Texas Instruments TI-89 Voyage 200 User Manual

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TI-89 Titanium Graphing Calculator
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TI-89 Titanium Graphing Calculator 2
Important Information
Texas Instruments makes no warranty, either express or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an "as-is" basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials, and the sole and exclusive liability of Texas Instruments, regardless of the form of action, shall not exceed the purchase price of this product. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.
USA FCC Information Concerning Radio Frequency Interference
This equipment has been tested and found to comply with the limits for a Class B digital device, pursuant to Part 15 of the FCC rules. These limits are designed to provide reasonable protection against harmful interference in a residential installation. This equipment generates, uses, and can radiate radio frequency energy and, if not installed and used in accordance with the instructions, may cause harmful interference to radio communications. However, there is no guarantee that interference will not occur in a particular installation.
If this equipment does cause harmful interference to radio or television reception, which can be determined by turning the equipment off and on, you can try to correct the interference by one or more of the following measures:
Reorient or relocate the receiving antenna.
Increase the separation between the equipment and receiver.
Connect the equipment into an outlet on a circuit different from that to which the receiver is connected.
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TI-89 Titanium Graphing Calculator 3
Consult the dealer or an experienced radio/television technician for help.
Caution: Any changes or modifications to this equipment not expressly approved by Texas Instruments may void your authority to operate the equipment.
© 2005 Texas Instruments Incorporated
Windows and Macintosh are trademarks of their respective owners.
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Getting Started 4
Getting Started
Getting StartedGetting Started
Getting Started
Initial start-up
Initial start-up Initial start-up
Initial start-up
Installing the AAA Batteries
Installing the AAA BatteriesInstalling the AAA Batteries
Installing the AAA Batteries
The TI-89 Titanium uses four AAA alkaline batteries and a backup silver oxide battery (SR44SW or 303). The backup battery is already installed, and the AAA batteries are provided with the product.
1. Remove the battery cover from the back of the calculator.
2. Unwrap the four AAA batteries provided with your product and insert them in the battery compartment. Arrange the batteries according to the polarity (+ and -) diagram in the battery compartment.
3. Replace the battery cover on the calculator. The cover should snap into place.
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Getting Started 5
Turning on your
Turning on your Turning on your
Turning on your TI-89 Titanium
TI-89 TitaniumTI-89 Titanium
TI-89 Titanium for the first time
for the first time for the first time
for the first time
After installing the batteries included with the calculator, press ´. The Apps desktop appears.
Note: If your calculator initializes the preinstalled Apps, a progress bar will appear with
the message “
Installation in progress . . . Do not interrupt!” instead of the
Apps desktop. To avoid losing Apps, do not remove the batteries during initialization. (You can re-install Apps from either the Product CD-ROM or education.ti.com
.)
Adjusting the contrast
Adjusting the contrastAdjusting the contrast
Adjusting the contrast
The Apps desktop
The Apps desktopThe Apps desktop
The Apps desktop
The Apps desktop is the starting point for operating your TI-89 Titanium. Your installed Apps appear on the Apps desktop as icons organized in categories for easy access. From the Apps desktop, you can:
Open Apps.
Progress bar
To lighten the display, press and hold 8 and tap |.
To darken the display, press and hold 8 and tap «.
CHAR
VAR-LINK
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Getting Started 6
Select and edit categories of Apps.
View all of the Apps installed on your calculator.
View the full name of the highlighted App.
View and edit the time and date.
Check status line information.
View split-screen mode information.
TI-89 Titanium Apps desktop
Ê View full name of highlighted App.
Ë View time and date.
Ì Press ¸ to open highlighted App.
Í Scroll down to view additional Apps.
Î Check status line information.
Ë
Ì
Ê
Ï
Î
Í
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Getting Started 7
Ï Edit categories.
To return to the Apps desktop at any time, press O. The last category selected appears with the last open App highlighted.
Turning off the calculator
Turning off the calculatorTurning off the calculator
Turning off the calculator
Press 2®. The next time you turn on the calculator, the Apps desktop appears with the same settings and memory contents retained. (If you turned off the Apps desktop, the calculator Home screen appears.)
You can use either of the following keys to turn off the TI-89 Titanium.
Press: Description
2 ® (press 2
and then press
®)
Settings and memory contents are retained by the Constant Memory™ feature.
You cannot, however, use 2 ® if an error
message is displayed.
When you turn the TI-89 Titanium on again, it displays either the Home screen or the Apps desktop (regardless of the last application you used).
¥ ® (press ¥
and then press
®)
Similar to
2 ® except:
You can use ¥ ® if an error message is displayed.
When you turn the TI-89 Titanium on again, it will be exactly as you left it.
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Getting Started 8
Note: ® is the second function of the ´ key.
The calculator’s Automatic Power Down™ (APD™) feature prolongs battery life by turning the calculator off automatically following several minutes of inactivity. When you turn on the calculator after APD:
The display, cursor, and any error conditions are exactly the same as before APD.
All settings and memory contents are retained.
Note: APD does not occur if a calculation or program is in progress, unless the program
is paused. If a program is running but waiting for a key press, APD will occur after several minutes of inactivity.
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Getting Started 9
TI-89 Titanium
TI-89 TitaniumTI-89 Titanium
TI-89 Titanium keys
keys keys
keys
Ë
Ì
Í
Ê
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Getting Started 10
TI-89 Titanium keys
Ê Function keys (ƒ– Š) open toolbar menus, access Apps, and edit categories of Apps.
Ë Cursor keys (A, B, C, D) move the cursor.
Ì Numeric keypad performs math and scientific functions.
Í Modifier keys (2, 8, 7) add features by increasing the number of key commands.
Entering special characters
Entering special charactersEntering special characters
Entering special characters
Use the CHAR (Character) menu and key commands to enter special characters. The CHAR menu lets you access Greek, math, international, and other special characters. An on-screen keyboard map shows the locations of shortcuts used to enter other commonly used characters.
To select characters from the CHAR menu:
1. Press 2G. The CHAR menu appears.
2. Use the cursor keys to select a category. A submenu lists the characters in that category.
3. Use the cursor keys to select a character, and press ¸.
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Getting Started 11
Example: Enter the right arrow symbol (→) in the Text Editor.
To open the keyboard map, press 8”. The keyboard map appears.
Press Result
2G
4
9
– or –
Press
D repeatedly to
select 9:
and press
¸
Scroll down for more characters.
Symbol displayed at cursor location.
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Getting Started 12
To type most characters, press 8 and the corresponding key. Press N to close the map.
Example: Use the keyboard map to find the “not equal to” symbol (ƒ) shortcut and enter the symbol in the Program Editor.
Press Result
8”
¥Á
Symbol displayed at cursor location.
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Getting Started 13
Modifier keys
Modifier keysModifier keys
Modifier keys
Modifier keys add features by increasing the number of keyboard operations at your fingertips. To access a modifier function, press a modifier key and then press the key for the corresponding operation.
Keys Description
2
(Second)
Accesses Apps, menu options, and other operations. Second functions are printed above their corresponding keys in the same color as
the
2 key.
8
(Diamond)
Accesses Apps, menu options, and other operations. Diamond functions are printed above their corresponding keys in the same
color as the
8 key.
¤
(Shift)
Types an uppercase character for the next letter key you press. Also used with A and B to highlight characters when editing.
j
(Alpha)
Lets you type alphabetic characters without a QWERTY keypad. Alpha characters are printed above their corresponding keys in the same color as the
j key.
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Getting Started 14
Example: Access the VAR-LINK [All] screen, where you can manage variables and Apps.
