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HP 50g graphing calculator
user’s manual
H
Edition 1
HP part number F2229AA-90001
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FrontPageQS49_E.backup.fm Page 2 Friday, February 24, 2006 4:54 PM Notice REGISTER YOUR PRODUCT AT: www.register.hp.com THIS MANUAL AND ANY EXAMPLES CONTAINED HEREIN ARE PROVIDED “AS IS” AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETT-PACKARD COMPANY MAKES NO WARRANTY OF ANY KIND WITH REGARD TO THIS MANUAL, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, NON-INFRINGEMENT AND FITNESS FOR A PARTICULAR PURPOSE. HEWLETT-PACKARD CO. SHALL NOT BE LIABLE FOR ANY ER
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SG49A.book Page 1 Friday, September 16, 2005 1:31 PM Preface You have in your hands a compact symbolic and numerical computer that will facilitate calculation and mathematical analysis of problems in a variety of disciplines, from elementary mathematics to advanced engineering and science subjects. This manual contains examples that illustrate the use of the basic calculator functions and operations. The chapters in this user’s manual are organized by subject in order of difficulty:
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SG49A.book Page 1 Friday, September 16, 2005 1:31 PM Table of Contents Chapter 1 - Getting started Basic Operations, 1-1 Batteries, 1-1 Turning the calculator on and off, 1-2 Adjusting the display contrast, 1-2 Contents of the calculator’s display, 1-3 Menus, 1-3 The TOOL menu, 1-3 Setting time and date, 1-4 Introducing the calculator’s keyboard, 1-4 Selecting calculator modes, 1-6 Operating Mode, 1-7 Number Format and decimal dot or comma, 1-10 Standard format, 1-10 Fixed format with decimal
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SG49A.book Page 2 Friday, September 16, 2005 1:31 PM Editing expressions in the stack, 2-1 Creating arithmetic expressions, 2-1 Creating algebraic expressions, 2-4 Using the Equation Writer (EQW) to create expressions, 2-5 Creating arithmetic expressions, 2-5 Creating algebraic expressions, 2-7 Organizing data in the calculator, 2-8 The HOME directory, 2-8 Subdirectories, 2-9 Variables, 2-9 Typing variable names , 2-9 Creating variables, 2-10 Algebraic mode, 2-10 RPN mode, 2-11 Checking varia
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SG49A.book Page 3 Friday, September 16, 2005 1:31 PM Available units, 3-9 Attaching units to numbers, 3-9 Unit prefixes, 3-10 Operations with units, 3-11 Unit conversions, 3-12 Physical constants in the calculator, 3-13 Defining and using functions, 3-15 Reference, 3-16 Chapter 4 - Calculations with complex numbers Definitions, 4-1 Setting the calculator to COMPLEX mode, 4-1 Entering complex numbers, 4-2 Polar representation of a complex number, 4-3 Simple operations with complex numbers, 4-4
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SG49A.book Page 4 Friday, September 16, 2005 1:31 PM The PROOT function, 5-9 The QUOT and REMAINDER functions, 5-9 The PEVAL function , 5-9 Fractions, 5-9 The SIMP2 function, 5-10 The PROPFRAC function, 5-10 The PARTFRAC function, 5-10 The FCOEF function, 5-10 The FROOTS function, 5-11 Step-by-step operations with polynomials and fractions, 5-11 Reference, 5-12 Chapter 6 - Solution to equations Symbolic solution of algebraic equations, 6-1 Function ISOL, 6-1 Function SOLVE, 6-2 Function SOLVE
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SG49A.book Page 5 Friday, September 16, 2005 1:31 PM Addition, subtraction, multiplication, division, 7-2 Functions applied to lists, 7-4 Lists of complex numbers, 7-4 Lists of algebraic objects, 7-5 The MTH/LIST menu, 7-5 The SEQ function, 7-7 The MAP function, 7-7 Reference, 7-7 Chapter 8 - Vectors Entering vectors , 8-1 Typing vectors in the stack, 8-1 Storing vectors into variables in the stack, 8-2 Using the Matrix Writer (MTRW) to enter vectors, 8-3 Simple operations with vectors, 8-5 C
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SG49A.book Page 6 Friday, September 16, 2005 1:31 PM Matrix multiplication, 9-5 Term-by-term multiplication, 9-6 Raising a matrix to a real power, 9-6 The identity matrix, 9-7 The inverse matrix, 9-7 Characterizing a matrix (The matrix NORM menu), 9-8 Function DET, 9-8 Function TRACE, 9-8 Solution of linear systems, 9-9 Using the numerical solver for linear systems, 9-9 Solution with the inverse matrix, 9-11 Solution by “division” of matrices, 9-11 References, 9-12 Chapter 10 - Graphics Graph
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SG49A.book Page 7 Friday, September 16, 2005 1:31 PM Chapter 12 - Multi-variate Calculus Applications Partial derivatives, 12-1 Multiple integrals, 12-2 Reference, 12-2 Chapter 13 - Vector Analysis Applications The del operator, 13-1 Gradient, 13-1 Divergence, 13-2 Curl, 13-2 Reference, 13-2 Chapter 14 - Differential Equations The CALC/DIFF menu, 14-1 Solution to linear and non-linear equations, 14-1 Function LDEC, 14-1 Function DESOLVE, 14-3 The variable ODETYPE, 14-3 Laplace Transforms, 14
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SG49A.book Page 8 Friday, September 16, 2005 1:31 PM Reference, 15-4 Chapter 16 - Statistical Applications Entering data, 16-1 Calculating single-variable statistics, 16-2 Sample vs. population, 16-2 Obtaining frequency distributions, 16-3 Fitting data to a function y = f(x), 16-5 Obtaining additional summary statistics, 16-6 Confidence intervals, 16-7 Hypothesis testing, 16-9 Reference, 16-11 Chapter 17 - Numbers in Different Bases The BASE menu, 17-1 Writing non-decimal numbers, 17-2 Refere
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SG49A.book Page 1 Friday, September 16, 2005 1:31 PM Chapter 1 Getting started This chapter provides basic information about the operation of your calculator. It is designed to familiarize you with the basic operations and settings before you perform a calculation. Basic Operations Batteries The calculator uses 4 AAA (LR03) batteries as main power and a CR2032 lithium battery for memory backup. Before using the calculator, please install the batteries according to the following procedure.
