MATLAB 5.0 MAT-file, Platform: PCWIN, Created on: Fri Jul 22 20:00:21 2005 IM0 hgS_050200 7typehandlepropertieschildrenspecial@ figure0ȃ;UnitsColorColormapFileNameInvertHardcopyMenuBarNameNumberTitlePaperPositionPositionResizeResizeFcnUserDataApplicationDataDefaultaxesCreateFcn@ inchesH ???0@ ??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????p @C:\MATLAB6p5\work\HorAsympa3.fig0on8none,XLimits at infinity and horizontal asymptotes8offP ?@ @@P @?#@UUUUU5@8offPdoresize(gcbf)e;titlestudfN_itemsN_studitemsstudperminactpermautpermcurr_indexcurr_nstatusediting_statusediting_typeediting_tagediting_hint_ktrialsnext_cllbkedit_callbkstud_colorauthor_coloritemcollect,XLimits at infinity and horizontal asymptotesH HorAsymp.fig0 0P 0P 00@ author8off0q8eq320000H ffffff???0PX  NlabeltopicdifflevMLblockactivefinishablemax_trialsquestion_tagtypeanswer0@welcome@General0008yes8yes00q18narr0@notation@General0008yes8yes00q28narr0X$limits at infinity@General0000no8yes00q38narr0H 0.5^x MatLab@General0008yes8yes00q48narr0H format long@General0008yes8yes00q58narr0p:horizontal asymptotes defined@General0008yes8yes00q68narr0X&oscillating example@General0008yes8yes00q78narr0p @lim_{x to -infty} 5 + (cos x)/x)@General0008yes8yes00q88num precisionvalue8 -C6 ?00 X(graph of oscillating@General0008yes8yes00q98narr0 X$lim_x to infty x^2@General0000no8yes08q108narr0 `0infinite limits at infty@General0008yes8yes08q118narr0 P important limits@General0008yes8yes08q128narr0 X$rational functions@General0000no8yes08q138narr00@General000no0no08q140-Zlim_{x to -\infty} (x^3-6x+4)/(4x^3+1.4x^2-x)@General0008yes8yes08q158text8yes0.\#lim_{x to -\infty} (x^3-6x+4)/(4x^3+1.4x^2-x)@General0008yes8yes08q168num precisionvalue8 -C6 ?8 ?0&Lexplain lim (x^3-6x+4)/(4x^3+1.4x^2-x)@General0008yes8yes08q178narr0+Vlim_{x to \infty} (7x^2+9x-16)/(x^3+3.4x+2)@General0008yes8yes08q188text8yes0,X#lim_{x to \infty} (7x^2+9x-16)/(x^3+3.4x+2)@General0008yes8yes08q198num precisionvalue8 -C6 ?00%Jexplain lim (7x^2+9x-16)/(x^3+3.4x+2)@General0008yes8yes08q208narr0'Nlim_{x to \infty} (3x^2-1.6x+2)/(7x+17)@General0008yes8yes08q218text0no0x!Bexplain lim (3x^2-1.6x+2)/(7x+17)@General0008yes8yes08q228narr0p @lim (-3x^4+7x^2-5)/(x^4+4x^3-2x)@General0008yes8yes08q238text8yes0x!B#lim (-3x^4+7x^2-5)/(x^4+4x^3-2x)@General0008yes8yes08q248num precisionvalue8 -C6 ?00(Pexplain lim (-3x^4+7x^2-5)/(x^4+4x^3-2x)@General0000no8yes08q258narr02dlim_{x to -\infty} (-5x^5+9x^2-4.7)/(x^3+7x^2+11)@General0008yes8yes08q268text0no0*Texplain lim (-5x^5+9x^2-4.7)/(x^3+7x^2+11)@General0008yes8yes08q278narr0@congrats@General0008yes8yes08q288narr0X$limits at infinity@General0008yes8yes08q298narr0X$rational functions@General0008yes8yes08q308narr0(Pexplain lim (-3x^4+7x^2-5)/(x^4+4x^3-2x)@General0008yes8yes08q318narr0 `,lim_x to infty sqrt(x)@General0008yes8yes08q328narr0  accessed000000000000000000000000000"ScribeCurrentToolButtonScribeAddAnnotationStateDataScribeWindowMaskSettingsScribeSaveToolPropsScribeSaveToolHandlesScribeSaveMenuPropsScribeSaveMenuHandlesScribePlotEditStateScribeHGCurrentObjectScribeCurrentObject0 7xymylineisarrowoldPointer0000@ arrow0(0H  Tuimenufcn(gcbf,'EditSelectAll') Teditmenufcn(gcbf,'EditUndo') Teditmenufcn(gcbf,'EditPost') Tuimenufcn(gcbf,'EditCut') Tuimenufcn(gcbf,'EditCopy') Tuimenufcn(gcbf,'EditPaste') Tuimenufcn(gcbf,'EditClear') Tfilemenufcn(gcbf,'FileSave') Tfilemenufcn(gcbf,'FileSaveAs') X(figMenuEditSelectAllPfigMenuEditUndoH figMenuEditPfigMenuEditCutPfigMenuEditCopyP figMenuEditPasteP figMenuEditClearPfigMenuFileSaveX"figMenuFileSaveAs0on8off0on8off8off8off8off0on0onx  H85@80@p.@81@82@83@84@@ @8off8 z@ scribehandle  HGHandle8 z@x!Bplotedit(gcbf,'promoteoverlay'); P~| 7typehandlepropertieschildrenspecial@ uimenu8 Y@PCallbackLabelTagApplicationDataVisible`*maketutor([], 'nq_m')@NewItem8nq_m88off! 7typehandlepropertieschildrenspecial@ uimenu8 @Y@@CallbackLabelTagApplicationData`0maketutor([], 'narrq_m')H Narrative@narrq_m8@ uimenu8 Y@@CallbackLabelTagApplicationData`.maketutor([], 'numq_m')H Numerical@ numq_m8@ uimenu8 Y@@CallbackLabelTagApplicationData`0maketutor([], 'formq_m')@Formula@formq_m8@ uimenu8 Z@@CallbackLabelTagApplicationData`0maketutor([], 'textq_m')8Text@textq_m8@ uimenu8 @Z@@0LabelTagApplicationDataH MultiChoice@multq_m8( 7typehandlepropertieschildrenspecial@ uimenu8 Z@@0LabelTagApplicationDataH One right@oneans_m8 7typehandlepropertieschildrenspecial@ uimenu8 Z@@CallbackLabelTagApplicationDatah4maketutor([], 'oneans4_m')H 4 choicesH oneans4_m8@ uimenu8 [@@CallbackLabelTagApplicationDatah4maketutor([], 'oneans6_m')H 6 choicesH oneans6_m8@ uimenu8 @[@PCallbackEnableLabelTagApplicationDatah4maketutor([], 'oneans8_m')8offH 8 choicesH 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version@ns_ver_m8@ uimenu8  ``@@CallbackLabelTagApplicationDatah4maketutor([], 'title_GUI')H ChangeTitle@title_m8@ uimenu8  `@PCallbackLabelTagApplicationDataVisible`*maketutor([], 'next')8NextH nextprompt88off@ uimenu8  `@@EnableLabelTagApplicationData8offPRevisitQuestion@ back_m8@ uimenu8  `@@EnableLabelTagApplicationData8offH ChangeLevel@level_m8@ uimenu8  `@@EnableLabelTagApplicationData8offH ChangeTopic@topic_m8@ uimenu8  a@PCallbackLabelTagApplicationDataVisible`*maketutor([], 'exit')8Exit@ exit_m88off8axes8  a@VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8auto0 ????????????P Q?