HP 50g Graphing Calculator Quick Start Guide Edition 2 HP Part Number: F2229-90201 HP 50g Graphing Calculator Quick Start Guide HP 50g Graphing Calculator Quick Start Guide i i HP 50g Graphing Calculator ii HP 50g Graphing Calculator Quick Start Guide ii HP 50g Graphing Calculator Quick Start Guide Keyboard Map Legend Number Feature Number Feature 1 Context-sensitive menu items 11 Numerical result 2 Tool menu 12 Units menu 3 Mode menu 13 Alphabetic entry 4 Next key 14 Backspace (delete and clear) 5 Tick key 15 EquationWriter 6 Numeric and Symbolic Solvers 16 Cursor keys 7 Shift keys 17 Context-sensitive menu keys 8 On/Off/Cancel keys 18 Graphing functions 9 Space key 19 Screen display 10 Enter key 20 Header area The table above and the photo on the previous page illustrate just a few of the many features available on the HP 50g Graphing Calculator. These topics, as well as other features of the calculator, are discussed in the following quick start guide. For a complete list of features of the HP 50g Graphing Calculator, refer to the HP 50g Graphing Calculator User’s Manual, the HP 50g Graphing Calculator User’s Guide, and the HP 50g/49g+/48gII Advanced User's Reference. These manuals are found on the HP website, www.hp.com. HP 50g Graphing Calculator Quick Start Guide HP 50g Graphing Calculator Quick Start Guide iii iii Legal Notices 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 Company shall not be liable for any errors or for incidental or consequential damages in connection with the furnishing, performance, or use of this manual or the examples contained herein. Copyright © 2009 Hewlett-Packard Development Company, L.P. Reproduction, adaptation, or translation of this manual is prohibited without prior written permission of Hewlett-Packard Company, except as allowed under the copyright laws. Hewlett-Packard Company 16399 West Bernardo Drive MS 66M-785 San Diego, CA 92127-1899 USA Printing History Edition 2, November 2009 iv iv HP 50g Graphing Calculator Quick Start Guide HP 50g Graphing Calculator Quick Start Guide Table of Contents HP 50g Graphing Calculator............................................................................................................................... ii Keyboard Map Legend ...................................................................................................................................... iii Legal Notices.................................................................................................................................................... iv Welcome to your HP 50g Graphing Calculator .....................................................................................................1 Manual Conventions...........................................................................................................................................2 Keyboard, Menus, and Annunciators....................................................................................................................2 Basic Math ........................................................................................................................................................4 Using RPN.........................................................................................................................................................5 Working in Algebraic Mode from RPN Mode ........................................................................................................8 Using Equation Solvers .......................................................................................................................................9 Using Units ......................................................................................................................................................12 Memory Management ......................................................................................................................................14 Graphing Functions ..........................................................................................................................................16 Advanced Memory Management .......................................................................................................................19 Using the Computer Algebra System (CAS) – Approximate versus Exact..................................................................21 Factoring and Solving.......................................................................................................................................22 Simplification and Integration ............................................................................................................................24 CAS Troubleshooting ........................................................................................................................................24 Troubleshooting and FAQs ................................................................................................................................25 Basic Features, Customizing the Calculator, and