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b. Insert a new CR2032 lithium battery. Make sure its positive (+) side is facing up. c. Replace the plate and push it to the original place. After installing the batteries, press $ to turn the power on. Warning: When the low battery icon is displayed, you need to replace the batteries as soon as possible. However, avoid removing the backup battery and main batteries at the same time to avoid data lost. Turning the calculator on and off The $ key is located at the lower left corner of the key
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SG49A.book Page 3 Friday, September 16, 2005 1:31 PM Contents of the calculator’s display Turn your calculator on once more. At the top of the display you will have two lines of information that describe the settings of the calculator. The first line shows the characters: RAD XYZ HEX R= 'X' For details on the meaning of these symbols see Chapter 2 in the calculator’s user’s guide. The second line shows the characters { HOME } indicating that the HOME directory is the current file direct
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@@RCL@ C ReCaLl the contents of a variable @@STO@ D STOre the contents of a variable !PURGE E PURGE a variable @CLEAR F CLEAR the display or stack These six functions form the first page of the TOOL menu. This menu has actually eight entries arranged in two pages. The second page is available by pressing the L (NeXT menu) key. This key is the third key from the left in the third row of keys in the keyboard. In this case, only the first two soft menu keys have commands associated with them
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SG49A.book Page 5 Friday, September 16, 2005 1:31 PM For example, the P key, key(4,4), has the following six functions associated with it: P Main function, to activate the SYMBolic menu „´ Left-shift function, to activate the MTH (Math) menu …N Right-shift function, to activate the CATalog function ~p ALPHA function, to enter the upper-case letter P ~„p ALPHA-Left-Shift function, to enter the lower-case letter p Page 1-5
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~…p ALPHA-Right-Shift function, to enter the symbol π Of the six functions associated with a key only the first four are shown in the keyboard itself. The figure in next page shows these four labels for the P key. Notice that the color and the position of the labels in the key, namely, SYMB, MTH, CAT and P, indicate which is the main function (SYMB), and which of the other three functions is associated with the left- shift „(MTH), right-shift …(CAT ), and ~ (P) keys. For detailed informati
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SG49A.book Page 7 Friday, September 16, 2005 1:31 PM Operating Mode The calculator offers two operating modes: the Algebraic mode, and the Reverse Polish Notation (RPN) mode. The default mode is the Algebraic mode (as indicated in the figure above), however, users of earlier HP calculators may be more familiar with the RPN mode. To select an operating mode, first open the CALCULATOR MODES input form by pressing the H button. The Operating Mode field will be highlighted. Select the Al
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SG49A.book Page 8 Friday, September 16, 2005 1:31 PM You could also type the expression directly into the display without using the equation writer, as follows: R!Ü3.*!Ü5.- 1/3.*3.™ /23.Q3+!¸2.5` to obtain the same result. Change the operating mode to RPN by first pressing the H button. Select the RPN operating mode by either using the \ key, or pressing the @CHOOS soft menu key. Press the @@OK#@ soft menu key to complete the operation. The display, for the RPN mode looks as follows: N
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SG49A.book Page 9 Friday, September 16, 2005 1:31 PM Let's try some other simple operations before trying the more complicated expression used earlier for the algebraic operating mode: 123/32 123`32/ 2 4`2Q 4 3 27R3@» √(√27) Note the position of the y and x in the last two operations. The base in the exponential operation is y (stack level 2) while the exponent is x (stack level 1) before the key Q is pressed. Similarly, in the cubic root operation, y (stack level 2) is the quantity und
