ࡱ> cn}q` sbjbjqPqP [::M%h9h9h989;vv<ZK"|K|K|KATATATvvvvvvv$ xhrzv9vATRNATATAT9v|K|KwNv]]]AT|K|Kv]ATv]]l|;n|K< @DDh9Vdcmt|dv0vumzIZ&z$;n;npzqATAT]ATATATATAT9v9vo\ATATATvATATATAT1h9h9 Calculator Basics TI-83, TI-83+ , TI-84 Index Page Getting Started Page 1 Graphing Page 2 Evaluating Functions page 4 Minimum and Maximum Values Page 5 Table of Values Page 6 Graphing Scatter Plots Page 7 Intersections Page 8 Zeros (Roots) Page 9 Graphing Scatter Plots and Regression Equations Page 10 Solving Systems of Equations by using Matrices * Page 12 Determinants of Matrices* Page 13 * From http://www.prenhall.com/divisions/esm/app/graphing/ti83/index.html Getting Started INCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/On.png" \* MERGEFORMAT  turns On the calculator (located in the lower left corner ).  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/2nd.gif" \* MERGEFORMATINET  INCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/On.png" \* MERGEFORMAT  turns OFF the calculator (located in the upper left corner). The Home Screen is where you enter in and carry out most calculations. Press enter after entering the numbers/symbols.  To darken or lighten screen, use  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/2nd.gif" \* MERGEFORMATINET  INCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/UpArrow.png" \* MERGEFORMAT  or INCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/DownArrow.png" \* MERGEFORMAT  arrows.  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Mod.gif" \* MERGEFORMATINET  shown in the figure below helps you to change the display.  (The TI-83 does not show the Set Clock option)  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Mod.gif" \* MERGEFORMATINET  or [QUIT], will take you back to the home screen.  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Carot.gif" \* MERGEFORMATINET  is the exponent key. Example: x5 = x  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Carot.gif" \* MERGEFORMATINET  5  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET  34 = 3  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Carot.gif" \* MERGEFORMATINET  4  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET  Difference between minus and negative keys: For negative numbers: choose  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Neg.gif" \* MERGEFORMATINET  key (to the left of  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET ) For minus or subtraction: choose  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Sub.gif" \* MERGEFORMATINET  key right above the  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Add.gif" \* MERGEFORMATINET  key Roots: Square root: choose  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/x2.gif" \* MERGEFORMATINET  [  EMBED Equation.DSMT4  ] Ex.  EMBED Equation  =  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/x2.gif" \* MERGEFORMATINET  16 INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/RPar.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET  Cube root: Rise to the 1/3 power. Ex.  EMBED Equation.DSMT4  = 2  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Carot.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/LPar.gif" \* MERGEFORMATINET 1  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Div.gif" \* MERGEFORMATINET 3  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/RPar.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET . nth roots: : Rise to the 1/6 power. Ex.  EMBED Equation.DSMT4  = 2  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Carot.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/LPar.gif" \* MERGEFORMATINET 1  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Div.gif" \* MERGEFORMATINET 6  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/RPar.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET . Absolute value : Find | -2|.  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Mat.gif" \* MERGEFORMATINET  INCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/RightArrow.png" \* MERGEFORMAT  NUM  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/1.gif" \* MERGEFORMATINET  abs( INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Neg.gif" \* MERGEFORMATINET 2 INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/RPar.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET . Graphing Ex. Graph y = 2x + 5 Go to  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET  and type in the equation Y1 = 2x + 5, and press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/6.gif" \* MERGEFORMATINET  (ZStandard). Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Var.gif" \* MERGEFORMATINET  to type the variable x.   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Win.gif" \* MERGEFORMATINET  tells us the portion of the coordinate system we are viewing when we look at our graph. You can change your window anytime you want to see more or less of your graph.  A window will be denoted by x: [-10, 10, 1] representing [x min, x max, x scale]. The same thing we can do with y: [-10, 10, 1] representing [y min, y max, y scale]. Notes: Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Neg.gif" \* MERGEFORMATINET  to type a leading negative sign. Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Sub.gif" \* MERGEFORMATINET  to type a subtraction symbol. Any character in an equation can be deleted. Highlight the character and press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Del.gif" \* MERGEFORMATINET . A character can be inserted in an equation. Highlight the entry after which a character is to be inserted. Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/2nd.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Del.gif" \* MERGEFORMATINET . The character is inserted in front of the highlighted character. Zoom: You can use ZOOM  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET  if you want to change your window using preset scales.  Some common preset scales are:  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/6.gif" \* MERGEFORMATINET  selects ZStandard which sets the window to x: [-10, 10, 1], y: [-10, 10, 1]  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/4.gif" \* MERGEFORMATINET  selects ZDecimal which sets to x: [-4.7, 4.7, 1], y: [-3.1, 3.1, 1]. Each pixel represents 0.1 units. The tic marks on each axis are equally spaced.  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/5.gif" \* MERGEFORMATINET  selects ZSquare which adjusts Xmin and Xmax so that the tic marks on the x axis are spaced the same as those on the y axis. This makes a circle appear as a circle (round) and not as an oval.  