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hp40g+.book Page i Friday, December 9, 2005 1:03 AM
HP 40gs graphing calculator
user's guide
Edition1
Part Number F2225AA-90001
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title.fm Page ii Friday, February 17, 2006 9:48 AM 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 WAR- RANTY 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 ERRORS OR FOR INC
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hp40g+.book Page iii Friday, December 9, 2005 1:03 AM Contents Preface Manual conventions ..............................................................P-1 Notice ................................................................................. P-2 1 Getting started On/off, cancel operations......................................................1-1 The display ..........................................................................1-2 The keyboard ............................................
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hp40g+.book Page iv Friday, December 9, 2005 1:03 AM Function aplet interactive analysis........................................... 3-9 Plotting a piecewise-defined function ................................ 3-12 4 Parametric aplet About the Parametric aplet .................................................... 4-1 Getting started with the Parametric aplet............................. 4-1 5 Polar aplet Getting started with the Polar aplet ......................................... 5-1 6 Sequence
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hp40g+.book Page v Friday, December 9, 2005 1:03 AM About the Inference aplet .....................................................11-1 Getting started with the Inference aplet .............................11-1 Importing sample statistics from the Statistics aplet ..............11-4 Hypothesis tests ..................................................................11-8 One-Sample Z-Test..........................................................11-8 Two-Sample Z-Test ...........................
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hp40g+.book Page vi Friday, December 9, 2005 1:03 AM Symbolic calculations........................................................ 13-20 Finding derivatives....................................................... 13-21 Program constants and physical constants ........................... 13-24 Program constants........................................................ 13-25 Physical constants ........................................................ 13-25 14 Computer Algebra System (CAS) What is a
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hp40g+.book Page vii Friday, December 9, 2005 1:03 AM Accessing CAS functions....................................................15-12 Equation Writer variables .................................................15-16 Predefined CAS variables .............................................15-16 The keyboard in the Equation Writer ..............................15-17 16 Step-by-Step Examples Introduction .......................................................................16-1 17 Variables and me
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hp40g+.book Page viii Friday, December 9, 2005 1:03 AM Aplet naming convention .............................................. 21-10 Example ..................................................................... 21-10 Programming commands ................................................... 21-13 Aplet commands.......................................................... 21-14 Branch commands ....................................................... 21-17 Drawing commands ............................
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hp40g+.book Page ix Friday, December 9, 2005 1:03 AM Solve aplet variables.......................................................R-11 Statistics aplet variables ..................................................R-12 MATH menu categories .......................................................R-13 Math functions ...............................................................R-13 Program constants ..........................................................R-15 Physical Constants .................
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hp40g+.book Page x Friday, December 9, 2005 1:03 AM
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hp40g+.book Page 1 Friday, December 9, 2005 1:03 AM Preface The HP 40gs is a feature-rich graphing calculator. It is also a powerful mathematics learning tool, with a built-in computer algebra system (CAS). The HP 40gs is designed so that you can use it to explore mathematical functions and their properties. You can get more information on the HP 40gs from Hewlett-Packard’s Calculators web site. You can download customized aplets from the web site and load them onto your calculator. C
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Preface.fm Page 2 Friday, February 17, 2006 9:47 AM Notice This manual and any examples contained herein are provided as-is and are subject to change without notice. Except to the extent prohibited by law, Hewlett-Packard Company makes no express or implied warranty of any kind with regard to this manual and specifically disclaims the implied warranties and conditions of merchantability and fitness for a particular purpose and Hewlett-Packard Company shall not be liable for any errors
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hp40g+.book Page 1 Friday, December 9, 2005 1:03 AM 1 Getting started On/off, cancel operations To turn on Press to turn on the calculator. To cancel When the calculator is on, the key cancels the current operation. To turn off Press OFF to turn the calculator off. To save power, the calculator turns itself off after several minutes of inactivity. All stored and displayed information is saved. If you see the ((•)) annunciator or the Low Bat message, then the calculator needs fresh batte
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hp40g+.book Page 2 Friday, December 9, 2005 1:03 AM The display To adjust the Simultaneously press and (or ) to increase (or decrease) the contrast. contrast To clear the display • Press CANCEL to clear the edit line. •Press CLEAR to clear the edit line and the display history. Parts of the display Title History Edit line Menu key labels Menu key or soft key labels. The labels for the menu keys’ current meanings. is the label for the first menu key in this picture. “Press ” means to
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hp40g+.book Page 3 Friday, December 9, 2005 1:03 AM Annunciators. Annunciators are symbols that appear above the title bar and give you important status information. Annunciator Description Shift in effect for next keystroke. To cancel, press again. α Alpha in effect for next keystroke. To cancel, press again. ((•)) Low battery power. Busy. Data is being transferred. The keyboard Menu Key Labels Menu Keys Aplet Control Cursor Keys Keys Alpha Key Shift Key Enter Key Getti
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hp40g+.book Page 4 Friday, December 9, 2005 1:03 AM Menu keys • On the calculator keyboard, the top row of keys are called menu keys. Their meanings depend on the context—that’s why they are blank. The menu keys are sometimes called “soft keys”. • The bottom line of the display shows the labels for the menu keys’ current meanings. Aplet control keys The aplet control keys are: Key Meaning Displays the Symbolic view for the current aplet. See “Symbolic view” on page 1-16. Displays the
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hp40g+.book Page 5 Friday, December 9, 2005 1:03 AM Entry/Edit keys The entry and edit keys are: Key Meaning Cancels the current operation if the (CANCEL) calculator is on by pressing . Pressing , then OFF turns the calculator off. Accesses the function printed in blue above a key. Returns to the HOME view, for performing calculations. Accesses the alphabetical characters printed in orange below a key. Hold down to enter a string of characters. Enters an input or executes an operati
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hp40g+.book Page 6 Friday, December 9, 2005 1:03 AM Key Meaning (Continued) CHARS Displays a menu of all available characters. To type one, use the arrow keys to highlight it, and press . To select multiple characters, select each and press , then press . Shifted keystrokes There are two shift keys that you use to access the operations and characters printed above the keys: and . Key Description Press the key to access the operations printed in blue above the keys. For instance,
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chapter-1.fm Page 7 Friday, December 16, 2005 2:20 PM HELPWITH The HP 40gs built-in help is available in HOME only. It provides syntax help for built-in math functions. Access the HELPWITH command by pressing SYNTAX and then the math key for which you require syntax help. Example Press SYNTAX Note: Remove the left parenthesis from built-in functions such as sine, cosine, and tangent before invoking the HELPWITH command. Note: In the CAS system, pressing the SYNTAX will show the CAS h
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hp40g+.book Page 8 Friday, December 9, 2005 1:03 AM • Pressing displays the list of Program Constants. You can use these in programs that you develop. • Pressing displays a menu of physical constants from the fields of chemistry, physics, and quantum mechanics. You can use these constants in calculations. (pSee “Physical constants” on page 13-25 for more information.) • Pressing takes you to the beginning of the MATH menu. See “Math functions by category” on page 13-2 for details o