Page 2 NOTICE • The material in this manual is supplied without representation or warranty of any kind. SHARP assumes no responsibility and shall have no liability of any kind, consequential or otherwise, from the use of this material. • SHARP strongly recommends that separate permanent written records be kept of all important data.
Page 3: Table Of Contents
Contents Caring for Your Calculator ....................7 Chapter 1 Getting Started ......................8 Before Use ........................8 Using the Hard Cover ....................10 Part Names and Functions .................... 11 Main Unit ....................... 11 Basic Key Operations ....................15 Quick Run-through ......................16 Chapter 2 Operating the Graphing Calculator ................18 Basic Key Operations - Standard Calculation Keys ............
Page 4 Contents Chapter 4 Graphing Features .......................68 1. Try it! .......................... 68 2. Try it! .......................... 71 3. Explanations of Various Graphing Keys ..............74 4. Graph Modes ......................79 5. Graphing Parametric Equations ................. 80 6. Polar Graphing ......................81 7.
Page 5 Contents Chapter 7 List Features ......................132 1. Try it! ........................132 2. Creating a list ......................134 3. Normal List Operations .................... 134 4. Special List Operations .................... 136 Calculations using the OPE menu functions ............136 Calculations using MATH Menus ................. 140 Calculations using VECTOR Menus ..............
Page 6 OPTION Menu ......................222 Accessing the OPTION Menu ..................222 1. Adjusting the screen contrast ................222 2. Checking the memory usage ................222 3. Deleting files ....................224 4. Linking to another EL-9950 or PC ..............224 5. Reset function ....................227...
Page 7 Contents Appendix 1. Replacing Batteries....................228 2. Troubleshooting Guide ..................... 231 3. Specifications ......................233 4. Error Codes and Error Messages ................235 5. Error Conditions Relating to Specific Tasks ............. 237 1. Financial ......................237 2. Error conditions during financial calculations ........... 239 3.
Page 8: Caring For Your Calculator
• Clean with a soft, dry cloth. Do not use solvents. Avoid using a rough cloth or anything else that may cause scratches. • Do not use a sharp pointed object or exert too much force when pressing keys. • Avoid excessive physical stress.
Page 9: Chapter 1 Getting Started
Chapter 1 Getting Started Before Use Inserting 1. Open the battery cover batteries - located on the back of the resetting the calculator. Pull down the memory notch, then lift the battery cover up to remove it. 2. Insert the batteries, as indicated.
Page 10 Chapter 1: Getting Started Note: If the above message does not appear or malfunction occurs, check the direction of the batteries and close the cover again. If this does not solve the problem, remove the battery cover, and then gently push the RESET switch with the tip of a ball-point pen or a similar object while pressing O simultaneously.
Page 11: Using The Hard Cover
Chapter 1: Getting Started Using the Hard Cover To open the cover: When in use: When not in use:...
Page 12: Part Names And Functions
Chapter 1: Getting Started Part Names and Functions Main Unit 1 Display screen 2 Power ON/ 4 Graphing keys OFF key 5 Cursor keys 3 Key operation keys...
Page 13 Chapter 1: Getting Started 1 Display screen: Displays up to 132 pixels wide by 64 pixels tall of graphs and texts. 2 Power ON/OFF key: Turns calculator ON. To turn off the calculator, press @, then o . 3 Key operation keys: These keys are used to change the key functions.
Page 14 Chapter 1: Getting Started 5 Cursor keys: Enables you to move the cursor (appears as _, ■, etc. on the screen) in four directions. Use these keys also to select items in the menu. Reset switch (in the battery compartment): Used when replacing batteries or clear the calculator memory.
Page 15 Chapter 1: Getting Started Menu keys Enter the Math menu with additional mathematical functions. Enter the statistics menu. Enter the programming menu. Converts hexadecimal, decimal, octal and binary numbers or solves systems of linear equations, finds roots for quadratic and cubic equations.
Page 16: Basic Key Operations
Chapter 1: Getting Started Basic Key Operations Since this calculator has more than one function assigned to each key, you will need to follow a few steps to get the function you need. Example @ x : Specify x A F : Specify character F Operation of y y : Specify x •...
Page 17: Quick Run-Through
Chapter 1: Getting Started Quick Run-through Here are the major ingredients for 18 doughnuts: cup warm water cup warm milk cup sugar 4 cups all-purpose flour 2 eggs 3 tablespoons butter Based on these values, solve the following problems using the calculator. Question If you make 60 doughnuts according to the above recipe, how many cups of warm milk are required?
Page 18 Chapter 1: Getting Started 3. Press 3 b 4 '. Enter fractions 4. Press b 18 '. 5. Press E. Now we have found of a cup of warm milk is required per one doughnut, how many cups are required for 60 doughnuts? If you want to use the answer of the previous calculation, press b and you do not have to reenter the value.
Page 19: Operating The Graphing Calculator
Chapter 2 Operating the Graphing Calculator Basic Key Operations - Standard Calculation Keys The standard calculation keys, located at the bottom four rows of the keyboard, enable you to access the basic functions of the calculator. 1. Entering numbers Use the number keys (0 ~ 9), decimal point key (.), and negative number key (_) to enter numbers into the calculator.
Page 20 Chapter 2: Operating the Graphing Calculator $ can be used to enter a value in scientific notation. Note: Example × × # C 6.3 $ 8 4.9 $ 7 The negative number key _ can be used to enter numbers, Entering a lists, and functions with negative values.
Page 21: Performing Standard Math Calculations
Chapter 2: Operating the Graphing Calculator 2. Performing standard math calculations By utilizing the + - | and = keys, you can perform the standard arithmetic calculations of addition, subtraction, multiplication, and division. Press E to perform each calculation. Perform an Example ×...
Page 22 Chapter 2: Operating the Graphing Calculator Example × ” in the Calculation screen. Then press E Enter “ 65536 to calculate. 1. Press #, then C to clear the display. 2. Enter 4 for the root’s depth, then press @ _ . The root figure is entered, with the cursor automatically placed below the figure.
Page 23: Editing Entries
Chapter 2: Operating the Graphing Calculator Editing Entries Editing modes The calculator has the following two editing modes: equation mode, and one line mode. You can select one from the G EDITOR menu of the SETUP menu. Equation editor One line editor * See page 31 for details.
Page 24: Second Function Key
Chapter 2: Operating the Graphing Calculator Example Type 4500000, then remove 500. # C 4 5 0 0 0 0 0 ; ; ; B B Tips: You can jump the cursor to the beginning or the end of line by using the @ and ;...
Page 25: Alpha Key
Chapter 2: Operating the Graphing Calculator ALPHA Key Use A to enter an alphabet character. All 26 characters accessible, as well as “θ ”, “=”, “ : ”, and space. All functions associated with A are color coded green, and are printed above each key.
Page 26: Math Function Keys
Chapter 2: Operating the Graphing Calculator Math Function Keys Mathematical functions can be called up quickly with the Math Function keys. Enters a sine function at the cursor Enters an arc sine function at the cursor Enters a cosine function at the cursor Enters an arc cosine function at the cursor Enters a tangent function at the cursor Enters an arctangent function at the cursor...
Page 27 Chapter 2: Operating the Graphing Calculator If a number precedes d b a and _ , then the Note: number will be set as the first entry of the figure. Else, the first entry is blank and the cursor flashes. Examples 2 d 3 } ;...
Page 28: Math, Stat, And Prgm Menu Keys
Chapter 2: Operating the Graphing Calculator MATH, STAT, and PRGM Menu Keys By using the M, S, and P keys, you can access many menu items for complex calculation tasks. The appendix “List of Menu/Sub-menu Items” shows the contents of each, with detailed descriptions of each sub-menu item. Example Round the following number beyond the decimal point: 34.567 1.
Page 29: Setup Menu
Chapter 2: Operating the Graphing Calculator SETUP Menu Use this menu to verify basic configurations, such as to define the calculator’s editing preferences, and scientific and mathematical base units. To check the current configuration of the calculator, press @, Checking the calculator’s then ;...
Page 30: Setup Menu Items
Chapter 2: Operating the Graphing Calculator SETUP Menu Items DRG: For trigonometric calculations and coordinate conversions, various angle units can be selected: Please make sure to use the appropriate angle unit when making trigonometric calculations (e.g. sin, cos). Angle values to be set in degrees. (360°) Angle values to be set in radians (default).
Page 31 Chapter 2: Operating the Graphing Calculator COORD: Sets the calculator to various graph coordinate systems. Rect Rectangular coordinates (default) Param Parametric equation coordinates Polar Polar coordinates Sequential graph coordinates ANSWER: Sets the answer preference to various number formats. Decimal (Real) Answers will be given in decimal form (default).
Page 32 Chapter 2: Operating the Graphing Calculator EDITOR: Sets the editing style to one of two available formats. Equation Formulas can be entered in a "type it as you see it approach" (default setting). One line Formulas will be displayed on one line. Note: Immediately after changing the EDITOR, the calculator will return to the calculation screen and the following data will be cleared.
Page 33: Calculations Using Math Menu Items