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/8.gif" \* MERGEFORMATINET  selects ZInteger which sets Xscl = 10 and Yscl = 10, and centers the graph at the cursor location. If you select  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/6.gif" \* MERGEFORMATINET  and then  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/8.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET , it sets the window to Xmin = -47, Xmax = 47, Ymin = -31, and Ymax = 31.  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/9.gif" \* MERGEFORMATINET  selects ZoomStat which defines the viewing window so that all data points are shown.  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/0.gif" \* MERGEFORMATINET  selects ZoomFit which adjusts Ymin and Ymax include the minimum and maximum y values for the selected functions. Evaluating a Function The  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Tra.gif" \* MERGEFORMATINET  key will trace along a graphed function when you use the right and left cursor keys.  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Tra.gif" \* MERGEFORMATINET  gives you preset values that will depend on the window used, so it will not evaluate a function at all its x-values Ex. Use the  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Tra.gif" \* MERGEFORMATINET  option with the function EMBED Equation . To plot EMBED Equation , go to  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET  and type in the equation using  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/6.gif" \* MERGEFORMATINET . The absolute value key is found in  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Mat.gif" \* MERGEFORMATINET  INCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/RightArrow.png" \* MERGEFORMAT  NUM and type  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/1.gif" \* MERGEFORMATINET .    Press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Tra.gif" \* MERGEFORMATINET  , and use the cursor key to see some points on the graph. One of the points is shown.  To evaluate a graphed function for a specific value of x, simply type in the number (after you have pressed  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Tra.gif" \* MERGEFORMATINET  ) and then press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET . You can keep entering numbers for x to obtain values for y. Ex. Evaluate  EMBED Equation .at x = 3   The typed value of x must be between the Xmin and Xmax values entered in  HYPERLINK "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/desc_pages/window.html"  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Win.gif" \* MERGEFORMATINET  HYPERLINK "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/desc_pages/window.html" . If you just use the  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Tra.gif" \* MERGEFORMATINET  key, you will not obtain the correct answer because x =3 is not a preset value for this window. Note: You can also use the Value Option to evaluate a graphed function for a value of x. To access the value option, by press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/2Tra.gif" \* MERGEFORMATINET  and type INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/1.gif" \* MERGEFORMATINET  or INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET . "x =" appears at the bottom of the screen. Enter the desired value for x, and it will give you the y value. You can type any other value of x, and you will obtain the corresponding y value. Minimum and Maximum Values These options are used to find relative the minimum and maximum of a function. To find these points, press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/2Tra.gif" \* MERGEFORMATINET , and select  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/3.gif" \* MERGEFORMATINET  for minimum and  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/4.gif" \* MERGEFORMATINET for maximum   Lets say we want to find the minimum and maximum value of the function  EMBED Equation.DSMT4 . First we need to specify an interval containing the desired high or low point on the graph by setting the bounds of the function.     When question "Left Bound?" appears at the bottom of the screen. Use  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/RCur.gif" \* MERGEFORMATINET  to move the blinking cursor to the left of the relative minimum. Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET . See screens above The question "Right Bound?" appears at the bottom of the screen. Use  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/RCur.gif" \* MERGEFORMATINET  to move the blinking cursor to theright of the relative minimum. Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET . The arrows at the top of the screen indicate the boundaries between which the calculator will give the relative minimum. (The arrows must point toward each other.) The question "Guess?" appears at the bottom of the screen. Locate the cursor between the established boundaries. Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET . The coordinates of the minimum appear at the bottom of the screen. To find the maximum of the function we select  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/4.gif" \* MERGEFORMATINET  and follow the steps above. In this case we need to use INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/LCur.gif" \* MERGEFORMATINET .     Tables of Values To create a table from a function, first, enter your equation into  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET  then go to TABSET (Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/2nd.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Win.gif" \* MERGEFORMATINET  to view the table set up)   TblStart determines the first x value displayed in the table.  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Delta.gif" \* MERGEFORMATINET Tbl establishes the increment between successive x values. Indpnt Auto displays a table with an automatically generated list of x values based on the established TblStart and INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Delta.gif" \* MERGEFORMATINET Tbl. Depend Auto displays a table with an automatically generated list of corresponding y values defined for equations defined in  HYPERLINK "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/desc_pages/y%3D.html"  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET  . To see your table, press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Gra.gif" \* MERGEFORMATINET   If you set your table to Indpnt Ask, you can enter any x value and get the corresponding y value. (Note: Indpnt represents the x values, and Depend represents the y values.)  Graphing Scatter Plots The process of graphing scatter plots consists of A) Entering Data, and B) graphing the scatter plot A) Entering Data 1. Press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Sta.gif" \* MERGEFORMATINET to access the statistics mode. 2.Choose EDIT by pressing INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/1.gif" \* MERGEFORMATINET  or INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET  3. Clear any previous data in columns L1, L2. UseINCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/UpArrow.png" \* MERGEFORMAT to select L1. Press INCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/Clear.png" \* MERGEFORMAT   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET . Repeat for L2. You can also use the clrlist option to clear lists. To do so, press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Sta.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/4.gif" \* MERGEFORMATINET  . Next, specify which of the lists, L1 - L6, should be cleared.    4. Enter x-coordinates of data points in L1 column; enter y-coordinates in L2. B) Graphing the scatter plot To draw an scatter plot, press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/1.gif" \* MERGEFORMATINET , and set Plot1 menu as follows:  This will turn ON the scatter plot Plot1. 2. Press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/9.gif" \* MERGEFORMATINET  to see scatter plot. You will have to adjust the window to see all your data. 3. To see your table of points, press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Gra.gif" \* MERGEFORMATINET . Important: When you finish plotting scatter plots, you must turn OFF your scatter plot (see part B). Otherwise, you will not be able to see many of the graphs you write in the  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET  screen. Intersections The Intersect option is used to determine a point of intersection of two graphs. First enter one equation in  EMBED Equation , and the other in  EMBED Equation . Then press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Gra.gif" \* MERGEFORMATINET . You can also press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/6.gif" \* MERGEFORMATINET  to graph in the standard window.  Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/2Tra.gif" \* MERGEFORMATINET , and Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/5.gif" \* MERGEFORMATINET . (The intersect option can also be obtained by using theINCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/DownArrow.png" \* MERGEFORMAT  to select option 5 and pressing  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET .)  The cursor appears on the first graph indicated by the equation in the upper left-hand corner of the screen. The question "First curve?" appears at the bottom of the screen. Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET  to select the curve. Remember that a line is considered a curve. Then, the question "Second curve?" appears at the bottom of the screen, and the cursor jumps to the other curve (or line). Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET  to select the curve. The question "Guess?" appears at the bottom of the screen. Move the blinking cursor close to the desired point of intersection and press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET . The coordinates of the point of intersection appear at the bottom of the screen. Here, the point of intersection is (2, 4).  Zeros (Roots) The Zero option is used to determine the x-intercepts of a graph. Enter your equation in  EMBED Equation , and press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Gra.gif" \* MERGEFORMATINET  in any appropriate window. Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-82/Images/TI-82-Gifs/2Tra.gif" \* MERGEFORMATINET , and Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-82/Images/TI-82-Gifs/2.gif" \* MERGEFORMATINET  to obtain the Zero option (The zero option can also be obtained by using theINCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/DownArrow.png" \* MERGEFORMAT  to select option 2 and pressing  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET .)    Since a function may have more than one x intercept, specify an interval containing the desired x intercept. Lets say that we want to find the x-intercept to the right. When the question "Left Bound?" appears at the bottom of the screen, after you press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-82/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET  , use theINCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/RightArrow.png" \* MERGEFORMAT  to move the blinking cursor to the left of the x intercept, and press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-82/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET . See first graph below. When the question "Right Bound?" appears at the bottom of the screen, use theINCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/RightArrow.png" \* MERGEFORMAT  to move the blinking cursor to theright of the x intercept, and press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-82/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET . See the second graph below.    The arrows at the top of the screen indicate the boundaries between which the calculator will give the zero. (The arrows must point toward each other and the x intercept must lie between them.) When the question "Guess?" appears at the bottom of the screen, locate the cursor between the established boundaries, and press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-82/Images/TI-82-Gifs/Ent.gif" \* MERGEFORMATINET . The x-intercept will show. See the last graph above. To find the other zero, repeat the steps. Graphing Scatter Plots and Regression Equations The process of finding the regression equation consists of A) Entering Data, B) Finding the regression equation, C) graphing the scatter plot, and D) Plotting the regression equation. A) Entering Data 1. Press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Sta.gif" \* MERGEFORMATINET to access the statistics mode. 2.Choose EDIT by pressing INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/1.gif" \* MERGEFORMATINET  or INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET  3. Clear any previous data in columns L1, L2. UseINCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/UpArrow.png" \* MERGEFORMAT to select L1. Press INCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/Clear.png" \* MERGEFORMAT   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET . Repeat for L2. You can also use the clrlist option to clear lists. To do so, press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Sta.