Function keys
Function keysFunction keys
Function keys
Use the function keys to perform the following operations:
On the Apps desktop, open Apps and select or edit Apps categories.
On the calculator Home screen, open toolbar menus to select math-related operations.
Within Apps, open toolbar menus to select App options.
Numeric keypad
Numeric keypadNumeric keypad
Numeric keypad
The numeric keypad lets you enter positive and negative numbers.
To enter a negative number, press ? before typing the number.
Note: Don’t confuse the negation key (?) with the subtraction key (|).
Press Result
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Getting Started 15
To enter a number in scientific notation:
1. Type the numbers that precede the exponent. (This value can be an expression.)
2. Press ^. The exponent symbol (í) follows the numbers you entered.
3. Type the exponent as an integer with up to three digits. (As the following example shows, you can use a negative exponent.)
Example: On the calculator Home screen, enter 0.00685 using scientific notation.
Other important keys
Other important keysOther important keys
Other important keys
Press Result
6 85
^
?
3
¸
Key Command Description
8#
Displays the Y= Editor.
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Getting Started 16
8$
Displays the Window Editor.
8%
Displays the Graph screen.
8&
Sets parameters for the Table screen.
8'
Displays the Table screen.
¥5 ¥6 ¥7
These keys let you edit entered information by performing a cut, copy, or paste operation.
O
Displays the Apps desktop.
8 O
With the Apps desktop off, displays the FLASH APPLICATIONS menu.
2a
Switches between the last two chosen Apps.
Turns the custom menu on and off.
24
Converts measurement units.
¥
Designates a measurement unit.
0
Deletes the character to the left of the cursor (backspace).
8.
Deletes the character to the right of the cursor.
2/
Switches between insert and overwrite modes.
Key Command Description
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Getting Started 17
Mode settings
Mode settings Mode settings
Mode settings
Modes control how the TI-89 Titanium displays and interprets information. All numbers, including elements of matrices and lists, are displayed according to the current mode settings. When the TI-89 Titanium is turned off, the Constant Memory™ feature retains all of the mode settings you have selected.
To view the TI-89 Titanium mode settings:
Displays the MEMORY screen.
½
Displays a list of commands.
Recalls the contents of a variable.
§
Stores a value to a variable.
2G
Displays the CHAR menu, which lets you select Greek letters, international accented characters, and other special characters..
2K
In full-screen mode, displays the Apps desktop.
In split-screen mode, displays the full-screen view of the active App.
With the Apps desktop off, displays the calculator Home screen.
Key Command Description
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Getting Started 18
1. Press 3. Page 1 of the MODE dialog box appears.
2. Press or to display the modes listed on Page 2 or Page 3.
Note: Modes that are grayed out are available only if other required mode settings are
selected. For example, the Custom Units mode listed on Page 3 is available only if the Unit System mode is set to CUSTOM.
Viewing mode settings
Viewing mode settingsViewing mode settings
Viewing mode settings
Press Result
3
ã„
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Getting Started 19
Changing mode settings
Changing mode settingsChanging mode settings
Changing mode settings
Example: Change the Language mode setting to Spanish (Español).
Press Result
3
Press Result
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Getting Started 20
Scroll down to the Language
field.
D
Press B
and then press D until
3:Español is highlighted.
Note:
Your menu list might vary, depending on the languages installed.
¸
Press Result
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To return the Language mode setting to English, repeat the steps, selecting 1:English in the Language field.
Using the Catalog to access commands
Using the Catalog to access commands Using the Catalog to access commands
Using the Catalog to access commands
Use the Catalog to access a list of TI-89 Titanium commands, including functions, instructions, and user-defined programs. Commands are listed alphabetically. Commands not beginning with a letter are found at the end of the list (&, /, +, –, etc.).
The Catalog Help App includes details about each command.
Options not currently valid are grayed out. For example, the Flash Apps (
…) menu option is grayed out if no Flash applications are installed on your TI-89
Titanium; the User-Defined (
†) menu option is grayed out if you have not created a
function or program.
¸
Note: The previous open App
appears (in this example, the calculator Home screen).
Press Result
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Getting Started 22
Note: Typing a letter takes you to the first command in the list starting with the same
letter.
Select commands from the Catalog and insert them onto the calculator Home screen entry line or paste them to other Apps, such as the Y= Editor, Text Editor, or CellSheet Apps.
Press Result
½
(displays Built-in commands)
(displays Flash Apps
commands, if any)
(displays User-Defined
commands, if any)
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Getting Started 23
Example: Insert the comDenom( command on the calculator Home screen entry line.
Note: Before selecting a command, position the cursor where you want the command to
appear.
Pressing 2D advances the Catalog list one page at a time.
The status line displays any required and optional parameters for the selected command. Optional parameters appear in square brackets.
Note: Pressing ƒ will also display the parameters for the selected command.
Press Result
½ C
2D
Then press D until the pointer is
at the comDenom( function.
¸
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To exit the Catalog without selecting a command, press N.
Calculator Home screen
Calculator Home screenCalculator Home screen
Calculator Home screen
The calculator Home screen is the starting point for math operations, including executing instructions, evaluating expressions, and viewing results.
To display the calculator Home screen, press: "
You can also display the calculator Home screen from the Apps desktop by highlighting the Home icon and pressing ¸.
Selected command
Command parameters
Brackets [ ] indicate optional parameters
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Getting Started 25
Ê History area lists the entry/answer pairs entered.
Ë Tabs display menus for selecting lists of operations. Press ƒ, „, and so on to
display menus.
Ì Result of last entry is displayed here. (Note that results are not displayed on the entry line.)
Í Status line shows the current state of the calculator.
Î Entry line displays your current entry.
Ï Your previous entry is displayed here.
To return to the Apps desktop from the calculator Home screen, press O.
Ê
Ë
Ï
Î
Í
Ì
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Getting Started 26
About the history area
About the history areaAbout the history area
About the history area
The history area displays up to eight entry/answer pairs, depending on the complexity and height of the expressions. When the display is filled, information scrolls off the top of the screen. Use the history area to:
Review previous entries and answers. Use the cursor keys to view entries and
answers that have scrolled off the screen.
Recall or auto-paste a previous entry or answer onto the entry line to reuse or edit.
(For more information, see the electronic Operating the Calculator chapter.)
The cursor, which normally rests on the entry line, can be moved into the history area. The following table shows you how to move the cursor around in the history area.
To Do this
View entries/answers scrolled off the screen
From the entry line, press C to highlight the last answer. Continue using
C to move the cursor from
answer to entry through the history area.
Go to the oldest or newest entry/answer pair
If the cursor is in the history area, press
8C or
8D.
View an entry or answer too long for one line (8 is displayed at the end of the line)
Move the cursor to the entry or answer. Use A or
B to scroll left or right and 2A or 2B to
go to the beginning or end.
Return cursor to the entry line
Press
N, or press D until the cursor is back
on the entry line.
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Interpreting history information on the status line
Interpreting history information on the status lineInterpreting history information on the status line
Interpreting history information on the status line
Use the history indicator on the status line for information about the entry/answer pairs. For example:
If the cursor is on the entry line:
If the cursor is in the history area:
Modifying the history area
Modifying the history areaModifying the history area
Modifying the history area
To change the number of pairs that can be saved:
1. From the calculator Home screen, press ƒ and select
9:Format.
2. Press B and use C or D to highlight the new number.
3. Press ¸¸.
To clear the history area and delete all saved pairs:
From the calculator Home screen, press ƒ and select
8:Clear Home.