Chapter 2: Operating the Graphing Calculator Calculations Using MATH Menu Items The MATH menu contains functions used for more elaborate math concepts such as trigonometry, logarithms, probability, and math unit/format conversions. The MATH menu items may be incorporated into your expressions. A Note about The degree and radian systems are two of the basic methods Degrees and...
Page 34 Chapter 2: Operating the Graphing Calculator 06 ∫ ∫ equation, lower limit, upper limit [, tolerance] dx Calculates an integral value of equation Y from the lower limit to the upper limit using the specified tolerance (if not specified, default value is 1E–5). Use in conjunction with the 07 dx sub-menu item.
Page 35 Chapter 2: Operating the Graphing Calculator 13 csc value Enters an inverse cosecant. 14 cot value Enters an inverse cotangent. 15 sinh sinh value Enters a hyperbolic sine. 16 cosh cosh value Enters a hyperbolic cosine. 17 tanh tanh value Enters a hyperbolic tangent.
Page 36 Chapter 2: Operating the Graphing Calculator 3 ipart ipart value Returns only the integer part of a decimal number. * A real number, a list, matrix, variable, or equation can be used as values. Example • Discard the fraction part of 42.195. (=42) M B 3 4 2 .
Page 37 Chapter 2: Operating the Graphing Calculator 8 lcm( lcm(natural number, natural number) Returns the least common multiple of two integers. Example • Find the least common multiple of 12 and 18. M B 8 1 2 , 1 8 ) E 9 gcd( gcd(natural number, natural number) Returns the greatest common divisor of two integers.
Page 38 Chapter 2: Operating the Graphing Calculator rndNorm( mean, standard deviation [,number of trial] ) 3 rndNorm( Returns a random real number from a specified normal distribution. * Number of trial : 1 ≤ n ≤ 999 ( n is an integer.) Standard deviation : 0 <...
Page 39 Chapter 2: Operating the Graphing Calculator Returns a factorial. Example • Calculate 6 × 5 × 4 × 3 × 2 × 1. 6 M C 7 E D CONV These tools deal with conversions between different angle units and between rectangular and polar coordinates.
Page 40 Chapter 2: Operating the Graphing Calculator Rectangular/polar coordinate conversion This calculator is equipped with rectangular coordinates and polar coordinates conversion capabilities. θ Rectangular to polar coordinate conversion functions Conversion formulas: r = (x , θ = tan (y/x) Polar to rectangular coordinate conversion functions Conversion formulas: x = rcos θ...
Page 41 Chapter 2: Operating the Graphing Calculator E ANGLE Use these tools to enter the symbols to specify angle units. 1 ° Inserts a degree, and sets the preceding value in degrees. 2 ’ Inserts a minute, and sets the preceding value in minutes. 3 ”...
Page 42 Chapter 2: Operating the Graphing Calculator G LOGIC Use the LOGIC sub-menu items to perform boolean operations. In the N-base calculation mode (binary, octal, decimal and hexadecimal), A LOGIC will directly appear when M is pressed. The following is the truth table of the combination of input A and B: A and B A or B A xor B...
Page 43 Chapter 2: Operating the Graphing Calculator 4 neg neg value Enters a “neg” logic figure. M 4 1 E Note: “4 neg” menu appears only in the N-base calculation (binary, octal, decimal and hexadecimal) mode. 5 xor value A xor value B Enters an Exclusive-OR (xor) logic figure.
Page 44 Chapter 2: Operating the Graphing Calculator 3 image( image(complex number) Returns the imaginary part of a complex number (or list of complex numbers). 4 abs( abs(complex number) Returns the absolute value of a complex number (or list of complex numbers). 5 arg( arg(complex number) Takes the coordinates (x + yi),...
Page 45 Chapter 2: Operating the Graphing Calculator Functions available for complex number calculations The following function keys are available for complex number calculations without the limits existing in the real number calculations. y, x , l, I, 0 , @ , a, + , _ The following MATH menu functions are also available for complex number calculations.
Page 46: Precedence Of Calculations
Chapter 2: Operating the Graphing Calculator Precedence of Calculations When solving a mathematical expression, this calculator internally looks for the following figures and methods (sorted in the order of evaluation): 1) Fractions (1/4, a/b, , etc.) 2) Complex angles (∠) 3) Single calculation functions where the numerical value occurs before the function (X , !, “°”, “...
Page 47: Error Messages
Chapter 2: Operating the Graphing Calculator • About the order of precedence of the multiplications, that the multiplication sign "×" before such as "(", π and a variable is abbreviated, are higher than that of the multiplications that the multiplication sign "×" is not abbreviated. Therefore, if there is a division before a multiplication, the order of calculations may be changed and then the calculation results may be changed.
Page 48: Resetting The Calculator
Chapter 2: Operating the Graphing Calculator Resetting the Calculator Use the reset when a malfunction occurs, to delete all data, or to set all mode values to the default settings. The resetting can be done by either pressing the reset switch located in the battery compartment, or by selecting the reset in the OPTION menu.
Page 49: Selecting The Reset Within The Option Menu
Chapter 2: Operating the Graphing Calculator • The message on the right may occasionally appear. In this case, repeat the procedure from step 1 to prevent loss of data. 2. Selecting the RESET within the OPTION menu 1. Press @, then p . The OPTION menu appears.
Page 50: Manual Calculations
Chapter 3 Manual Calculations 1. Try it! The speed of light is known to be 186,282 miles (approximately 300,000 kilometers) per second. That means light can go around the earth 7 and a half times within a second! Suppose you are standing at the equator. While the earth rotates over the period of one day, you also rotate around the globe at a certain speed.
Page 51 Chapter 3: Manual Calculations CONCEPT 1. Enter a math expression, then perform the calculation. 2. Save a number into a variable, then recall the value later. PROCEDURE 1. First, press #, then C to clear any screen entries. 2. Type 186282 = 7.5, then press E.
Page 52: Try It
Chapter 3: Manual Calculations 2. Try it! The Mendocino Tree, a coast redwood growing in Montgomery Woods State Reserve in California, is known to be the tallest living tree in the world. You are to find out how tall the tree is by using the following factors: •...
Page 53: Arithmetic Keys
Chapter 3: Manual Calculations 4. Press 505.8 | Press E to execute the calculation. 3. Arithmetic Keys There are various keys for arithmetic calculations. Use the + Performing - | =, _, ( and ) keys to perform addition, basic arithmetic calculations. Press E to solve an equation. subtraction, multiplication and division...
Page 54 Chapter 3: Manual Calculations Enters a “×” sign for multiplication. Example • Multiply 12 by 34. 1 2 | 3 4 E Enters a “÷” sign for division. Example • Divide 54 by 32. 5 4 = 3 2 E The multiplication sign can be left out when: When to leave out the “×”...
Page 55: Calculations Using Various Function Keys
Chapter 3: Manual Calculations Example • Calculate (4 + 6) ÷ 5. ( 4 + 6 ) = Note: Functions, such as “round(”, automatically include an open parentheses. Each of these functions needs to be closed with a closing parenthesis. 4.
Page 56 Chapter 3: Manual Calculations Enters an arccosine function to be used in a trigonometric expression. Example • Calculate arccosine 0.5. @ c 0.5 E Enters an arctangent function to be used in a trigonometric expression. Example • Calculate arctangent 1. Note: Expressions with inverse trigonometric functions evaluate in the following ranges.
Page 57 Chapter 3: Manual Calculations Enters a natural logarithm function. Example • Calculate In e I @ @ 4 E. Enters the Euler Number e (2.71…) to a power. The cursor will then be placed at the exponent. Example • Obtain a value of e @ @ 3 E.
Page 58 Chapter 3: Manual Calculations Note: When no value is entered prior to this key, the number areas will be left blank. * If the calculator is set to one-line mode, d enters “ ” (integer- fraction separator) only. Use d in combination with b as follows.
Page 59 Chapter 3: Manual Calculations Note: When no base value is entered, “a ” will be entered with both number areas left blank. C a ; 4 ' 5 E When calculating x to the power of m-th power of n, enter as follows;...
Page 60 Chapter 3: Manual Calculations Stores a number in a variable. Example • Let A = 4, and B = 6. Calculate A + B. 4 R A A E 6 R A B E A A + A B E Recalls a variable.
Page 61 Chapter 3: Manual Calculations Recalls the previous entry. This is useful when you want to modify the previous entry, rather than reenter the whole expression over. Example • Calculate 4 × 6. 4 | 6 E Next, calculate 4 × 8. @ e B 8 E Note: Executed expressions are stored in a temporary memory in the...
Page 62 Chapter 3: Manual Calculations →a b/c Converts an improper fraction to a mixed number. Example • Change to a mixed number. 12 b 5 ' →a b/c →A. xxx Converts a fraction to a decimal number. Example • Change to a decimal number. 12 b 5 ' →A.
Page 63 Chapter 3: Manual Calculations int÷ Executes an integer division and returns its quotient and remainder. Example • Get a quotient and a remainder of 50 ÷ 3. 50 int÷ 3 E * Quotient value is set to Ans memory and remainder is not stored.
Page 64 Chapter 3: Manual Calculations Simp Simplifies a given fraction stored in the ANSWER memory. • Set the ANSWER mode to Mixed(Real) or Improp (Real), and the SIMPLE mode to Manual in the SETUP menu to use this key. Specifying no common factor Simplify the fraction using the lowest common factor other than 1.
Page 65 Chapter 3: Manual Calculations Set the preceding value as a percentage. Example • Get 25% of 1234. 1 2 3 4 | 2 5 % E * Percentage must be a positive value equal to or less than 100. Note : •...
Page 66: More Variables: Single Value Variables And List Variables
