Texas Instruments Ti 85 User Manual

2021. 5. 27. 10:18카테고리 없음

Summary of the content on the page No. 1

PART B
TEXAS INSTRUMENTS TI-85/TI-86 GRAPHING
CALCULATORS
Setup
When using this Guide, you should always, unless instructed otherwise, use the calculator setup
specified below for both the TI-85 and TI-86. Before you begin, check the basic setup with
2nd MORE (MODE) . Use the following instructions to choose the settings shown in Figure 1. Check
the window format with GRAPH MORE F3 (FORMT) . Choose the settings shown in Figure 2.
¥ If you do not have the darkened choices shown in Figur

Summary of the content on the page No. 2

B-2 TI-85/TI-86 Graphing Calculators , , , ALPHA 7 (L) 2 ALPHA 7 (L) 3 ALPHA 7 (L) 4 ALPHA 7 (L) 5 ENTER . (See Figure 4.) Press EXIT or 2nd EXIT (QUIT) to return to the home screen. TI-85 Statistical Setup TI- 86 Statistical Setup FIGURE 3 FIGURE 4 TI-86 Note: Because appropriate TI-86 computer linking software had not yet been perfected at the time this material was written, TI-86 screens in this Guide appear smaller than the TI- 85 screens. Screens that

Summary of the content on the page No. 3

Jul 19, 2012  The Texas Instruments TI-85 has been designed as a graphing calculator for engineering and calculus students; yet it is versatile enough for other math applications. Designed with students of higher math in mind, the TI-85 is a scientific calculator that offers a wealth of features and functions that will take you smoothly from pre. Featuring several top brands. We provide free PDF manual downloads for several leading Calculator manufacturers, including: Ativa, Canon, Casio, Radio Shack, Sharp, Texas Instruments, - VIEW ALL -. Most Popular Manuals. There are no differences between the TI-60 manufactured in Italy or an US-built TI-60. If you are interested in the calculating accuracy of scientific calculators don't miss the Calculator forensics. Like usual there is a counterpart for financial purposes, don't miss the rare BA-III calculator. The TI-60 is featured in the Texas Instruments Incorporated bulletin CL-899 dated 1986. Page 341 Appendix B: Reference Information This appendix provides supplemental information that may be helpful as you use the TI.85. It includes procedures that may help you correct problems with the calculator, and it describes the service and warranty provided by Texas Instruments.

Chapter 1 B-3 - 1 æ ö 1 Calculate using this nice shortcut. ç ÷ 895 ç ÷ 4*15 + è ø 7 (If you wish to clear the home screen, press CLEAR .) 3. ANSWER DISPLAY When the denominator of a fraction has no more than three digits, your calculator can provide the answer in fraction form. When an answer is very large or very small, the calculator displays the result in scientific notation. The Òto a fractionÓ key is obtained by pressing 2nd 5 (MATH) F5 (MISC) MORE F1 ( Frac) . 12 The cal

TI-86, TI-85 The TI-86 is a good choice for a graphing calculator to use while learning from Precalculus. The older TI-85 will do most of the activities presented here, but it lacks some editing and statistical features of the newer model. The biggest improvements in the TI-86 are the increased memory and the ability to load and run assembly.

Summary of the content on the page No. 4

B-4 TI-85/TI-86 Graphing Calculators Choose F1 (Goto) to position the cursor to the place the error occurred so that you can correct the mistake or choose F5 (Quit) to begin a new line on the home screen. Copyright © Houghton Mifflin Company. All rights reserved.

