Sharp EL-9900 Manual de usuario

EL-9900MODELEL-9900 GRAPHING CALCULATORGRAPHING CALCULATOROPERATION MANUALSHARP CORPORATION02JGK(TINSE0511EH01)PRINTED IN CHINA/IMPRIMÉ EN CHINE/IMPRE

viiiContents3. Complex number calculation... 2457. CATALOG Feature ...

90Chapter 6: Advanced Graphing Features — Advanced Keyboardphase-based (uv, uw, or vw)The un values will be plotted against the vn values (uv).(n–1)-b

91Chapter 6: Advanced Graphing Features — Advanced Keyboard4. Now, go to the Graph Equation Entry window by pressingY.The cursor is set at the first l

92Chapter 6: Advanced Graphing Features — Advanced KeyboardThe calculator can accept up to three sequential equationentries. We will use the v set, si

93Chapter 6: Advanced Graphing Features — Advanced Keyboard3. Press the Y key to go to the Graph Equation Entrywindow.4. At the first equation entryro

94Chapter 6: Advanced Graphing Features — Advanced Keyboard2. Press Y to verify thepreviously entered polargraph equation, then pressG to draw the gra

95Chapter 6: Advanced Graphing Features — Advanced Keyboard6. Format SettingYou can set up the Graph screen format from theFORMAT menu.Press @ f to di

96Chapter 6: Advanced Graphing Features — Advanced KeyboardF CURSOR The coordinate system that indicates the location selected by thetrace or other fu

97Chapter 6: Advanced Graphing Features — Advanced KeyboardD EXP2exUse this tool when the equation contains a form of “ex”.4 In X Use this tool when t

98Chapter 6: Advanced Graphing Features — Advanced Keyboard8. Setting a WindowThe W key displays the graph window setup. The display will differ accor

99Chapter 6: Advanced Graphing Features — Advanced Keyboard9. TablesThe calculator enables you to illustrate the changes using the equation and graph

1Caring for Your CalculatorCaring for Your Calculator• Do not carry the calculator around in your back pocket, as itmay break when you sit down. The d

100Chapter 6: Advanced Graphing Features — Advanced KeyboardPolar coordinate system• The variable θ is displayed inthe left end column.• The columns θ

101Chapter 6: Advanced Graphing Features — Advanced KeyboardUser: Displays a blank table. As you input values for variable columns,table values are au

102Chapter 6: Advanced Graphing Features — Advanced Keyboard10. The DRAW FunctionWith the DRAW function, lines, circles, graphs, and pixel points can

103Chapter 6: Advanced Graphing Features — Advanced Keyboard2 Line( Draws a line according to the given X-Y coordinates ofa start/end point.Note: This

104Chapter 6: Advanced Graphing Features — Advanced Keyboard2. Press A to select A DRAW, then press 2to select 2 Line(.The GRAPHwindow reap-pears, wit

105Chapter 6: Advanced Graphing Features — Advanced KeyboardH_LineExample•Draw a horizontal line manually.1. Press @d A3.2. Use the cursornavigation k

106Chapter 6: Advanced Graphing Features — Advanced KeyboardT_line(equation, x-value)Example•Draw the tangental line of y = x2 at x = 1.1. Select T_Li

107Chapter 6: Advanced Graphing Features — Advanced Keyboard6 Draw Draw equationDraws an additional graph based on a given expres-sion.Example•Draw th

108Chapter 6: Advanced Graphing Features — Advanced Keyboard8 DrawInv DrawInv equationDraws an inverse of a given graph expression.Example•Draw the in

109Chapter 6: Advanced Graphing Features — Advanced Keyboard0 Text( Text(column, row, “strings”)Enters a text string at a given coordinate.Example•Dra

2Chapter 1Getting StartedBefore Use1. Open the battery coverlocated on the back of thecalculator. Pull down thenotch, then lift the batterycover up to

110Chapter 6: Advanced Graphing Features — Advanced Keyboard1 PntON( PntON(x-coordinate, y-coordinate)Draws a point at a given coordinate. It takes th

111Chapter 6: Advanced Graphing Features — Advanced Keyboard7 PxlTST( PxlTST(column, row)Returns “1” if a pixel point is present at a given screenloca

112Chapter 6: Advanced Graphing Features — Advanced KeyboardE G_DATA All graph data, including the graph equations and windowsettings, can be stored i

113Chapter 6: Advanced Graphing Features — Advanced KeyboardNote: Attempting to callback graph data froman empty location willresult in an error.F PIC

114Chapter 6: Advanced Graphing Features — Advanced KeyboardG SHADE With these sub-menu tools, inequalities, intersections andcompliments of multiple

115Chapter 7SLIDE SHOW FeatureThe SLIDE SHOW feature is especially incorporated to help students understandmath concepts utilizing the calculator’s gr

116Chapter 7: SLIDE SHOW Feature4. Press Y to enter the graph equation mode.5. Enter (x – 3)(x – 1)(x + 2) atthe first equation.6. Press @ n.The messa

117Chapter 7: SLIDE SHOW FeaturePlaying back the newly created SLIDE SHOW1. Press ] to go to theSLIDE SHOW menu.Press B to select BPLAY.A list of save

118Chapter 7: SLIDE SHOW Feature6. Go down to the last capturedimage using the } key.7. Press E to mark theimage.8. Go up to the page 3 usingthe { key

119Chapter 7: SLIDE SHOW Feature1. While in the SLIDE SHOW menu, press E to select EEDIT, then press 1 to select the 1 MOVE sub-menu item.2. With the