Chapter 3: Manual Calculations 5. More Variables: Single Value Variables and LIST Variables Additional single value variables (from A to Z, and θ) may be accessed. In addition, six LIST variables (from L1 to L6) are readily accessible through the second function. To save a list of numbers, follow the procedure below: 1.
Page 67 Chapter 3: Manual Calculations 2. Type 1B | 9, for example. When entering the hexadecimal B, simply press the B key; using the A key will call up the variable B instead. 3. When done entering the hexadecimal expression, press E. The calculation result will be displayed in three other number base systems, as well as in hexadecimal format.
Page 68 Chapter 3: Manual Calculations 4. When done entering the known values, press @ h . The calculation result will be displayed on the next screen. Pressing C will bring back the previous entry screen. 5. To go back to the TOOL menu to perform another calculation, press @ V.
Page 69: Chapter 4 Graphing Features
Chapter 4 Graphing Features 1. Try it! There are two taxi cab companies in your city, Tomato Cab and Orange Cab, with different fare systems. The Tomato Cab charges 2.00 Euro upon entering the taxi cab, and 1.80 Euro for each mile the taxi travels. The Orange Cab, on the other hand, charges 3.50 Euro plus 1.20 Euro per mile.
Page 70 Chapter 4: Graphing Features PROCEDURE 1. Press Y to enter the Graph Equation window. Six equation entry areas appear, from “Y1=” to “Y6=”. Since we need only two equations in this exercise, let’s use “Y1=” and “Y2=”. 2. By default, the cursor should be placed on the right side of the “Y1=”...
Page 71 Chapter 4: Graphing Features 7. Let’s take a look at the graph. The vertical axis represents the Y value, while X is represented by the horizontal axis. It appears that the two diagonal lines cross at the point where the X value is somewhere between 2 and 3, indicating that Orange Cab costs less than the other, after 3 miles of traveling.
Page 72: Try It
Chapter 4: Graphing Features 2. Try it! You have just opened your own bank account, with an initial deposit amount of 2000 Euro. Suppose your monthly income is 3000 Euro, and you will spend 60 percent of what you have in the account every month, how much will your balance be after one year? How much will you have in the account, 6 months from now?
Page 73 Chapter 4: Graphing Features PROCEDURE 1. First, let us set the calculator to the appropriate graphing coordinate mode. Press @ ; to enter the SETUP menu, press E to select E COORD, then press 4 to select 4 Seq, and press C. 2.
Page 74 Chapter 4: Graphing Features 9. Press W. Find nMax= and change the value to 15 (default: 10). Next, find Xmax= and change the value to 15 too (default: 10). 10.Press the G key again. 11. Use the graph trace function by pressing U.
Page 75: Explanations Of Various Graphing Keys
Chapter 4: Graphing Features 3. Explanations of Various Graphing Keys The explanations in this section are based on the rectangular coordinates (COORD RECT). Displays the Graph Equation window. Up to 10 different equations can be entered. After the graph expression is entered, press E to store the equation. The expression can be represented as a graph.
Page 76 Chapter 4: Graphing Features Note: The “Xmax=” value cannot be set equal to or smaller than the value of “Xmin”. If so done, the calculator will display an error message upon attempting to redraw the graph, and the graph will not be displayed.
Page 77 Chapter 4: Graphing Features 3. Once the initial anchor is set, move the cursor to a diagonal corner to define the box area. When the required area is squared off, press E. If a mistake is made, the anchor can be removed by pressing the C key.
Page 78 Chapter 4: Graphing Features B FACTOR Use this menu to set the vertical and horizontal zooming factor. The factor set under this menu directly affects the zoom rate of the 3 In and 4 Out sub-menu tools under the ZOOM menu, as described above. To set the zooming factor, do the following: 1.
Page 79 Chapter 4: Graphing Features 2 cos X Use this when the equation contains a cosine function. 3 tan X Use this when the equation contains a tangent function. –1 4 sin Use this when the equation contains an arc sine function. –1 5 cos Use this when the equation contains an arc cosine function.
Page 80: Graph Modes
Chapter 4: Graphing Features 2 PreWin On selecting this sub-menu item, the window setup prior to the current zoom setup will be recalled, and the graph will be redrawn accordingly. Press this button to trace the graph drawn on the screen, to obtain the X-Y coordinates: 1.
Page 81: Graphing Parametric Equations
Chapter 4: Graphing Features 5. Graphing Parametric Equations A two-dimensional parametric equation assumes that both X and Y are represented by functions in a third variable T. When set in parametric graphing mode, the calculator automatically sets up the Graph Equation Entry screen to take one set of X and Y per each graph, with the equation’s right side variable to be set as “T”.
Page 82: Polar Graphing
Chapter 4: Graphing Features 6. Polar Graphing Polar coordinates are a different method of specifying a point in two dimensions; the location of the point is described by the distance from the X-Y intersect “r”, and its elevation angle “θ”. θ...
Page 83: Graphing Sequences
Chapter 4: Graphing Features 7. Graphing Sequences The Setup setting COORD Seq enables you to input and draw up to three explicit or recursive sequence equations u(n), v(n), w(n) . Variables u, v and w are entered as @ 7 , @ 8 , and @ 9 respectively.
Page 84 Chapter 4: Graphing Features Example 1: Sequence representation when using the Time default setting Draw the sequence u(n) = 2 First, ensure that the graphic coordinates are set to sequential (See page 72). 1. Use @ f to navigate to the Format menu. 2.
Page 85 Chapter 4: Graphing Features Example 2: Representation using the uv setting ( n - 1 ) Compare 2 × with the sequence previously input. Sequence 2 is still stored in u(n) from the previous example. Now, sequence v(n) is to be defined and the representation type to be changed.
Page 86 Chapter 4: Graphing Features Example 3: A representation using the Web TYPE setting View the sequence u(n) = u(n-1) + 100 by comparing the sequence elements u(n) with the predecessor elements u(n-1) . 1. Press @ f G 1 to select Web. 2.
Page 87: The Calc Function
Chapter 4: Graphing Features 8. The CALC Function The CALC function utilizes the entered graph equation to calculate values. In conjunction with the 4 graph coordinates, it can be called up anywhere. Note however that the CALC function will not do anything if no graph equation has been entered or specified.
Page 88 Chapter 4: Graphing Features Specific sub- menus Note: When coordinate system is Polar, Param or Seq, only 1 Value is selectable in the CALC menu. 1 Value With this sub-menu tool, the Y value can be obtained by entering an X value. The flashing graph cursor will then be placed in that position on the graph.
Page 89 Chapter 4: Graphing Features 4 Maximum Finds the maximum of the given graph, and places the flashing cursor at that position. Note: If the given graph has no maximum value, an error message will be displayed. If there are several maximum values, please use this function again.
Page 90 Chapter 4: Graphing Features 8 ∫ dx Calculates the numerical integral of equation and display it on a graph. Example 1. Enter the graph equation. – Y1 = 2. Press @ k 8. 3. Move the cursor to the point of lower and press E.
Page 91: Format Setting
Chapter 4: Graphing Features 9. Format Setting You can set up the Graph screen format from the FORMAT menu. Press @ f to display the Graph format menu. Specific sub-menus Note: G TYPE appears only when the sequence coordinate graph mode is selected.
Page 92 Chapter 4: Graphing Features G TYPE This menu is only active when the sequence coordinate graph mode is selected in the SETUP menu. The G TYPE menu will not appear in the other modes. 1 Web A web graph plot mode where x = u(n 1) and y = u(n).
Page 93: Setting A Window
Chapter 4: Graphing Features 10. Setting a Window The W key displays the graph window setup. The display will differ according to the selected coordinate system. Rectangular coordinate system Xmin/Xmax Minimum and maximum values of x-axis, respectively Xscale Scale of x-axis Ymin/Ymax Minimum and maximum values of y-axis, respectively...
Page 94: Tables
Chapter 4: Graphing Features 11. Tables The calculator enables you to illustrate the changes using the equation and graph you have input. It also has tables for showing a list of X and Y values. Each column item can display up to 7 digits, including a sign and/or a decimal point. There are four kinds of tables available corresponding to the coordinate system.
Page 95 Chapter 4: Graphing Features Polar coordinate system • The variable θ is displayed in the left end column. • The columns θ, R1 to R3 are displayed on the first screen. • Press ; ' to horizontally scroll the table. •...
Page 96 Chapter 4: Graphing Features • Press ; or ' to switch between Auto and User. • TableStart is a start value of the variable in the table, and TableStep is a step value of the variable. Both are numeric values. Example Automatically create a table starting from 5 with a step of 1 in the...
Page 97: The Draw Function
Chapter 4: Graphing Features 12. The DRAW Function With the DRAW function, lines, circles, graphs, and pixel points can be added to the graph window. The DRAW menu also contains configuration tools for the ordinary graphs entered in the Graph Equation Entry window: line types, shading, and visibility status of each graph.
Page 98 Chapter 4: Graphing Features 02 Line( Draws a line according to the given X-Y coordinates of a start/end point. Note: This tool can be used with any type of graph. From the Calculation Line(x-coordinate of start point, y-coordinate of start screen point, x-coordinate of end point, y-coordinate of end point [,0])
Page 99 Chapter 4: Graphing Features 2. Press A to select A DRAW, then press 0 2 to select 02 Line(. The GRAPH window reappears, with the coordinate of the cursor showing at the bottom of the screen. Note: To change the cursor coordinate system, use the FORMAT menu.