{Gz?= ףp=?q= ףp?000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); @NumWrong88offp 7typehandlepropertieschildrenspecial8text8  @a@xUnitsColorFontSizeFontWeightHorizontalAlignmentPositionStringApplicationDataVisibleH normalized008bold@ centerH ??h8Sorry, your answer 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manual0x!Bplotedit(gcbf,'promoteoverlay'); @M+Wrong88offx 7typehandlepropertieschildrenspecial8text8  b@UnitsColorFontSizeFontWeightHorizontalAlignmentPositionStringApplicationDataVisibleH normalized008bold@ centerH ??p<Sorry, some answers are wrong.88off8text8  @b@hUnitsColorFontSizeFontWeightHorizontalAlignmentPositionStringApplicationDataVisibleH normalized008bold@ centerH ??X"Please try again.88off8text8  `b@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH x=?㑿Gh@9?8cap8off88off8text8  b@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH @Rgݣ^?Gh@9?0Z@ bottom8off88off8text8  b@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH C|S?Gh@9?8off88off8text8  b@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?V&L,?Gh@9?@ bottom8off88off08axes8  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square root of x,x#Fsin(x) for sin x, cos(x) for cos x,x#Ftan(x) for tan x, cot(x) for cot x,x#Fsec(x) for sec x, csc(x) for csc x,+Vasin(x) for arcsin x, acos(x) for arccos x,+Vatan(x) for arctan x, acot(x) for arccot x,+Vasec(x) for arcsec x, acsc(x) for arccsc x.01bExponentiation is the highest priority operation,%Jnext are multiplication and division,.\addition and subtraction have lowest priority.*TOperations of equal priority are performedX&from left to right.x$HE.g., 12/4*3 = 9 and 4+8/4*3^2 = 22.3fUse brackets to override priorities or if in doubt.5jE.g., 12/(4*3) = 12/4/3 = 1 and (4+8)/(4*3)^2 = 1/12.8none88off8text8  d@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH x=?㑿Gh@9?8cap8off88off8text8  d@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH @Rgݣ^?Gh@9?0Z@ bottom8off88off8text8  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manual0x!Bplotedit(gcbf,'promoteoverlay'); @MCGiveup88off@8 7typehandlepropertieschildrenspecial8text8  `f@xUnitsColorFontSizeFontWeightHorizontalAlignmentPositionStringApplicationDataVisibleH normalized008bold@ centerH ??h8Sorry, your answer is wrong.88off8text8  f@xUnitsColorFontSizeFontWeightHorizontalAlignmentPositionStringApplicationDataVisibleH normalized008bold@ centerH ?Gz?h2The correct answers were:88off8text8  f@UnitsColorFontSizeFontWeightHorizontalAlignmentPositionStringTagApplicationDataVisibleH normalized008bold@ centerH ?(\?0H MCGiveup_188off8text8  f@UnitsColorFontSizeFontWeightHorizontalAlignmentPositionStringTagApplicationDataVisibleH normalized008bold@ centerH ?ףp= ?0H MCGiveup_288off8text8  f@UnitsColorFontSizeFontWeightHorizontalAlignmentPositionStringTagApplicationDataVisibleH normalized008bold@ centerH ?Q?0H MCGiveup_388off8text8  g@UnitsColorFontSizeFontWeightHorizontalAlignmentPositionStringTagApplicationDataVisibleH normalized008bold@ centerH ??0H 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@j@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8  `j@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8  j@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off@ uimenu8  j@DHandleVisibilityTagApplicationDataVisible8offX&ScribeFigObjStorage88off@ uimenu8  j@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8  j@ VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 0q2ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8  k@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8  k@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8  @k@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8  `k@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8  k@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8  k@ VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 0q3ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8  k@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8  k@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8  l@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8  l@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8  @l@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8  `l@ VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 0q4ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8  l@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8  l@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8  l@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8  l@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8  m@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8  m@ VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 0q5ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8  @m@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8  `m@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8  m@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8  m@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8  m@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8  m@ VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 0q6ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8  n@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8  n@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8  @n@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8  `n@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8  n@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8  n@ VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 0q7ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8  n@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8  n@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8  o@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8  o@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8  @o@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88offH uicontrol8  `o@UnitsListboxTopPositionStringStyleTagApplicationDataVisibleH normalized0P Q?)\(?ffffff?{Gz?p<Please enter your answer here:8text@NumUI_t88offH uicontrol8  o@UnitsBackgroundColorListboxTopPositionStyleTagApplicationDataVisibleH normalizedH ffffff???0P Q?{Gz?ffffff?Q?8edit@NumUI_e88offH uicontrol8  o@`UnitsCallbackEnableListboxTopPositionStringTagApplicationDataVisibleH normalized`0maketutor([], 'NumUI_p')8off0P Q?{Gz??Q?@ Submit@NumUI_p88off8axes8  o@@VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz???000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 0q8ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8  o@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH r?@%펔Gh@9?8cap8off88off8text8 p@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ^Tâ\L?Gh@9?0Z@ bottom8off88off8text8 p@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH *cXB̯\L?Gh@9?8off88off8text8  p@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?tv2?Gh@9?@ bottom8off88off08axes8 0p@VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz?= ףp=?q= ףp?000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); H NumHTemplate88off` 7typehandlepropertieschildrenspecial8text8 @p@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH x=?㑿Gh@9?8cap8off88off8text8 Pp@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH @Rgݣ^?Gh@9?0Z@ bottom8off88off8text8 `p@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH C|S?Gh@9?8off88off8text8 pp@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?V&L,?Gh@9?@ bottom8off88off0@ uimenu8 p@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 p@ VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 0q9ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 p@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8 p@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8 p@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8 p@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8 p@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 p@(VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q10ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 q@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8 q@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8  q@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8 0q@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8 @q@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 Pq@(VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q11ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 `q@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8 pq@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8 q@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8 q@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8 q@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 q@(VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q12ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 q@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8 q@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8 q@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8 q@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8 r@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 r@(VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q13ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8  r@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8 0r@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8 @r@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8 Pr@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8 `r@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 pr@HVBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz???000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q15ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 r@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH r?@%펔Gh@9?8cap8off88off8text8 r@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ^Tâ\L?Gh@9?0Z@ bottom8off88off8text8 r@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH *cXB̯\L?Gh@9?8off88off8text8 r@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?tv2?Gh@9?@ bottom8off88off08axes8 r@VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz?= ףp=?q= ףp?000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); H NumHTemplate88off` 7typehandlepropertieschildrenspecial8text8 r@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH x=?㑿Gh@9?8cap8off88off8text8 r@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH @Rgݣ^?Gh@9?0Z@ bottom8off88off8text8 r@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH C|S?Gh@9?8off88off8text8 s@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?V&L,?Gh@9?@ bottom8off88off0@ uimenu8 s@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8  s@HVBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz???000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q16ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 0s@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH r?@%펔Gh@9?8cap8off88off8text8 @s@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ^Tâ\L?Gh@9?0Z@ bottom8off88off8text8 Ps@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH *cXB̯\L?Gh@9?8off88off8text8 `s@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?tv2?Gh@9?@ bottom8off88off08axes8 ps@VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz?= ףp=?q= ףp?000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); H NumHTemplate88off` 7typehandlepropertieschildrenspecial8text8 s@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH x=?㑿Gh@9?8cap8off88off8text8 s@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH @Rgݣ^?Gh@9?0Z@ bottom8off88off8text8 s@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH C|S?Gh@9?8off88off8text8 s@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?V&L,?Gh@9?@ bottom8off88off0@ uimenu8 s@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 s@(VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q17ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 s@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8 s@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8 t@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8 t@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8  t@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 0t@HVBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz???000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q18ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 @t@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH r?@%펔Gh@9?8cap8off88off8text8 Pt@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ^Tâ\L?Gh@9?0Z@ bottom8off88off8text8 `t@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH *cXB̯\L?Gh@9?8off88off8text8 pt@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?tv2?Gh@9?@ bottom8off88off08axes8 t@VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz?= ףp=?q= ףp?000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); H NumHTemplate88off` 7typehandlepropertieschildrenspecial8text8 t@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH x=?㑿Gh@9?8cap8off88off8text8 t@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH @Rgݣ^?Gh@9?0Z@ bottom8off88off8text8 t@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH C|S?Gh@9?8off88off8text8 t@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?V&L,?Gh@9?@ bottom8off88off0@ uimenu8 t@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 t@HVBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz???000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q19ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 t@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH r?@%펔Gh@9?8cap8off88off8text8 u@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ^Tâ\L?Gh@9?0Z@ bottom8off88off8text8 u@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH *cXB̯\L?Gh@9?8off88off8text8  u@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?tv2?Gh@9?@ bottom8off88off08axes8 0u@VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz?= ףp=?q= ףp?000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); H NumHTemplate88off` 7typehandlepropertieschildrenspecial8text8 @u@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH x=?㑿Gh@9?8cap8off88off8text8 Pu@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH @Rgݣ^?Gh@9?0Z@ bottom8off88off8text8 `u@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH C|S?Gh@9?8off88off8text8 pu@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?V&L,?Gh@9?