3Chapter 1: Getting StartedSince the display contrast may vary with the ambient temperatureand/or remaining battery power, you may want to adjust thec

120Chapter 8Matrix FeaturesWithin the Matrix features, up to ten different matrices can be entered.To get to the Matrix features, press @ m. Define an

121Chapter 8: Matrix Features1. Press @ m to enterthe MATRIX menu.2. Press B to select EDITand then 1 to select 1mat A.3. Press 3 E 4 E todefine the d

122Chapter 8: Matrix Features10. Press E.The reduced row echelon form of the matrix is displayed.Display Solution1x + 0y + 0z = x = 9.250x + 1y + 0z =

123Chapter 8: Matrix Features1. Press appropriate number keys to enter numbers at the 1strow and 1st column.The number is displayed at the bottom of t

124Chapter 8: Matrix Features3. Normal Matrix OperationsMany calculations can be made between a matrix and a real number or betweenmatrices.Examples o

125Chapter 8: Matrix Features4. Special Matrix OperationsThis calculator has three Matrix calculation menus: OPE, MATH and [ ].Examples of each calcul

126Chapter 8: Matrix Features03 cumul cumul matrix nameReturns the cumulative matrix.Example• Obtain the cumulative sum of mat A.cumulative sum of aij

127Chapter 8: Matrix Features07 row_swap( row_swap(matrix name, row number, row number)Returns the matrix with specified rows swapped.Example•Swap the

128Chapter 8: Matrix Features11 mat→list( Creates lists with elements from each column in the matrix.If dimensions of columns is greater than the numb

129Chapter 8: Matrix FeaturesCalculations using MATH menus1 det det matrix nameReturns the determinant of a square matrix.The determinant can only be

4Chapter 1: Getting StartedPart Names and FunctionsMain Unit1 Display screen2 Power ON/OFF key5 Cursor keys3 Key operationkeys4 Graphing keys

130Chapter 8: Matrix FeaturesUse of [ ] menusUsing [ ] menus, you can manually enter a matrix on the calculation screen.1. Press @ m E 1 ( [ ) at the

131Chapter 9List FeaturesBy analyzing years of data, we found that it takes the driver of a carapproximately 0.75 seconds to react to a situation befo

132Chapter 9: List FeaturesNote: •You can also perform theabove calculation using thedirect list input method (usingbraces).1.1 | {30, 40, 50, 60, 70,

133Chapter 9: List Features2. Creating a listA list is a series of values enclosed by braces, and is treated as a single value incalculations or an eq

134Chapter 9: List Features1. Press 10 | @1 R @ 3E.2. Press s @ 3E. “...” shows thatresults extend beyond thedisplay to the right. Use;, ' to scr

135Chapter 9: List Features4. Special List OperationsThis calculator has three list calculation menus: OPE, MATH and L_DATA.* In the Basic mode, L1 to

136Chapter 9: List Features3 dim( dim(list)Returns the number of items(dimension) in the list.Example• Display the dimension of listL1.natural number

137Chapter 9: List Features5 seq( seq(equation, start value, end value[, increments]) target listnameMakes a list using the specified equation, rang

138Chapter 9: List Features8 augment( augment(list 1, list 2)Returns a list appending the specified lists.Example• Obtain the list appending L1({4, 2,

139Chapter 9: List FeaturesCalculations using MATH MenusDuring the following explanations, the values of lists, L1 and L2 will be assumed to be:L1 = {

5Chapter 1: Getting Started1 Display screen:Displays up to 132 pixels wide by 64 pixels tall of graphs and texts.2 Power ON/OFF key:Tur ns calculator

140Chapter 9: List Features4 median( median(list [, frequency list])Returns the median value of items in the specified list.Example• Calculate the med

141Chapter 9: List Features7 stdDv( stdDv(list [, frequency list])Returns the standard deviation of the specified list items.Example• Calculate the st

142Chapter 9: List Features3. Press G.Two graphs are drawn asshown on the right.In this case, the first onerepresents the equation y =3x2 + 5x + 2 and

143Chapter 9: List Features2 RclLD RclLD natural number (0-9)Recall the stored group of lists for use.Any current list data (not stored in L_DATA) is

144Chapter 9: List FeaturesHow to edit the list1. Press S and select A EDIT, then press E.2. Use the cursor keys to move the cursor to the target cell

145Chapter 10Statistics & RegressionCalculationsThe following table shows the access counts (per hour) of a certain web sitefrom Sunday midnight t

146Chapter 10: Statistics & Regression Calculations2. Select A EDIT and press E.The List table will appear. Initially, all elements are blank andt

147Chapter 10: Statistics & Regression Calculations3. The first line shows if thegraph drawing is on or off.Initially, the graph drawing isoff. Wi

148Chapter 10: Statistics & Regression Calculations15. Select 9 Stat and press E .You can directly press 9 at step 13 to select 9 Stat.The histogr

149Chapter 10: Statistics & Regression Calculations8. Move the cursor to GRAPHand press [.9. Press B 2 (brokenline with cross points).10. Press G.

6Chapter 1: Getting StartedBasic keyboard Advanced keyboardBasic Operation keysE: Used when executing calculations or specifying commands.C / q: Clear

150Chapter 10: Statistics & Regression Calculations2. Statistical evaluations available under the C CALC menu1_Stats 1-variable (x) statistical a

151Chapter 10: Statistics & Regression CalculationsThe web site access counts example on page 145 will be used again to demonstratethe calculation

152Chapter 10: Statistics & Regression CalculationsCalculating the previous two-variable statistical values can beperformed in a single operation.

