Hp 49g Graphing Calculator Manuel d'utilisateur

Setting a local variable to the result of a calculation...10-10Using global variables...

Plot setup parametersType The type of plot (that is, bar chart).IDATColH-TickV-TickPixelsThe data matrix, or name of the data matrix, containing the

HistogramsA histogram is a repi'esentation of a frequency distribution. The length of each bar in a histogram indicates how many items

ColH-TickV-TickPixelseach row of the matrix, must be enclosed in square brackets. (See chapter 8, “Vectors, lists, arrays, and matrices” for informati

Cursor movementWith the plot screen displayed, you can move the cursor in one of two ways:® standard graphics mode ® trace mode.Standard cursor moveme

Note that you cannot choose trace mode while you have the cursor coordinates displayed. You must choose trace mode before you choose to display the cu

You can set the factor by which you zoom in or zoom out by changing the values on the Zoom Factors input form.1. Press ZFACT to select zoom factor.2.

The tools discussed below are available from the functions sub-menu (labeled fcn on the PICT menu).1. Press FCN to display the FUNCTIONS menu.2. Pre

Finding slopesThe slope tool displays the slope of the function at the x value of the cursor and moves the cursor to the point on tire function where

If the intersection is within the display area, the cursor moves to the intersection and the coordinates of the intersection are displayed near the bo

If you chose to build your own table, the previous values are displayed. Press 0 (CD0 to clear these values, and then enter values in the independent

Appendix E: Working in RPN mode E-1Using the stack...

The values in the list vary according to the type of plot. They are the parameters you find on the Plot Window input form and Plot Setup input form fo

Chapter 5Working with expressionsContentsConfiguring the CAS...5-2Nu

IntroductionThis chapter explains how to use the main featiu'es of the HP 49G’s computer algebra system to work with expressions.It describes how

Numeric optionWhen the Numeric option is set, the calculator returns only numeric solutions to calculations. Otherwise, the calculator returns symboli

For example, consider the expression sin (x^ + 2x).If the value for variable X is defined as in the current path:® When the Approx option is set, eva

• RigorousCheck this option to specify that you do not want tel tenxis simplifiedto X.• Simp Non-RationalCheck this option to specify that non-ratio

Tlie following is a list of the categories and how you access commands in each category. Within each category, commands are displa

1. Use one of the listed key combinations to display the choose list containing the command tliat you want.2. Use the arrow keys to highliglrt the c

This example uses the LIN coiumand to linearize a trigonometric expression, and the EXPAND command to simplify the result. The expression to linearize

7. Apply the command to simplify the result.! fJilD KYZ HE!-! C= iHOMEJ _________:EKPRND-[i€XF(i.X'ir)^]+l_____________2'EXP(i’X'&apos

4. Select the numerator component of the expression.5. Factorize the numerator.FACTOPerforming substitutionsUse tire SUBST command in the algebraic

You can also use the SUBST command to substitute expressions. For example, to substitute the expression y+2 for x in the previous example:1. Retrieve

3. Press to expand the expression.RHD KVZ HEK R= EHOHEJ_____: EXPflNDHi^)-1 ).(2.X-5).(X-7>________>.X'^-17.X^+16.X+35iaa?imiiMaiiiiiM!i

Factorizing expressionsYou use the FACTOR command to factorize an expression. As with EXPAND, you can factorize an entire expression, or components of

Exponential and trigonometric expressionsWlien working with expressions involving exponential and trigonometric functions, you often need to simplify

TAN2SCTAN2SC2TEXPANDTLINTEIGTrigonometry command list— Applies the following substitution:tan(,x)sin(a;) cos (a;)Trigonometry command list- Applies th

TRIGCOS Trigonometry command list-TRIGSINApplies the following substitution, and returns cosinetemis if possible:2 2 sin (x) 1-cos (x)Trigonometiy com

5. Retrieve the result of step 3 from history.RAD HVZ HEH R=:TLlW[Cöglf|J J2 12 h 2EXPAND ( 1/-2*C0S(2*C 1*tt* -2)________________________|liBÜMJBliZE

ExampleThis example illustrates how to use the DERVX coiumand to differentiate an expression and to use the EXPAND command to simplify the result.1.

DiFFerentiating an expression step-by-stepYou can use the HP 49G to differentiate expressions in step-by-step mode. The computer algebra system displa

PrefaceContentsThe purpose of this manual...ixAdvanced fimctions...

Step-by-step exampleThis example differentiates the following expression in step-by-step mode.3sin.x' + 4cos^x1. Use the method described in the

Chapter 6 Solving equationsContentsAbout solving equations... 6-2Solving an

About solving equationsYou can use the HP 49G numeric solver to solve foiu" types of equations. You select the type of equation

Solving an equationIn solving an equation, the HP 49G uses any existing values it has stored for the variables in the equation. These may be variables

After it solves an equation, the muueric solver returns infonuation relating to the solution process.To display the solution information, press info.

Solving polynomial equationsPolpioiTiial equations are of the form;a.r" + bx” % ,.. + cx^ + dx + e = 0 For example, the following equation is a t

2. With the cursor in the Coefficients field, press EDIT. Matrix Writer opens, ready for use.3. In Matrix Writer, enter the coefficients on the top

Finding a polynomial From a set of rootsTo find a polynomial equation that corresponds to a set of roots, use thefollowing procedure:1. Open the nume

Representing a system as matricesTo solve a linear system, you represent the system in matrix form within the numeric solver. In order to represent th

ExampleTo solve the following linear system:2x - 8y + 32: = -5 :r -4y + 2z = 3 3x -y -bz = 41. Open the numeric solver and select SOLVE UN SYS to disp

Advanced FunctionsThis manual will meet the needs of the majority of users. However, the HP 49G has numerous advanced fimctions designed especially fo

7. Return to the default screen. The results matrix is written to the history.RilD KVJ HEK 15=chohe:-__[23.18181818 10.5454545'¡^ 11.Solving dif

4. Press SOLVE. The calculator solves the equation. If the process takes a long time, or does not produce a solution:a. Press Cm5) to stop the proce

Time-value-of-money calculations1. Press (Я) (FINANCE) to open the financial solver.The Time Value of Money input fonn is displayed.2. Depending on

After you have perfonxied a time-value-of-money calculation, you can amortize the results, that is, calculate the amormt of principal and the amount o

To amortize the second year of the loan’s payments:1. Press B^PV.The starting value is set to the value in the Balance field,2. In tlie Payments fie

Chapter 7 Storing objectsContentsVariables...7-

VariablesVariables enable you to store and retrieve objects. You do this by giving an object a name. For example, if you regularly use a particular nu

Listing variablesThere are two ways to see the variables you have created:® press (\M)® press 0 (ffES). This opens the file management tool

Using a variable in a calculationYou can use a variable’s contents in a calculation. To continue the example on page 7-2, suppose you have stored the

To evaluate a user-defined fimction:1. Go to the directory where you stored the function, and press The variables in the directory are displayed on t

However, there is no guarantee that interference will not occur in a particular installation. In the unlikely event that there is interference to radi

Creating a directory1. Press tlThis opens the file management tool called File Manager and displays the directory tree.2. Select the directory that

Selecting a directory or variableYour current directory—also known as your path—is showir at the start of the second line of the status area. To work

Method 2Use this method when the directory you want to select is on a different branch of the directoiy tree or is many levels above or below your cur

Copying or moving a variable or directory1. Use File Manager (0 (FILESn to select the parent directory of the variable or directory you want to copy

Editing a variable1. Use File Manager (Q(EI1D) to select the directory that contains the variable you want to edit. (See “Selecting a directory or va

Objects that you want to keep should be moved from user memory to port memory. This not only makes more user memory available for everyday operations,

Chapter 8Vectors, lists, arrays, and matricesContentsVectors...

VectorsA vector is a way of representing quairtities that are measured both by magnitude and by direction. An example is velocity.Most often you will

You enter a vector by specifying its components between square brackets;1. Press 0 O2. Enter the first component.If you are entering a real vector r

In no event unless required by applicable law will any copyright holder be liable to you for damages, including any general, special, incidental or co

Absolute magnitudeThe absolute magnitude of a vector—also known as the scalar magnitude—is the square root of the sum of the squares of the value of e

Dot productThe dot product of two vectors of equal dimensions is the smu of theproducts of each corresponding pair of elements. The dot product is als

ListsA list is a collection of any niutiber of objects. The objects can be of any type—numbers, character strings, and so on—and objects of different

5. Press 0 © 5 ©Q 6 0O 7.6. Press ®The cursor is now outside the list of the populations to be sampled.7. Press 0048. Press (ENTER).The answers ar

3. Press (ENTER) to move the object from the command line to the first cell of the array.The active cell now becomes 1-2 (that is, the cell at row 1

Quickly moving through an arrayKey combinations are provided to help you quickly move through an array that is too large to be displayed in

Matrix arithmeticIn matrix arithmetic, you need to enter one or more matrices. You can enter a matrix:® using Matrix Writer ® by typing it on the comm

Since the multiplication of matrices is not coimnutative, the order in which you specify the matrices is important. The nmnber of colmuns in the first

3,r + 4:^ = 25 5x - 3i/ = 3To solve such a system, you can:1. Enter RREF on the command line.“RREF” stands for the row-reduced echelon form command.2

Chapter 9 Using statisticsContentsDescriptive statistics... 9-2Star

6. HP MAKES NO OTHER EXPRESS WARRANTY OR CONDITION WHETHER WRITTEN OR ORAL. TO THE EXTENT ALLOWED BY LOCAL LAW, ANY IMPLIED WARRANTY OR CONDITION OF

Descriptive statisticsUse the descriptive statistics applications of the HP 49G to analyze data stored in a matrix.® Use the Single-variable statistic

You specify the column of data within the matrix to analyze.To calculate single-variable statistics, use the following procedure;1. Use the method de

Fitting a model to a set of dataYou can use the statistics application to calculate Pearson’s correlation coefficient for bivariate data. The statisti

Predicting a value based on the regressionOnce you have perfomied a regression, you can use it to predict y values.1. Follow steps 1 to 5 in the prev

The following statistical plot types are available:® Histogram ® Bar ® ScatterBy default, these plot types plot the data stored in ZD AT. See chapter

.461368 50..85rmu h^poth-25x5 pt-pijution iiiiiiiiiiiiiiii!NaaBigg8iW;ii'i!i9iiiiNaaUsing inFerential statisticsTo use the inferential statistics

Press OK to close the inferential statistics application and return to the default screen. The results are copied to history.The results for the one-s

ResultsTestZ Z-test statistic.ProbProbability associated with the Z-test statistic.Critical ZBoimdary value of Z associated with the a level that you

Menu name: Z-Test: 1 POn the basis of statistics from a single sample, measures the strength of the evidence for a selected hypothesis against the nul

Menu name: Z-Test: P1-P2On the basis of statistics fi'om two samples, each from a different population, measures the strength of the evidence for

Menu name: T-Test: 1 |iThe One-sample T-test is used when the population standard deviation is not known. On the basis of statistics from a single sam

Menu name: T-Test: |il - ¡i2The Two-sample T-test is used when the population standard deviation is not known. On the basis of statistics from two sam

Confidence intervalsThe confidence interval calculations that the HP 49G can perform are based on the Normal Z-distribution or Student’s t-distributio

ResultsCritical Z Critical value for Z.(r Min Lower bound for fij - |i2 /sjiMax Upper bound for - |i2One-Proportion Z-IntervalMenu name: Z-INT: 1 PThi

ResultsCritical Z 71 MinA 71 MaxCritical value for Z.Lower bound for the difference in proportions of successes.Upper bound for the difference in prop

Two-Sample T-Interval Menu name: T-INT: |il - |i2This option uses the Student’s t-distribution to calculate a confidence interval for the difference i

Chapter 10Introduction to programmingContentsGetting started...

IntroductionThis chapter describes how to create and nm programs on the HP 49G. The HP 49G has a rich programming environment. Programs can range in c

3. Define the equation to calculate the hypotenuse.Note that you need to use O to enclose the equation and separate it from the definition of the arg

Chapter 1 KeysContentsKey map...1-2The HP 49G’s

Use; to separate functions and calculations within a nested procediu'e. To enter press and hold down 0, and press (SPC).For readability,

Algebraic and RPN modesIn RPN mode, the HP 49G makes extensive use of the stack. Wlien developing programs in RPN mode, you use the stack to:® provide

Handling dataThis section briefly describes how you can supply data to your programs, and how you can output data that your programs produce.Input dat

You can run other programs from within your programs. In this manner, you can create modular programs. For example, you could create three discrete co

Working with variablesYou use variables to hold data within your programs. There are two types of variables within the HP 49G programming environment.

1. On the command line, position the cursor immediately to the right of the opening « symbol.2. Press ©0 to insert the —> symbol.3. Enter a loca

The following program segment demonstrates how to set a local variable to the result of a calculation, and to use the result in a subsequent calculati

3. Enter the percentage calculation.0® ®M)A©(I® (i®TOTL{$Pi)® ® 100« ^ A« (A/TOTL)*1004. Store the results into the global variable “RESLTl”. Note t

Looping and branchingThis section introduces the use of conditional branching and looping within a program. Conditional structures evaluate 0 as false

NOTICEThis manual and any examples contained herein are provided as-is and are subject to change without notice. Except to the extent prohibited by la

Key mapThe following is an illustration of the layout of the keys on the HP 49G. The keys are described in “What each key does” on page 1-5, where eac

• START (start, end') code NEXTRuns code, increments start. Repeats imtil start > end. The code is always nm at least once.® START {start, en

« @ Local variable S is used @ to store the step number.@ Step from 1 to the size of the list. FOR(S,l,SIZE(MARKS))@ Extractsthe element from

ExampleThe following example creates the list of marks used in the previous example. If a non-numeric value is entered, the program prompts with an er

Appendix AConnecting to another calculatorContentsTransferring objects between calculators...A-1Transfe

Transferring data between two HP 49Gs1. Ensure that the calculators are connected correctly.2. On the sending calculator, navigate to tire directory

to display the I/O FunctionsTRftnSFEF:^Fift;FiaM«:FMt: fiSC H'.'St: Newl Chk: 3 Baud ¡9600 ForityHone _0MrHEhtar naH«z5 of uarg ta tran

Appendix B Error messagesIntroductionThis appendix contains the main error messages that the HP 49G can generate. The messages are listed in alphabeti

Message (Continued) MeaningInfinite ResultA calculation that produces an infinite result has been attempted, for example, 1/0.Insufficient MemoryThere

Message (Continued)MeaningInvalid TimeThe time argument is invalid.Invalid UnitThe unit argument is invalid for the attempted operation.Invalid IDataT

The HP 49G’s keyboardsThe HP 49G keyboard is seven keyboards in one. These are:® Primary keyboard: comprises all the keys from the second row to the l

Message (Continued) MeaningPower Lost Appears when the calculator is turned on after a power loss. The power loss may have caused objects in memory to

Appendix C UnitsThe HP 49G contains a catalog of 127 units that you can use to create unit objects. A imit object is a real number linked to a unit ex

Unit (Full Name) (Continued) Value in SI Unitsbbl (barrel)0.158987294928 nriBq (becquerel)Is-iBtu (British thenual imit)1055.05585262 kg-m2/s2bii (bus

Unit (Full Name) (Continued) Value in SI UnitsFdy (faraday)96487 A-sfermi (fermi)1 X 10“*® mflam (foot-lambert)3.42625909964 cd/m^ft (international fo

Unit (Full Name) (Continued)Value in SI UnitsK (kelvin)1 Kkg (kilogram) 1 kgIdp (kilopoxmd-force)4448.22161526 kg-in/s^knot (nautical miles per hour)

Unit (Full Name) (Continued)Value in SI UnitsN (newton)1 kg-m/s^nmi (nautical mile)1852 mQ (ohm)1 kg-m^/A^-s^oz (oimce)0.028349523125 kgozfl (US fluid

Unit (Full Name) (Continued)Value in SI UnitsS (siemens)1 A^-s^/lcg-m^sb (stilb)10000 cd/m2slug (slug)14.5939029372 kgsr (steradian)1 srst(stere)1 m®S

Appendix DTroubLehootingContentsCalculator will not turn on... D-2Resetting th

Calculator will not turn onThis condition most likely indicates that the batteries have nm out. Install new batteries and see if the condition persist

When to replace the batteries\\Tien battery power is low, the ((®>) anramciator is displayed. This annunciator remains displayed even when you timi

Alpha keyboard: comprises the keys with the characters Ato Z marked on their face. (These characters are colored white on a green backgroimd.) You nee

Calculator is not respondingIf the HP 49G freezes and will not respond when you press (CMeD. its memoiy may have become corrupted. There are two ways

Halting the system without using the keyboard1. Insert the end of a metal paper clip into the hole in the back of the calculator. Insert the clip as

Error on start upIf the message “Invalid Card Data” is displayed each time you turn the calculator on, you need to initialize the calculator’s ports.

InsuFRclent memoryInsuf f icient memory is displayed if there is not enough memory to complete an operation.Solutions:1. Try to do the calculation or

You can stop the purge process at any time by pressing (CA№D. You might do this after a while to check if the low-memory condition has been rectified.

Appendix E Working in RPN modeContentsUsing the stack...E

Using the stackIn order to perform operations in RPN mode, you place the object or objects on the stack, then apply the operation.Entries on the stack

PerForming RPN calculationsYou use the command line and the stack to perform EPN calculations.® Wlren you use a command that takes only one argument,

Example stack calculationsUsing a one-argument command1. If the argument is not already on level 1 of the stack, enter the argument onto the command

Method 2In method 1 above, each argument is entered onto its own level of the stack before the command is executed. Another way is to enter all the el

In addition to the seven keyboards discussed above, you can also create a customized keyboard. A customized keyboard—also known as the user keyboard—i

5. Press 0.The two previous results—169—and 323—are now treated as the arguments in a fiuther operation. This operation replaces the arguments with t

Manipulating stack dataThe HP 49G provides functions to manipulate the stack levels. To access these functions, you enter interactive stack

Command Function (Continued)EDITOpens the contents of the current level in the most appropriate editor, ready for editing. For example, if the cuiTent

absolute magnitude of a vector 8-4 Advanced User’s Manual x alannsacknowledging 2-27 appointment 2-27 changing 2-29 control 2-29 deleting 2-29 past-du