Page 100 Chapter 4: Graphing Features 03 H_line Draws a horizontal line on the graph window. H_Line y-value From the Calculation screen Draws a horizontal line (y = value) on the graph window. Example • Draw a horizontal line of y = 5 . 1.
Page 101 Chapter 4: Graphing Features 04 V_line Draws a vertical line on the graph window V_Line x-value From the Calculation screen Draws a vertical line (x = value) on the graph window. Example • Draw a horizontal line of x = 3 . 1.
Page 102 Chapter 4: Graphing Features From the GRAPH T_line( window Example • Draw a tangential line by manually specifying the point. 1. Select T_Line(. 2. Use ; ' to move the flashing cursor on the targeted graph line. Use { } to select a graph to draw the tangential line.
Page 103 Chapter 4: Graphing Features From the GRAPH N_line( window Example • Draw a normal line by manually specifying the point. 1. Select N_Line(. 2. Use ; ' to move the flashing cursor on the targeted graph line. Use { } to select a graph to draw the orthogonal line.
Page 104 Chapter 4: Graphing Features Example • Shade the area enclosed by y = – 8 and y = x within the range of –2 ≤ x ≤ 3. Before starting operation, Select ClrDraw to clear the graphs previously drawn. 1. Select Shade(. –...
Page 105 Chapter 4: Graphing Features From the GRAPH Circle( window Example • Draw a circle manually. 1. Select Circle(. 2. Move the cursor to set the center point of the circle. Press E to set the anchor. 3. Move the cursor to determine the radius length of the circle.
Page 106 Chapter 4: Graphing Features Note: Lines, points, and curves drawn by the Draw menu are handled as pictures. Therefore, they cannot be traced. Graphs drawn by the Draw menu are automatically cleared if any screen settings are changed. To save the graph, use the StoPict menu.
Page 107 Chapter 4: Graphing Features 4 PxlON( PxlON(column, row) Draws a pixel point at a given screen location indicated by column and row. The column and row definitions are as follows: Column: 0 to 132, Row: 0 to 64. column (0, 0) (126, 0) (0, 62) (126, 62)
Page 108 Chapter 4: Graphing Features C ON/OFF Sets the visibility status of a given graph number (0-9). 1 DrawON DrawON [equation number 1, ..] or DrawON Sets the specified graphs visible. If no argument is given, then all graphs will be set visible. 2 DrawOFF DrawOFF [equation number 1, ..] or DrawOFF Sets the specified graphs invisible.
Page 109 Chapter 4: Graphing Features E G_DATA All graph data, including the graph equations and window settings, can be stored in 10 graph storage areas (1-9, and 0), which can be called up later. 1 StoGD StoGD number (0-9) Saves the graph data. Example •...
Page 110 Chapter 4: Graphing Features F PICT Stores and recalls the displayed pixel data for the graph window. The graph equations will not be saved or recalled with these tools. 1 StoPict StoPict number (0-9) Saves the pixel data. Example • Store the current graph, including the drawings, in location #1.
Page 111 Chapter 4: Graphing Features G SHADE With these sub-menu tools, inequalities, intersections and compliments of multiple graphs can be visualized. 1 SET Sets up the shading area for each graph. Example 1. Set up a simple graph within the Graph Equation window. Enter “X ”...
Page 112: Other Useful Graphing Features
Chapter 4: Graphing Features 13. Other Useful Graphing Features Split screen It splits the display vertically, to show the graph on the left side of the screen while showing the X-Y values in a table on the right. The cursor is positioned on the table, and can be scrolled up/down using the { or } keys.
Page 113 Chapter 4: Graphing Features The following illustration shows these relationships. @ " @ " @ " • The split screen is always in the trace mode. Therefore, the cursor pointer appears on the graph. Accordingly, the coordinate values are displayed reverse in the table and in the equation at which the cursor pointer is located is also displayed reversely.
Page 114: Substitution Feature
Chapter 4: Graphing Features Substitution feature • The substitution feature allows you to input an equation using characters and variables, and then substitute numeric values for the characters to draw the graph. • The substitution feature is valid only in the rectangular coordinate system. Using this feature, any number of numeric value sets can be substituted while referring to the graph drawing screen.
Page 115 Chapter 4: Graphing Features If independent memories A to C contain any numeric values, the graph is drawn based on these values. * If the equation (in this example, Y1) on which the cursor is located contains no variables, the substitution feature screen will not appear.
Page 116 (The cursor is moved from C to A and 5 is input.) The slope of the graph becomes sharp. * Move the cursor accordingly and substitute other numeric values for variables to view how the graph changes. * The trace function cannot be used in the substitution feature.
Page 117: Chapter 5 Slide Show Feature
Chapter 5 SLIDE SHOW Feature The SLIDE SHOW feature is especially incorporated to help students understand math concepts utilizing the calculator’s graphing capabilities. With this feature, the calculator’s screen images can be captured, organized, and stored. To enter the SLIDE SHOW, press ]. To exit the SLIDE SHOW feature, press #. 1.
Page 118 Chapter 5: SLIDE SHOW Feature 4. Press Y to enter the graph equation mode. Capture images – – 5. Enter (x 3)(x 1)(x 2) at the first equation. 6. Press @ n . The message “STORE SCREEN: 01” will appear. The image will be stored on page 1 of the SLIDE SHOW “CUBIC,”...
Page 119 Chapter 5: SLIDE SHOW Feature Playing back the newly created SLIDE SHOW 1. Press ] to go to the SLIDE SHOW menu. Press B to select B PLAY. A list of saved SLIDE SHOW projects will be shown. 2. Select the one you want to play back, either by using the shortcut key strokes, or by moving the cursor.
Page 120: The Slide Show Menu
Chapter 5: SLIDE SHOW Feature 6. Go down to the last captured image using the } key. 7. Press E to mark the image. Specify the 8. Go up to the page 3 using the { key. insertion point 9. Press E. The marked image will be inserted at page 3.
Page 121 Chapter 5: SLIDE SHOW Feature 1. While in the SLIDE SHOW menu, press E to select E EDIT, then press 1 to select the 1 MOVE sub-menu item. 2. With the { and } cursor keys, select the captured image you wish to move, then press E. 3.
Page 122: Chapter 6 Matrix Features
Chapter 6 Matrix Features Within the Matrix features, up to ten different matrices can be entered. To get to the Matrix features, press @ m . Define and edit the matrices within this mode too. 1. Try it! Three sheaves of the first class crop, two of the second, and one of the third are sold for 39 dollars.
Page 123 Chapter 6: Matrix Features PROCEDURE 1. Press @ m to enter Select a matrix to edit the MATRIX menu. 2. Press B to select B EDIT and then 1 to select 1 mat A. 3. Press 3 E 4 E to Define dimensions define the dimensions of the...
Page 124: Entering And Viewing A Matrix
Chapter 6: Matrix Features 10. Press E. The reduced row echelon form of the matrix is displayed. Display Solution 0z = x = 9.25 0z = y = 4.25 1z = z = 2.75 2. Entering and Viewing a Matrix 1.
Page 125: Editing Keys And Functions
Chapter 6: Matrix Features Enter elements 1. Press appropriate number keys to enter numbers at the 1st row and 1st column. in the matrix The number is displayed at the bottom of the screen. 2. Press E. The cursor moves to the 1st row, 2nd column. 3.
Page 126: Normal Matrix Operations
Chapter 6: Matrix Features 3. Normal Matrix Operations Many functions can be used for calculations of matrices and scalars. Examples of each calculation are as follows: To add or subtract matrices, the dimensions must be the same. Matrix Matrix – Matrix Matrix Example...
Page 127: Special Matrix Operations
Chapter 6: Matrix Features Inverse of Matrix For the calculation of the inverse of a matrix, please proceed as for the reciprocal of a real number. Example 1. Press # C. 2. Press @ m A 1 @ x E. 4.
Page 128 Chapter 6: Matrix Features 03 cumul cumul matrix name Returns the cumulative matrix. Example • Obtain the cumulative sum of mat A. cumulative sum of a ..04 augment( augment(matrix name, matrix name) Appends the second matrix to the first matrix as new columns. The first and second matrices must have the same number of rows.
Page 129 Chapter 6: Matrix Features 07 row_swap( row_swap(matrix name, row number, row number) Returns the matrix with specified rows swapped. Example • Swap the 2nd and 3rd rows in the matrix E. ’ = e ’ = e 08 row_plus( row_plus(matrix name, row number, row number) Adds the first specified row data to the second specified row data.
Page 130 Chapter 6: Matrix Features 11 mat→list( Creates lists with elements from each column in the matrix. If dimensions of columns is greater than the number of lists specified, extra columns are ignored. Also, if it is less than the number of lists specified, extra lists are ignored. mat→list(matrix name, list name 1, ..., list name n) Example •...
Page 131: Calculations Using Math Menus
Chapter 6: Matrix Features Calculations using MATH menus 1 det det matrix name Returns the determinant of a square matrix. The determinant can only be applied to a matrix which has the same row and column dimensions. Example • Give the determinant of matrix 2 trans trans matrix name Returns the matrix with the columns transposed to rows and the...
Page 132: Use Of [ ] Menus
Chapter 6: Matrix Features Use of [ ] menus Using [ ] menus, you can manually enter a matrix on the calculation screen. 1. Press @ m E 1 ( [ ) at the beginning of the matrix. 2. Press @ m 1 ( [ ) to indicate the beginning of the first row.
Page 133: Chapter 7 List Features
Chapter 7 List Features 1. Try it! By analyzing years of data, we found that it takes the driver of a car approximately 0.75 seconds to react to a situation before actually applying the brakes. Once the brake pedal is depressed, it takes additional time for the car to come to a complete stop.
