{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{PSTYLE "Normal " -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 256 22 "ENGI 4430 Example 2.01" } }{PARA 0 "" 0 "" {TEXT -1 30 "Curve given parametrically by " } {XPPEDIT 18 0 "x = (2*t-sin(2*t))/4" "6#/%\"xG*&,&*&\"\"#\"\"\"%\"tGF) F)-%$sinG6#*&F(F)F*F)!\"\"F)\"\"%F/" }{TEXT -1 4 " , " }{XPPEDIT 18 0 "y = cos(2*t)/4;" "6#/%\"yG*&-%$cosG6#*&\"\"#\"\"\"%\"tGF+F+\"\"%!\" \"" }{TEXT -1 3 " , " }{XPPEDIT 18 0 "z = sin(t);" "6#/%\"zG-%$sinG6#% \"tG" }{TEXT -1 2 " :" }}{PARA 0 "" 0 "" {TEXT -1 73 "Click on the plo t and drag with your mouse to change your viewing angles." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 145 "spacecurve(<(2*t - sin(2*t))/4, cos(2*t)/4, s in(t)>, t=0..4*Pi, \nshading=z, axes=normal, view=[0..2*Pi,-0.3..0.3,- 1..1], \norientation=[-135,60]);" }}{PARA 13 "" 1 "" {GLPLOT3D 335 335 335 {PLOTDATA 3 "6'-%'CURVESG6#7T7%$\"\"!F)$\"+++++D!#5F(7%$\"+rN) )[b!#7$\"+gnHy@F,$\"+ReaODF,7%$\"+P_3nU!#6$\"+@9)fH\"F,$\"+>b<2\\F,7%$ \"+1E8[8F,$\"+oW*G,)F0$\"+0b#o&pF,7%$\"+$fKE\"HF,$!+BdMc6F,$\"+FwU^&)F ,7%$\"+>jdZ]F,$!+g-A&4#F,$\"+G&yme*F,7%$\"+O2_LvF,$!+#[j[\\#F,$\"+i@'[ ***F,7%$\"+N)og+\"!\"*$!+s@U_AF,$\"+C\"z#\\(*F,7%$\"+N#p3B\"Ffn$!+b;HI 9F,$\"+pI*f'))F,7%$\"+A#**GS\"Ffn$!+:dd+CF8$\"+!)*zFS(F,7%$\"+re)3^\"F fn$\"+^$e>,\"F,$\"+D!\\`X&F,7%$\"+?'Q+c\"Ffn$\"+]S`.?F,$\"+'>#3^JF,7%$ \"+\\&32d\"Ffn$\"+L]ZzCF,$\"+y@-2kF87%$\"+z2:t:Ffn$\"+(*=H F,7%$\"+Jzt*f\"Ffn$\"+8Xse:F,$!+st$)QVF,7%$\"+F'Gmn\"Ffn$\"+([(***)RF8 $!+ORG#['F,7%$\"+Q_.<=Ffn$!+[i7M')F8$!+KDs,#)F,7%$\"+;N#y,#Ffn$!+))[h. >F,$!+7Uo%Q*F,7%$\"+G#>.E#Ffn$!+!*y*QX#F,$!+F6z`**F,7%$\"+7U6:DFfn$!+s $REP#F,$!+Ry\"=()*F,7%$\"+G\\j\\FFfn$!+PAv!o\"F,$!+Ui7W\"*F,7%$\"+zc_O HFfn$!+.N-jbF8$!+W[J=yF,7%$\"+P*)ogIFfn$\"+2&*=8rF8$!+J`5\")fF,7%$\"+$ )3F,$\"+PUo%Q*F,7%$\"+k+:mWFfn$!+$fETj)F8$\"+uDs,#)F,7%$\"+ xmb1YFfn$\"+Cr***)RF8$\"+#*RG#['F,7%$\"+vtW$o%Ffn$\"+%[C(e:F,$\"+Ru$)Q VF,7%$\"+GX.5ZFfn$\"+$)=HF,7%$\"+enZ7ZFfn$\"+Q]ZzCF,$!+W9 -2kF87%$\"+(oYJs%Ffn$\"+sS`.?F,$!+E@3^JF,7%$\"+N%*HsZFfn$\"+r$e>,\"F,$ !+))*[`X&F,7%$\"+\"3'G!)[Ffn$!+\\`d+CF8$!+I*zFS(F,7%$\"+kgJ_]Ffn$!+8;H I9F,$!+@I*f'))F,7%$\"+gk6x_Ffn$!+V@U_AF,$!+%4z#\\(*F,7%$\"+*f Ffn$!+AeMc6F,$!+VxU^&)F,7%$\"+M?P[hFfn$\"+X>)G,)F0$!+&oDo&pF,7%$\"+[W^ SiFfn$\"+,8)fH\"F,$!+ld<2\\F,7%$\"+AkjxiFfn$\"+%o'Hy@F,$!+ThaODF,7%$\" +2`=$G'FfnF*$!+xt\"fV$!#<-%'COLOURG6#%)ZSHADINGG-%*AXESSTYLEG6#%'NORMA LG-%%VIEWG6%;F($\"0ezrI&=$G'!#9;$!\"$!\"\"$\"\"$Fbbl;$FbblF)$\"\"\"F)- %+PROJECTIONG6%$!$N\"F)$\"#gF)Fhbl" 1 2 0 1 10 0 2 3 1 4 2 1.000000 60.000000 -135.000000 1 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 2 0" 73 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }