Ti86 manual




















Software application for the ti plus and the ti pages. Application for ti plus graphing calculator pages. You also need to download the statistics program file from the Internet and save it on your computer. Select PRGM As you enter it, it is displayed on the bottom line. The value is displayed in the first row, and the rectangular cursor moves to the next row. Enter the other nine height values the same way.

Enter the test requirements: Store The normal curve is defined by a mean of 65 and a standard The Pooled instruction.

Page 10 Assembly Language Programming: Inferential Statistics and Distribution Functions All examples on pages 10 through 23 assume a fixed-decimal mode setting of four. If you set the decimal mode to or a different fixed-decimal setting, your Float output may differ from the output in the examples.

Page 11 Assembly Language Programming: Inferential Statistics and Distribution Functions TTest This one-sample t-test, shown as in the editor, performs a hypothesis test T-Test for a single unknown population mean m when the population standard deviation s is unknown. Page 12 Assembly Language Programming: Inferential Statistics and Distribution Functions Zsam2 This two-sample Z-test, shown as in the editor, tests the equality of 2-SampZTest and m the means of two populations m based on independent samples when and s both population standard deviations s are known.

Page 13 Assembly Language Programming: Inferential Statistics and Distribution Functions Tsam2 This two-sample t-test, shown as in the editor, tests the equality of the 2-SampTTest and m means of two populations m based on independent samples when or s neither population standard deviation s is known.

It takes as input the count of successes in the sample x and the count of observations in the sample n. It takes as input the count of successes in each sample x1 and x2 and the count of observations in each sample n1 and n2.

Page 16 Assembly Language Programming: Inferential Statistics and Distribution Functions ZIntl This one-sample Z confidence interval, shown as in the editor, computes a ZInterval confidence interval for an unknown population mean m when the population standard deviation s is known.

The computed confidence interval depends on the user-specified confidence level. Page 17 Assembly Language Programming: Inferential Statistics and Distribution Functions ZInt2 This two-sample Z confidence interval, shown as in the editor, 2-SampZInt computes a confidence interval for the difference between two population means when both population standard deviations s and s are known. Page 18 Assembly Language Programming: Inferential Statistics and Distribution Functions TInt2 This two-sample t confidence interval, shown as in the editor, 2-SampTInt computes a confidence interval for the difference between two population means when both population standard deviations s and s are unknown.

Constant Memory feature retains current mode settings when the TI is turned off. All numbers, including elements of matrices and lists, are displayed according to the mode settings. Changing a Mode Setting Page The Catalog The menu items With them, you can create and edit your own variables, including program names. You can: Use X to store a value to a variable.

This chapter describes the first two data storage methods listed here. You can display each screen by selecting the appropriate data type from To clear more items, repeat steps 2 and 3. Deleting a Variable from Memory You cannot delete a TI From the home screen or in a program, to delete from memory one user-created variable built-in variable.

You can use these vowels in variable names and text. Page Keyboard Mathematical Functions If you use two lists, vectors, or matrices in the same expression, they must be equal in dimension. The most common mathematical functions are on the TI keyboard. For syntax, details, and examples of these functions, refer to the A to Z Reference. For details about fPart specific syntax options and examples, refer to the A to Z value Reference.

It is Degree treated as radians in Radian angle mode. For details about seq specific syntax options, refer to the A to Z Reference. The calculus functions return values with respect to any user-created variable, to built-in variables evalF , and evalF nDer der1 nDer , variable can be a real For example: flow Chapter The common constants built into the TI You cannot edit the value of a built-in constant.

You can create your own constants and add them to the user-created constant menu for easy access. You can enter a value later. If you select when the PREV For example, you can convert inches to yards, quarts to liters, or expression is valid. Otherwise, the TI order of evaluation will perform the L The TI converts it to Page Converting A Value Expressed As A Rate You also can return this result using only a forward slash, as in: Number Bases The number base mode setting Chapter 1 controls how the TI interprets an entered number and displays results on the home screen.

For value detailed syntax descriptions, refer to the A to Z Reference. Page Results Of Boolean Operations Results of Boolean Operations Both the argument and the When a Boolean expression is evaluated, the arguments are converted to hexadecimal result must be within defined integers and the corresponding bits of the arguments are compared, as this table shows.

Page Defining A Graph Defining a Graph This chapter describes the process for graphing functions in process is similar for each TI graphing mode. Chapters 8, 9, and 10 describe the unique aspects of polar, parametric, and differential equation graphing modes.

Chapter 6 describes various graphing tools, many of which you can use in all graphing modes. Page The Graph Menu Each graphing mode has a unique equation editor. You must select the graphing mode and number base mode before you enter the functions.

The TI retains in memory all equations stored to the unique graph format settings and window variables. If the function is deselected, its equals sign is not highlighted. Only selected functions are plotted when the TI plots a graph.

If functions are stored in the equation editor, move the cursor down until a blank function is To move to the beginning or displayed. Page Notes About Defining Function Equations Chapter 5: Function Graphing Notes about Defining Function Equations You can edit expressions you inserted using You can include functions, variables, constants, matrices, matrix elements, vectors, vector elements, lists, list elements, complex values, or other equations in the equation.

If you include matrices, vectors, or complex values, the equation must evaluate to a real number at each point.

Each graphing mode has a unique window editor. SimulG Chapter 5: Function Graphing is graphed second, and so on. In sequentially for the first element in each list, then for the second element, and so on.

Page Graph Tools On The Ti Chapter 6: Graph Tools Graph Tools on the TI Chapter 5 describes how to use the define and display the graph of a function in to use the other graph and trace specific functions, perform mathematical analyses, draw on graphs, and store and recall graphs and drawings. The cursor appears as a plus sign with a flashing center pixel.

To move the cursor, press ", ,! Page Tracing A Graph Panning: To view function coordinates to the left or right of the current graph screen, press and hold! When you pan beyond the left or right side of the screen during a trace, the TI automatically changes the values of format is selected, the cursor coordinates are.

Page Defining A Custom Zoom In When you replot the graph, When you have defined the box, replot all the TI updates the window selected functions in the new graph screen. Clear the menus from the screen. Page Move the zoom cursor to the intended new center point of the graph screen.

Zoom in. The TI adjusts the graph screen by xFact yFact , updates window variable values, and replots the selected functions centered on the cursor location. Page Storing And Recalling Zoom Window Variable Values To perform the When a guess, the accuracy of the values you specify will affect the length of time the TI spends calculating the answer; the better the guess, the shorter the calculation time.

When you enter a value directly for the left bound, right bound, or guess, an prompt is displayed on the bottom of the graph screen. Move the cursor to the function with the point for which you want to find the derivative, or slope. The result cursor is displayed at the y-intercept, the cursor coordinate values are displayed, and Select from the ISECT Any action that causes Smart Graph to replot the graph erases all drawings. Therefore, before you use any drawing tool, consider whether you want to perform any of these graphing activities first.

The graph is replotted and displayed with no drawn elements. To clear drawn pictures from the home screen, select pasted to the cursor location. Press b. To replicate the example without additional graphs, turn off all equations and stat plots before entering the instructions as shown.

Define the other endpoint of the segment. As you move the cursor, a line anchored at the first defined endpoint extends to the cursor. Before you start, you may want to store the arrows to a picture variable page Each dependent variable in the table represents a Chapter 5.

DifEq Navigating the Table To Display more dependent variables in the table Display greater values in any column TblStart When you display the equation in the edit line, the column equation name is highlighted. Clearing the Table To clear the table when When you use in a Then explore the appearance of the flower for other values of A and B. To graph polar equations, you must select graphing mode before you enter equations, set the format, or edit window variable values.

The TI retains separate equation, format, and window data for each graphing mode. The polar equation editor menu displayed on the bottom line is the same as the Func In this editor, you can enter and display up to 99 polar equations, Equations are defined in terms of the independent variable The default graph style is » Along the graph of the equation by increments or decrements of From one equation to another If you move the trace cursor beyond the top or bottom of the graph screen, the coordinate QuickZoom is available in When you have completed the entry, press b to reactivate the trace cursor.

Page Preview: Parametric Graphing Chapter 9: Parametric Graphing Preview: Parametric Graphing Graph the parametric equation that describes the path of a ball kicked at an initial speed of 30 meters per second, at an initial angle of 25 degrees with the horizontal from ground level.

To simulate the ball in flight, Plot the graph. To graph parametric equations, you must select variable values. The TI retains in memory separate equation, format, and window data for each graphing mode. Page Selecting And Deselecting A Parametric Equation Selecting and Deselecting a Parametric Equation When a parametric equation is selected, the equals signs To change the selection status of a parametric equation, move the cursor onto either , and then select Deleting a Parametric Equation To delete a parametric equation using select To delete a parametric equation using the Setting the Graph Screen Window Variables Chapter 5 describes the format settings.

The TI retains in memory typically displays a more separate format settings for meaningful parametric graph than Along the graph of the equation by increments or decrements of From one equation to another QuickZoom is available in If you move the trace cursor beyond the top or bottom of the graph screen, the coordinate graphing; To graph differential equations, you must select variable values.

The TI retains in memory separate format, equation, and window data for each graphing mode. Euler WIND To replicate these examples, reset defaults, enter the specified information in Axes information is stored to variables. DifEq When the TI calculates a differential equation system, it references all equations in the equation editor, regardless of selection status, starting at variables consecutively, starting at attempt to solve an equation defined in The TI allows you to analyze each equation independently.

For example, you can enter and analyze each equation independently. Page Setting The Axes If you do not specify initial conditions for the equations assigned to the axes, the TI simply draws the field and stops. This gives you access to both the field format options and the interactive initial conditions simultaneously.

Clear any other Chapter Differential Equation Graphing is the equation variable. To avoid equations on the TI, is the independent graphing mode. Therefore, when you enter DifEq , you would substitute in the equation editor.

Page Display the window editor and set the window variable values. Display the initial conditions editor and enter the initial conditions. A small square indicates that an initial condition is required. When field format is FldOff Display the axes editor. Enter the equation selected, are the variables for which you want to solve. Values for displayed on the graph to the right because Page Chapter Differential Equation Graphing does not store values DrEqu xList, yList, and tList are optional list names to which you can store the solutions , or.

You then can display the lists on the home screen or in the list editor Chapter Use the free-moving cursor to select initial conditions. Page Using Zoom Operations In the example, since no Display the graph screen and plot the initial conditions were set, the direction field. Move the free-moving cursor to the initial condition coordinates you want.

Draw the solution. Display the format screen and set FldOff field format. Delete all other equations. Page Select from the menu. Draw the solution to , using the cursor coordinates x,y as initial condition Q'1 t To continue drawing more solutions, move the free-moving cursor and then press b. You can use it directly on tMin tMax the graph. Chapter 14 describes fStat Each user-created list name is added to the xStat , and yStat names, including Creating, Storing, and Displaying Lists Entering a List Directly in an Expression To enter a list directly, the syntax is: Enter any part of the expression that precedes the list.

For example, , and ABC Abc abc are three different list names. If at least one list element is a complex number, all elements in the list are displayed as complex. The affect the list editor.

Deleting Elements from a List To delete a single element from a list, move the cursor onto the element and press 3. The element is deleted. Page Using List Operations You can remove all user-created lists from the list editor and restore list names Reset all memory Chapter Resetting defaults does not affect the list editor. Page Chapter Lists min For a complex list, returns the smallest or max largest magnitude modulus.

The function must be valid for every element in the list; however, when graphing, undefined points do not result in an error. Page Attaching A Formula To A List Name Chapter Lists Attaching a Formula to a List Name You cannot edit an element You can attach a formula to a list name so that the formula generates a list that is stored of a list created from an and dynamically updated in the list name.

The example below builds on the example above for attaching a formula to a list. Notice that the formula in step 1 below is not attached to Generate a regular list by storing the expression Page Using The List Editor With Attached-Formula Lists When you edit or enter elements of a displayed list in any of the three current list editor columns while an attached-formula list also is displayed, the TI takes slightly longer to execute the edit or entry.

To reduce this effect, move lists with formulas off the current three- column display, either by scrolling columns to the left or right or by rearranging the list editor. Page Handling Errors Related To Attached Formulas You can successfully attach to a list a formula that does not yet resolve to a list. For example, you can attach However, if you attempt to display When you attach such a formula to a list name in the list editor, the formula is successfully attached, but an error occurs.

Page Detaching A Formula From A List Name As described above, one way to detach a formula from a list name is to edit an element of the attached-formula list. The TI protects against inadvertently detaching the formula from the list name when you move the cursor onto one of the elements.

On the TI, you can store up to elements to a vector in rectangular form. You can use two- or three-element vectors to define magnitude and direction in a two- or three- dimensional space. Enter each vector element value at each vector element prompt. You can select a vector conversion menu to override the mode setting page Chapter Vectors Editing Vector Dimension and Elements You can use : , 3 , and - p to edit matrix elements. To find out more or to change your preferences, see our cookie policy page.

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