– or –
Total number of pairs
currently saved
________
8/30
_______
Maximum number of pairs that can be saved
Pair number of the
highlighted
entry/answer
_______
8/30
_______
Total number of pairs currently saved
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Getting Started 28
•Enter ClrHome on the calculator Home screen entry line.
To delete an entry/answer pair, move the cursor to either the entry or answer, and press 0 or M.
Working with Apps
Working with AppsWorking with Apps
Working with Apps
The TI-89 Titanium organizes Apps by category on the Apps desktop. To select a category, press a function key ( through 2 Š ). The App icons for the selected category appear on the Apps desktop.
Note: If the name under an Apps desktop icon is truncated, use the cursor keys to
highlight the icon. Now view the full name at the top of the Apps desktop.
Opening Apps
Opening AppsOpening Apps
Opening Apps
Use the cursor keys or press the first letter of the App name to highlight the Apps icon on the Apps desktop and press ¸. The App either opens directly or displays a dialog box. The most common dialog box lists these options for the App:
Note: The TI-89 Titanium uses the general term variable to refer to the App data files that
you create.
Option Description
Current Returns the screen displayed when you last viewed
the App. If no current App variable exists, the New dialog box appears.
Open Lets you open an existing file.
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Getting Started 29
Select an option, enter any required information, and press ¸. The App appears.
Example: Create a new program using the Program Editor.
New Creates a new file with the name typed in the field.
Press Result
Use cursor keys to highlight
¸
3
Option Description
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Getting Started 30
The newly created program variable, program1, is saved to the Main folder.
¸
DD
program1
¸¸
Press Result
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Getting Started 31
Returning to the Apps desktop from within an App
Returning to the Apps desktop from within an AppReturning to the Apps desktop from within an App
Returning to the Apps desktop from within an App
Press O. The icons for the last Apps category selected appear on the Apps desktop with the icon for the last App opened highlighted.
You can also return to the Apps desktop by pressing 2K in full-screen mode. In split-screen mode, press 2K twice.
To return to the last open App from the Apps desktop, press 2a.
Selecting an Apps category
Selecting an Apps categorySelecting an Apps category
Selecting an Apps category
On the TI-89 Titanium, the Apps category names appear only in the
F1 Menu. To select
an Apps category, press ƒ
2:Select Category and use the cursor keys to highlight an
Apps category, and then press ¸ to select the highlighted category. You can also use the function key shortcuts to select a category from the keypad (use the 2 key if necessary). The App icons for the selected category appear on the Apps desktop.
The App icons for the selected category appear on the Apps desktop.
Key Description
All
Icons for all installed Apps displayed. Not customizable.
English
Customizable category. English is the default.
SocialSt
Customizable category. SocialSt (social studies) is the default.
Math
Customizable category. Math is the default.
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Getting Started 32
Example: Select the All category.
If you select an Apps category containing no Apps, a message appears to confirm that the category is empty and point you to the ƒ
1:Edit Categories menu, where you can
add App shortcuts to the category. (See “Customizing the Apps
categories” on page 33.)
Press ¸ or N to clear the message and return to the Apps desktop.
2 ˆ
Graphing
Customizable category. Graphing is the default.
2 ‰ Science
Customizable category. Science is the default.
2 Š Organizr
Customizable category. Organizr (organizer) is the default.
Press Result
Key Description
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Getting Started 33
Customizing the Apps
Customizing the Apps Customizing the Apps
Customizing the Apps categories
categoriescategories
categories
The TI-89 Titanium organizes your Apps into seven categories, six of which you can customize to fit your individual needs. (The All category contains every installed App and cannot be edited.)
To customize the through 2Š Apps categories:
1. Select ƒ
1:Edit Categories. A submenu displays the six customizable Apps
category names. (The All category is not listed.)
2. Highlight an Apps category and press ¸. The Edit Categories dialog box
appears with a list of installed Apps and a text box with the category name highlighted.
3. To change the Apps category name, type the desired name.
Note: Enter a name of up to eight characters, including letters with or without
capitalization, numbers, punctuation, and accented characters.
4. To add or remove an App shortcut from the category, press D as required to
highlight the box next to the App, then press B to add or remove the check mark (9).
5. To save the changes and return to the Apps desktop, press ¸.
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Getting Started 34
Example: Replace the Social Studies category with the Business category and add the CellSheet and Finance App shortcuts.
Press Result
ƒ
B
2
– or –
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Getting Started 35
2
¤
Bus iness
D
©
B
D
©
B
Press Result
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Getting Started 36
Open Apps and split-screen status
Open Apps and split-screen statusOpen Apps and split-screen status
Open Apps and split-screen status
Your TI-89 Titanium lets you split the screen to view two Apps simultaneously. For example, view the Y= Editor and Graph screens simultaneously to see the list of functions and how they are graphed.
Select the Split Screen mode from Page 2 of the MODE screen. The TI-89 Titanium displays the selected Apps in the split-screen view as shown. Split the screen horizontally (top-bottom) or vertically (left-right).
¸
Press Result
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Getting Started 37
To return to the Apps desktop, press O. The split-screen status appears at the top of the Apps desktop with the names of the open Apps and the portions of the screen in which each is displayed. The highlighted numeral indicates the split-screen portion where the next App you open will appear.
Note: The Apps desktop always appears in the full-screen view.
Top-bottom split screen
Split-screen status (highlight indicates the portion where the next App selected will open.)
Names of open Apps
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Getting Started 38
More information is available about using split screens. (For more information, see the electronic Split Screens chapter.)
Checking status information
Checking status informationChecking status information
Checking status information
Look to the status line, located at the bottom of the screen, for information about the current state of your TI-89 Titanium.
Indicator Meaning
Ê Current folder
Name of the selected folder (MAIN is the default folder.)
Ë Modifier key Selected modifier key (2, 8, 7), if any.
Ì Angle mode
Selected units in which angle values are displayed and interpreted (RAD, DEG, GRAD)
Í Exact/Approx mode
Mode in which answers are calculated and displayed (AUTO, EXACT, APPROX)
Î Graph number
Active of two independent graphs in split­screen mode (GR#1, GR#2)
Ï Graph mode
Selected type of graph that can be plotted (FUNC, PAR, POL, SEQ, 3D, DE)
ÊË
Ì
Í
Î
Ï
Ð
Ñ
Ò
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Getting Started 39
Turning off the Apps desktop
Turning off the Apps desktopTurning off the Apps desktop
Turning off the Apps desktop
You can turn off the Apps desktop from the MODE dialog box. If you do, open Apps from the APPLICATIONS menu. To open the APPLICATIONS menu, press O.
Example: Turn off the Apps desktop.
Ð
Entry/Answer pairs
22/30–Number of entry/answer pairs (default is 30, maximum is 99) in the history area of the calculator Home screen.
Ñ Replace batteries
Displayed when batteries are low (BATT). If BATT is highlighted with a black background, change the batteries as soon as possible
().
Ò Busy/Pause,
Locked/Archived variable
BUSY–Calculation or graph is in progress PAUSE–You paused a graph or program
Œ–Variable opened in the current editor is
locked or archived and cannot be modified
Press Result
3
Indicator Meaning
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Getting Started 40
To turn on the Apps desktop, repeat the procedure, selecting ON in the Apps Desktop mode field. To return to the Apps desktop from the calculator Home screen, press O.
Using the clock
Using the clock Using the clock
Using the clock
Use the CLOCK dialog box to set the time and date, select the clock display format, and turn the clock off and on.
DDBC
¸¸
Note: The previous open App
appears (in this example, the calculator Home screen).
Press Result
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Getting Started 41
The clock is turned on by default. If you turn off the clock, all Clock dialog box options except Clock ON/OFF are grayed out.