Setting the Internal Clock ..............................................................28 Additional Information, Features, and References .................................................................................................33 Product CD: Manuals, and Learning Modules ......................................................................................................33 Additional Character Sets .................................................................................................................................35 ROM Updates and Forums ................................................................................................................................37 Built-in Libraries................................................................................................................................................37 Financial Problems ...........................................................................................................................................38 StreamSmart ....................................................................................................................................................39 Statistics..........................................................................................................................................................39 i i Probability ...................................................................................................................................................... 40 The Math Menu in RPN and Algebraic Modes..................................................................................................... 43 Trigonometric and Inverse Trigonometric Functions ............................................................................................... 44 Hyperbolic and Inverse Hyperbolic Trigonometric Functions .................................................................................. 44 Percentage functions ........................................................................................................................................ 44 Replacing the Batteries ..................................................................................................................................... 47 Warranty and Contact Information..................................................................................................................... 47 Product Regulatory & Environment Information..................................................................................................... 51 ii ii 1 Getting Started Welcome to your HP 50g Graphing Calculator Congratulations on the purchase of your new calculator! The 50g is a very powerful graphing calculator based on the HP-48 series of calculators, which were designed specifically for engineers and mathematicians. Once you perform multiple calculations and work actual engineering or math problems with the 50g, you will appreciate the variety of tools available and the many ways advanced problems can be solved with this calculator. Before getting into specifics about the operation of the calculator, you may wish to read through Table 1-1 on page 26 to familiarize yourself with some common questions associated with the using this calculator. This quick start guide is intended to be read from start to finish, and it should take about an hour to complete. It will introduce you to the most important features used for solving general math problems, show you many shortcuts, and identify common problems new users often encounter. In addition, it will point you to locations where more detailed information can be found. In-depth explanations of operations are not found here; a simple, step-by-step approach to problem solving is applied. As you proceed through the quick start guide, examples use concepts, skills, and operations introduced in earlier sections. For example, at some point, you may be asked to work with an equation that you stored in an earlier section. If you have not started from the beginning, you will not have this equation, and your results may vary. Although it is tempting to jump through the manual to find interesting parts, every step and section in this booklet is designed to outline important information and teach you useful techniques in a specific progression. Thus, it is highly recommended you take the time to understand the concepts in the order in which they are introduced. With a little time and practice, you will be solving problems and performing advanced calculations with ease. For more detailed information about the 50g Graphing Calculator, refer to the HP 50g Graphing Calculator User’s Manual, the HP 50g Graphing Calculator User’s Guide, and the HP 50g/49g+/48gII Advanced User's Reference. These manuals are found on the HP website, www.hp.com, and are cited throughout this manual; it is highly recommended you refer to these manuals to thoroughly familiarize yourself with the many features of your calculator. The 50g is capable of performing operations in both