Summary of the content on the page No. 5

Chapter 1 Ingredients of Change: Functions and Linear Models & 1.1 Fundamentals of Modeling There are many uses for a function that is entered in the graphing list. Graphing the function in an appropriate viewing window is one of these. Because you must enter all functions on one line (that is, you cannot write fractions and exponents the same way you do on paper) it is very important to have a good understanding of the calculatorÕs order of operations and to use parentheses whenever they ar

Summary of the content on the page No. 6

B-6 TI-85/TI-86 Graphing Calculators Remove the lower menu with EXIT , and press F3 (ZOOM) MORE F4 (ZDECM) . Notice that the graphics screen is blank. TI-85 Press EXIT F2 (RANGE) to see the view set by ZDECM. TI-86 Press EXIT F2 (WIND) to see the view set by ZDECM. ¥ Both xMin and xMax are the settings of the left and right edges of the viewing screen, and yMin and yMax are the settings for the lower and upper edges of the viewing screen. xScl and yScl set the spacing betwee

Summary of the content on the page No. 7

Chapter 1 B-7 Both Press F5 (GRAPH) to draw the graph of y1 = 1000(1 + 0.05^x) in the new view. CLEAR removes the menu from the bottom of the screen if you wish to see more of the graph. Copyright © Houghton Mifflin Company. All rights reserved.

Summary of the content on the page No. 8

B-8 TI-85/TI-86 Graphing Calculators 1.1.4 AUTOMATICALLY CHANGING THE VIEW OF THE GRAPH If your view of the graph is not good or if you do not see the graph, change the view using the built-in autoscaling feature of your calculator. This option will automatically find a view to see all the functions that you have turned on in the graphing list. x Be sure the function you are graphing, y = 1000(1 + 0.05) , is entered in the y1 location of the y(x)= list. (Delete all other functions tha

Summary of the content on the page No. 9

Chapter 1 B-9 x Estimate the value of A where A = 1000(1 + 0.05) when x = 5, x = 7, and x = 10. Press EXIT F2 (RANGE) (or WINDOW) . If you do not have the settings shown to the right, reset the values. Press F3 (ZOOM) F3 (ZOUT) . After the graph finishes drawing, press ENTER to once more enlarge your view of the graph. (Press EXIT F2 (RANGE) and observe the values Note that (5, 1450) is a point now defining the graphics screen.) on the screen, not a point on the graph of the function

Summary of the content on the page No. 10

B-10 TI-85/TI-86 Graphing Calculators Press ENTER to display the output and see the point marked on the graph of the function. Repeat this process to find the outputs when x = 7 and x = 10. To evaluate an output from the home screen: First, press EXIT until you are on the home screen. Store the input value, say 5, in x by with 5 STO x-VAR ENTER . Next, type the location in the y(x)= list in which the function is stored with 2nd ALPHA 0 (y) 1. Note that the second

Summary of the content on the page No. 11

Chapter 1 B-11 Evaluate y1 at x = 7 by recalling the previous entry with 2nd ENTER (ENTRY) , edit the 5 to 7 by pressing and typing over the 5, and press ENTER . Repeat the process to evaluate y1 at x = 10. & 1.2 Functions and Graphs When you are asked to estimate or approximate an output or an input value, you can use your calculator in the following ways: ¥ tracing a graph (Sections 1.1.5, 1.1.6) ¥ close values obtained from a table of function values (End of Section 1.2.2) Wh

Summary of the content on the page No. 12

B-12 TI-85/TI-86 Graphing Calculators The message that appears tells you to press ENTER to see the output. The output is in the form [ t, v(t) ]. We see that v(85) » $6945. If you had wanted to generate a list of values, starting at a value called TblMin and differing by DTbl, use the AUTO option in the program. Press ENTER to re-run the program, choose 1 for AUTO, and enter the values like those shown to the right. Pressing ENTER and allows you to see the outputs that have been

Summary of the content on the page No. 13

Chapter 1 B-13 Press F1 (TABLE) , type in the x-value(s) at which the function is to be evaluated, and press ENTER . You can scroll through the table with , , , and/or . Unwanted input entries can be v(85) » $6945 cleared with DEL . 1.2.2 SOLVING FOR INPUT VALUES Your calculator will solve for input values of an equation that you enter in the SOLVER. You can use any letter you wish for the input variable when using the SOLVER. (Of course, if you are using a function that is entered

Summary of the content on the page No. 14

B-14 TI-85/TI-86 Graphing Calculators Notice that you could have typed the v(t), with input variable t, directly in the solver. The solution is, of course, the same. If there is more than one solution to an equation, you need to give the solver an approximate 2 location for each answer. Suppose you are given q(x) = 8x + 54.65x Ð 163 and asked to find what input(s) correspond to an output of q(x) = 154. (The procedure outlined below also applies to finding where two functions are eq

Summary of the content on the page No. 15

Chapter 1 B-15 Press F4 (TRACE) and use and/or to move along the graph of the equation in y1. Press to jump from the graph of y1 to the graph of y2. Tracing reveals that guesses for the input values – where these two graph intersect are x » 10.6, x »3.8. Return to the home screen with 2nd EXIT (QUIT) . Access the SOLVER and enter the equation y1 = y2 as shown on the right. Enter the guess for the left- most intersection point and solve for x. Enter the guess for the rightmost inte

Summary of the content on the page No. 16

B-16 TI-85/TI-86 Graphing Calculators To graphically find an x-intercept, i.e., a value of x at which the graph crosses the horizontal axis, first press EXIT to return the menu to the bottom of the screen. TI-85 Press F1 (MATH) F3 (ROOT ) TI-86 Press F1 (MATH) F1 (ROOT ) Both Use to move the trace cursor near the first x-intercept, and press ENTER . To find the second x-intercept, press EXIT and the F-key under ROOT, use to move the trace cursor near the other x-intercep

Summary of the content on the page No. 17

Chapter 1 B-17 On the TI-85, ¥ The TI-85 interprets y1(y2) as the product of y1 and y2. To have the calculator graph the composite function f(g(x)), you should substitute g(x) everywhere an x appears in f(x). 2 2 For instance, if f(x) = x - 1 is in y1 and g(x) = 0.3x + 5 is in y2, enter y7 = y2 Ð 1 for the o composite function (f g)(x) . On the TI-86, o ¥ Enter y1(y2 ) in y7 to obtain the composite function (f g)(x) = f(g(x)). Both Your calculator will evaluate and graph thes

Summary of the content on the page No. 18

B-18 TI-85/TI-86 Graphing Calculators Because the two pieces are close together at x = 90, you may need to take a closer look to see the break. However, because the calculator draws graphs by connecting function outputs wherever the function is defined, it will connect the two pieces unless you tell it not to do so by pressing MORE F5 (FORMT) , use and to choose DrawDot. Press ENTER . Now, take a closer look with F5 (GRAPH) and F3 ZOOM F2 (ZIN ) . To keep the point where the func

Summary of the content on the page No. 19

Chapter 1 B-19 After setting the proper horizontal view, you can now use ZFIT to draw a graph of the piecewise function. You can find function values by evaluating outputs on the home screen or using the table. & 1.4 Linear Functions and Models Actual real-world data is used throughout Calculus Concepts. It is necessary that you use your calculator to find a curve that models the data. Be very careful when you enter the data in your calculator because your model and all of your result

Summary of the content on the page No. 20

B-20 TI-85/TI-86 Graphing Calculators To enter data using the list editor, Press 2nd – (LIST) F4 (EDIT) to access the list editor. Enter the name L2 at the name prompt and press ENTER . If there are data values in this list, see 1.4.3 of this Guide and Enter the first y-value as e1, press ENTER or , first delete the ÒoldÓ data. enter the second y-value as e2, etc. TI-86 Even though both of the methods discussed above are ways to enter data on the TI-86, the most convenient method

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ENG 30X

Öà

OM

à

1L1/A

Page 1

TI-30X

×

B

and

TI-30X

×

S

Scientific Calculators

1999 Texas Instruments Incorporated

General Information

Examples: See the last page of these instructions for
keystroke examples that demonstrate many of the
TI-30X

Ö

functions. Examples assume all default settings.

&

turns on the TI-30X

Ö

.

%

'

turns it off and clears

the display.

APD™ (Automatic Power Down™) turns off the TI-30X

Ö

automatically if no key is pressed for about 5 minutes.
Press

&

after APD. The display, pending operations,

settings, and memory are retained.

2-Line Display: The first line (Entry Line) displays an entry
of up to 88 digits (or 47 digits for Stat or Constant Entry
Line). Entries begin on the left; those with more than 11
digits scroll to the right. Press

!

and

'

to scroll the line.

Press

%

!

or

%

'

to move the cursor immediately to

the beginning or end of the entry.

The second line (Result Line) displays a result of up to 10
digits, plus a decimal point, a negative sign, a “x10
indicator, and a 2-digit positive or negative exponent.
Results that exceed the digit limit are displayed in Scientific
Notation.

Indicator

Definition

2nd

2nd function.

HYP

Hyperbolic function.

FIX

Fixed-decimal setting.

SCI, ENG

Scientific or Engineering Notation.

STAT

Statistical mode.

DEG, RAD,
GRAD

Angle mode (degrees, radians, or
gradients).

K

Constant mode is on.

x10

Precedes the exponent in Scientific or
Engineering Notation.

º

»

An entry is stored in memory before and/or
after the active screen. Press

#

and

$

to

scroll.

¹

¸

An entry or menu displays beyond 11 digits.
Press

!

or

'

to scroll.

2nd Functions:

%

displays the 2nd indicator, and then

selects the 2nd function (printed above keys) of the next
key pressed. For example,

%

b

25

E

<

calculates the square root of 25 and returns the result, 5.

Menus: Certain TI-30X

Ö

keys display menus:

z

,

%

h

,

L

,

%

t

,

u

,

%

w

,

H

,

I

,

=

,

%

k

,

%

d

,

%

, and

%



.

Press

!

or

'

to move the cursor and underline a menu

item. To return to the previous screen without selecting the
item, press

-

.

To select a menu item:

¦

Press

<

while the item is underlined, or

¦

For menu items followed by an argument value, enter the
argument value while the item is underlined. The item and
the argument value are displayed on the previous screen.

Previous Entries

#

$

After an expression is evaluated, use

#

and

$

to scroll

through previous entries, which are stored in the TI-30X

Ö

memory. You cannot retrieve previous entries while in

STAT

mode. You can edit a previous entry and press

<

to

evaluate the new expression.

Last Answer

%i

The most recently calculated result is stored to the variable
Ans. Ans is retained in memory, even after the TI-30X

Ö

is

turned off. To recall the value of Ans:

¦

Press

%

i

(Ans displays on the screen), or

¦

Press any operations key (

T

,

U

,

F

, etc.) as the first

part of an entry. Ans and the operator are both displayed.

Order of Operations

The TI-30X

Ö

uses EOS

é

Texas instruments ti-85 user manual

(Equation Operating System) to

evaluate expressions.

1st

Expressions inside parentheses.

2nd

Functions that need a ) and precede the argument,
such as sin, log, and all R

Í

P menu items.

3rd

Fractions.

4th

Functions that are entered after the argument, such
as x

2

and angle unit modifiers (

Д

Е

Ж

r

g

).

5th

Exponentiation (^) and roots (x

).

6th

Negation (

M

).

7th

Permutations (nPr) and combinations (nCr).

8th

Multiplication, implied multiplication, division.

9th

Addition and subtraction.

10th Conversions (A

b

Ì

c

Í

d

Ì

e

, F

Í

D,

4

DMS).

11th

<

completes all operations and closes all open

parentheses.

Clearing and Correcting

-

Clears an error message.
Clears characters on entry line.
Moves the cursor to last entry in history
once display is clear.

J

Deletes the character at the cursor.
Deletes all characters to the right when
you hold down

J

; then, deletes 1

character to the left of the cursor each
time you press

J

.

%

f

Inserts a character at the cursor.

%

{

Clears all memory variables.

%

t

CLRDATA

Clears all data points without exiting

STAT

mode.

%w

Y

Clears all data points and exits

STAT

mode.

%



Y

or

&

&

-

Resets the TI-30X

Ö

. Returns unit to

default settings; clears memory
variables, pending operations, all entries
in history, and statistical data; clears
constant mode and Ans.