Displaying the CLOCK dialog box
Displaying the CLOCK dialog boxDisplaying the CLOCK dialog box
Displaying the CLOCK dialog box
1. Use the cursor keys to highlight the Clock icon on the Apps desktop.
2. Press ¸. The CLOCK dialog box appears with the Time Format field highlighted.
Note: Because the CLOCK dialog box displays the settings current at the time you open
the dialog box, you might need to update the time before exiting.
Setting the time
Setting the timeSetting the time
Setting the time
1. Press B to open the list of time formats.
2. Press C or D to highlight an option, then press ¸. The selected format appears
in the Time Format field.
3. Press D to highlight the Hour field.
4. Type the hour, then press D to highlight the Minute field.
5. Type the minute(s).
6 indicates you
can scroll down for more options)
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Getting Started 42
6. If the time format is 24 hours, proceed to step 9.
— or — If the time format is 12 hours, press D to highlight the AM/PM field.
7. Press B to open the list of AM/PM options.
8. Press C or D to highlight an AM/PM option, then press ¸. The selected AM/PM
option appears.
9. Set the date (for procedures, see Setting the date).
— or — To save your settings and exit, press ¸. The time is updated in the top right
corner of the Apps desktop.
Setting the date
Setting the dateSetting the date
Setting the date
1. Press C or D as required to highlight the Date Format field.
2. Press B to open the list of date formats.
3. Press C or D to highlight an option, then press ¸. The selected format appears
in the Date Format field.
4. Press D to highlight the Year field.
5. Type the year, then press D to highlight the Month field.
6. Press B to open the list of months.
7. Press C or D to highlight an option, then press ¸. The selected month appears
in the Month field.
8. Press D to highlight the Day field.
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9. Type the day, then press ¸ ¸ to save your settings and exit. The date is
updated in the top right corner of the Apps desktop.
Example: Set the time and date to 19/10/02 (October 19, 2002) at 1:30 p.m.
Press Result
Use cursor keys to highlight
¸
D
1 D
Time and date
Page 44
Getting Started 44
30 D
BD
¸D
Press Result
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Getting Started 45
BD
¸D
2002
Press Result
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Getting Started 46
DB
Scroll down to October
and press ¸
D
19
Press Result
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Getting Started 47
Turning off the clock
Turning off the clockTurning off the clock
Turning off the clock
From the Apps desktop, open the CLOCK dialog box and select OFF in the Clock field.
Example: Turn off the clock.
¸¸
Press Result
Use cursor keys to highlight
Press Result
Revised time and date
Clock on
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Getting Started 48
To turn on the clock, repeat the procedure, selecting ON in the Clock field. Remember to reset the time and date.
¸
Scroll down to the Clock field.
BC ¸
¸
Press Result
Clock off
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Getting Started 49
Using menus
Using menusUsing menus
Using menus
To select most TI-89 Titanium menus, press the function keys corresponding to the toolbars at the top of the calculator Home screen and most App screens. Select other menus using key commands.
Toolbar menus
Toolbar menusToolbar menus
Toolbar menus
The starting point for TI-89 Titanium math operations, the calculator Home screen displays toolbar menus that let you choose math-related options.
Toolbar menus also appear at the top of most App screens. These menus list common functions of the active App.
Other menus
Other menusOther menus
Other menus
Use key commands to select the following menus. These menus contain the same options regardless of the screen displayed or the active App.
Press To display
2G
CHAR menu. Lists characters not available on the keyboard; characters are organized by category (Greek, math, punctuation, special, and international).
2I
MATH menu. Lists math operations by category.
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Selecting menu options
Selecting menu optionsSelecting menu options
Selecting menu options
Press the number or letter to the left of the option you want to select.
— or —
Press C or D to select the option, and press ¸.
Note: If the first menu option is selected, press C to select the last option on the menu. If
the last menu option is selected, press D to select the first option on the menu.
O
APPLICATIONS menu. Lists the installed Apps. (Menu is available only when the Apps desktop is turned off; Apps are normally accessed from the Apps desktop.)
8O
FLASH APPLICATIONS menu. Lists the installed Flash Apps. (Menu is available only when Apps desktop is turned off; Flash Apps are normally accessed from the Apps desktop.)
Press To display
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Getting Started 51
Example: Select factor( from the Algebra menu on the calculator Home screen.
Press Result
Press:
"
– or –
From the Apps desktop, use the
cursor keys to highlight
and press ¸
2
– or –
6 indicates
Algebra menu will open when you press
„.
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Getting Started 52
Selecting submenu options
Selecting submenu optionsSelecting submenu options
Selecting submenu options
A small arrow symbol (ú) to the right of a menu option indicates that selecting the option will open a submenu.
Example: Select
ord( from the MATH menu on the calculator Home screen.
Press Result
2I
$ points to
additional options.
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Getting Started 53
Using dialog boxes
Using dialog boxesUsing dialog boxes
Using dialog boxes
An ellipsis (…) at the end of a menu option indicates that choosing the option will open a dialog box. Select the option and press ¸.
D
– or –
CCB
B
– or –
Press Result
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Getting Started 54
Example: Open the SAVE COPY AS dialog box from the Window Editor.
Press Result
O
Use the cursor keys to highlight
and press ¸
ƒ
2
– or –
Press B to display a list of folders.
Type the name of the variable.
Press
¸ twice to save and
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Getting Started 55
Note: Pressing the 8 S key shortcut also opens the SAVE COPY AS dialog box in most
Apps.
Canceling a menu
Canceling a menuCanceling a menu
Canceling a menu
To cancel a menu without making a selection, press N.
Moving among toolbar menus
Moving among toolbar menusMoving among toolbar menus
Moving among toolbar menus
To move among the toolbar menus without selecting a menu option:
Press the function key (ƒ through Š) of a toolbar menu.
Press a function key, then press B or A to move from one toolbar menu to the next.
Press B from the last menu to move to the first menu. Press A to move from the first menu to the last menu.
Note: If you press B when a menu option with a submenu is selected, the submenu will
appear instead of the next toolbar menu. Press B again to move to the next menu.
More information is available about menus. (See the electronic Operating the Calculator chapter.)
Custom menu
Custom menuCustom menu
Custom menu
The custom menu provides quick access to your most commonly used options. Use the default custom menu or create your own using the Program Editor. You can include any available TI-89 Titanium command or character.
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The custom menu replaces the standard toolbar menu on the calculator Home screen. (For details on creating a custom menu, see the electronic Programming chapter.) More information is available about custom menus. (See the electronic Operating the Calculator chapter.)
Example: Turn on and turn off the custom menu from the calculator Home screen.
Example: Restore the default custom menu.
Press Result
2F
2F
Default custom menu
Normal toolbar menu
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Getting Started 57
Note: Restoring the default custom menu erases the previous custom menu. If you
created the previous custom menu with a program, you can run the program again to reuse the menu.
Press Result
2F
(to turn off the custom menu and
turn on the standard toolbar
menu)
2 ˆ
3
– or –
DD¸
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Getting Started 58
Opening Apps with the Apps desktop turned off
Opening Apps with the Apps desktop turned offOpening Apps with the Apps desktop turned off
Opening Apps with the Apps desktop turned off
If you turn off the Apps desktop, use the APPLICATIONS menu to open Apps. To open the APPLICATIONS menu with the Apps desktop off, press O.
Note: If you press O with the Apps desktop turned on, the Apps desktop will appear
instead of the APPLICATIONS menu.
Example: With the Apps desktop turned off, open the Window Editor from the APPLICATIONS menu.
