIND,1:BOX,2,1,197,158:BOX,206,53,275,107:M$"":29900:TAKE,X1,Y1,X2:FRAME,X12,Y13,X22,Y23,2,3:WIND,3:H$CC$})f+Z$(0)Z2$:Z$(1)Z1$:Z$(2)"Graph the equation":X14:Y90:HZ44:W2W0)p+D%(0)0:(EQ$)D%(0)1:D%(1)2*z+QM196:MM$" "I$R$" "ES$"Main Menu.":16299,0:W$"123":Z2:33000:16368,0:W7111LY.PCK"42510,5^('16368,0:WIND,1:BOX,0,173,279,191:CO,,173:"Equation:":CO,,183:EQ$p(*INITIAL MENU(*+KW1:WIND,1:DC0:29700:X10:X2278:Y160:Y2160:TAKE,X1,Y1,X2,Y2,TB!A01)\+OM$"":M$"":29900:H$PN$:CSD:16300,0:A(0):BOX,0,Y1,X2,Y2!1,32"',P5įIVB,Z1,B1,Z2,B2k'.P51:DFMYY1:T$"Can't show graph under these conditions.":22100'0WIND,1WS:WSįPUT,D1,0,T1!0:PUT,D1,D4,T2!0'7M$ES$H$:29900:('WS0:WHERE,250,LN:LNLN4:16299,0:230,64:KWįCSD:16300,0:DUN,"POVAA_ZTAAvn_^DՁՀ^ ՀՀ^LAL^^^^^^^^^^^^^^^^^^^^^^^^^^`N`N`R0D0C0C0D0C0C0D0C0C0D0C0C0D0H0D0C0C0D0C0C0D0C0C0D0C0C0D0RNNN^NNN]0N0N0N0^0N0N0N0RDCCDCCDCCDCCDHDCCHDCaCDCaCDCaCDCaCDR@N@N@N@^@N@N@N@R`D`CaC`D`CaC`D`CaC`D`CaC`D`H`D`CaC`D`CaC`D`CaC`D`CaC`D`R0N0N0N0^0N0N0N0]`N`N`N`^`N O@N@N@N@^@N@N@N@]NNN^NNNR@D@CCC@D@CCC@D@CCC@D@CCC@D@H@D@CCC@D@CCC@D@CCC@D@CCC@D@GDCaCDCaCDCaCDCaCDEquation Math63OADs{pCECCD|CMJBACAQAb>fBjc6p0`OADJCp0CpDxMMyAxICp0CpCAQAb<`|f|jOATAgGGgDyM} yJBy`pyCAQAbA l|ATHEAJHCAQAbBAAQA^ Bx x@|PxB xBC3>OAQAbxL| xF|BLMDA@xBLyF|LL| CA`w`cfCDA|BqCADqBsByLLMxNA }BLMB3?>OAQAcADA|YqDFGAHc006cIDADsaB|M BA~NFFN~~DxAyMyB>0B~>B>A~CAQA`A0>B3>I_sBF?0?B?<99<9?B?CfD`sf``pD`sf``pDp`cfg`wFc6gwD`vBfwCADX|,^^^^^^^^^^^^^^^^^^^^^^^^^_|EL |B| LL BL|B|DL|B|BL BL|B| LL LL|B|DL|BA|B|E0BxB xN|E0BBLx0OA|QA|_DCCDCCDCCDR N N N ^ N N N ]NNN^NNN|NNN^NNN] N N N ^ N N N RDCCDCCDCCDCCDHDCCDCCDCCDCCDRNNN^NNN]NNN^NNNRDCCCDCCCDCCCDCCCDHDCCCDCCCDCCCDCCCDRNNN^NNNR@D@CCC@DHDCaCDCaCDCaCDCaCDR@N@N@N@^@N@N@N@R`D`CaC`D`CaC`D`CaC`D`CaC`D`H`D`CaC`D`CaC`D`CaC`D`CaC`D`R0N0N0N0^0N0N0N0]`N`N`N`^`N O@N@N@N@^@N@N@N@]NNN^NNNR@D@CCC@D@CCC@D@CCC@D@CCC@D@H@D@CCC@D@CCC@D@CCC@D@CCC@D@GDCaCDCaCDCaCDCaCDQ BE QBaBKBByBByBByBByBByBByBByBByBByBByBByBByBByBByBBBP@o@PBBBBB*mB*BBBBBUmBUBBBBB*EaEB*BBEBUBBaBBBUEEE BQ {KBaBQBTBBQ{QBBBTEEB*BBaBBB*EBBBUmBUBBBBB*mB*BBBBAUmUUBBBBqBBByBByBByBByBByBByBByBByBByBByBByBByANCCALALALALANNALALALALALALALALALALALALANDAGALA CNNLALALANNALALALALANNALALALALALALALALAEFFFFFFFFFFFFFFFFFFECజAADF`CaC`D`CaC`D`CaD`C`H`D`CaC`D`CaC`D`CaC`D`CaC`D`R0N0N0N0^0N0N0N0]`N`N`N`^`N`N`N`lNEGALA DALACEALALALA@CCC@D@CCC@D@CCD@C@H@D@CCC@D@CCC@D@CCC@D@CCC@D@GDCaCDCaCDCaCDCaDCHDCaCDCaCDCaCDCaCDR@N@N@N@^@N@N@N@R`D`CaC`D`N`N`R0D0C0C0D0C0C0D0C0C0D0C0C0D0H0D0C0C0D0C0C0D0C0C0D0C0C0D0RNNN^NNN]0N0N0N0^0N0N0N0RDCCDCCDCCDCCDHDCC^qs{CAAvDBHpEfBGFACKAAvLHZACKAAvpAC[gDyBDqBsDAgAAMgCAAvDqBsBCCEFMlLF|MB