@ bottom8off88off0@ uimenu8 u@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 u@(VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q20ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 u@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8 u@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8 u@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8 u@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8 u@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 u@HVBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz???000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q21ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 v@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH r?@%펔Gh@9?8cap8off88off8text8 v@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ^Tâ\L?Gh@9?0Z@ bottom8off88off8text8  v@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH *cXB̯\L?Gh@9?8off88off8text8 0v@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?tv2?Gh@9?@ bottom8off88off08axes8 @v@VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz?= ףp=?q= ףp?000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); H NumHTemplate88off` 7typehandlepropertieschildrenspecial8text8 Pv@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH x=?㑿Gh@9?8cap8off88off8text8 `v@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH @Rgݣ^?Gh@9?0Z@ bottom8off88off8text8 pv@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH C|S?Gh@9?8off88off8text8 v@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?V&L,?Gh@9?@ bottom8off88off0@ uimenu8 v@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 v@(VBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????0000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q22ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 v@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH c?@H-wGh@9?8cap8off88off8text8 v@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH '}4G?Gh@9?0Z@ bottom8off88off8text8 v@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH j:A.?Gh@9?8off88off8text8 v@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?kk&(?Gh@9?@ bottom8off88off0@ uimenu8 v@DHandleVisibilityTagApplicationDataVisible8offX"ScribeHGBinObject88off8axes8 w@HVBoxCameraPositionCameraPositionModeColorColorOrderPositionTickLengthXColorXTickLabelXTickLabelModeYColorYTickLabelYTickLabelModeZColorCreateFcnTagApplicationDataVisible0onH ??/7 R"@8autoH ffffff??? ????????????P Q?{Gz???000@ manual00@ manual0x!Bplotedit(gcbf,'promoteoverlay'); 8q23ScribeSaveFcns08off` 7typehandlepropertieschildrenspecial8text8 w@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH r?@%펔Gh@9?8cap8off88off8text8  w@8ColorFontSizeHorizontalAlignmentPositionRotationVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ^Tâ\L?Gh@9?0Z@ bottom8off88off8text8 0w@ColorFontSizeHorizontalAlignmentPositionHandleVisibilityApplicationDataVisible00@ rightH *cXB̯\L?Gh@9?8off88off8text8 @w@ColorFontSizeHorizontalAlignmentPositionVerticalAlignmentHandleVisibilityApplicationDataVisible00@ centerH ?tv2?Gh@9?@ bottom8off88off08axes8 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" 0q1(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 {@pColorFontSizePositionStringTagApplicationDataVisible00H fgy?Pz+?kF oo fr xt e wc ih ln li c ba el wr re ia ts to en ns , a si n x ^t {h 0i .s 5 }t .u t o r i a l f r a c t i o n s w i l l b e w r i t t e n i n t h e f o r m f ( x ) / g ( x ) a n d t h e s q u a r e r o o t 0q2(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 {@pColorFontSizePositionStringTagApplicationDataVisible00H yC?QNJ? k S c l L m L mo l a e e e e o r t a t af s g n na e e f s f sr r r , b t b t a o e h e hw n r a ae d a t a t m h c o f t f ta l r u h u hv o e n e n ee s c c e a t v t vd r n i a i ai d o l o ls t n u n uc o m e eu o d s d ss a r e e s e f o f oe f i f i fd i n n n x e e f e fl e g d ( d (i d a x xm t o ) o )i n i n n t u v c cs m e s a s a b . o n o no e m m f r e b e b T e ef a h i i u . e n m n mn s t a t ac e e d e dt B r e r ei u q v v o t u a a a an e l r l rs o s b b n t ( i ( io e i a t - tn o , r rl c n a \ ay a s \ r i r n i i n ii l n l f ln a e f y t y l a t y t s d y c , ch o ) l le t . o a o a o s ) sc s e . eo k t T n h h t tt w e e o T oe h n h x a d L e Lt t e l n f i b bo h i m y l yf a n _ i p i { t m tw p t x a _ ah e i k { ka n o \ i x it s n r n n i g \ gh t o g r a o f h x i xp t g p f L a s h se ( I r u t un x M r f a fs ) I o f r f T w i r it w S c o co h \ i w i e A i e ef n T n n \ n( f t i tx x I t l n l) N y y f y g F } t w e I l y lh t N f a } ae s I ( r rn T x g f g l Y ) e ( ex a . . x r = ) ng g ee e L = gt r as L t a i n v d e . 0q3(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 {@8 pColorFontSizePositionStringTagApplicationDataVisible00H u?$4' ?h  m8 B " > N >>> r C > o >>> i o w n m f fff g m l ((( a = e 112 u n t )00 p d i )) n u M W l s a i i t n n c L d e a a o ( l b w ' c " 0 u b . l y w 5 a i ^ t c t x e l h i + f c a ( k 1 x i p ' ) n r ) g o f m o o p r n t x t > ( ' h > D s e . O N t i ' h c L T a o e t n t f o g o u r e n s g t e t d t l h e a e f t r i h g l n e e o e r w s e t i a r h n n e g d b l a f e l r u a n q r o c u g f t o e i t r y o a : o n t u i r f o ( n s x c ) m r a e = r e k n 0 s . . ! 