¸
Press Result
O
Press Result
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Getting Started 59
To access Apps not listed on the APPLICATIONS menu, select 1:FlashApps.
Using split screens
Using split screensUsing split screens
Using split screens
The TI-89 Titanium lets you split the screen to show two Apps at the same time. For example, display both the Y= Editor and Graph screens to compare the list of functions and how they are graphed.
Setting split-screen mode
Setting split-screen modeSetting split-screen mode
Setting split-screen mode
You can split the screen either top to bottom or left to right from the MODE dialog box. The split-screen setting stays in effect until you change it.
1. Press 3 to display the MODE dialog box.
2. Press to display the Split Screen mode setting.
3. Press B to open the Split Screen mode menu.
4. Press D as required to highlight either TOP-BOTTOM or LEFT-RIGHT.
5. Press ¸. The Split Screen mode setting displays the option you selected.
6. Press ¸ again to save this change and display the split screen.
3
– or –
DD¸
Press Result
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Getting Started 60
Example: Set split-screen mode to TOP-BOTTOM.
Press Result
3
BD
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Getting Started 61
Setting the initial Apps for split screen
Setting the initial Apps for split screenSetting the initial Apps for split screen
Setting the initial Apps for split screen
After you select either TOP-BOTTOM or LEFT-RIGHT split-screen mode, additional mode settings become available.
¸
¸
Press Result
Full-screen mode Split-screen mode
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Getting Started 62
To set the initial App for each split-screen portion:
1. Select the Split 1 App mode setting and press B to display a menu of available
Apps. (See “Setting split-screen mode
” on page 59.)
2. Press D or C to highlight the App and press ¸.
3. Repeat steps 1 and 2 for the Split 2 App mode setting.
Example: Display the Y= Editor in the top screen and the Graph App in the bottom screen.
Mode Description
Split 2 App Lets you specify the App displayed in the bottom or
right portion of the split screen. Works together with Split 1 App, which lets you specify the App displayed in the top or left portion of the split screen.
Number of Graphs Lets you set up and display two independent graphs.
Press Result
DB
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Getting Started 63
2
DB
4
¸
Press Result
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Getting Started 64
If you set Split 1 App and Split 2 App to the same nongraphing App or to the same graphing App with Number of Graphs set to 1, the TI-89 Titanium exits split-screen mode and displays the App in full-screen mode.
Selecting the active App
Selecting the active App Selecting the active App
Selecting the active App
In split-screen mode, only one App can be active at a time.
To switch between active Apps, press 2a.
To open a third App, press O and select the App. This App replaces the active
split-screen App.
Exiting split-screen mode
Exiting split-screen modeExiting split-screen mode
Exiting split-screen mode
Exit split-screen mode in any of the following ways:
Press 2 K to close the active App and display the full-screen view of the other
open App.
If the Apps desktop is turned off, pressing 2 K replaces the active split-screen
App with the calculator Home screen. Pressing 2K again turns off the split- screen mode and displays the calculator Home screen in full-screen mode.
Select Split Screen on Page 2 of the MODE dialog box, set split-screen mode to
FULL, and press ¸.
Press 2 K twice to display the Apps desktop
More information is available about using split screens. (See the electronic Split Screens chapter.)
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Managing Apps and operating system (OS) versions
Managing Apps and operating system (OS) versionsManaging Apps and operating system (OS) versions
Managing Apps and operating system (OS) versions
Using the TI-89 Titanium connectivity features, you can download Apps from:
The TI Educational & Productivity Solutions (E&PS) Web site at:
education.ti.com/latest
The CD-ROM included with your TI-89 Titanium.
A compatible graphing calculator.
Adding Apps to your TI-89 Titanium is like loading software on a computer. All you need is TI Connect software and the USB computer cable that came with your TI-89 Titanium.
For system requirements and instructions to link to compatible calculators and download TI Connect software, Apps, and OS versions, see the TI E&PS Web site.
Before downloading Apps to your TI-89 Titanium, please read the license agreement on the CD-ROM or TI Web site.
Finding the OS version and identification (ID) numbers
Finding the OS version and identification (ID) numbers Finding the OS version and identification (ID) numbers
Finding the OS version and identification (ID) numbers
If you purchase software from the TI E&PS Web site or call the customer support number, you will be asked to provide information about your TI-89 Titanium. You will find this information on the ABOUT screen.
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To display the ABOUT screen, press ƒ 3:About from the Apps desktop. The ABOUT screen displays the following information about your TI-89 Titanium:
Ê OS version
Ë Hardware version
Ì Unit ID (required to obtain certificates for installing purchased Apps). Similar to a serial
number. Write this number down and keep it in a safe place in case the calculator is ever lost or stolen.
Í Apps certificate revision number (Cert. Rev.)
Î Product identifier (Product ID). Similar to a model number.
Note that your screen will be different than the one shown above.
Ë
Ì
Ê
Î
Í
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Getting Started 67
Deleting an Application
Deleting an ApplicationDeleting an Application
Deleting an Application
Deleting an application removes it from the TI-89 Titanium and increases space for other applications. Before deleting an application, consider storing it on a computer for reinstallation later.
1. Quit the application.
2. Press 2° to display the VAR-LINK (All) screen.
3. Press 2 ‰ to display the list of installed applications.
4. Select the application you want to delete by pressing . (Press again to
deselect.)
5. Press ƒ
1:Delete. The VAR-LINK delete confirmation dialog box displays.
6. Press ¸ to delete the application.
Note: Only Flash Apps can be deleted.
Connecting your
Connecting your Connecting your
Connecting your TI-89 Titanium
TI-89 TitaniumTI-89 Titanium
TI-89 Titanium to other devices
to other devices to other devices
to other devices
The TI-89 Titanium includes both a mini-USB port and a standard I/O port. Ports are used to link two compatible graphing calculators or connect to a computer or peripheral device.
In addition, the teacher model of the TI-89 Titanium includes an accessory port. This port is used to output visual data so that a classroom can view the calculator’s display on a video device or overhead screen.
To connect your calculator to a computer – Connect your TI-89 Titanium using the USB port and the included USB computer cable.
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To connect your calculator to another calculator – Use the USB unit-to-unit cable or an I/O unit-to-unit cable to connect the TI-89 Titanium to a compatible graphing calculator or peripheral device, such as a TI-89 or TI-92 Plus graphing calculator or the CBL 2™ and CBR™ systems.
To show your calculator’s display to the classroom – Use the accessory port to connect the TI-Presenter™ video adapter to the teacher model of the TI-89 Titanium. The TI-Presenter video adapter provides a video interface between the calculator and video display or recording devices. Or use the accessory port to connect the TI ViewScreen overhead panel to your calculator. The TI ViewScreen overhead panel enlarges and projects the display so an entire class can view it. For more information about the TI-Presenter video adapter and TI ViewScreen panel, see the TI E&PS Web site at education.ti.com
.
I/O portUSB port
TI-89 Titanium ports
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Batteries
BatteriesBatteries
Batteries
The TI-89 Titanium uses four AAA alkaline batteries and a backup silver oxide battery (SR44SW or 303). The backup battery is already installed, and the AAA batteries are provided with your product.
Important OS download information
Important OS download informationImportant OS download information
Important OS download information
New batteries should be installed before beginning an OS download.
When in OS download mode, the APD feature does not function. If you leave your calculator in download mode for an extended time before you actually start the download, your batteries may become depleted. You will then need to replace the depleted batteries with new batteries before downloading.
Accessory port
I/O portUSB port
TI-89 Titanium ports (teacher model)
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You can also transfer the OS to another TI-89 Titanium using a USB unit-to-unit cable . If you accidentally interrupt the transfer before it is complete, you will need to reinstall the OS via a computer. Again, remember to install new batteries before downloading.