Page 134 Chapter 7: List Features 4. Press R @ 1 . Store the list in 5. Press E to store the list in L1. 6. Press 1.1 | @ Enter the 1 + 0.06 | equation using L1 @ 1 y 7.
Page 135: Creating A List
Chapter 7: List Features 2. Creating a list A list is a series of values enclosed by braces, and is treated as a single value in calculations or an equations. The calculator has 6 storage areas for lists from L1 to L6. You can edit or access lists by pressing @ 1 to 6 (numeric keys from 1 to 6).
Page 136 Chapter 7: List Features 1. Press 10 | @ 1 × Calculate 10 R @ 3 E. L1 and store the results in L3 2. Press s @ 3 Calculate the E. “...” shows that results sine of L3 extend beyond the display to the right.
Page 137: Special List Operations
Chapter 7: List Features 4. Special List Operations This calculator has four list calculation menus: OPE, MATH, L_DATA and VECTOR. Calculations using the OPE menu functions 1 sortA( sortA(list name) Sorts lists in ascending order. Example • Store list {2, 7, 4} in L1, and sort L1 in ascending order.
Page 138 Chapter 7: List Features 3 dim( dim(list) Returns the number of items (dimension) in the list. Example • Display the dimension of list natural number ⇒ dim(list name) Set the number of items (dimension) of specified list to the specified number. Example •...
Page 139 Chapter 7: List Features 5 seq( seq(equation, start value, end value[, increments]) target list name Makes a list using the specified equation, range (start value and end value) and increments. Example • Fill the list using the equation – y = x 8, where x increases from 4 to 4 by increments of 2.
Page 140 Chapter 7: List Features 8 augment( augment(list 1, list 2) Returns a list appending the specified lists. Example • Obtain the list appending L1 ({4, 2, 7}) and L2 ({ 4}). • Press b R 1 to store the list. 9 list→mat( list→mat(list 1, ..., list n, matrix name) Makes a matrix using the specified list as column data, stored...
Page 141: Calculations Using Math Menus
Chapter 7: List Features Calculations using MATH Menus During the following explanations, the values of lists, L1 and L2 will be assumed to be: L1 = {2, 8, L2 = { 1 min( min(list) Returns the minimum value in the list. Example •...
Page 142 Chapter 7: List Features 4 median( median(list [, frequency list]) Returns the median value of items in the specified list. Example • Calculate the median value of the list L2. 5 sum( sum(list [, start number, end number]) Returns the sum of items in the specified list. Example •...
Page 143 Chapter 7: List Features 7 stdDv( stdDv(list [, frequency list]) Returns the standard deviation of the specified list items. Example • Calculate the standard deviation using the list items of list L2. Note: If relative frequencies or probabilities are stored in the frequency list, please use P_stdDv.
Page 144: Calculations Using Vector Menus
Chapter 7: List Features Calculations using VECTOR Menus During the following explanations, the values of lists, L1 and L2 will be assumed to be: L1 = {2, 8, L2 = { These functions use lists as vectors. 1 CrossPro( CrossPro(list name1, list name2) Calculate the cross product (vector product) of two lists.
Page 145: Drawing Multiple Graphs Using The List Function
Chapter 7: List Features 5. Drawing families of curves using the list function Using list items as coordinates, you can simultaneously draw families of curves. 1. Press Y. 2. Enter the equation; Y1 = {3, {5, 3}x {2, 4} 3. Press G. Two graphs are drawn as shown on the right.
Page 146: Using List Table To Enter Or Edit Lists
Chapter 7: List Features 2 RclLD RclLD natural number (0-9) Recall the stored group of lists for use. Any current list data (not stored in L_DATA) is overwritten. Example 1. Press @ l and select C 2. 2. Enter the number to recall and press E.
Page 147: How To Edit The List
Chapter 7: List Features How to edit the list 1. Press S and select A EDIT, then press E. 2. Use the cursor keys to move the cursor to the target cell. 3. Enter the new value and press E. The new value will be stored in the target cell.
Page 148: Statistics & Regression Calculations
Chapter 8: Statistics & Regression Calculations Chapter 8 Statistics & Regression Calculations The following statistical and regression features are available: • Statistical calculations such as means and standard deviations • Graphing statistical data • Plotting regression curves • Statistical tests •...
Page 149 Chapter 8: Statistics & Regression Calculations 2. Select A EDIT and press E. The List table will appear. Initially, all elements are blank and the cursor pointer is located at L1-1 (top left). Entering hours 3. Input 1 for hour. (index value) 4.
Page 150 Chapter 8: Statistics & Regression Calculations Setting the 3. The first line shows if the graph drawing graph drawing is on or off. “on” Initially, the graph drawing is off. With the cursor pointer at the “on” position, press E to set the graph drawing on.
Page 151 Chapter 8: Statistics & Regression Calculations 15. Select 9 Stat and press E. You can directly press 9 at step 13 to select 9 Stat. The histogram will appear on the display. When you draw the graph using the automatic statistics zoom function (9 Stat), the division number is automatically set to –...
Page 152: Statistics Features
Chapter 8: Statistics & Regression Calculations 8. Move the cursor to GRAPH and press [. 9. Press B 2 (broken line with cross points). 10. Press G. Now you can compare the difference in web site access counts between Sunday and Monday. Press @ q .
Page 153: Statistical Evaluations Available Under The C Calc Menu
Chapter 8: Statistics & Regression Calculations 2. Statistical evaluations available under the C CALC menu 1_Stats 1-variable (x) statistical a calculations Mean of sample (x) Standard deviation of sample (x) Σx − nx sx = n − 1 σx Population standard deviation of sample (x) Σx −...
Page 154 Chapter 8: Statistics & Regression Calculations The web site access counts example on page 147 will be used again to demonstrate the calculation of statistical values. Hours 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Sunday 98 72 55 3 6 24 15 30 59 72 55 43 21 10 150 151 135 108 204 253 232 251 75 30 Monday 32 8 12 2 4 19 32 72 95 91 123 201 184 108 95 72 45 38 75 111 153 90 84 35 * If you did not previously enter the above values in the list table, press S and...
Page 155 Chapter 8: Statistics & Regression Calculations Calculating the previous two-variable statistical values can be performed in a single operation. Use a “ , ” (comma) to separate the two variables. 1. Press # C and S to display the statistics menu.
Page 156: Graphing The Statistical Data
Chapter 8: Statistics & Regression Calculations 3. Graphing the statistical data Press [ to access the statistical graphing mode. The calculator can plot statistical data on up to 3 types of graph (PLOT1 to PLOT3) to check the state of distribution. The graph types can be selected from histogram, broken line plot, normal probability plot, normal distribution plot, box plot, modified box plot, pie chart, scatter diagram and XY line.
Page 157 Chapter 8: Statistics & Regression Calculations Broken line plot A broken line graph for the frequency distribution of sample (x) (B.L.) Three types of points can be selected from circle, cross and square. The broken line is displayed by connecting the upper left points of the bars of the histogram, as the upper left point of each bar represents each class value in the histogram.
Page 158 Chapter 8: Statistics & Regression Calculations Box plot A box plot graph of sample (x) (Box) A. The minimum value (xmin) of the sample (x) B. The first quartile (Q1) C. Median (Med) of the sample D. The third quartile (Q3) E.
Page 159 Chapter 8: Statistics & Regression Calculations Pie chart Pie graph of sample (x) (PIE) • Maximum number of division is • Calculation range: 0 ≤ x < 10 • Data can be displayed in two modes: • Value display: 8 digits •...
Page 160: Specifying Statistical Graph And Graph Functions
Chapter 8: Statistics & Regression Calculations 2. Specifying statistical graph and graph functions • Up to three graphs can be plotted per sample data. 1. Press [. Specifying type of statistics 2. Select from A PLOT1, B PLOT2 or C PLOT3 and press E graphing to set the statistical graphing specifications.
Page 161: Trace Function Of Statistical Graphs
Chapter 8: Statistics & Regression Calculations 3. • To set the all plotting ON: Press 1 (1 PlotON). • To set the all plotting OFF: Press 2 (2 PlotOFF). * You can control the plotting of PLOT1 to PLOT3 separately by pressing 1 ~ 3 after PlotON (or PlotOFF).
Page 162: Data List Operations
Chapter 8: Statistics & Regression Calculations 4. Data list operations Descending sort, ascending sort, changing the list order and deleting the lists can be done in the Operation menu. Press S B OPE to access the data list operations. 1 sortA( sortA(list) Sorts the list in ascending order.
Page 163: Regression Calculations
Chapter 8: Statistics & Regression Calculations 5. Regression Calculations Accessing the 1. Press S D REG. regression menu The Regression menu is displayed. 01 Med_Med Med_Med (list name for x, list name for y [, frequency list] [, equation name to store]) Finds the regression line using the median-median method.
Page 164 Chapter 8: Statistics & Regression Calculations 06 Rg_x Rg_x (list name for x, list name for y [, frequency list] [, equation name to store]) Finds the regression line using the third degree polynomial. (cubic regression) Formula: y = ax Parameters: a, b, c, d, R 07 Rg_x Rg_x...
Page 165 Chapter 8: Statistics & Regression Calculations –1 –1 12 Rg_x Rg_x (list name for x, list name for y [, frequency list] [, equation name to store]) Finds the regression curve using the reciprocal function. (reciprocal regression) Formula: y = a Parameters: a, b, r, r 13 Rg_ax Rg_ax...
Page 166 Chapter 8: Statistics & Regression Calculations 16 x’ value or list x’ Finds the estimated value of x for a given value of y by applying the function determined by the regression. Example When the following is entered as statistical data: Find estimated value of x given y = 140.