CAC^ DA0yB3cDFDqBsCAAvDsaB~C>>~C`@GLOLoFxMLx@xBAC^@B@FRyBCAAvDs{pB?C>8<>?C9D1{FyM} yCAC\sB37BxssxCBpBqspBxDsxBAAvBxBLxBB~`B~By|~~|yB~|ysy|~BAC^@B`@FD`FD`FE`BAAvEBCH`E`0`pDpD`pCAC^GBlGD@gL@@`D@gL@@`DA@gLLGDAAvDX|, BoOOoEgp363Fx@xLyCAC^GBl]C[]C[]C[]C[]C[]C[]C[]C[]C[]C[  ] B[|B|<|B|F|B|ELSZahov}-This product requires an Apple //e withan Extended 80-column card, or a laterApple // series computer.L'&'M'N'12)ɳ`L'2# 3#L&% &L # X,T,Q % "9# %&% \# %) o# % &!0!JJJА ,!0,,,($8`=x!)<<ݢ!L<iw!0)pJJJJ =莧! !!!,!0 !8`,!08` !DISK 3.5,K' ,0,V,U X,T)00"L&`L L <=@<,,nK'~ ,, "%$(!# ! i" # &L# % O' 8 XL'eM'fN'g % Ia b X,Q,T U A 8 A*دRNH,"MENU":-,201,*,202,/,203,^,204,=,208,SGN,210,INT,211,ABS,212,SQR,218,LOG,220,EXP,221,COS,222,SIN,223,TAN,224,ATN,225,SEC,2,CSC,3,COT,4,.099,.249,.499 3333>0? ?   n;3 3 3 333?33ffffcgo{sc333333333336333303? 33333333333 ccckwc33 3333 ?0 ? 0 3? 0>3>333>>00>333>3?>6>33>03333336kcc333333333>33>003>063333>333 cckw33 30n;;n    [~<~[ ? 0 33333  30??003??003<33?0 333333>0    3 33?3333333333333???>;3>333?33300000333?cwkccc#*18?FMT[bgnqruz $&B~~X~)_YNLh&x2#3211&'(`This product will DESTROY the file youhave on the / volume.Do you want to continue? 8#9X67L( Lr X ǂ$A@<@>=?BC8 î)/́f<݀$<0.m>0$<ȽB< >=?C8 éB ƅ$L&=?C8L$%$ % $I$$%% % % %+ %%% % %%<%=%%$`H% %hL& ss the Escape (Esc) Key twice whenever the computer is waiting for a response.":"You may turn the sound on or off during a program by holding down the Control Key and pressing the letter S whenever the computer is waiting for a response.":VSP:SPACyH"MECC Distribution":"3490 Lexington Avenue North":"St. Paul, Minnesota 55126":"(612) 481-3527":IN:SPACE:BOXESC ESC SCREENVSP,3:BOX:CO:"Use of Special Keys"CC$::S"You may want to quit in the middle of a program. If so, preEWSHOW DESCRIPTIONS2 SUPPORT BOOK INFO*WIND,1:BOX:VSP,8::GCP,,ZY:DFW,75,ZY,270,191ZY:WIND,7:"A manual to aid in the use of this diskette is available from MECC.":VSP4::IN,30:"Title: ";:TI$>:"Direct inquiries to:":limits of theta, the number of points to";" be plotted, and their equation. They explore the graph by changing the limits of theta or by "(34)"zooming in"(34)" on any part of the curve. The graphing screen can be printed."SPACE:CO,X1,Y1:Ce. The graphing screen can be printed."DSPACE:CO,X1,Y1:CEW,MN$(3)" is a graphing utility that