Please contact Texas Instruments as described in Service & Support Information, if you experience a problem.
Battery Precautions
Battery PrecautionsBattery Precautions
Battery Precautions
Take these precautions when replacing batteries:
Do not leave batteries within the reach of children.
Do not mix new and used batteries. Do not mix brands (or types within brands) of
batteries.
Do not mix rechargeable and non-rechargeable batteries.
Install batteries according to polarity (+ and –) diagrams.
Do not place non-rechargeable batteries in a battery recharger.
Properly dispose of used batteries immediately.
Do not incinerate or dismantle batteries.
Installing the AAA Batteries
Installing the AAA BatteriesInstalling the AAA Batteries
Installing the AAA Batteries
1. Remove the battery cover from the back of the calculator.
2. Unwrap the four AAA batteries provided with your product and insert them in the
battery compartment. Arrange the batteries according to the polarity (+ and -) diagram in the battery compartment.
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3. Replace the battery cover on the calculator. The cover should snap into place.
Replacing the AAA (alkaline) batteries
Replacing the AAA (alkaline) batteriesReplacing the AAA (alkaline) batteries
Replacing the AAA (alkaline) batteries
As the batteries lose power, the display begins to dim, especially during calculations. If you find yourself increasing the contrast frequently, replace the AAA alkaline batteries.
The status line also gives battery information.
Before replacing the batteries, turn off the TI-89 Titanium by pressing 2® to avoid losing information stored in memory. Do not remove both the back-up battery and the AAA alkaline batteries at the same time.
Indicator Meaning
Batteries are low.
Replace batteries as soon as possible.
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Replacing the backup (silver oxide) battery
Replacing the backup (silver oxide) batteryReplacing the backup (silver oxide) battery
Replacing the backup (silver oxide) battery
1. To replace the silver oxide backup battery, remove the battery cover and unscrew
the tiny screw holding the BACK UP BATTERY cover in place.
2. Remove the old battery and install a new SR44SW or 303 battery, positive (+) side
up. Replace the cover and the screw.
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Previews
PreviewsPreviews
Previews
Performing Computations
Performing ComputationsPerforming Computations
Performing Computations
This section provides several examples for you to perform from the Calculator Home screen that demonstrate some of the computational features of the TI-89 Titanium. The history area in each screen was cleared by pressing ƒ and selecting
8:Clear Home,
before performing each example, to illustrate only the results of the example’s keystrokes.
Showing Computations
Showing ComputationsShowing Computations
Showing Computations
Steps and keystrokes Display
Compute sin(p/4) and display the result in symbolic and numeric format. To clear the history area of previous calculations, press ƒ and select
8:Clear Home.
Press 2 W 2 T e 4 d ¸ 8 ‘
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Finding the Factorial of Numbers
Finding the Factorial of NumbersFinding the Factorial of Numbers
Finding the Factorial of Numbers
Expanding Complex Numbers
Expanding Complex NumbersExpanding Complex Numbers
Expanding Complex Numbers
Steps and keystrokes Display
Compute the factorial of several numbers to see how the TI-89 Titanium handles very large integers. To get the factorial operator (!), press 2I, select
7:Probability, and then
select
1:!.
Press 5 2 I 7 1 ¸ 20 2 I 7 1 ¸ 30 2 I 7 1 ¸
Steps and keystrokes Display
Compute (3+5i)3 to see how the TI-89 Titanium handles computations involving complex numbers.
Press c 3 « 5 2 ) d Z 3 ¸
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Finding Prime Factors
Finding Prime FactorsFinding Prime Factors
Finding Prime Factors
Finding Roots
Finding RootsFinding Roots
Finding Roots
Steps and keystrokes Display
Compute the factors of the rational number
2634492. You can enter “factor” on the entry line by typing
FACTOR on the keyboard, or by
pressing and selecting
2:factor(.
Press 2 2634492 d ¸
(Optional) Enter other numbers on your own.
Steps and keystrokes Display
Find the root of the expression (x,y). You can enter “root” on the entry line by typing
ROOT
on the keyboard, or by pressing 8 9.
This example illustrates using the root function and how the expression is displayed in “pretty print” in the history area.
Press 8 9 X b Y d ¸
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Expanding Expressions
Expanding ExpressionsExpanding Expressions
Expanding Expressions
Reducing Expressions
Reducing ExpressionsReducing Expressions
Reducing Expressions
Steps and keystrokes Display
Expand the expression (xN5)3. You can enter “expand” on the entry line by typing
EXPAND
on the keyboard, or by pressing and selecting
3:expand(.
Press 3 c X | 5 d Z 3 d ¸
(Optional) Enter other expressions on your own.
Steps and keystrokes Display
Reduce the expression (x2N2xN5)/(xN1) to its simplest form. You can enter “propFrac” on the entry line by typing
PROPFRAC on the
keyboard, or by pressing and selecting
7:propFrac(.
Press 7 c X Z 2 | 2 X | 5 d e c X | 1 d d ¸
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Factoring Polynomials
Factoring PolynomialsFactoring Polynomials
Factoring Polynomials
Solving Equations
Solving EquationsSolving Equations
Solving Equations
Steps and keystrokes Display
Factor the polynomial (x2N5) with respect to x. You can enter “factor” on the entry line by typing
FACTOR on the keyboard or by
pressing and selecting
2:factor(.
Press 2 X Z 2 | 5 b X d ¸
Steps and keystrokes Display
Solve the equation x2N2xN6=2 with respect to x.
You can enter “
solve(” on the entry line by
selecting
solve(” from the Catalog menu, by
typing
SOLVE( on the keyboard, or by
pressing and selecting
1:solve(.
The status line area shows the required syntax for the marked item in the
Catalog
menu.
Press 1 X Z 2 | 2 X | 6 Á 2 b X d
¸
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Solving Equations with a Domain Constraint
Solving Equations with a Domain ConstraintSolving Equations with a Domain Constraint
Solving Equations with a Domain Constraint
Solving Inequalities
Solving InequalitiesSolving Inequalities
Solving Inequalities
Steps and keystrokes Display
Solve the equation x2N2xN6=2 with respect to x where x is greater than zero. The “with” (I) operator provides domain constraint.
Press 1 X Z 2 | 2 X | 6 Á 2 b X d Í X 2 Ã 0 ¸
Steps and keystrokes Display
Solve the inequality (x2>1,x) with respect to x.
Press 1XZ 2 2Ã1 d¸
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Finding the Derivative of Functions
Finding the Derivative of FunctionsFinding the Derivative of Functions
Finding the Derivative of Functions
Finding Implicit Derivatives
Finding Implicit DerivativesFinding Implicit Derivatives
Finding Implicit Derivatives
Steps and keystrokes Display
Find the derivative of (xNy)3/(x+y)2 with respect to x.
This example illustrates using the calculus differentiation function and how the function is displayed in “pretty print” in the history area.
Press 2 = c X | Y d Z 3 e c X « Y d Z 2 b X d ¸
Steps and keystrokes Display
Compute implicit derivatives for equations in two variables in which one variable is defined implicitly in terms of another.
This example illustrates using the calculus implicit derivative function.
Press D X Z 2 « Y Z 2 Á 100 bX b Y
d ¸
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Finding the Integral of Functions
Finding the Integral of FunctionsFinding the Integral of Functions
Finding the Integral of Functions
Solving Problems Involving Vectors
Solving Problems Involving VectorsSolving Problems Involving Vectors
Solving Problems Involving Vectors
Steps and keystrokes Display
Find the integral of xsin(x) with respect to x.