153Chapter 10: Statistics & Regression Calculations3. Graphing the statistical dataPress [ to access the statistical graphing mode.The calculator

154Chapter 10: Statistics & Regression CalculationsA broken line graph for the frequency distribution of sample (x)Three types of points can be se

155Chapter 10: Statistics & Regression CalculationsA box plot graph of sample (x)A. The minimum value (xmin) ofthe sample (x)B. The first quartile

156Chapter 10: Statistics & Regression CalculationsPie graph of sample (x)• Maximum number of divisionis 8.• Calculation range: 0 ≤ x < 10100•

157Chapter 10: Statistics & Regression Calculations2. Specifying statistical graph and graph functions• Up to three graphs can be plotted per samp

158Chapter 10: Statistics & Regression Calculations3. • To set the all plotting ON: Press 1 (1 PlotON).•To set the all plotting OFF: Press 2 (2 P

159Chapter 10: Statistics & Regression Calculations4. Data list operationsDescending sort, ascending sort, changing the list order and deleting th

7Chapter 1: Getting StartedMenu keys (Function of these keys may vary between basic and advanced mode.)M: Enter the Math menu with additional mathemat

160Chapter 10: Statistics & Regression Calculations5. Regression Calculations1. Press S D REG.The Regression menu is displayed.01 Med_Med Med_Med

161Chapter 10: Statistics & Regression Calculations06 Rg_x4Rg_x4 (list name for x, list name for y [, frequency list] [,equation name to store])Fi

162Chapter 10: Statistics & Regression Calculations11 Rg_x–1Rg_x–1 (list name for x, list name for y [, frequency list] [,equation name to store])

163Chapter 10: Statistics & Regression Calculations15 x’value or list x’Finds the estimated value of x for a given value of y by applyingthe funct

164Chapter 10: Statistics & Regression Calculations1. Press S A E.2. Enter the time into list 1 (L1).3. Enter the temperature into list 2 (L2).1.

165Chapter 10: Statistics & Regression Calculations• There are residuals between regression curves and actualvalues.• The residual list stores the

166Chapter 10: Statistics & Regression Calculations• 16 InputList and 17 InputStats specify the above inputmethods.16 InputList: Sets the input mo

167Chapter 10: Statistics & Regression Calculations02 Ftest2samp Two samples data are tested for equality of standard deviation σ1and σ2.ExampleTe

168Chapter 10: Statistics & Regression Calculations3. Press ' E } toselect µ < µ0 and pressE.4. Move the cursor pointer to µ0and input 65

169Chapter 10: Statistics & Regression Calculations4. Press @ h.05 TtestLinreg Tests the significance of the slope for the linear regression and i

8Chapter 1: Getting StartedBasic Key OperationsSince this calculator has more than one function assigned to each key, you will needto follow a few ste

170Chapter 10: Statistics & Regression Calculations06 Tint1samp Finds the confidence interval for the population mean µ.ExampleFind the confidence

171Chapter 10: Statistics & Regression Calculations1. Enter the above data in to lists L1 and L2.2. Press S E 07.The parameter input screenwill ap

172Chapter 10: Statistics & Regression Calculations• µ0 indicates the hypothesis mean, σ indicates the populationstandard deviation, x indicates t

173Chapter 10: Statistics & Regression Calculations10 Ztest1prop Tests the success probability P0 of a population.ExampleA coin was tossed 100 tim

174Chapter 10: Statistics & Regression Calculations3. Press @ h.Answers will be displayed onthe screen, where P^ indi-cates the calculated success

175Chapter 10: Statistics & Regression Calculations13 Zint2samp Finds the confidence bound of two sample means µ1 and µ2.ExampleFind the confidenc

176Chapter 10: Statistics & Regression Calculations2. Enter the appropriate valueinto each field.3. Press @ h.Answers will be displayed onthe scre

177Chapter 10: Statistics & Regression Calculations7. Distribution functionsThe calculator has distribution features to find statistical calculati

178Chapter 10: Statistics & Regression Calculations03 InvNorm( InvNorm(probability [, mean, standard deviation])Finds the value of x of a given no

179Chapter 10: Statistics & Regression Calculations05 cdfT( cdfT(lower limit, upper limit, degree of freedom)Finds the T distribution probability

9Chapter 1: Getting StartedChanging the KeyboardThis calculator is designed with a reversible keyboard, which by utilizing it will not onlychange the

180Chapter 10: Statistics & Regression Calculations08 pdfF( pdfF(value, degree of freedom of numerator, degree offreedom of denominator)Finds the

181Chapter 10: Statistics & Regression Calculations10 pdfbin( pdfbin(trial number, success probability [, success number]))Finds the probability d

182Chapter 10: Statistics & Regression Calculations13 cdfpoi( cdfpoi(mean, value)Finds the probability of a specified range x for a Poisson distri

183Chapter 11Financial FeaturesThe financial calculation features include capabilities for compound interest calcula-tions.Press @ g.The financial men

184Chapter 11: Financial Features•Vertical arrows along the horizontal line indicate the cash flow.An UP arrow indicates inflow (+) and a DOWN arrow i

185Chapter 11: Financial Features11. Input 360 for N (number of payment periods) and press E.The cursor moves to “I%”.12. Input 5 for I% (annualintere

186Chapter 11: Financial Features17. Press E.Usually C/Y (cumulativeinterest per year) is thesame value as P/Y. If not,enter the value instead.18. Pre