Page 167 Chapter 8: Statistics & Regression Calculations 1. Press S A E. Enter a data in a list table 2. Enter the time into list 1 (L1). 3. Enter the temperature into list 2 (L2). 1. Press [ A E. Plotting the data 2.
Page 168: Statistical Hypothesis Testing
Chapter 8: Statistics & Regression Calculations About the • There are residuals between regression curves and actual residual list values. • The residual list stores these residuals automatically. • The resid list can be found in B REGEQN of the STAT VARS menu (@ z H E B 0).
Page 169 Chapter 8: Statistics & Regression Calculations • 16 InputList and 17 InputStats specify the above input methods. 16 InputList: Sets the input mode to the statistic data list method 17 InputStats: Sets the input mode to the value input mode For example, press S E 1 6 E to set to the list input mode.
Page 170 Chapter 8: Statistics & Regression Calculations Two samples data are tested for equality of standard deviation s 02 Ftest2samp and s Example Test when population standard deviation s < s = 20, standard deviation sx = 5.6, = 50, and standard deviation sx = 6.2 1.
Page 171 Chapter 8: Statistics & Regression Calculations 3. Press ' E } to and press E. select µ < µ 4. Move the cursor pointer to µ and input 65 and press 5. Set the List to L1 and press E. 6.
Page 172 Chapter 8: Statistics & Regression Calculations 4. Press @ h . 05 TtestLinreg Tests the significance of the slope for the linear regression and its correlation coefficient ρ. Example The test is for the slope β, and correlation coefficient ρ obtained from statistical data X {65, 56, 78, 86, 92, 71, 68} and Y {95, 59, 88, 78, 75, 68, 80} are not equal to zero (β...
Page 173 Chapter 8: Statistics & Regression Calculations Finds the confidence interval for the population mean µ. 06 Tint1samp Example Find the confidence interval for the statistical data of {65.6, 62.8, 66.0, 64.5, 65.1, 65.3, 63.8, 64.2, 63.5, 64.4}, from a given population and the level of confidence is 0.99. 1.
Page 174 Chapter 8: Statistics & Regression Calculations 1. Enter the above data in to lists L1 and L2. 2. Press S E 0 The parameter input screen will appear. 3. Enter the appropriate value in each field. 4. Press @ h . Answers are displayed on the screen, where the numerical value within () indicates the...
Page 175 Chapter 8: Statistics & Regression Calculations • µ indicates the hypothesis mean, s indicates the population standard deviation, x indicates the sample mean and n indicates the sample size. (“n” is a positive integer.) 4. Enter the appropriate value in each field. 5.
Page 176 Chapter 8: Statistics & Regression Calculations 10 Ztest1prop Tests the success probability P of a population. Example A coin was tossed 100 times and landed head side up 42 times. Normally, the probability of head facing up is 0.5. Test to see if the coin is fair.
Page 177 Chapter 8: Statistics & Regression Calculations 3. Press @ h . Answers will be displayed on the screen, where P indicates the calculated success rate of the data combined with sample data 1 and 2, and and P show the success rates of sample data 1 and 2, respectively.
Page 178 Chapter 8: Statistics & Regression Calculations Finds the confidence bound of two sample means µ and µ 13 Zint2samp Example Find the confidence interval of µ and µ of sample data with the = 77.3, s confidence level of 0.9, where x = 3.4, n = 30 and x = 75.2, s...
Page 179 Chapter 8: Statistics & Regression Calculations 2. Enter the appropriate value into each field. 3. Press @ h . Answers will be displayed on the screen, where the numerical value within () indicates the confidence interval of the success probability at a confidence level of 95%. * n is a positive integer.
Page 180: Distribution Functions
Chapter 8: Statistics & Regression Calculations 7. Distribution functions The calculator has distribution features to find statistical calculations. To enter the distribution menu, 1. Press S F (F DISTRI). The distribution menu will appear. 2. There are 15 options in the distribution menu.
Page 181 Chapter 8: Statistics & Regression Calculations 03 InvNorm( InvNorm(probability [, mean, standard deviation]) Finds the value of x of a given normal distribution probability. A list cannot be used. * When mean (µ) and standard deviation (s) are omitted, µ = 0 and s = 1 are applied.
Page 182 Chapter 8: Statistics & Regression Calculations 05 cdfT( cdfT(lower limit, upper limit, degree of freedom) Finds the T distribution probability within the specified range of x for the T distribution with n degrees of freedom. A list cannot be used. Limitations: Degree of freedom ≤...
Page 183 Chapter 8: Statistics & Regression Calculations 08 pdfF( pdfF(value, degree of freedom of numerator, degree of free- dom of denominator) Finds the probability density of a specified value x for the F distribution that possesses two independent degrees of freedom, m and n.
Page 184 Chapter 8: Statistics & Regression Calculations 10 pdfbin( pdfbin(trial number, success probability [, success number])) Finds the probability density of a specified value x for the binomial distribution. A list cannot be used except for success numbers. When the success number is not specified, the calculation is executed by entering values from 0 to the trial number and displays the list.
Page 185 Chapter 8: Statistics & Regression Calculations 13 cdfpoi( cdfpoi(mean, value) Finds the probability of a specified range x for a Poisson distribution of mean mu. Example Find the probability within the range up to x = 4. 14 pdfgeo( pdfgeo(success probability, value) Finds the probability density of a specified value x for the geometric distribution.
Page 186: Financial Features
Chapter 9 Financial Features The financial calculation features include capabilities for compound interest calculations. Press @ g . The financial menu screen will appear. • Specifies the TVM-SOLVER mode. • Selects a financial calculation function • Specifies payment due (to pay at the beginning or end of period) •...
Page 187 Chapter 9: Financial Features • Vertical arrows along the horizontal line indicate the cash flow. An UP arrow indicates inflow ( ) and a DOWN arrow indicates – outflow ( • The calculator considers the cash inflow for each period is constant.
Page 188 Chapter 9: Financial Features Starting the Setting the payment due time calculation 5. Press @ g . 6. Press C (C PERIOD). 7. Press 1 (1 PmtEnd) and press E. Payment due time is now set to the end of the period. 8.
Page 189 Chapter 9: Financial Features 17. Press E. Usually C/Y (cumulative interest per year) is the same value as P/Y. If not, enter the value instead. 18. Press { 3 times to move the cursor to PMT (payment amount). 19. Press @ h . The result will appear as follows.
Page 190: Try It! 2
Chapter 9: Financial Features 2. Try it! 2 If the monthly payments in the first example is limit to a fixed $800, how much must be the present value (PV) and the required amount of down payment. PV = 300,000 – down payment I = 5% FV = 0 Cash flow...
Page 191 Chapter 9: 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 obtain various results by inputting the known variables and then moving the cursor to the unknown variable and pressing @ h . The value where the cursor pointer is placed will be calculated from the known variables.
Page 192: Calc Functions
Chapter 9: Financial Features 3. CALC functions Press @ g B to access the CALC functions. The CALC functions 01 to 05 calculate any of the following variables from the other variables. (The same calculations are possible as the SOLVER functions.) Number of payment periods Interest Present value (principal sum)
Page 193 Chapter 9: Financial Features 06 Npv ( Npv (Interest rate, initial investment, list of following collected investment [, frequency list]) Calculates the net present value and evaluates the validity of the investment. You can enter unequal cash flows in the list of following collected investment.
Page 194 Chapter 9: Financial Features The following CALC functions, 08 Bal, 09 ΣPrn and 10 ΣInt require the values of I%, PV and PMT variables. Enter the values beforehand in the TVM- SOLVER function. Example using the 08 and 10 calculations You plan to purchase a house for the price of $300,000.
Page 195 Chapter 9: Financial Features Conversion functions 11 →Apr ( →Apr (effective interest rate, number of settlements) Converts effective interest rate to nominal interest rate Example If the effective interest rate is 12.55%, how much is the nominal interest rate for the quarterly compound interest? If the monthly compound interest rate is 10.5%, how much is the...
Page 196: Vars Menu
Chapter 9: Financial Features 4. VARS Menu The VARS menu consist of a list of the variables used for the TVM-SOLVER functions. • The VARS menu can be used to enter values in the sub-menu within the Finance menu. 1. Press @ g D . 2.
Page 197: Chapter 10 The Solver Feature
Chapter 10 The SOLVER Feature The SOLVER feature is one of the calculator’s most powerful and distinctive features, and helps you solve math problems with various analysis methods. Using this feature, problems from linear equations to complex formulas can be solved with ease.
Page 198 Chapter 10: The SOLVER Feature 1. Enter SOLVER by pressing @ ' . The word SOLVER will flash on the screen, indicating that you are now in the SOLVER feature mode. 2. Enter the equation “A = 2B 4C”. Press A A A = 2 A B y + 4 A C.
Page 199 Chapter 10: The SOLVER Feature Newton& Newton&bisection method is a technique of finding approximate bisection solutions to a math problem via calculus, when conventional method algebraic techniques just cannot work. If the Equation method fails, the calculator will automatically switch to Newton&bisection method.
Page 200 Chapter 10: The SOLVER Feature 6. The following window shows the approximate value of X (0.449489742), the right side value of the equation (assumed as “0”, at step #2), the left side value (which the entered expression results to this value when the value X is entered), and the difference between the left and the right side.