Algebraic and Reverse Polish Notation (RPN) modes. Although Algebraic is the default operating mode, it is highly recommended you take the time to learn RPN, as many of the 50g’s features work more efficiently when performed in RPN. For more detailed information about RPN, visit www.hp.com/calculators. Getting Started Getting Started 1 1 Manual Conventions This manual makes use of certain conventions with text to differentiate between key presses and on screen display options. • Keyboard keys are represented by CAPITAL letters. • The symbols ! and @ represent the left-shift and right-shift keys, respectively. These symbols, when followed by CAPITAL letters or key symbols, indicate shifted functions of the keyboard keys. • Menu items for menu keys are also spelled out in CAPITAL letters, followed by the term, menu key. • Field names, choose box options, and other on screen text appear in BOLD. • UP, DOWN, LEFT, RIGHT refer to the silver cursor keys. • Letters of the alphabet are indicated by ] followed by the keyboard key on which the letter appears. For example, to type the letter C, press ] F3(C). • Numbered keys are represented simply by printed numbers: 1, 5, 123.35, etc. Occasionally, symbols of the actual keys may be used for clarification in long command sequences. Some key commands require you to press and hold a shift key while simultaneously pressing one or more keys. These commands are spelled out specifically in the text. Keyboard, Menus, and Annunciators 1. To begin, press ON. With the power on, the ON key becomes CANCEL. Press ON to cancel an operation and clear the screen display. Press the TOOL key. Notice that there are six items at the bottom of the screen. These items make up a menu (see Figure 1). To use a menu, press the key directly beneath the desired menu item. This menu will change as you use the calculator. Figure 1 2. 2 Notice how there is both a white function and an orange function printed above most keys on the keyboard. There is also a yellow character printed on the right side of most keys. Look at the orange function above ON. Press the orange right-shift, @, followed by ON, and the unit powers off. Getting Started 2 Getting Started 3. Press ON to turn the calculator back on. Now hold down ON and simultaneously press the + key repeatedly. The screen darkens. Notice the six symbols that appear at the very top of the screen. These symbols are called annunciators. The three on the left indicate that a shift key, left, right, or Alpha, is active. Following the Alpha key annunciator is the low battery annunciator and the busy annunciator, and the communication annunciator is at the far right. Press and hold the ON key. With ON pressed, simultaneously press the - key repeatedly until the screen is at a contrast you prefer. 4. If the calculator during operation is non-responsive, or seems locked up, press CANCEL a few times. If it doesn't respond, you may reboot the machine by pressing and holding ON and simultaneously pressing the F3 key. Release the F3 key, followed by ON. When you release the ON key, the calculator reboots. This is called a warmstart. To clear all your memory from RAM, press and hold the ON, F1, and F6 keys simultaneously. Release F6, then F1, then ON. After a beep, the screen displays, Try to Recover Memory?, with YES or NO menu key options. Press the NO menu key. If nothing happens, push any key. After the beep, press the NO menu key. The following steps in this manual assume you have cleared your memory, and you have no extra programs installed. If you have not cleared the memory, results presented in the guide may vary from your own. Please clear all your memory as described in step 4 above before preceding. Now that your 50g is ready to go, let’s look at the screen (see Figure 2). The top section is called the header. The header displays important information about the status of the calculator: RAD XYZ HEX R= 'X' ALG and {HOME}. These groups of letters indicate the calculator is set for radians, Cartesian coordinates, the Hexagesimal number base, real numbers with exact results, 'X' as the default variable, and Algebraic operating mode. {HOME} means you are in the Home directory. As we work, note how the information in the header changes. Don't worry what everything means right now. 5. 6. Figure 2 Getting Started Getting Started 3 3 7. The main, or middle area of the screen is called the history, or the stack. This is where your numbers and equations appear as you work. The bottom portion is where the edit, or entry line, and the menu appear. For more information on the keyboard, menus, and the calculator display, see Chapter 1 of the HP 50g Graphing Calculator User’s Manual or the HP 50g Graphing Calculator User’s Guide. Basic Math 8. To begin, type 1+1. Notice the entry line and the blinking cursor. Press ENTER. The result, 2, is returned at the far right. 