187Chapter 11: Financial FeaturesTry it! 2If the monthly payments in the first example is limit to a fixed $800, how muchmust be the present value (PV

188Chapter 11: Financial Features•So, the required amount of down payment is$300,000 – $149,025.29 = $150,974.71.Using the TVM-SOLVER screen, you can

189Chapter 11: Financial Features2. CALC functionsPress @ g B to access the CALC functions.The CALC functions 01 to 05 calculate any of the followingv

Declaration of ConformityGraphing Calculator: EL-9900This device complies with Part 15 of the FCC Rules. Operation is subject to the following twocond

10Chapter 1: Getting StartedHere are the major ingredients for 18 doughnuts:14 cup warm water34 cup warm milk13 cup sugar4 cups all-purpose flour2 egg

190Chapter 11: Financial Features06 Npv ( Npv (Interest rate, initial investment, list of following col-lected investment [, frequency list])Calculate

191Chapter 11: Financial FeaturesThe following CALC functions, 08 Bal, 09 ΣPrn and10 ΣInt require the values of I%, PV and PMTvariables. Enter the val

192Chapter 11: Financial FeaturesConversion functions11 →Apr ( →Apr (effective interest rate, number of settlements)Converts effective interest rate t

193Chapter 11: Financial Features3. VARS MenuThe VARS menu consist of a list of the variables used for the TVM-SOLVER functions.• The VARS menu can be

194Chapter 12The SOLVER FeatureThe SOLVER feature is one of the calculator’s most powerful and distinctive features,and helps you solve math problems

195Chapter 12: The SOLVER Feature1. Enter SOLVER by pressing @ '. The word SOLVERwill flash on the screen, indicating that you are now in theSOLV

196Chapter 12: The SOLVER FeatureNewton’s method is a technique of finding approximate solutionsto a math problem via calculus, when conventional alge

197Chapter 12: The SOLVER Feature6. The following window showsthe approximate value of X(0.449489742), the right sidevalue of the equation(assumed as

198Chapter 12: The SOLVER FeatureThe Graphic method is another way of approximating solutions,using graphical representations. This method is particul

199Chapter 12: The SOLVER FeatureNote: The analysis will be limited to the range specified; a solutionoutside of the analysis range will not be detect

11Chapter 1: Getting Started3. Press 3 b 4 '.4. Press b 18 '.5. Press E.1. Press # to enter thecalculation screen.2. Press C to clear thedi

200Chapter 12: The SOLVER Feature2. Saving/Renaming Equations for Later UseThe expressions you have entered in the SOLVER can be namedand stored:1. Go

201Chapter 12: The SOLVER Feature3. Recalling a Previously Saved EquationTo recall a stored SOLVER equation:1. Go to the SOLVER menu,and press B to se

202Chapter 13Programming FeaturesThe calculator has programming features that enable automatic processing of a seriesof calculations any number of tim

203Chapter 13: Programming Features2. Press C E.A new program window willopen.3. Input the program name(HELLO) on the top line ofthe screen.Up to 8 ch

204Chapter 13: Programming FeaturesWhen a line exceeds the width of the screen, the display willshift to the left.12. Press E.The cursor will move to

205Chapter 13: Programming FeaturesAfter pressing E, } or {, the line will be stored inmemory. Otherwise, it is not stored. Be sure to store the all l

206Chapter 13: Programming Features3. Variables• Single letters (uppercase letter from A to Z and θ) can be used as variables.• Defined once in one pr

207Chapter 13: Programming Features5. Programming commands•Print, Input, Wait, Rem, End and other commands can be used in a program.Screen settings, d

208Chapter 13: Programming Features4 Wait Wait [natural number (1 to 255)]Interrupts execution for the(natural number) of seconds. Ifno value is speci

209Chapter 13: Programming FeaturesB BRNCH menu P BSee 6. Flow control tools on page 214.C SCRN menu P CC SCRN menu commands are used to display or

12Chapter 1: Getting StartedOn the Basic Mode, you can toggle between decimal values,mixed values, and improper fractions using >, /, and<, resp

210Chapter 13: Programming FeaturesE SETUP menu P ESETUP menu commands are used to set the various settingsused in graphing and calculations.01 Rect

211Chapter 13: Programming Features12 FloatPt FloatPt13 Fix Fix14 Sci Sci15 Eng Eng16 Tab Tab integer (0 to 9)Sets the number display mode to floating

212Chapter 13: Programming Features07 AxisON AxisONSets the specified axis to be displayed on the graph screen.08 AxisOFF AxisOFFSets the specified ax

213Chapter 13: Programming FeaturesG S_PLOT menu P GS_PLOT menu commands are used for statistics plotting.1 Plt 1( Sets the statistical graph setting

214Chapter 13: Programming Features6. Flow control toolsThe calculator has the common flow control tools such as Goto - Label loop struc-tures, and If

215Chapter 13: Programming FeaturesFor variable, initial value, end value [, increment]commands or multiple statementsNext• The increment value can b

216Chapter 13: Programming FeaturesGosub label name...End[Rem start of the subroutine (label name)]Label label nameStatementsReturnS

217Chapter 13: Programming Features5. Press P H, select 2RclLine and press E.The stored line will beinserted at the targetedposition.• Please note tha

218Chapter 13: Programming Features• The commands and functions in the VARS menu can bedisplayed on the screen. Current setting data can also be reset

219Chapter 13: Programming FeaturesExampleThe following data are included in list L1.L1: 165, 182.5, 173.8, 166.5, 185.3A one-variable calculation was