This example illustrates using the calculus integration function.
Press 2 < X p 2 W X d b X d ¸
Steps and keystrokes Display
1. Input a row or column of vectors.
Press 2 g ? 6 b 0 b 0 2 h §
j d ¸2 g 4 b 0 b 2 2 h § j a ¸2 g ? 1 b 2 b 1 2 h § j b ¸2 g
7 b 6 b 5 2 h § j c ¸
2. Solve (x* a+y*b+z*c=d {x,y,z})
Press „ 1 X p j a « y p j b « z
p j c Á j d b 2 [ X b Y b Z 2 \ d ¸
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Log to Any Base
Log to Any BaseLog to Any Base
Log to Any Base
Converting Angle Measures
Converting Angle MeasuresConverting Angle Measures
Converting Angle Measures
Steps and keystrokes Display
Find log (x,b). You can enter “log” on the entry line by typing
LOG on the keyboard, or by
pressing 8 7.
Press
8 7 X , j b d ¸
Steps and keystrokes Display
1. Display the MODE dialog box. For Angle
mode select
DEGREE. Convert 345
degrees to Gradian angle measure. You can enter “ ú
Grad ” on the entry line
by selecting “ ú
Grad ” from the Catalog
menu, or from the Math menu by pressing 2 I and selecting
2:angle, A:úGrad.
Press 3 D D D B 2 ¸ 345 2
v 2 I 2 j A ¸
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Symbolic Manipulation
Symbolic ManipulationSymbolic Manipulation
Symbolic Manipulation
Solve the system of equations 2x N 3y = 4 and Lx + 7y = L12. Solve the first equation so that x is expressed in terms of y. Substitute the expression for x into the second
2. Convert 345 degrees to Radian angle
measure. You can enter “ ú
Rad ” on the entry line by
selecting “ ú
Rad ” from the Catalog menu,
or from the Math menu by pressing 2 I and selecting
2:angle, B:úRad.
Press 3 D D D B 2 ¸ 345 2 v 2 I 2 j B ¸
Note: You can also use ó,ô, or
G
to override the angle mode setting temporarily.
Steps and keystrokes Display
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equation, and solve for the value of y. Then substitute the y value back into the first equation to solve for the value of x.
Steps and keystrokes Display
1. Display the Home screen and clear the entry line. Solve the equation 2x N 3y = 4 for x.
1 selects solve( from the Algebra
menu. You can also type
solve( directly
from the keyboard or select it from the
Catalog.
Press " M M „ 1 2 X | 3 Y Á 4 b X d ¸
2. Begin to solve the equation Lx+7y=L12 for y, but do not press ¸ yet.
Press 1 ? X « 7 Y Á ? 12 b Y d
3. Use the “with” operator to substitute the expression for x that was calculated from the first equation. This gives the value of y.
The “with” operator is displayed as | on the screen.
Use the auto-paste feature to highlight the last answer in the history area and paste it to the entry line.
Press Í C ¸ ¸
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This example is a demonstration of symbolic manipulation. A one-step function is available for solving systems of equations.
Constants and Measurement Units
Constants and Measurement UnitsConstants and Measurement Units
Constants and Measurement Units
Using the equation f = ma, calculate the force when m = 5 kilograms and a = 20 meters/second
2
. What is the force when a = 9.8 meters/second2. (This is the
4. Highlight the equation for x in the history area.
Press C C C
5. Auto-paste the highlighted expression to the entry line. Then substitute the value of y that was calculated from the second equation.
Press ¸ Í C ¸ ¸ The solution is:
x = L8/11 and y = L20/11
Steps and keystrokes Display
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acceleration due to gravity, which is a constant named _g). Convert the result from newtons to kilograms of force.
Steps and keystrokes Display
1. Display the MODE dialog box, Page 3. For
Unit System mode, select SI for the metric
system of measurements. Results are displayed according to these
default units. Press 3 … B 1 ¸
2. Create an acceleration unit for meters/second
2
named _ms2.
The
UNITS dialog box lets you select units
from an alphabetical list of categories. You can use 2D and 2C to scroll one page at a time through the categories.
If you use the
UNITS dialog box to select a
unit, the _ is entered automatically. Now, instead of re-entering _m/_s
2
each time you need it, you can use _ms2. Also, you can now use the
UNITS dialog box to
select _ms2 from the Acceleration category.
Press 2 À D B M ¸ e 2
À D D D D B S ¸ Z 2 9 8 5 2 MS j 2 ¸
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Basic Function Graphing I
Basic Function Graphing I Basic Function Graphing I
Basic Function Graphing I
The example in this section demonstrates some of the graphing capabilities of the TI-89 Titanium keystrokes. It illustrates how to graph a function using the
Y= Editor. You will
3. Calculate the force when m = 5 kilograms (_kg) and
a = 20 meters/second
2
(_ms2).
If you know the abbreviation for a unit, you can type it from the keyboard.
Press 5 8 5 2 KG j p 20 8 5 2 MS j 2 ¸
4. Using the same m, calculate the force for an acceleration due to gravity (the constant _g).
For _g, you can use the pre-defined constant available from the
UNITS dialog
box or you can type _g. Press 5 8 5 2 KG j p 2
À B j G ¸ ¸
5. Convert to kilograms of force (_kgf). 2 4 displays the 4 conversion operator. Press B 2 4 8 5 2 KGF
j ¸
Steps and keystrokes Display
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learn how to enter a function, produce a graph of the function, trace a curve, find a minimum point, and transfer the minimum coordinates to the Home screen.
Explore the graphing capabilities of the TI-89 Titanium by graphing the function y=(|x
2
N3|N10)/2.
Steps and keystrokes Display
1. Display the Y= Editor. Press 8 #
2. Enter the function
(abs(x
2
N3)N10)/2.
The screen shot shows the “pretty print” display at
y1=.
Press c ½ A ¸ X Z 2 | 3 d | 1 0 d e 2 ¸
3. Display the graph of the function. Select
6:ZoomStd by pressing 6 or by
moving the cursor to
6:ZoomStd and
pressing ¸. Press 6
entry line
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4. Turn on Trace. The tracing cursor, and the x and y
coordinates are displayed. Press
5. Open the
MATH menu and select
3:Minimum.
Press ‡ D D ¸
6. Set the lower bound. Press B (right cursor) to move the tracing
cursor until the lower bound for x is just to the left of the minimum node before pressing ¸ the second time.
Press B ... B ¸
7. Set the upper bound. Press B (right cursor) to move the tracing
cursor until the upper bound for x is just to the right of the minimum node.
Press B ... B
Steps and keystrokes Display
tracing cursor
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Basic Function Graphing II
Basic Function Graphing II Basic Function Graphing II
Basic Function Graphing II
Graph a circle of radius 5, centered on the origin of the coordinate system. View the circle using the standard viewing window (
ZoomStd). Then use ZoomSqr to adjust the
viewing window.
8. Find the minimum point on the graph between the lower and upper bounds.
Press ¸
9. Transfer the result to the Home screen, and then display the Home screen.
Press 8 ? "
Steps and keystrokes Display
1. Display the MODE dialog box. For Graph mode, select
FUNCTION.
Press 3 B 1 ¸
Steps and keystrokes Display
minimum point
minimum coordinates
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2. Display the Home screen. Then store the radius, 5, in variable r.
Press " 5 9 j R ¸
3. Display and clear the
Y= Editor. Then
define y1(x) = , the top half of a circle.
In function graphing, you must define separate functions for the top and bottom halves of a circle.