5 ) ^ Y x o u + s 1 h o u i l n d M s a e t e L a a b b y e n t e r i n g t h e r e : 0q4(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 {@ pColorFontSizePositionStringTagApplicationDataVisible00H ~&!?(cEK?  g I t >>>> T Wt h >>>> h e a e a t ffff fp o((( f ip M r234 u ne a m000 n da t a))) c r L t t ts a i h b l o at o n th b n a y g v lt a i d l mt e u _h f e {e a s x u f l g \u t e rn t ic d gt i c hi s l to p o an l s r a e rv y r oa s wl a u o n \e n d i l no y c ff l t f o yf o s }( u e x r r 0) . d t 5= i o ^ g x0 i 1 . t , +5 s ^ w 1x a i f t =+ t h e o 11 r u . t a t t h a e c 2 t 0 d u e a h c l a i l s m y a r l r e e a p a c o c h i h e n i d t n . g 1 , 1 T . b o u t s e t e h i m s o r i e s d d i u g e i t t s o , t e h n e t e f r a c t 0q5(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 {@ pColorFontSizePositionStringTagApplicationDataVisible00H ȯ%,?愡W?  a T l I G t n >h i n r h e >e m a e g _ o p a fl { u h g t ii x r i r i gn c a v ue \ e a p e r r x l h ey i a l n ; g m y o u = h p , f m f t l b pL a e a y e l r , r oi r h = . ts o t o ( w h r f fc e i ( T ,a \ z x o l i l o ) [l n i n s 0e f n t m e ,d t e a o e 1 y l r 0a } y e a , a 0H f = s a g ,O ( y n r 2R x 1 m d a ]I ) p p )Z i t m h ;O = s o o i N t r c hT L a e e oA p lL h f c i d o o l c A o r r o t oS r i s u nY z a e r ;M o l e P n c y fT l t u o pO i a r a f lT m l v s oE _ e t t { a x h (o x s y i 'f y b s 1 \ m = e 't r p c b ,h i t f o e e g o ( m h [ h t x e a 0c t e ) s v ,u a i 1r r o i l o 0v r f s a u ]e o r r ) w t a g , ;y h e - e h r b = o r \ c r a i f i u i n n ( n r z d g x f v o ) t e n l b y t a a i } f a r c f ( l g k f x e e ( ) l r M i x i a t ) = n o t h e r L e = 0 a r . w a b L 5 h . ^ i l a x c a n h r d + g r e e 1 e r n . s t e a e m n r b d : l e l s a r g e r 0q6(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 |@pColorFontSizePositionStringTagApplicationDataVisible00H >烚N?J\d?hI w C D > a >>>>> n a o e > n >>>>> n n f d t d s i f fffff h e i n c ((((( e r d e = a ----- e e l 11111 p d r t i c )0000 r h n u )000 e o t i l l )00 v f h s i a )0 i f e n t ) o f e e u t e u ( : s o x n ' a c 5 e \ m t x i p i + a n l o m f e n c p t o l y o i s e . f n ( , x t M ) t I h a / h t e t x e L ' i f a ) g s u b r n a p c b p o t y h s i s o e o i n n f b t l f e t e ( r h x i e t ) n h g f a = : u t n 5 c t t h + i e o ( n g c r o w a s a p s h x ) s o / t f x a . y t i h n e g f a u b n o c v t e i o t n h e c r a o s s y s m e p s t o t t h e e a a l s l y m t p h t e o t t e i m m e a n a y s t x i m e s . 0q7(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 |@HpColorFontSizePositionStringTagApplicationDataVisible00H  >? M?x6DW ah pa pt e ad ro e ts o l bi em ?_ { x \ r i g h t a r r o w - \ i n f t y } 5 + ( c o s x ) / x 0q8(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8  |@ pColorFontSizePositionStringTagApplicationDataVisible00H H|W?• ?  g I b t > T >n u h > o > t e y f s fo s l i e iu o i g e gr m n u u e e r m rc e o ea f y ; r ;l u e c n = f fu c p o pl t 5 l f la i o ot o i t t ti n s ( h (o f e fn v a , ,s a g , l h [ r [ u o - a -y e r 1 p 3o s i 0 h 0u z 0 0 w o , a ,s e n s a r t - -w e a 1 x 1 l ] ]t a ) g )h b a ; e ;a o s t t v y h s h e m o ot p l e lh 5 t d v de , o e t o n of w e n nu h ; m ;n i o o c l f f r ft e p e pi t l lo o h o n on t e t e t h ( g (v e f ' a 'a r u 5 t 5l n ' i 'u f c , v ,e u t e s n i [ , [ c o - -g t n 1 e 3o i 0 n 0t o f 0 t 0 n ( , e ,c x - r -l v ) 1 : 1o a ] ]s l = ) )e u ; ;r e 5 s t + o w e ( 5 r c e o a s s b e x x l ) o / g w x o . t 5 . m T o o r N e e s v e a e e n r d t t h h m e i o l s r e , e s s e n , n e t g e a r t : i v e , 0q9(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 0|@pColorFontSizePositionStringTagApplicationDataVisible00H ZB8I?BR!?(  l N > a >>>> To > n >>>> ht d e f ffff a c (((( rl = a 1111 el l 0000 s i c )000 uf n u )00 lu l l )0 tn i a ) sc n t t e e gi ( : eo ' tn s s q l r ah t ra ( gv x ee ) r ' h ) ao nr di z lo an rt ga el r a as sy m xp t io nt ce rs e. a s eD se ,f i an ne d t wh ie l ls q eu va er ne t ar uo lo lt y f su un rc pt ai so sn af n( yx ) f i= x ex d ^ n{ u0 m. b5 e} r .i n M a t L a b b y : 8q10(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 @|@pColorFontSizePositionStringTagApplicationDataVisible00H /)?b%?8l a T a T a T a T r h r h r h r h b e b e b e b e i i i i t n t n t n t n r o r o r o r o a t a t a t a t r a r a r a r a i t i t i t i t l i l i l i l i y o y o y o y o n n n n l l l l a l a l a l a l r i r i r i r i g m g m g m g m e _ e _ e _ e _ { { { { a x n x a x n x s e s e \ g \ \ g \ x r a r x r a r i t i i t i b g i g b g i g e h v h e h v h c t e t c t e t o a a o a a m r a r m r a r e r s r e r s r s o o s o o w x w w x w l l a \ b - a - b \ r i e r e i g n c \ g \ c n e f o i e i o f . t m n n m t y e f n f e y } s t e t s } y g y f l } a } l f ( a t a ( x r f i f r x ) g ( v ( g ) e x e x e = . ) . ) = n - = = e \ g i \ \ - a n i i t f n n \ i t f f i v y t