13Chapter 2Operating the GraphingCalculatorBasic / Advanced KeyboardThis calculator comes equipped with a reversible keyboard to support two different

220Chapter 13: Programming FeaturesExecution can be interrupted by pressing O.Use this command if the program enters an infinite loop. Press; or &apos

221Chapter 13: Programming Features10 ⇒ dim(L1)Gosub INSCOREGosub AVGSCOREPlt1(Hist, L1)Zm_StatWaitEndLabel INSCORE1 ⇒ IInput “ENTER SCORE”, AA ⇒ L1(1

222Chapter 14OPTION MenuThe calculator is equipped with OPTION menu for adjusting the display contrast,checking memory usage, deleting stored data, tr

223Chapter 14: OPTION Menu3. If you want check the details,press E.The detailed memory usagewindow will appear.The total remaining memorywill appear o

224Chapter 14: OPTION Menu3. Deleting filesPress @ p C to enter the delete menu.The sub-menu items are the same as those of the Memory Check menu (Lis

225Chapter 14: OPTION Menu2. Press @ p D on both calculators.3. Press 2 on the receiv-ing machine.The receive mode screenwill appear on the display.4.

226Chapter 14: OPTION Menu6. Select the item to send using { / } and pressingE. A “✱” will be placed by the selected item.7. Press @ E to send.8. Tran

227Chapter 14: OPTION Menu• The optional kit CE-LK2 (cable and Windows software) isrequired for calculator to data communication with PC.• Refer to th

228Appendix1. Replacing BatteriesThe calculator uses two different kinds of batteries: manganese (AAA) for unitoperation, and lithium (CR2032) for mem

229AppendixOnce every 5 years, the lithium battery will need to be replaced.The lithium battery is used to maintain the memory of thecalculator.Note:

14Chapter 2: Operating the Graphing Calculator1. Entering numbersUse the number keys (0 ~ 9), decimal point key (.), and negativenumber key (_) to ent

230Appendix1. Perform procedures 1 and 2, as shown above. Do not removethe unit operation batteries.2. Remove the screw and thelithium battery cover,

231Appendix2. Troubleshooting GuideRefer to the list of possible symptoms, and solutions may be found here.The calculator’s power won’t turn on!• The

232AppendixThe screen images cannot be stored (SLIDE SHOW)• The available memory may be too small to store the screenimage. Select “B MEMCHK” under @

233Appendix3. SpecificationsModel EL-9900Product name Graphing CalculatorDisplay 132 x 64 dot matrix liquid crystal displayNumber of digits: mantissa

234AppendixList features Direct data entry/edit to list, calculation function for variouslists, and list/matrix conversion.Substitution features Graph

235Appendix4. Error Codes and Error MessagesErrorCodeDescriptionError MessageSyntax Syntax error found in equation/programCalculate Calculation-relate

236Appendix38404142434445464748495051525370719099Too many obj More than 30 objects selected.Lbl duplicate Labels with identical name found in program.

237Appendix5. Error Conditions Relating to Specific Tasks1. Financial* Define constants “r” and “s” as used in the equation below.r =S = 1 (Pmt_Begin)

238Appendix3. FV calculation1 If r ≠ 0, r > -11 – (1 + r)-nrPV + (1 + r × s) × × PMT(1 + r)-nFV = –2 If r = 0FV = -n × PMT – PV

239AppendixCalculation result→XregCalculation result→Xregµ: Meanσ: StandarddeviationHowever: Γ(s) = ∫∞0 xs–1 e-x dx2. Error conditions during financia

15Chapter 2: Operating the Graphing Calculator2. Performing standard math calculationsBy utilizing the + - | and = keys, you can perform the standarda

240Appendix3 pdfχ2(f (χ2, df) =df22Γ ( )df2– 1χ22e(- )χ22( )14 pdfF(f (x) = ( )m2m + n2m + n2Γ ( )n2Γ ( )Γ ( )mn(1 +

241Appendix6. Calculation Range1. Arithmetic calculationThe results for dividend, multiplicand and operand are:-1 × 10100 < x ≤ -1 × 10-99, 1 × 10-

242Appendixln xlog xex10xx-1x2xn!ab (^)banPrnCrdecbinocthexFunction Calculation range Notesln x = loge xe.=. 2.71828...x ≠ 0n is an integer orinteger

243AppendixFunction Calculation range Notes→dms→degxy → rxy → θrθ → xrθ → ynotnegStatisticcalcula-tionsr = x2 + y2θ = tan-1yxx = r cosθy = r sinθThe r

244AppendixFunction Calculation range Notesx_sxσxrbay’x’Same for y_, sy andσyRegression calcula-tions excluding 2nd,3rd, and 4th degreepolynomials.Sam

245Appendix3. Complex number calculationIn a complex number calculation, a calculation error may occur and increase due toinner continuous calculation

246Appendix7. CATALOG FeaturePress @ j to display the CATALOG menu.You can directly access various features and commands from the CATALOG menu.CATALOG

247Appendix8. List of Menu/Sub-menu ItemsCATALOG function lets you access almost all the functions and commands.Square brackets indicate that the valu

248AppendixMMMM NUMabs( abs(value)B 1 B 173/43round( round(value [, digit number of decimals])B 2 B 273/44ipart ipart valueB 3 B 373/44fpart fpart val

249Appendix2. LIST menusgvalue gE 576MMMM INEQ=value A = value BF 176≠value A ≠ value BF 276>value A > value BF 376≥value A ≥ value BF 476<va