9. Now press the UP cursor key twice to select 1+1. Press the EDIT menu key to open a tool called the EquationWriter. The EquationWriter allows you to write complex equations very easily and see them exactly as they might appear on paper (see Figure 3). Figure 3 10. With 1+1 highlighted, press the / key followed by the number 5. Notice how it is displayed just as you might write it out on 1+1 paper, ------------ , along with the blinking cursor. Press ENTER to return the equation to the editline, then ENTER once again to evaluate 5 2 it. The result is --- . What is going on here? 5 11. 4 Notice up in the header the R= symbol. Recall this means that the calculator is in exact mode. Keep your eye on that R=. While holding down the @ key, simultaneously press ENTER. The R= toggles to R~. Do it a few times and see how it changes. Before preceding to the next step, leave it set as R~. Getting Started 4 Getting Started 12. 13. Now press ! followed by HIST(CMD). A box called a choose box with your last four typed entries is shown. With (1+1)/5 selected, press the OK menu key followed by ENTER. This time, the result is .4. As a general rule, you can think of exact mode solutions, R= , as combinations of fractions, integers, square roots, equations and values of PI. In approximate mode, R~, everything is evaluated to a single, numerical answer. Press the UP cursor key and observe how line two, above the highlight, now displays (1.+1.)/5., and line four displays (1+1)/5. The extra periods after the numbers indicate approximate mode instead of exact mode. We will elaborate on this difference later. Press CANCEL followed by the CLEAR menu key. Your stack is now cleared. For more information about creating and entering basic expressions, see Chapter 2 of the HP 50g Graphing Calculator User’s Manual or the HP 50g Graphing Calculator User’s Guide. Using RPN The 50g comes from a history of calculators designed specifically for engineers and mathematicians. As such, it has very powerful tools that permit you to enter, work with, and solve math problems quickly and efficiently. One of these tools is Reverse Polish Notation, (RPN). RPN's greatest strength is that it lets you work out problems one small piece at a time. You don't have to type everything into a long equation and worry about using parentheses to set the order of operation. Because the 50g comes from a line of calculators that used RPN exclusively, the calculator is easier to use and functions most effectively in RPN mode. 14. Let’s change a few settings on our unit and get into RPN mode. Press the MODE key. A screen called an Input Form appears. These full screen forms are used for a variety of tasks. On this screen, titled, Calculator Modes, many basic settings are shown. To begin, press the FLAGS menu key. Press the UP cursor key until you reach 117 CHOOSE boxes. Press the CHK menu key to toggle to Soft Menu. Press ENTER to return to the input form. 15. Press the UP cursor key five times. Notice how the menu and help text directly above the menu changes as you select different fields. Once back on the first field, see how Algebraic is selected. Press the CHOOS menu key and a Choose Box appears (see Figure 4). Press the DOWN cursor key to select RPN, then press ENTER. RPN appears in the first field, and it now will be the active operating mode when the input form is closed. Choose boxes in input forms can also be changed by pressing Wwith a field highlighted. Press this key a few times and note how it toggles between RPN and Algebraic. With RPN selected, press ENTER again to save your settings and exit the input form. Getting Started Getting Started 5 5 Figure 4 16. 17. Upon exiting, you will notice that the left side of the screen has numbers from 1-7 (see Figure 5). Press the 2 key, followed by the # key. Press the 3 # 4 keys, in that order, followed by ENTER. The three numbers appear on different levels of the stack, numbered 1-7. The number 2. is on Level 3 of the stack, as it corresponds to the number 3: on the left. Also, check the header. When the calculator is in RPN mode, the ALG annunciator is no longer displayed (see Figure 6). Press ENTER again and notice how a copy is made of Level 1 on the stack (see Figure 7). This is a useful feature, as it allows you to save your previous work. Let’s now multiply 4x4. Since 4 is already stored on both Level 1 and Level 2, simply press *. The result, 16., is placed on the stack, and the other two numbers move down. You now should have, from top to bottom, 2., 3. and 16. on the stack. Figure 5 6 Getting Started 6 Getting Started Figure 6 Figure 7 Figure 8 18. Figure 9 Figure 10 Let's calculate 16/3. However, the numbers are in the wrong order on the stack for this operation. No problem, press the RIGHT cursor key to swap their positions (see Figure 8). Now press / and 5.33 (repeating) appears. Let’s square that result by pressing the RIGHT cursor key to swap Levels 1 and 2, followed by the 19. Press Qkey. The final result, 28.44 (repeating) appears. @ followed by \ (BACKSPACE) to clear the stack. 20. Now let's work a more complex problem to show how RPN allows you to break down complex problems into simpler steps. 