Fractions

N

%j

%O

Fractional calculations can display fractional or decimal
results. Results are automatically simplified.

¦ N

Texas Instruments Ti-85 Calculator Manual

enters a fraction. Press

N

between whole number,

numerator, and denominator. The unit, numerator, and
denominator must be positive integers.

¦ %

j

converts between fractions and decimals.

¦ %

O

converts between mixed numbers and

simple fractions.

Pi

g

p

=3.141592653590 for calculations.

p

=3.141592654 for display.

Angle Modes

I

=

I

displays a menu to specify the Angle mode as

degrees, radians, or gradients.

=

displays a menu to specify the Angle unit modifier—

degrees (

Ä

), radians (

r

), gradients (

g

), or DMS (

Д

Е

Ж

). It

also lets you convert an angle to DMS Notation (

4

DMS

).

To set the Angle mode for any part of an entry:

¦

Select the Angle mode. Entries are interpreted and results
displayed according to the Angle mode, or

¦

Select a unit modifier (

Д

Е

Ж

) for any part of an entry.

Entries with unit modifiers are interpreted accordingly,
overriding the Angle mode.

To convert an entry:

¦

Set the Angle mode to the unit you want to convert to.
Then use a unit modifier to designate the unit to convert
from. (Angles of trigonometric functions convert values
inside parentheses first.), or

¦

Select

4

DMS, which converts an entry to DMS (

Д

Е

Ж

)

Notation.

Trigonometry

>

?

@

%Z[

Enter trigonometric functions (sin, cos, tan, sin

-1

, cos

-1

, tan

-1

),

just as you would write them. Set the desired Angle mode
before starting trigonometric calculations.

Hyperbolics

%Y

%

Y

displays the

HYP

indicator and accesses the

hyperbolic function of the next trigonometry key that you
press. Angle modes do not affect hyperbolic calculations.

Logarithms

A

B

%]^

A

yields the common logarithm of a number.

B

yields the logarithm of a number to the base e

(e=2.819291929).

%]

raises 10 to the power you specify.

%^

raises e to the power you specify.

Rectangular

Í

Polar

%k

Texas Instruments Manuals Download

%

k

displays a menu to convert rectangular

coordinates (x,y) to polar coordinates (r,

q

) or vice versa.

Set Angle mode, as necessary, before starting calculations.

Constants

%l

%

l

turns Constant mode on and lets you define a

constant.

Ti 85 User Manual

To store an operation to K and recall it:
1. Press

%l

.

2. Enter any combination of numbers, operators, and/or

values, up to 44 characters, beginning with an operator.

3. Press

<

to save the operation. K displays in the

indicator line.

4. Each subsequent time you press

<

, the TI-30X

Ö

recalls the stored operation and applies it to the last
answer or the current entry.

Press

%

l

again to turn Constant mode off.

Memory

z

L

%h{

The TI-30X

Ö

has 5 memory variables—

A

,

B

,

C

,

D

, and

E

.

Texas Instruments Ti-85 Instruction Manual

You can store a real number or an expression that results
in a real number to a memory variable.

¦ z

accesses the menu of variables.

¦ L

lets you store values to variables.

¦ %

h

recalls the values of variables.

¦ %

{

clears all variable values.

Notation

%‚

%d

%C

%

displays the Decimal Notation mode menu.

These modes affect

only the display of results.

F

(default)

restores standard notation (floating-decimal) format.

0123456789

sets decimal places to

n (0–9), retaining

numeric notation mode format.

%

d

displays the Numeric Notation mode menu.

These modes affect

only the display of results.

¦

FLO (default): Floating Notation, with digits to the left and
right of the decimal

¦

SCI: Scientific Notation

¦

ENG: Engineering Notation (exponent is a multiple of 3)

Texas Instruments Ti-85 Manual

%

C

enters a value in Scientific Notation, regardless

of the numeric notation mode. Press

M

before entering a

negative exponent.

Texas Instruments Ti 85

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