16Chapter 2: Operating the Graphing CalculatorExampleEnter “655364 × 83” in the Calculation screen. Jump the cursorto the beginning of the expression

250AppendixL2 No argumentsA 2132L3 No argumentsA 3132L4 No argumentsA 4132L5 No argumentsA 5132L6 No argumentsA 6132sortA(sortA(list name [, subordina

251Appendix3. STAT menus@@@@ llll { }{ No argumentsE 1132} No argumentsE 2132FunctionsCommandsSyntaxKeystrokesPageAdvanced mode Basic modeSSSS EDIT/OP

252AppendixRg_abxRg_abx (list name for x, list name for y [, frequency list] [, equation name to store])D 0 9 D 4161Rg_aebxRg_aebx (list name for x, l

253Appendix4. STAT PLOT menuscdfnorm(cdfnorm(lower limit, upper limit [,mean, standard deviation])F 0 2177InvNorm( InvNorm(probability [, mean, standa

254Appendix5. DRAW menusBroken + No argumentsB 2 B 2154Broken No argumentsB 3 B 3154Norm •_X No argumentsC 1 C 1154Norm+_X No argumentsC 2 C 2154Norm

255Appendix6. ZOOM menusDraw Draw equationA 6 A 6107Shade( Shade(equation 1, equation 2 [, begin, end])A 7 A 7107DrawInvDrawInv equationA 8 A 8108Circ

256AppendixIn Zm_InNo argumentsA 3 A 354Out Zm_OutNo argumentsA 4 A 454Default Zm_DefaultNo argumentsA 5 A 554Square Zm_SquareNo argumentsA 6 A 654Dec

257Appendix7. CALC menussin-1 xZm_sin-1No argumentsE 497cos-1 xZm_cos-1No argumentsE 597tan-1 xZm_tan-1No argumentsE 697ZZZZ HYP/STO/RCLsinh xZm_sinhN

258Appendix8. SLIDE SHOW menus9. PRGM menusFunctionsCommandsSyntaxKeystrokesPageAdvanced mode Basic mode]]]] CURR/PLAY/NEW/SELECT/EDITCURR No argument

259AppendixFor For variable, start value, end value [, increment]commands NextB 0 7215NextB 0 8215While While conditional statements commands WEndB 0

17Chapter 2: Operating the Graphing CalculatorEditing Entries* See page 26 for details.The calculator has the following two editing modes: equationmod

260AppendixDecimal No argumentsE 1 7211Mixed No argumentsE 1 8211Improp No argumentsE 1 9211x ± yi No argumentsE 2 0211r ∠ θ No argumentsE 2 1211PPPP

261Appendix10. MATRIX menusPPPP (in the Prgramming mode) COPYStoLine No argumentsH 1216RclLine No argumentsH 2217FunctionsCommandsSyntaxKeystrokesPage

262Appendix11. FINANCE menusaugment( augment(matrix name A, matrix name B)C 0 4126identity identity dimension valueC 0 5126rnd_mat( rnd_mat(number of

263Appendix12. TOOL menusIrr(Irr(initial investment, list of following collected investment [, frequency list] [, assumed revenue rate])B 0 7190Bal(Ba

264Appendix13. SOLVER menus6 No argumentsB 6822 No argumentsC 2823 No argumentsC 382FunctionsCommandsSyntaxKeystrokesPageAdvanced mode Basic mode@@@@

265AppendixINDEX: (colon) ... 134, 214(n-1)-based (Web), sequence ...

266AppendixCONV ... 48CONV, MATH ...

267AppendixFFACTOR, ZOOM ... 55Factorial ...

268AppendixKKey, PRGM ... 208Keyboard, changing the ...

269AppendixOPE menu, List ... 135OPE menu, Matrix... 125OPE

18Chapter 2: Operating the Graphing CalculatorExampleType 4500000, then remove 500.# C 4 5 0 0 0 0 0 ;; ; B BBTips: You can jump the cursor to the beg

270AppendixRclLD, L_DATA ... 143RclPict, PICT ...

271AppendixSLIDE SHOW ... 115SLIDE SHOW key ... 6SLID

272Appendixuw, TYPE ... 96VValue, CALC ...

In Europe:NOTE: FOR NETHERLANDS ONLYFor USA only:This product contains a CR Coin Lithium Battery whichcontains Perchlorate Material – special handling

EL-9900MODELEL-9900 GRAPHING CALCULATORGRAPHING CALCULATOROPERATION MANUALSHARP CORPORATIONPRINTED IN CHINA/IMPRIMÉ EN CHINE/IMPRESO EN CHINA06JGK(TIN

19Chapter 2: Operating the Graphing CalculatorALPHA KeyUse A to enter an alphabet character. With the Basic keyboard, all 26 alphabetcharacters from “

iIntr oductionThis graphing calculator can handle many types of mathematical formulas andexpressions for you. It is powerful enough to process very c

20Chapter 2: Operating the Graphing CalculatorMath Function KeysMathematical functions can be called up quickly with the Math Function keys. TheMath F

21Chapter 2: Operating the Graphing Calculatorc Enters an arc cosine function at the cursort Enters a tangent function at the cursort Enters an arctan

22Chapter 2: Operating the Graphing CalculatorNote: If a number precedes d b a and _, then thenumber will be set as the first entry of the figure. Els

23Chapter 2: Operating the Graphing CalculatorMATH, STAT, and PRGM Menu KeysBy using the M, S, and P keys, you can access many menu items forcomplex c