t n e y y f . i t s i i y s s u i s u u s e s s d e e u d d s t e o t t d o o i t n i i o d n n i d d i c i i n a c c d t a a i e t t c e e a t t h t t e a h h t a a t t t h t a h t t t e h h e e t v h a v v e l a a u l l v e u u a s e e l s s u o e f o o s f f f o ( f f f x ( ( ) x x f ) ) ( b x e b b ) c e e o c c b m o o e e m m c e e o m e 8q11(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 P|@( pColorFontSizePositionStringTagApplicationDataVisible00H ?G?P Q T l l I I I I I h i i f f f f f e m m _ _ r r n n n f { { o x x > > i i i l s s s l \ \ 0 0 o r r , , a a a w i i i g g t t p p p n h h h h o o o g t t e e s s s a a n n i i i f r r t t t a r r l l i i i c o o i i v v v t w w m m e e e s _ _ \ - { { e o i a i x x v d n r n \ e d t e f i \ \ n e t n r r i g w y f i i i n e o } t g g n t r r y h h t e , t e } t t e g h ^ a a g e t x e r r e r h m ^ r r r , e e = x o o , n m w w t o \ = t h l r i \ \ h e i i n 0 i i e n m z f . n n n _ i t f f l { n y t t l i x g . y y i m : } } m _ \ _ { r x 1 { x i ^ / x g r x \ h ^ \ r t = r r i a i g r \ = g h r i h t o n 0 t a w f . a r t r r - y r o . o w \ w i - n - f \ t \ i y i n } n f f t 1 t y / y } x } ^ x n x ^ ^ n = n = 0 = . - \ i \ n i f n t f y t . y . 8q12(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 `|@@pColorFontSizePositionStringTagApplicationDataVisible00 H Ԃvy?ؚe1 ?h4T f T I l N l S l S l T g h u h n i o i i i i i h e e n e m w m n m n m u t c o _ _ c _ c _ s s l t t u { w { e { e { a i r r x e x x x t a s o i l l h r t n c c \ c \ i \ i \ e b . k a r a r m r m r i f s i n i _ i _ i n r i i e g g { g { g u a v F s , h c h x h x h m r e o t a t t t e i r t t a n a \ a \ a r l o o h r c r r r r r a y f e i r e r i r i r t x f s o l o g o g o o l t a a w w h w h w r a h m c h o t t r e p t i \ u \ a \ a \ o g l o g i t i r i r i f e a e r h n n r n r n b , e f x f o f o f t a o o s t ^ t w t w t h s v l u t y 2 y y y e e e r } , } \ } \ } x t p i i f f t o ( w ( n 3 n x r g a u h w 3 h 3 f f a e c s e e x i x t - t + c t t r ^ c ^ y y t s s t h 2 h 2 } 1 } 5 i r i w / o l a y g i - g - 1 x x - n a l h l i / r l t e l x v x x + + 3 ( g o o s e / 3 e w t b + s + = 7 5 x r f e : / ^ - . u i p 7 7 0 x = 2 s n o x ) ) ^ 1 d w ^ / / a 2 \ = / W t e 2 ( ( n i x e o l r . x x d = n \ i ^ ^ f i + c c m o 3 3 l 3 t n a a _ f W i . y f 7 n l { e + + m t / c x x _ a y x c u g 5 5 { n . ^ o l \ t e x x x d 2 n a r h t ^ ^ ) c t i a : 2 2 \ l / l e g t r i ( u h - - i m x d l t o g _ e i a c 3 3 h { + m r c ) ) t x t i r u a 5 h t o r = = r \ a s w s r r - t l l o i a \ b i i w g 3 l t i o m m h / i n t _ _ \ t x m \ f h { { i a ^ _ i t x x n r 2 { n y i f r ) x f } n \ \ t o t r r y w a \ y ( t i i } p r 3 h g g \ p i a x e h h 7 i r g n ^ t t / n o h d 2 n a a x f a t u r r ^ t c a - - m r r 2 y h r e o o } e r \ x r w w = s o i a 3 w n + t \ \ 0 / 3 f o i i , x \ t 7 r n n ^ w i y ) f f w 2 h n / a t t e i f f ( n y y = l t o x d } } c e y r ^ o 0 } 3 i x ( n , t a n ^ 3 c h ( n + 2 l w e 3 y t ( - u e 5 h 3 d d - r x e 1 e c e a ^ - / o n 1 t 2 d x t n o / i e 1 h c m x o - n / + a l i n o x t u n + a 3 m 7 d a l ) i + / e t 7 . n x o / a 7 ^ t r x t / 2 h ^ o x ) a 2 r ^ / t ) . 2 ( / ) x ( / x x + ^ + 2 5 ( 5 x - - + 3 / 3 5 x / ^ x - 2 ^ ) 2 3 . ) / x = ^ 2 0 ) . . 8q13(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 p|@pColorFontSizePositionStringTagApplicationDataVisible00H T9&? C??vD l eo i xe m is _ s { t x ? \ r i g h t a r r o w - \ i n f t y } ( x ^ 3 - 6 x + 4 ) / ( 4 x ^ 3 + 1 . 4 x ^ 2 - x ) 8q15(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 |@pColorFontSizePositionStringTagApplicationDataVisible00H PEȺ?W?AW lh ia mt _ {i xs \t rh ie g hv ta al ru re o wo f - \ i n f t y } ( x ^ 3 - 6 x + 4 ) / ( 4 x ^ 3 + 1 . 4 x ^ 2 - x ) ? 8q16(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 |@pColorFontSizePositionStringTagApplicationDataVisible00H ȡ?(=p? F T = U l T Ti h s i h hr u l i m e es s i n _ rt m g { o e l _ x n fw i { t l oe m x h \ y r _ e r ef { \ i n ,a x r f g o c i a h n lt \ g c t z io r h t a e mr i t r r _ g a t r o {o h r h o xu t r a w t t a o t e \ r w - r ra r l m in o - i \ g w \ m i l hx i _ n e t^ - n { f f a3 f x t t r \ t y rf i y \ } i or n } r n wo f i 6 m t ( g / t - y 1 h x h t } t ^ e \h - a 2 ie ( r n n x 6 r = u fn ^ / o m tu 3 x w 0 e ym ^ , r }e - 2 - a r l t (a 6 + \ i o xt x i m r ^o 4 n _ 3r + / f { i x t x s -a 4 ^ y n ) 3 } \ 1 6d / ) r x ( / 1 i a d 4 ( / g n +e x 4 x h d n ^ ^ t 4o 3 + n a t )m r h /i + 1 = r e (n . o 4a 1 4 0 w o xt . / n ^o 4 x - l 3r x f y ^ - o \ +a 2 r i n n 1 n o 1d - / n f n . x t z 4c x ^ > y e xa ) 2 } r ^n ) 0 o 2c = . 4 e / t -l l w x e i e ^ r xt m 3 m )h _ k e { n = l =m x o e w 0 f 1o \ , t /u r t 4t i h l i .. g a i n h t m t _ t a { h r x e r o \ d w r e i n - g o h m \ t i i a n n r a f r t t o o y w r } i x - s ^ \ 3 i 4 ( n . 1 f t - y } 6 / 1 x . ^ 4 2 / x + = 4 / 0 x , ^ 3 a ) n / d x ^ l 3 i ( m 4 _ { + x 1 \ . r 4 i / g x h t - a r 1 r / o x w ^ 2 - ) \ i n f t y } 1 / x ^ 2 = 0 . 