will plot most forms of equations in the polar plane. The program is designed to be incroporated into classroom investigations. Students enter the orporated into classroom investigations. Students enter the limits of the x- and y- axes, the number of points";*" to be plotted, and their equation. They explore the graph by changing the scale or by "(34)"zooming in"(34)" on any part of the curvof the plotted line. Several equations can be plotted on the same graph. The graphing screen can be printed."SPACE:CO,X1,Y1:CEWsMN$(2)" is a graphing utility that will graph most equations in the x-y plane. The program is designed to be incX1,Y1vVSP,3:MN$(1)" is a set of programs that allow students to investigate linear, quadratic, and trigonometric equations. Students enter or change the value of each factor in general equations to observe changes in the ";q{"position and shape AS(5)İ200:2000' AS(6)5000<RUN THE PROGRAMaA0ANPF1$MN$(A):F2$CN$(A)CL$:HSP:VSP:CO,,89:"Getting "F1$"...":RNH,F2$END OPTIONQUITXGENERAL INFORMATIONbCL$TI$CC$:PA$""ĺPA$CC$lVE$CC$:::GCP,p <q <r Us <\Hp x ____(,ɍ$(`Ɉ ɘJ'I')_A[J'(J'Ъ Ǎ'==}<0 @@'>'?>ȱ>@ȱ>=}΃'=`$06@'''''''((((((( 8  1 8 H !HH X 08  P8  Q <`p&q&8:& X,T,Q % "( p&q& %LC&r& % $% "& %,,ɠɍ e& Fatal startup error. 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"(27),Z:Z7ı: REMOVE SPACE WHEN ESC IS INSTALLED ***************7IVB,180,11SWA9,260,19SWA9:ZA11350<Z6İ23500:WIND,A3:1330>ZA3ZA5SW(SWA1)(SWA5):YCĭSWA3SWA53@ZA2S]UD0:DU0:O2$(A2)((SP$YN$(YC)),10):Y3Y140:Y460:DFW,6X1A6,Y36,X2A8,Y3Y4A3WIND,A3:BOX:CO:H$"Polygraph Settings":H$CC$:CO,,75:ES$"menu.":R$:IA0A5:CO,,12IA9:SP$(I)O1$(I);:CO,180:O2$(I)::YCį,A0,39,260,56w216299,"Exploring Equations","EXPLORE","Polygraph","POLY","Polar","POLAR","Orange","Green","Blue","Violet"'"Apple DMP / Parallel card","Apple Imagewriter / Serial card","Printer / Grappler card"ere are no teacher options available.":SPACE,1:16300,0:CSU:16299,0:WIND,2:9020P#9100:ZZ(CHK6)(CHK4)(CHK3)(CHK5):CHZLCHZUZCH177Z#ZZ(ZZN)(Z1)(ZN1)(Z0):9100:9020#YY19Z27(Z2):IVB,X1,Y1,X1Z(Z)4,Y7:f'(FG):2060% FL(FL):FG(FL)l FDFGFL:FM(FGFL)2:YD1.1FD:FMYD100FMYD(FM):FME2YD2YLFMYD2:YGFMYD2:XX(XGXL)2:YY(YGYL)2:XXYYYGYGYYXX:YLYLYYXX:YDXD:2090XGXGXXYY:XLXLXXYY:XDYD*9 42500:SYSYSZ:SYS(SS)PYPY1SYPY1SS(SS)PY(SS2): DOWN? >b 2500:SYSYSZ:SY1SY1: UPh  2500:SXSXSZ:SX2SX2: LEFT  ` 2500:SXSXSZ:SXSS(SS)PXPX2SXPX2SS(SS)PX(SS2): RIGHT j ! 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