24Chapter 2: Operating the Graphing Calculator5. Type 3 4 . 5 6 7 ,0 ), and press E.SETUP MenuUse this menu to verify basic configurations, such as to

25Chapter 2: Operating the Graphing Calculator4. Press # C to clearthe Calculation screen, type1 0 0 0 y, then E.SETUP Menu ItemsDRG: For trigonometri

26Chapter 2: Operating the Graphing CalculatorTAB: Sets the number of digits beyond the decimal point (0 through 9).The default is “9”.COORD: Sets the

27Chapter 2: Operating the Graphing CalculatorNotes: Immediately after changing the EDITOR, the calculator will returnto the calculation screen and th

28Chapter 2: Operating the Graphing Calculator7) Multiplications between a number and a function in #6(3cos20, etc. “cos20” is evaluated first)8) Perm

29Chapter 2: Operating the Graphing CalculatorResetting the CalculatorUse the reset when a malfunction occurs, to delete all data, or to set all mode

iiIntroductionReversible KeyboardThis calculator comes equipped with a reversible keyboard. Reverse the keyboard toselect Basic Mode or Advanced Mode.

30Chapter 2: Operating the Graphing Calculator• The message on the right mayoccasionally appear. In thiscase, repeat the procedurefrom step 1 to preve

31Chapter 3Basic Calculations —Basic KeyboardIn this chapter, we explore more features of this calculator using the Basic Keyboard.Features such as fr

32Chapter 3: Basic Calculations — Basic KeyboardCONCEPT1. Enter a math expression, then perform the calculation.2. Save a number into a variable, then

33Chapter 3: Basic Calculations — Basic Keyboard2. Arithmetic KeysThere are various keys for arithmetic calculations. Use the +- | =, _, ( and ) keys

34Chapter 3: Basic Calculations — Basic Keyboard| Enters a “×” sign for multiplication.Example• Multiply 12 by 34.1 2 | 3 4 E= Enters a “÷” sign for d

35Chapter 3: Basic Calculations — Basic Keyboard( Enters an open parenthesis. Use with “)” as a pair, or the calcula-tion will result in an error.) En

36Chapter 3: Basic Calculations — Basic KeyboardSpecifying a common factorSimplify the fraction using the specified common factor.Example1 b 12 '

37Chapter 3: Basic Calculations — Basic Keyboardi Performs an integer division, and returns a quotient and aremainder.Example• Get a quotient and a re

38Chapter 3: Basic Calculations — Basic Keyboardb Enters a fraction, setting the preceding number as its numerator.* If the calculator is set to one-l

39Chapter 3: Basic Calculations — Basic Keyboardx Enters an “x”, an unknown variable. Use this key when workingwith graph equations. Refer to Chapter

iiiIntroductionAdvanced Mode (Default mode)A blue background color keyboard with advanced mathematical functions. This modeis suitable for learning or

40Chapter 3: Basic Calculations — Basic Keyboardr Recalls a variable.Example• Set C = 8.8 R A C ERecall the value of C.@ r A C Ez Accesses the VARS me

41Chapter 3: Basic Calculations — Basic Keyboarde Recalls the previous entry. This is useful when you want to modifythe previous entry, rather than re

42Chapter 3: Basic Calculations — Basic Keyboard4. Calculations Using MATH Menu ItemsThe MATH menu contains functions used for more elaborate math con

43Chapter 3: Basic Calculations — Basic Keyboard3 tan Enters a tangent function to be used in a trigonometric calcula-tion.Example• Calculate tangent

44Chapter 3: Basic Calculations — Basic Keyboard2 round( round(value [, digit number of decimals])Returns the rounded value of the term in parenthese

45Chapter 3: Basic Calculations — Basic Keyboard6 min( min(list)Finds and returns the minimum value within a list of numbers. Todefine a list of more

46Chapter 3: Basic Calculations — Basic Keyboard0 remainnatural number remain natural numberReturns the remainder of a division.Example• Obtain the r

47Chapter 3: Basic Calculations — Basic Keyboard3 rndCoin rndCoin [(number of trial)]Returns a specified number of random integers to simulate a coin

48Chapter 3: Basic Calculations — Basic Keyboard6 nCr Returns the total number of combinations for selecting “r” item outof “n” items.nCr =n!r!(n –

49Chapter 3: Basic Calculations — Basic Keyboard2 →dms Takes a number in decimal form (in degrees), and converts it intoa sexagesimal number. To ente

ivContentsCaring for Your Calculator ...1Chapter 1Getting

50Chapter 4Basic Graphing Features— Basic KeyboardThis chapter takes the knowledge you have gained in Chapter 3 several steps further.Note: To try th

51Chapter 4: Basic Graphing Features — Basic KeyboardCONCEPT1. By using two linear graphs, the approximate crossing pointcan be found.2. The exact cro

52Chapter 4: Basic Graphing Features — Basic KeyboardGraph BasicsThe graph examples in this exercise are called X-Y graphs. AnX-Y graph is quite usefu

53Chapter 4: Basic Graphing Features — Basic Keyboard= : The expression can be represented as a graph.= : The expression cannot be drawn as a graph.•M

54Chapter 4: Basic Graphing Features — Basic Keyboard2 Box A box area can be specified with this sub-menu tool sothat the area within the box will be

55Chapter 4: Basic Graphing Features — Basic KeyboardB FACTORUse this menu to set the vertical and horizontal zooming factor.The factor set under this

56Chapter 4: Basic Graphing Features — Basic KeyboardE TRIG1 sin X Use this when the equation contains a sine function.2 cos X Use this when the equat

57Chapter 4: Basic Graphing Features — Basic KeyboardU: Press this button to trace the graph drawn on the screen, toobtain the X-Y coordinates:1. Whil

58Chapter 4: Basic Graphing Features — Basic Keyboard• When @ " are pressed on the graph screen, the graphand table are displayed on the same sc

59Chapter 4: Basic Graphing Features — Basic KeyboardYGGYG@ " Y@ "@ "The following illustration shows these relationships.• The split s

vContentsChapter 4Basic Graphing Features — Basic Keyboard ... 501. Try it! ...