8q17(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 |@`pColorFontSizePositionStringTagApplicationDataVisible00H Xݍ?hɻ?<XD l eo i xe m is _ s { t x ? \ r i g h t a r r o w \ i n f t y } ( 7 x ^ 2 + 9 x - 1 6 ) / ( x ^ 3 + 3 . 4 x + 2 ) 8q18(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 |@pColorFontSizePositionStringTagApplicationDataVisible00H \?C顯@?>tW lh ia mt _ {i xs \t rh ie g hv ta al ru re o wo f \ i n f t y } ( 7 x ^ 2 + 9 x - 1 6 ) / ( x ^ 3 + 3 . 4 x + 2 ) ? 8q19(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 |@H pColorFontSizePositionStringTagApplicationDataVisible00H nܔ?#y?p  < T l T 7 S h i h o e m e a _ s w h { n e i x u x g m c h \ e g a e r r o n s i a e t g t s c h o o p t r t n o a o c w r o l e r f i u r o n d w ( f e i 7 i n \ n t i + i h t n t a h f 9 y t e t / y x a l n } n i u - d m m ( _ e 7 1 t { r x 6 h x a ^ / e t 2 x \ o ^ d r r + 2 e i ) n g a 9 / o h n x ( m t d x i a - n r d + a r e 1 t o n 6 3 o w o ) . r m / 4 \ i ( / b i n x x e n a ^ c f t 3 + o t o m y r + 2 e } / s i 3 x ( s . ^ a 7 4 2 r x x x ) b ^ ^ i 2 2 + a t , p r + 2 p a s ) r r 9 o o i x = a l w c y - e l h i e l 1 f m s a 6 a _ r ) c { g / t x e ( o x r \ b ^ r e 3 t i c h g a + a h u t t s 3 a e . o r 4 u r o x t o f w + a t n \ h 2 d i e ) n c f " = a t x n y " 0 c } . e t l ( e 7 r t m o + . o 9 b / t x a i - n 1 6 / x ^ 2 ) / ( x + 3 . 4 / x + 2 / x ^ 2 ) . 8q20(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 |@(pColorFontSizePositionStringTagApplicationDataVisible00H  7??P6D l eo i xe m is _ s { t x ? \ r i g h t a r r o w \ i n f t y } ( 3 x ^ 2 - 1 . 6 x + 2 ) / ( 7 x + 1 7 ) 8q21(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 |@ pColorFontSizePositionStringTagApplicationDataVisible00H Ԃvy?c%?  } F T A T T Si h s h h ir i e e ns s w r ct e d e e g e f w i p n o \e v i o r i e c m e nf s k i , fa n tc l l a l yt i a t i o m r o m ir _ g r _ s { e { o x r h x nu o ot \ a w \ t r n e r x i d v i a g e g f h l r h nr t a , t uo a r a mm r g h r b r e a r et o r s o rh w w ,e v a \ a \ tn i l l i hu n u i n em f e m f e t s i t lr y t y ia } f } mt o o io ( r f ( tr 3 3 x x 7 x da ^ ^ on 2 w a 2 ed e s s - - d s x ne 1 e 1 on . e g . to 6 o 6 m x t e x ei h s xn + a + ia t t st 2 o 2 to ) t ) .r / h i / ( e n ( a 7 f 7 n x n i x d u n + m i + c e t a 1 r y 1 n 7 a . 7 c ) t ) e o l = r = . l b \ i e i m c n _ o f { m t x e y s . \ r a i r g b h i t t a r r a r r o i w l y \ i l n a f r t g y e } . ( 3 x - 1 . 6 + 2 / x ) / ( 7 + 1 7 / x ) . 8q22(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 |@pColorFontSizePositionStringTagApplicationDataVisible00H \?Mjf?@D l eo i xe m is _ s { t x ? \ r i g h t a r r o w \ i n f t y } ( - 3 x ^ 4 + 7 x ^ 2 - 5 ) / ( x ^ 4 + 4 x ^ 3 - 2 x ) 8q23(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 }@pColorFontSizePositionStringTagApplicationDataVisible00H  ӐJm?C_?BW lh ia mt _ {i xs \t rh ie g hv ta al ru re o wo f \ i n f t y } ( - 3 x ^ 4 + 7 x ^ 2 - 5 ) / ( x ^ 4 + 4 x ^ 3 - 2 x ) ? 8q24(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 }@ pColorFontSizePositionStringTagApplicationDataVisible00H 1"F a >>>> T o > n >>>> h t d e f ffff a c (((( r l = a 1111 e l l 0000 s i c )000 u f n u )00 l u l l )0 t n i a ) s c n t t e e g i ( : e o ' t n s s q l r a h t r a ( g v x e e ) r ' h ) a o n r d i z l o a n r t g a e l r a a s s y m x p t i o n t c e r s e . a s e D s e , f i a n n e d t w h i e l l s q e u v a e r n e t u r a o l o l t y f s u u n r c p t a i s o s n a f n ( y x ) f i = x e x d ^ n { u 0 m . b 5 e } r . i n M a t L a b b y : 8q32(ScribeButtonDownFcnScribeSaveFcns@doclick08off8text8 X0@~ColorFontSizePositionStringVerticalAlignmentTagApplicationData00 H 333333?? SThis tutorial is part of a research project sponsored by a Student Engagement grantQof the College of Arts and Sciences to Winfried Just, the author of the tutorial.0 ZThe tutorial will automatically collect information on its use, such as the time you spentXon each question and the answers (including wrong ones) you enter. This information mayWbe analyzed by the author of the tutorial if you choose to submit it. The main purposeaof collecting this information is to assess the tutorial's effectiveness and to enable the author^to write improved future versions of this and other tutorials. By participating in this studyIyou can provide valuable help to future generations of calculus students.0 UThe information collected by the program will become available to the tutorial authorOonly after you send the .fig file of the tutorial after completion as an e-maildattachment to just@math.ohiou.edu. After e-mailing the attachment, please delete the .fig file fromRthe computer you are working on. This will make the data collected by the programp<inaccessible to third parties.0 UNo information that might reveal the identity of any student who worked on a tutorial/^will be published or released to third parties.8top8