CAS See computer algebra system charactersenteriirg 2-10 lower-case 2-10 special 2-11 upper-case 2-10 characters tool 2-12 check fields 2-16 clock 2-2

display modes 2-19 dot product 8-5 drawing graphs 4-3e 3-4editing, full page 2-19 engineering mode 2-9 entiy mode 3-5 environmental limits D-1 EQ 4-41

history 2-3, 2-5, 2-21 clearing 2-5 entering from 2-12 saving 2-5 home directory 7-5hypothesis tests, inferential statistics 9- 9primary 1-3 right-sMf

minifontfor display and editing 2-19 minirnmn valuegenerating frequencies 9-4 in statistical data 9-3 modes 2-18algebraic 2-4, 2-21approximate 2-4, 2-

parametric 4-8 parametric surface 4-25 polar 4-10pseudo-contour 4-21 scatter 4-29 slopefield 4-19 statistical 4-3, 4-28 tracing 4-35 truth 4-17 wirefr

slope 4-39 slopefield plots 4-19 solving equations 6-2interpreting results 6-4 linear systems 6-7, 8-11 simultaneous equations 6-7 special characters

Row 3URDIR COPY RCL CUT PREV PASTEGSelect the next directoiy up the directory tree.Copy a selection.Recall the value of a specified variable.Cut a sel

vector mathematicsabsolute magnitude 8-4 dot product 8-5 vector product 8-5 vectors 8-2creating 8-2 polynomial 6-5verbose mode, configuring 5-4 view v

Service and SupportVisit the Hewlett-Packard calculators Service and Support web site at:http://www.hp.com/calculatorsor call one of the following num

Introducing the HP 49G Graphing Calculator... For those who want more than just the right answer.HEWLETT«PACKARDExpanding PossibilitiesLearn how to

Row 5V T ASINmCD(Z©@©CESS G©Sl QES) (531 C58iRow 6QBCalculate the natural antilog of a specified number. Syntax: @ xCalculate the natural logari

©©Row 7mmQfi®Row 8®1DQCalculate the angle defined by a complex number. Syntax:a + biInsert the exponent symbol and treat the entry in mantissa-and- ex

C4}-©0Row 90©0®00Enter numbers.Perform subtraction. Syntax: a: 0 yARHH QAPiX DEf©0©Row 10Display a list of arithmetic functions.Display a list of func

Arrow keys® Move Move Move Move Move Move Move Move Move Move Move Move®0®@up to the first object or field shown, up to the previous object or field,

Chsptor 2 Basic operationContentsTurning on and turning off...2-2Changing the s

HP49GGRAPHING CALCULATORUSER’S GUIDEVersion 1.2HP 49Gf'Qi L'ioi liTa; AJ. (5fl) (iiO}0^ LLni?; I •* . £\ a o G 0V”G;i I r 7 i r S : i n J i

IntroductionThis chapter explains how to quickly get started using your HP 49G. You I will learn how to adjust the calculator’s display and how to set

Changing the screen contrastTo change the display contrast (thereby darkening or lightening the text relative to the background):1. press and hold (O

Status areaIThe status area displays annimciators, the current directory path, and messages. It also displays various alerts.Annimciators indicate the

SymbolMeaning (Continued)Results are displayed in exact mode.f!Real number mode.CComplex number mode.(orY...)The cun'ent independent variable.del

MenuA menu is displayed across the bottom of most screens. Each item on the menu is one of the following:® a command ® the name of another menu ® a va

Most menus can be displayed as a fimction key menu and as a choose list menu. Where this is the case, the default is to display the menu as a choose l

Multi-line entriesThe infomiation you enter on the command line can occupy more than one line, for example, when you ai'e entering a program. (Se

Mantissa-and-exponent entry1. Enter the mantissa (and, if necessary, press © to change its sign).2. Press d©. An “E” is displayed to indicate that t

The HP 49G’s alpha keyboard enables you to enter letters and other characters. The (ALPHA) key is used, in various ways, to activate the alpha keyboar

To enter several lower-case characters one after the other:1. If it is not locked already, lock the alpha keyboard (by pressing twice).2. Press 0 (i

Most of the common characters you will need can be entered from the keyboard in the ways described earlier in this chapter. You can also enter these c

Editing the command lineTable 2.2 lists the command line operations available for moving through the command line, editing the text yo