60Chapter 4: Basic Graphing Features — Basic Keyboardk: Calculations can be performed on the entered graph equation(s).Press @ k to access. The follow

61Chapter 4: Basic Graphing Features — Basic Keyboard4 Maximum Finds the maximum of the given graph, and places theflashing cursor at that position.No

62Chapter 4: Basic Graphing Features — Basic Keyboard2. Press @, and d to enter the DRAW menu, then pressG to select G SHADE. The SHADE sub-menu appea

63Chapter 4: Basic Graphing Features — Basic Keyboardf: The graph appearance can be set and verified under this menu.Press @ f to access.A –––––– Dis

64Chapter 4: Basic Graphing Features — Basic Keyboard1. Press @ ,.The substitution featurescreen will appear. Theequation on which the cursorpointer i

65Chapter 4: Basic Graphing Features — Basic Keyboard2. Press 2 E.(2 is input to A.)The graph for “Y1 = 2X2” isdrawn. (Since B and C haveno values, th

66Chapter 5Advanced Calculations —Advanced KeyboardNote: To try the examples in the chapter, it is required that the Advanced Keyboard isalready set u

67Chapter 5: Advanced Calculations — Advanced KeyboardPROCEDURE1. Since the angle of elevation is measured in degrees, thecalculator’s angle setting w

68Chapter 5: Advanced Calculations — Advanced Keyboards Enters a sine function to be used in a trigonometric expression.c Enters a cosine function to

69Chapter 5: Advanced Calculations — Advanced KeyboardThe following math functions can be accessed with the use of @ key. To learn thebasic steps of h

viContentsChapter 9List Features ... 1311. Tr

70Chapter 5: Advanced Calculations — Advanced Keyboardx Raises a preceding value to the power of -1. If no value ispreceded, then the cursor will be p

71Chapter 5: Advanced Calculations — Advanced Keyboard02 2X2valueRaises 2 to a power. Sets the cursor to exponent.03 fmin( fmin(equation, lower limit

72Chapter 5: Advanced Calculations — Advanced Keyboard08 ∑( ∑(expression, initial value, end value [, increment])Returns the cumula-tive sum of a give

73Chapter 5: Advanced Calculations — Advanced Keyboard18 sinh-1sinh-1 valueEnters an inversehyperbolic sine.19 cosh-1cosh-1 valueEnters an inversehype

74Chapter 5: Advanced Calculations — Advanced KeyboardC PROB These sub-menu items are useful for probability calculations.Refer to “Chapter 3: Basic C

75Chapter 5: Advanced Calculations — Advanced KeyboardRectangular to polar coordinate conversion functionsConversion formulas: r = (x2 + y2)1/2, θ =

76Chapter 5: Advanced Calculations — Advanced KeyboardE ANGLE Use these tools to enter the symbols to specify angle units.1 ° Inserts a symbol for “de

77Chapter 5: Advanced Calculations — Advanced KeyboardG LOGIC Use the LOGIC sub-menu items to perform boolean operations.In the N-base calculation mod

78Chapter 5: Advanced Calculations — Advanced Keyboard4 neg neg valueEnters a “neg” logicfigure.M 4 1ENote: “4 neg” menuappears only in the N-base ca

79Chapter 5: Advanced Calculations — Advanced Keyboard2 real( real(complex number)Returns the real partof a complex number(or list of complexnumbers).

viiContentsChapter 13Programming Features ... 2021. Try it! ..

80Chapter 5: Advanced Calculations — Advanced KeyboardExample• Calculate (3 + 4i) × (4 – 6i)Note: It is possible to input complexnumbers (i) in the re

81Chapter 5: Advanced Calculations — Advanced Keyboard5. TOOL MenuThe TOOL menu contains items to help calculating in different number systems, aswell

82Chapter 5: Advanced Calculations — Advanced KeyboardB SYSTEM With this tool, linear equations containing up to 6 unknown values(i.e., ax + by + cz +

83Chapter 5: Advanced Calculations — Advanced Keyboard3. Enter the values, as shownin the screen to the right.Pressing E at eachentry will store the v

84Chapter 6Advanced Graphing Features— Advanced KeyboardIn this chapter, some real-life situations are featured. You are encouraged to modifythe examp

85Chapter 6: Advanced Graphing Features — Advanced KeyboardCONCEPT1. Grasp the idea of sequential equations.2. Use the graph tracing function to obtai

86Chapter 6: Advanced Graphing Features — Advanced Keyboard7. Press G to draw the graph.8. If the line is outside of thegraph’s range, press Zthen 1 t

87Chapter 6: Advanced Graphing Features — Advanced Keyboard2. Graphing Parametric EquationsA two-dimensional parametric equation assumes that both X a

88Chapter 6: Advanced Graphing Features — Advanced Keyboard3. Polar GraphingPolar coordinates are a different method of specifying a point in two dime

89Chapter 6: Advanced Graphing Features — Advanced Keyboard4. Graphing SequencesThe sequence graph mode can store and simultaneously draw three graph