Press 8 # , 8 ¸ ¸ 2 ] j R Z 2 | X Z 2 d ¸
4. Define y2(x) = , the function for the bottom half of the circle.
The bottom half is the negative of the top half, so you can define y2(x) = Ly1(x).
Use the full function name
y1(x), not
simply y1. Press ¸ ? Y 1 c X d ¸
Steps and keystrokes Display
5!r
r
2
x
2
()
r
2
x2–
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Note: There is a gap between the top and bottom halves of the circle because each half
is a separate function. The mathematical endpoints of each half are (L5,0) and (5,0). Depending on the viewing window, however, the plotted endpoints for each half may be slightly different from their mathematical endpoints.
5. Select the
ZoomStd viewing window,
which automatically graphs the functions.
In the standard viewing window, both the x and y axes range from L10 to 10. However, this range is spread over a longer distance along the x axis than the y axis. Therefore, the circle appears as an ellipse.
Press 6
6. Select
ZoomSqr.
ZoomSqr increases the range along the
x axis so that circles and squares are shown in correct proportion.
Press 5
Steps and keystrokes Display
Notice slight gap between top and bottom halves.
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Basic Function Graphing III
Basic Function Graphing IIIBasic Function Graphing III
Basic Function Graphing III
Use the “Detect Discontinuities” graph format to eliminate faux asymptotes and connections in a jump discontinuity.
Steps and keystrokes Display
1. Display the MODE dialog box. For Graph mode, select
FUNCTION. For Angle mode,
select
RADIAN.
Press 3 B 1 D D D B 1 ¸
2. Open the Y= Editor and enter y1(x)=1/(x-
1). Press 8 # 1 e c X | 1 d ¸
3. Display the Graph Formats dialog box and set “Detect Discontinuities” to OFF
Note: The second item on the Graph
Format dialog is not greyed out, which means it can be set to sequential “Seq” or simultaneous “Simul”.
Press 8 Í D D D D D D B 1 ¸q
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4. Execute the Graph command, which automatically displays the Graph screen. Observe the “faux” asymptotes contained in the graph.
Press 8 %q
5. Display the Graph Formats dialog box and set “Detect Discontinuities” to ON.
Note: The second item on the Graph
Format dialog is greyed out, which means the graph order is set to sequential “Seq”.
Press 8 Í D D D D D D B 2 ¸
6. Execute the
Graph command, which
automatically displays the Graph screen. No”faux” asymptotes are present on the graph.
Note: Graphing speed may slow
considerably when “Detect Discontinuities” is set to ON.
Press 8 %(q
Steps and keystrokes Display
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Parametric Graphing
Parametric GraphingParametric Graphing
Parametric Graphing
Graph the parametric equations describing the path of a ball kicked at an angle (q) of 60¡ with an initial velocity (v
0
) of 15 meters/sec. The gravity constant g = 9.8 meters/sec2.
Ignoring air resistance and other drag forces, what is the maximum height of the ball and when does it hit the ground?
Steps and keystrokes Display
1. Display the MODE dialog box. For Graph mode, select
PARAMETR IC.
Press 3 B 2 ¸
2. Display and clear the
Y= Editor. Then
define the horizontal component xt1(t) = v
0
t cos q.
Enter values for v
0
and q.
Press 8 # , 8 ¸ ¸ 15T p 2 X 60 2 d ¸
Type T p 2 X, not T 2 X. Enter a ¡ symbol by typing either 2“
or 2I2 1. This ensures a number is interpreted as degrees, regardless of the angle mode.
xt1(t)=15tcos(60¡)
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3. Define the vertical component yt1(t) = v
0
tsinqN(g/2)t2.
Enter values for v
0
, q, and g.
Press ¸ 15T p 2 W 60 2 “ d | c 9.8 e 2 d T Z 2 ¸
4. Display the
Window Editor. Enter
Window variables appropriate for this example.
You can press either D or ¸ to enter a value and move to the next variable.
Press 8 $ 0 D 3 D .02 D ? 2 D 25 D 5 D ? 2 D 10 D 5
5. Graph the parametric equations to model the path of the ball.
Press 8 %
6. Select
Trace. Then move the cursor
along the path to find the:
y value at maximum height.
t value where the ball hits the
ground.
Press … B or A as necessary
Steps and keystrokes Display
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Polar Graphing
Polar Graphing Polar Graphing
Polar Graphing
The graph of the polar equation r1(q) = A sin Bq forms the shape of a rose. Graph the rose for A=8 and B=2.5. Then explore the appearance of the rose for other values of A and B.
Steps and keystrokes Display
1. Display the MODE dialog box. For Graph mode, select
POLAR. For Angle mode,
select
RADIAN.
Press 3 B 3 D D D B 1 ¸
2. Display and clear the
Y= Editor. Then
define the polar equation r1(q)=Asin Bq. Enter 8 and 2.5 for A and B, respectively. Press 8 # , 8 ¸ ¸ 8 2 W
2.5 8 Ï d ¸
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3. Select the ZoomStd viewing window, which graphs the equation.
The graph shows only five rose
petals.
- In the standard viewing window, the Window variable qmax = 2p. The remaining petals have q values greater than 2p.
The rose does not appear symmetrical.
- Both the x an y axes range from
L10 to 10. However, this range is spread over a longer distance along the x axis than the y axis.
Press 6
4. Display the
Window Editor, and change
qmax to 4p. 4p will be evaluated to a number when
you leave the
Window Editor.
Press 8 $ D 4 2 T
Steps and keystrokes Display
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Sequence Graphing
Sequence Graphing Sequence Graphing
Sequence Graphing
A small forest contains 4000 trees. Each year, 20% of the trees will be harvested (with 80% remaining) and 1000 new trees will be planted. Using a sequence, calculate the number of trees in the forest at the end of each year. Does it stabilize at a certain number?
5. Select
ZoomSqr, which regraphs the
equation.
ZoomSqr increases the range along the
x axis so that the graph is shown in correct proportion.
Press 5
You can change values for A and B as necessary and regraph the equation.
Initially After 1 Year After 2 Years After 3 Years . . .
4000 .8 x 4000
+ 1000
.8 x (.8 x 4000 +
1000) + 1000
.8 x (.8 x (.8 x 4000 + 1000) +
1000) + 1000
. . .
Steps and keystrokes Display
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Steps and keystrokes Display
1. Display the MODE dialog box. For Graph mode, select
SEQUENCE.
Press 3 B 4 ¸
2. Display and clear the
Y= Editor. Then
define the sequence as u1(n) = iPart(.8u1(nN1)+1000).
Use
iPart to take the integer part of the
result. No fractional trees are harvested. To access
iPart(, you can use 2I,
simply type it, or select it from the
CATALOG.
Press 8 # , 8 ¸ ¸ 2 I 1 4 . 8 j U1 c j N | 1 d « 1000 d ¸
3. Define ui1 as the initial value that will be used as the first term.
Press ¸ 4000 ¸
4. Display the
Window Editor. Set the n and
plot Window variables.
nmin=0 and nmax=50 evaluate the size of
the forest over 50 years. Press 8 $ 0 D 50 D 1 D 1 D
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5. Set the x and y Window variables to appropriate values for this example.
Press 0 D 50 D 10 D 0 D 6000 D 1000
6. Display the Graph screen. Press 8 %
7. Select
Trace. Move the cursor to trace
year by year. How many years (nc) does it take the number of trees (yc) to stabilize?
Trace begins at nc=0. nc is the number of years. xc = nc since n is plotted on the x axis. yc = u1(n), the number of trees at year n.
Press … B and A as necessary
Steps and keystrokes Display
By default, sequences use the Square display style.
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