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/4.gif" \* MERGEFORMATINET  . Next, specify which of the lists, L1 - L6, should be cleared.   4. Enter x-coordinates of data points in L1 column; enter y-coordinates in L2. B) Finding the regression equation To find the regression equation, press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Sta.gif" \* MERGEFORMATINET INCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/RightArrow.png" \* MERGEFORMAT CALC and then type of you want (linear  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/4.gif" \* MERGEFORMATINET , Quadratic  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/5.gif" \* MERGEFORMATINET , cubic  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/6.gif" \* MERGEFORMATINET , exponential  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/0.gif" \* MERGEFORMATINET , power A etc.) and INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET . If you do not see r and r2 in the linear regression, do the following: Press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-82-Gifs/0.gif" \* MERGEFORMATINET  [CATALOG] and scroll down to Diagnostic On, and press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Ent.gif" \* MERGEFORMATINET . You will see the word Done in your screen. Now you repeat step B, and you should see r and r2. continue C) Graphing the scatter plot To draw an scatter plot, press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/1.gif" \* MERGEFORMATINET , and set Plot1 menu as follows:  This will turn ON the scatter plot Plot1. 2. Press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Zoo.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/9.gif" \* MERGEFORMATINET  to see scatter plot. You will have to adjust the window to see all your data. 3. To see your table of points, press  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Gra.gif" \* MERGEFORMATINET . D) Plotting the regression equation To plot data, press  HYPERLINK "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/desc_pages/y%3D.html"  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET  and clear any previous equations. The equation can be transferred to INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET  without typing the equation as follows. Press INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/Vars.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/5.gif" \* MERGEFORMATINET  and useINCLUDEPICTURE "../../../Documents%20and%20Settings/dave/Local%20Settings/Local%20Settings/Temp/RightArrow.png" \* MERGEFORMAT  to select EQ You will see the scatter plot and the graph. Important: When you finish plotting scatter plots, you must turn OFF your scatter plot (see part C). Otherwise, you will not be able to see many of the graphs you write in the  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/calculator/medialib/Technology/Documents/TI-83/Images/TI-Gifs/y%3D.gif" \* MERGEFORMATINET  screen. Solving Systems of Equations by using Matrices Example: Use a matrix to solve the following system of equations.  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/Home_Screen/Menu_Keys/Matrix/images/system.gif" \* MERGEFORMATINET  Go to MATRIX ( INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/x_inverse.gif" \* MERGEFORMATINET ) and then EDIT. INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/Home_Screen/Menu_Keys/Matrix/images/example_1.gif" \* MERGEFORMATINET Define [A] to be a 3X4 matrix. Use the cursor and the ENTER key to move through the spaces. INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/Home_Screen/Menu_Keys/Matrix/images/example_2.gif" \* MERGEFORMATINET Now enter the coefficients and constants from the system by entering the value and pressing ENTER. INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/Home_Screen/Menu_Keys/Matrix/images/example_3.gif" \* MERGEFORMATINET Return to the home screen ( INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/mode.gif" \* MERGEFORMATINET ) and access the MATRIX MATH menu and scroll down to item B. INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/Home_Screen/Menu_Keys/Matrix/images/example_4.gif" \* MERGEFORMATINET Hit ENTER to return to the home screen. INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/Home_Screen/Menu_Keys/Matrix/images/example_5.gif" \* MERGEFORMATINET Enter matrix [A] by pressing  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/2nd.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/x_inverse.gif" \* MERGEFORMATINET 1 and close the parentheses. INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/Home_Screen/Menu_Keys/Matrix/images/example_6.gif" \* MERGEFORMATINET Press ENTER and read the solution as x=2, y=-1, z=4. INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/Home_Screen/Menu_Keys/Matrix/images/example_7.gif" \* MERGEFORMATINET Determinants of Matrices Example: Find the determinant EMBED Equation.2 . Go to MATRIX ( INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/x_inverse.gif" \* MERGEFORMATINET ) and then EDIT. INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/Home_Screen/Menu_Keys/Matrix/images/example_1.gif" \* MERGEFORMATINET Define [A] to be a 3X3 matrix. Use the cursor and the ENTER key to move through the spaces.Now enter the coefficients and constants from the system by entering the value and pressing ENTER.Return to the home screen ( INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/2nd.gif" \* MERGEFORMATINET   INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/mode.gif" \* MERGEFORMATINET ) and access the MATRIX MATH menu and select 1: det(Hit ENTER to return to the home screen.Enter matrix [A] by pressing  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/2nd.gif" \* MERGEFORMATINET  INCLUDEPICTURE "http://www.prenhall.com/divisions/esm/app/graphing/ti83/common_images/x_inverse.gif" \* MERGEFORMATINET 1 and close the parentheses.Press ENTER and read the solution -12     PAGE  PAGE 2  '(45DGIMNTm  - . e g h ¹wnnenene\h&c5CJaJh%5CJaJh;5CJaJht 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