Page 201 Chapter 10: The SOLVER Feature Graphic method The Graphic method is another way of approximating solutions, using graphical representations. This method is particularly useful when finding more than one solution on a graph axis. Example – Obtain values for “Y = X 1”, when Y = 0.
Page 202 Chapter 10: The SOLVER Feature Note: The analysis will be limited to the range specified; a solution outside of the analysis range will not be detected. If no crossing point is found in the range, then a message “No solution found” will show at the bottom of the screen.
Page 203: Saving/Renaming Equations For Later Use
Chapter 10: The SOLVER Feature 2. Saving/Renaming Equations for Later Use The expressions you have entered in the SOLVER can be named and stored: 1. Go to the SOLVER menu by pressing @ ' . 2. Press C to select the C SAVE menu, and press 3.
Page 204: Recalling A Previously Saved Equation
Chapter 10: The SOLVER Feature 3. Recalling a Previously Saved Equation To recall a stored SOLVER equation: 1. Go to the SOLVER menu, and press B to select the B EQTN sub-menu. 2. A list of saved equation names appears in the sub- menu.
Page 205: Chapter 11 Programming Features
Chapter 11 Programming Features The calculator has programming features that enable automatic processing of a series of calculations any number of times. Almost all the calculation and graphing language can be used in programs as well as the usual control flow statements such as If, For, While and Goto (with Label). Please note that complex numbers cannot be used in programming.
Page 206 Chapter 11: Programming Features 6. Press P. Starting programming The program menu will open. The commands and other statements are preinstalled in the calculator. Do not directly type in commands using the Alphabetical mode, select each command from the program menu. Press @ j , and you can access all the available Note: commands at once.
Page 207: Programming Hints
Chapter 11: Programming Features 2. Programming Hints Press P B and then the appropriate numbers to open the Editing the program stored program. Press @ i to enter the insert type mode. Adding com- mands, strings or Press E to go to the next line. Be sure to press @ i command lines again to turn off the insert type mode and return to type over mode.
Page 208: Variables
Chapter 11: Programming Features 3. Variables • Single letters (uppercase letter from A to Z and θ) can be used as variables. • Defined once in one program, a variable is set as a global variable across all other stored programs unless redefined. Hence results calculated in one program can be used by another.
Page 209: Programming Commands
Chapter 11: Programming Features 5. Programming commands • Print, Input, Wait, Rem, End and other commands can be used in a program. Screen settings, data input/output, graph settings and others can be controlled from a program. • Press P in the program edit mode to input the command. A PRGM menu P A 1 Print Print variable...
Page 210: B Brnch Menu P B
Chapter 11: Programming Features 4 Wait Wait [natural number (1 to 255)] Interrupts execution for the (natural number) of seconds. If no value is specified, interruption continues until any key is pressed. • A symbol will flash at the upper right corner of the screen during the wait.
Page 211: C Scrn Menu P C
Chapter 11: Programming Features C SCRN menu P C C SCRN menu commands are used to display or clear the screen. 1 ClrT ClrT Clears the program text screen without affecting the plotted graph. 2 ClrG ClrG Clears the graph screen without affecting the specified graph. After the graph screen is cleared, the specified graph statement is drawn.
Page 212 Chapter 11: Programming Features 04 Web Sets the graph coordinates as axes in sequence graphs. – 1) is set to the X axis and u(n) is set to the Y axis. 05 Time Time Sets the graph coordinates as axes in sequence graphs. n is set to the X axis and u(n), v(n) and w(n) is set to the Y axis.
Page 213: F Format Menu P F
Chapter 11: Programming Features F FORMAT menu P F F FORMAT menu commands are used to set the graph format. 01 RectCursor RectCursor Sets the graph coordinate display format to X - Y axes. 02 PolarCursor PolarCursor Sets the graph coordinates display format to polar coordinates. 03 ExprON ExprON Sets the graph equation to be displayed on the graph screen.
Page 214: G S_Plot Menu P G
Chapter 11: Programming Features G S_PLOT menu P G S_PLOT menu commands are used for statistics plotting. 1 Plt 1( Sets the statistical graph settings for plot 1. 2 Plt 2( Sets the statistical graph settings for plot 2. 3 Plt 3( Sets the statistical graph settings for plot 3.
Page 215: Flow Control Tools
Chapter 11: Programming Features 6. Flow control tools The calculator has the common flow control tools such as Goto - Label loop structures, and If-, For- and While-statement clauses for enhancing a program’s efficiency. It also has the capability for subroutines. It is recommended to use If, For or While statements rather than Goto-Label loop structures.
Page 216 Chapter 11: Programming Features 07 For For variable, initial value, end value [, increment] 08 Next commands or multiple statements Next • The increment value can be omitted. The default value is 1. • For and Next statements must be placed at the beginning of the line.
Page 217: Other Menus Convenient For Programming
Chapter 11: Programming Features [Rem start of the subroutine (label name)] Label label name Statements Return Subroutine structures can be used for programming. • The Gosub label name must be the same as the Label starting the subroutine. • A Return statement is necessary at the end of the subroutine. When the Return statement is executed, the calculator executes the next line after the Gosub statement.
Page 218: Vars Menu
Chapter 11: Programming Features VARS menu • Functions that control the graph screen can be selected from the VARS menu. • Press @ z to display the VARS menu (shown to the right). A EQVARS Specifies the graph equation (Y1 to Y9, and Y0, X1T•Y1T to X6T•Y6T, R1 to R6).
Page 219 Chapter 11: Programming Features • Always enter the argument for functions requiring an argument at the end of the command, such as the CALC function (@ k ). An error will be returned for commands not accompanied by an argument. Example Value 5 Example...
Page 220: Debugging
Chapter 11: Programming Features • Press @ z H E A 0 2 to display “x ” on the screen. • Press E to obtain the average value of X as determined in the previous calculation. • In this way, the contents of an immediately preceding statistical calculation can be stored as statistical values.
Page 221: Preinstalled Program
Chapter 11: Programming Features Chapter 13: Programming Features 9. Preinstalled program There is one preinstalled program ("integral"). Calculating the area between graphs for a given interval Integral • Enter necessary equations before executing this program. 1. Press P A 0 1. 2.
Page 222 Chapter 11: Programming Features Calculation ranges are illustrated below. Program name Calculation range Note Xmin and Xmax are in the Xmin ≤ LOWER ≤ Xmax integral Xmin ≤ UPPER ≤ Xmax windows settings. Storage locations of the calculation result This program calculate by using the variables below. Therefore, please note that some numbers are stored in these variables if you execute the program.
Page 223: Chapter 12 Option Menu
The user memory is used to store data for graph equations, graph screens, matrices, lists and so on. The memory window shows the software version of the calculator as well. If a new software version will be released, it can be uploaded to EL-9950 by the PC link software.
Page 224 Chapter 12: OPTION Menu 3. If you want check the details, press E. The detailed memory usage window will appear. The total remaining memory will appear on the bottom line of the screen. 4. Press } to scroll the window. List: The amount of memory (bytes) used by lists Matrix:...
Page 225: Deleting Files
The optional products (CE-451L and CE-LK4) are not available in some regions. Using the optional CE-451L or CE-LK4, the EL-9950 can be linked to another EL-9950. To transfer data, press @ p D to open the Link option window. Press 1 to send data and press 2 to receive data.
Page 226 Chapter 12: OPTION Menu 2. Press @ p D on both calculators. 3. Press 2 on the receiving machine. The receive mode screen will appear on the display. 4. Press 1 on the sending machine. 5. The send menu will appear on the display. Specify the data to send from the following categories.
Page 227 Chapter 12: OPTION Menu 6. Select the item to send using { / } and pressing E. A “✱” will be placed by the selected item. 7. Press @ E to send. 8. Transmission begins and a busy message will appear on the displays of the both calculators.
Page 228: Reset Function
EL- required for calculator to data communication with PC. 9950 and PC And “SHARP CE-LK4 for EL-9950” (PC-Link software) must be installed on your Windows PC. • Refer to the CE-LK4 operation manual for details. • During communications between calculator and PC, no operation of the calculator is required.
Page 229: Appendix
Appendix 1. Replacing Batteries The calculator uses two different kinds of batteries: manganese (AAA) for unit operation, and lithium (CR2032) for memory backup. Compatible battery types Type (use) Model Quantity Manganese battery (for unit operation) Lithium battery CR2032 (for memory backup) Note: •...
Page 230 Appendix Procedures When battery power becomes for replacing low, a message will show unit operation indicating that a new set of batteries batteries are needed. 1. Turn off the calculator’s power (@ o ). 2. Turn over the calculator. Locate the battery compartment cover, and open the cover as illustrated.
Page 231 Appendix 1. Perform procedures 1 and 2, as shown above. Do not remove the unit operation batteries. 2. Remove the screw and the lithium battery cover, as shown. 3. Use a pen to lift the lithium battery out of the battery compartment.
Page 232: Troubleshooting Guide