Input FormsMany of the HP 49G’s applications have input forms to help you remember the infonnation you need to enter aird to set various options.An in

Extended data fieldsExtended data fields accept data entered directly from the keyboard or objects chosen from a list. The three fields in the example

Check ReidsCheck fields are used to turn an option on or off. The CONNECT, SIMULT, and PIXELS fields in the above example are che

Using calculated values as inputWith an input form displayed, you can perform a calculation and place the result of the calculation directly into a fi

ModesA mode is a way in which the HP 49G behaves. There are numerous modes. For example, one mode is the way that numbers are displayed (with a fixed

® Key click: a check field that enables you to turn on or turn off the beep that sounds when you press a key.® Fraction mark (labelled “FM”): a check

® Textbook: enables you to display expressions and equations in single- line format (with /, etc) instead of traditional textbook format (withstacked

You can display a list of flags by pressing flags when the Calculator Modes input form is displayed. With the list displayed, you can set or clear par

ContentsPreface ixThe purpose of this manual...ixAd

You can use the result of a previous calculation in a new calculation by entering ANS(h) where n is the number of the answer; 1 for the last answer, 2

In exact mode, any result that is not a whole number is displayed in fractional or symbolic form. For example, 4 ~ 2 will yield 2 (because 2 is a whol

Command line calculationsThis section provides a number of examples of common types of calculations. The keystrokes needed—in algebraic mode—to enter

Keys:Exact:Example 5:J dx0® 10O50Q124/30Approximate: 41.33333333333Example 6:Keys:Exact:3® ® 0®)©3(i 0/2Approximate: .707106781185Basic operationPag

Time ManagementBy default, the HP 49G does not show the date and time. You can turn this function on by selecting CLOCK on the Display Modes input for

Changing the format of the date or timeTo change the format of the date or time:1. Press 0 (TÍME).2. Press ® ® to highlight the SET TIME, DATE... fr

section) the amnmciator remains displayed to indicate that you have an appointment you have not acknowledged.If the calculator is switched off, it aut

Checking, changing, and deleting alarmsTo look at the future-dated appointment alarms you have set, and the past- due non-repeating alarms that you di

Setting a control alarm1. Press 0 (TiME).2. Press ® to highlight the SET alariM... option and then press OK.The SET ALARM input form is displayed.3.

Chapter 3Creating and editing expressionsContentsCreating a new expression...3

Modes... 2-18Changing

Creating a new expressionThis section describes how to use Equation Writer to create an expression, and to store it in a variable.As you create an exp

6. Select the expression you have entered so far, and press © to insert the division bar imder it.®©®07. Enter the denominator express

Using Equation WriterAs you create or edit an expression, keep the following points in mind:® You use the operators and the fimctions from th

Operating modesThere are four modes of operation within Equation Writer. These are: ® Entry modeThis is the default mode. If you are using ano

1. To start Term selection mode:® Fi'om Entry mode, press ®.® From Selection mode, press 0®.The cursor changes to a box.2. Press ® and @ to

Understanding how Equation Writer sees expressions will help you work with expressions.The expression that you are editing is represen

ExamplesThis section includes examples of how to create specific expressions.Example 1(5x + 3)(.r- 1),x+ 11. Enter the numerator expression.5@©3®®@@01

4. Select the expression and apply the square root to it.Example 31. Press the following keys:0ffi2®5®5©(S®0E®®@(,2.X^+5).j4.X^+2.X+7BJTigiiTraaiMcgit

Chapter 4 Plotting graphsContentsBasic plotting...4-3Pl

Zooming ...4-36To zoom in

Finding areas...4-39Finding intersections...

Basic plottingThe HP 49G’s plotting application enables you to graph functions. You can create the functions before opening the application, or create

7. To change a function:a. Use the arrow keys to highlight the fmiction.b. Press EDIT.The function is displayed in Equation Writer.c. Edit the fun

To draw a statistical plot1to display the Plot SetupPLOT SETUPS TMPC =liPQ.CgfaiüEDftT:“ " “CpU 1H-Tick:10. V-Tich:ii«ChP05<! tHp»Z Of put_

Plot typesThis section describes the 16 plot types that the HP 49G can draw. The procedure for plotting each type is set out in the previous section (

Low The smallest value of the independent variable that youwant plotted.High The greatest value of the independent variable that youwant plotted.Ste

H-TickV-TickPixelsThe nmuber of imits (or pixels) between tick marks on the horizontal axis. The default is one tick every 10 pixel

Plot window parametersH-ViewV-ViewLowHighStepPixelsAutoThe horizontal display range, with the minimum horizontal value in the first field and maximum

ConnectSimuliH-TickV-TickPixelsWhen checked—which is the default setting—the plotted points are connected to form a line or cmwe; when unchecked, only

/\Figure 4-8: Sample polar plotPlot window parametersH-ViewV-ViewLowHighStepPixelsAutoThe horizontal display range, with the minimum horizontal value

Chapter 6: Solving equations 6-1About solving equations...

Plot setup parametersTypeili.EQIiidepConnectSimultH-TickV-TickPixelsThe angle imits field indicates the units in which angular arguments are inteipret

Conic plotsConic plots are plots of conic sections. The equation for a conic section is a polynomial of second degree or less for both x

Plot setup parametersTypeEQIndepDepndConnectH-TickV-TickPixelsThe angle imits field indicates the units in which angular arguments are to be interpret

Differential equation plotsA differential equation is an equation that involves one or more derivatives. An example is dy/dt = t + y.^^F-LC'T Hin

TypePlot setup parametersIndepSoil!H-VarV-VarStiff3FdydFdtH-TickV~TickPixelsThe angle units field indicates the units in which angular arguments are t

Truth plotsTruth plots evaluate expressions that return a true result (that is, any nonzero real number) or a false result (that is, 0). At the coord

Pixels Wlien this field is checked, the STEP value is measured inpixels. Wlien imchecked—which is the default setting— the STEP value is measur

Slopefield plotsA slopefield plot draws a lattice of line segments whose slopes represent the value of the function/(a’,i/) at their centerpoint. Slop

Plot setup parametersTypeEQIndepDepndThe angle imits field indicates the miits in which angular arguments are to be interpreted; degrees, radians, or

Plot window parametersX-Left, X-Right The a;-axis range—or width—of the view volume. Y-Near, Y-Far The y-axis range—or depth—of the view volume. Z-Low

Chapter 8: Vectors, lists, arrays, and matrices 8-1Vectors ...

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Y-Slice plotsThe Y-Slice plot draws a series of cross-sections or slices—each perpendicular to the ?y-axis—of the sm-face determined by a specified fu

Plot setup parametersType The type of plot (namely, Y-Slice).ii The angle units field indicates the imits in wliich angulararguments are interpreted

XX-RightYY-Near,YY-FarStepIndep Step Depndcorresponding to the first independent variable (entered in the Step Indep field).The vertical range of the

Plot window (1) parametersX-Left, X-Right The j;-axis range (tlrat is, width) of the view volume. Y-Near, Y-Far The y-axis range (that is, depth) of t

Standard 3-D functions can be plotted using the Fast 3-D plot type.A Fast 3-D plot needs two inputs to generate an output. The HP 49G us

Plot setup parametersTypeEQIndepDepndThe angle units field indicates the imits in which angular argmnents are to be interpreted: degrees, radians, or

A scatter plot shows the relationship between two variables by plotting an x-y coordinate point for each item in a sample. For variables that are stat

Plot setup parametersTypeIDATColsH-TickV-TickPixelsThe data matrix, or name of the data matrix, containing the data to be plotted.The name of a matrix

Bar chartsA bar chart provides a visual representation of the relative magnitudes of the values in a specified colimin of a data matrix.Hir