Appendix 2. Troubleshooting Guide Refer to the list of possible symptoms, and solutions may be found here. The calculator’s power won’t turn on! • The operation batteries may not be installed, may be exhausted, or may be inserted incorrectly. Check the operation batteries in the battery compartment.
Page 233 Appendix The screen images cannot be stored (SLIDE SHOW) • The available memory may be too small to store the screen image. Select “B MEMCHK” under @ p menu. Select and delete unnecessary items under “C DEL”. The calculator is not responding; the software appears to have crashed! •...
Page 234: Specifications
Appendix 3. Specifications Model EL-9950 Product name Graphing Calculator Display 132 x 64 dot matrix liquid crystal display Number of digits: mantissa 10 digits, exponents 2 digits (standard screen); 7 digit display (including negatives, decimals) for table screen, split screen, etc.
Page 235 Condition statement command, subroutine, graph, various function commands Option menu Screen contrast adjustment, memory usage check, data delete, data link (between EL-9950 and PC or another EL-9950) Memory size 64 KB (user area: approx. 47.4 KB) Operation: 6 V DC... — AAA manganese battery (R03) ×...
Page 236: Error Codes And Error Messages
Appendix 4. Error Codes and Error Messages Error Error Message Description Code Syntax Syntax error found in equation/program Calculate Calculation-related error found (division by 0, calculation beyond range, etc.) Nesting Cannot nest more than 14 numerical values, or 32 functions during execution. Graph equation variables (Y1, etc.) includes other graph equation variables (Solver features).
Page 237 Appendix Error Error Message Description Code No solution No solution found. No title No title entered. Too many obj More than 30 objects selected. Lbl duplicate Labels with identical name found in program. Lbl undefined Goto/Gosub encountered with no defined label. Lbl over More than 50 labels found in program.
Page 238: Error Conditions Relating To Specific Tasks
Appendix 5. Error Conditions Relating to Specific Tasks 1. Financial * Define constants “r” and “s” as used in the equation below. S = 1 (Pmt_Begin) I (%) – S = 0 (Pmt_End) 1. I% calculation 1 If PMT = 0 –...
Page 239 Appendix 3. FV calculation 1 If r ≠ 0, r > – × × × PMT – FV = 2 If r = 0 × – FV = 3 If r ≤ Error 4. PMT calculation 1 If r ≠ 0, r > ×...
Page 240: Error Conditions During Financial Calculations
Appendix 2. Error conditions during financial calculations • r ≤ • N = 0 in PMT calculations × × • I% = 0 and PMT = 0, or I% ≠ 0 and FV = (1/r) (1 PMT, in N calculations. s = 1 (Pmt_Begin) s = 0 (Pmt_End) In I% calculations...
Page 241 Appendix 3 pdfχ – χ χ f (χ , df) = ∞ 2Γ ( However: Γ(s) = ∫ – df: Degree of freedom 4 pdfF( Γ ( – f (x) = Γ ( Γ ( ∞ However: Γ(s) = ∫ –...
Page 242: Calculation Range
Appendix 6. Calculation Range 1. Arithmetic calculation The results for dividend, multiplicand and operand are: × × × × < x ≤ < x ≤ 1 or x = 0 (valid within the range of display capability) × Note: Calculation results and input values less than 1 considered equal to 0.
Page 243 Appendix Function Calculation range Notes ln x ln x = log × × ≤ x < 1 log x × e . = . 2.71828... < x ≤ 230.2585092 × < x < 100 × |x| < 1 x ≠ 0 ×...
Page 244 Appendix Function Calculation range Notes |x| ≤ 9999999999 Decimal: 1000000000000000 ≤ x Binary: ≤ 1111111111111111 0 ≤ x ≤ 0111111111111111 x is an integer 4000000000 ≤ x ≤ 7777777777 Octal: 0 ≤ x ≤ 3777777777 Hexadecimal: FDABF41C01 ≤ x ≤ FFFFFFFFFF 0 ≤...
Page 245 Appendix Function Calculation range Notes × |x| < 1 × |y| < 1 × |Σx| < 1 × Σx Statistic < 1 × calculations |Σy| < 1 × Σy < 1 × |Σxy| < 1 × |n| < 1 n ≠ 0 n >...
Page 246 Appendix Function Calculation range Notes × | < 1 Same as above. × – | < 1 Same as b for other. × |bx| < 1 y’ × bx| < 1 × – a| < 1 x’ – × | < 1 ÷...
Page 247: Complex Number Calculation
Appendix 3. Complex number calculation In a complex number calculation, a calculation error may occur and increase due to inner continuous calculations. Function Calculation range Notes |x| < 10 yi ≠ 0 |y| < 10 |x| < 10 |y| < 10 ×...
Page 248: List Of Menu/Sub-Menu Items
Appendix 7. List of Menu/Sub-menu Items CATALOG function lets you access almost all the functions and commands. Square brackets indicate that the value or variable is optional. 1. MATH menus Functions Syntax Page Keystrokes Commands M CALC value A 0 1 value A 0 2 fmin(...
Page 249 Appendix Functions Syntax Keystrokes Page Commands M NUM abs( abs(value) round( round(value [, digit number of decimals]) ipart ipart value fpart fpart value int value min( min(value A, value B) or min(list) max( max(value A, value B) or max(list) lcm( lcm(natural number, natural number) gcd( gcd(natural number, natural number)
Page 250 Appendix Functions Syntax Keystrokes Page Commands value g M INEQ value A = value B ≠ value A ≠ value B > value A > value B ≥ value A ≥ value B < value A < value B ≤ value A ≤...
Page 251: List Menus
Appendix 2. LIST menus Functions Syntax Page Keystrokes Commands l OPE sortA(list name [, subordinate list name1, ... , sortA( subordinate list name n]) sortD(list name [, subordinate list name1, ... , sortD(list name [, subordinate list name1, ... , sortD( subordinate list name n]) dim(...
Page 252 Appendix 3. STAT menus Functions Syntax Keystrokes Page Commands S EDIT/OPE EDIT No arguments sortA( sortA(list [, subordinate list 1, ... , subordinate list n]) sortD( sortD(list [, subordinate list 1, ... , subordinate list n]) SetList SetList [list name 1, list name 2, list name 3, ... ] ClrList ClrList list name1 [, list name 2, ...
Page 253 Appendix Functions Syntax Keystrokes Page Commands Rg_ab (list name for x, list name for y Rg_ab D 1 0 [, frequency list] [, equation name to store]) Rg_ae (list name for x, list name for y Rg_ae D 1 1 [, frequency list] [, equation name to store]) Rg_x (list name for x, list name for y...
Page 254: Stat Plot Menus
Appendix Functions Syntax Keystrokes Page Commands cdfnorm(lower limit, upper limit [,mean, standard cdfnorm( F 0 2 deviation]) InvNorm( InvNorm(probability [, mean, standard deviation]) F 0 3 pdfT( pdfT(value, degree of freedom) F 0 4 cdfT( cdfT(lower limit, upper limit, degree of freedom) F 0 5 pdfχ...
Page 255: Draw Menus
Appendix Functions Keystrokes Syntax Page Commands Broken + No arguments Broken No arguments Norm •_X No arguments Norm+_X No arguments Norm _X No arguments Norm •_Y No arguments Norm+_Y No arguments Norm _Y No arguments NormDis No arguments No arguments MBox •...
Page 256: Zoom Menus
Appendix Functions Syntax Keystrokes Page Commands Draw Draw equation A 0 7 Shade( Shade(equation 1, equation 2 [, begin, end]) A 0 8 DrawInv DrawInv equation A 0 9 Circle(x-coordinate of center, y-coordinate of cen- Circle( A 1 0 ter, radius) Text(column, row, “character strings”) Text( A 1 1...
Page 257 Appendix Functions Syntax Keystrokes Page Commands No arguments Zm_In No arguments Zm_Out Default No arguments Zm_Default Square No arguments Zm_Square No arguments Zm_Dec No arguments Zm_Int Stat No arguments Zm_Stat Z FACTOR/POWER FACTOR No arguments No arguments Zm_x No arguments Zm_x No arguments Z EXP...
Page 258 Appendix Functions Syntax Keystrokes Page Commands No arguments Zm_sin No arguments Zm_cos No arguments Zm_tan Z HYP/STO/RCL sinh x No arguments Zm_sinh cosh x No arguments Zm_cosh tanh x No arguments Zm_tanh sinh No arguments Zm_sinh cosh No arguments Zm_cosh tanh No arguments Zm_tanh...
Page 259 Appendix 8. SLIDE SHOW menus Functions Syntax Page Keystrokes Commands CURR/PLAY/NEW/SELECT/EDIT CURR No arguments PLAY No arguments No arguments SELECT No arguments MOVE No arguments No arguments RENAME No arguments 9. PRGM menus Functions Syntax Keystrokes Page Commands EXEC No arguments EDIT No arguments No arguments...
Page 260 Appendix Functions Syntax Keystrokes Page Commands For variable, start value, end value [, increment] B 0 7 commands Next Next B 0 8 While While conditional statements B 0 9 commands WEnd B 1 0 WEnd Gosub Gosub label name B 1 1 Return No arguments...
Page 261 Appendix Functions Syntax Keystrokes Page Commands Decimal No arguments E 1 7 Mixed No arguments E 1 8 Improp No arguments E 1 9 x ± yi No arguments E 2 0 r ∠ θ No arguments E 2 1 P (in the Prgramming mode) FORMAT (in the Programming mode) FORMAT RectCursor...
Page 262 Appendix Functions Keystrokes Syntax Page Commands P (in the Prgramming mode) COPY (in the Programming mode) COPY StoLine No arguments RclLine No arguments 10. MATRIX menus Functions Keystrokes Syntax Page Commands m NAME mat A [(row, column)] mat B [(row, column)] mat C [(row, column)] mat D...
Page 263 Appendix Functions Keystrokes Syntax Page Commands augment( augment(matrix name A, matrix name B) C 0 4 identity identity dimension value C 0 5 rnd_mat( rnd_mat(number of row, number of column) C 0 6 row_swap( row_swap(matrix name, row number, row number) C 0 7 row_plus( row_plus(matrix name, row number, row number)
Page 264 Appendix Functions Syntax Keystrokes Page Commands Irr(initial investment, list of following collected Irr( investment [, frequency list] [, assumed revenue B 0 7 rate]) Bal(number of payments [, decimal place to Bal( B 0 8 round]) ∑Prn(initial number of payments, end number of ∑Prn( B 0 9 payments [, decimal place to round])
Page 265 Appendix Functions Syntax Keystrokes Page Commands No arguments No arguments No arguments 13. SOLVER menus Functions Syntax Keystrokes Page Commands ' (in the Solver mode) METHOD/EQTN/SAVE/RENAME Equation No arguments Newton&Bisect No arguments Graphic No arguments EQTN No arguments SAVE No arguments RENAME No arguments...

Sharp el-9950 Manual

Chapter 1 Getting Started

Chapter 2 Operating the Graphing Calculator

Chapter 3 Manual Calculations

Chapter 4 Graphing Features

Chapter 5 SLIDE SHOW Feature

Chapter 6 Matrix Features

Chapter 7 List Features

Chapter 8 Statistics & Regression Calculations

Chapter 9 Financial Features

Chapter 10 The SOLVER Feature

Chapter 11 Programming Features

Chapter 12 OPTION Menu

Appendix

Quick Links

Related Manuals for Sharp el-9950

Summary of Contents for Sharp el-9950

Table of Contents