21. Calculate: x = ( 8.33 ( 4 – 5.2 ) ) ÷ [ ( 8.33 – 7.46 )0.32 ] . -----------------------------------------------------------------------------------------4.3 ( 3.15 – 2.75 ) – ( 1.71 ) ( 2.01 ) To work this problem using RPN, break the larger problem down into smaller pieces. As you work through this example, watch and note how the more complex problem becomes a series of simple parts as you work it out. Start on the inside of the parentheses and work outwards. Begin by solving the upper part of the equation inside the square root. Type 8.33 ENTER 4 # 5.2 followed by -. See how the result is calculated with 8.33 and -1.2 on the stack. Press * and move on to the next group of numbers. Type 8.33 # 7.46 followed by -. .87 appears on the stack. Type .32 followed by * to multiply those numbers. You now have -9.996 and .2784 on the stack (see Figure 11). Press / to divide those numbers. You have now solved the upper half of that equation. The intermediate result is -35.905... Getting Started Getting Started 7 7 Figure 11 22. Moving on the lower half, type 4.3 ENTER 3.15 # 2.75 -, followed by *. 1.72 appears and you can move on to the next part. Type 1.71 ENTER 2.01 followed by * to return 3.4371. Press - and you have now solved the lower part of the equation. Press / to divide the top from the bottom, followed by Rto find the square root. The final result, 4.5727… is returned. For more information about RPN, see Chapter 2 of the HP 50g Graphing Calculator User’s Manual or www.hp.com/ calculators. Working in Algebraic Mode from RPN Mode 23. Let's now work the previous problem in Algebraic mode. You can actually use Algebraic mode with RPN set as the active operating mode. Press the Tick key, ³, and note '' appears on the editline. Note how the ALG annunciator also returns to the header, indicating Algebraic mode is now active. As an exercise, try to repeat the last example by typing the entire expression in as a single equation. 24. The exact keystroke sequence after pressing ³ is: R!-8.33*!-45.2 RIGHT cursor /!-!-8.33-7.46 RIGHT cursor *.32 RIGHT cursor /!-4.3*!-3.152.75 RIGHT cursor -1.71*2.01 ENTER. The equation should appear as it might be written out on paper. 25. Press @ followed by ENTER(->NUM) to return the same numerical result, 4.5727… There are 66 keystrokes in Algebraic mode compared to 61 with the RPN solution. However, you may have added some keystrokes with editing in order to get all the parentheses in their correct locations. While RPN generally requires fewer keystrokes, having the ability to break problems into smaller pieces helps you catch mistakes early on and avoid long, consecutive key sequences. 8 Getting Started 8 Getting Started ³ so '' appears on the editline. You can now enter data just as you normally would in Algebraic mode. For example, with '' on the editline, type 2 + 2 * 4 Q 2 . When you are done, press ENTER and notice how your equation appears on the stack. Press ENTER to duplicate it, and then @ followed by ENTER (->NUM) to return a final numerical result. Another option for entering equations and expressions is the EquationWriter. Press @ followed by ³(EQW) to open the EquationWriter (see Figure 12). Let's type in and solve a problem using the Pythagorean theorem. Type 14 Q2 followed by RIGHT cursor + 20 Q2 then RIGHT cursor RIGHT cursor followed by R. You now have the equation entered into the equation writer (see Figure 13). Now press the EVAL menu key, followed by @ then HIST (UNDO). The EVAL menu key 26. With RPN as the active operating mode, you can still use Algebraic mode at anytime. Press 27. evaluates what is currently highlighted, and the UNDO command will undo your last command. Now with the whole equation highlighted, as shown in Figure 13, press @ then VAR (COPY). We will use this later. Now press ENTER. Your equation is now on the stack. Press @ then ENTER (->NUM) to evaluate your problem. The hypotenuse is ~24.413. Figure 12 Figure 13 Figure 14 Using Equation Solvers 28. Let's say you have to work several problems involving the Pythagorean Theorem from the last example. Rather than typing them all in individually, wouldn't it be nice to solve any part of the formula? The many built-in solving tools, including HP Solve, can help you do this. Getting Started Getting Started 9 9 29. 30. There are two major types of solvers on the 50g: numeric and symbolic. Let's examine the Numeric Solver first. Press @ followed by 7(N.SLV). A choose box appears. Press 3 and note how the highlight jumps to the corresponding item. Press 1 to jump back to Solve Equation and press ENTER. A full screen solver appears (see Figure 15). To begin, we must enter an equation to solve. Rather than typing it all in at once, let's use the EquationWriter again. Press @ followed by ³ (EQW). Now let's paste in the formula we copied from the last example by pressing @ followed by L (PASTE). The whole expression is highlighted as shown in Figure 13. Let's rewrite this 2 2 2 to be A + B = C . Press ! followed by \ (DEL) to remove the square root function (see Figure 16). Now press the CURS 2 menu key and notice a cursor appears on a box around 14 . Use the cursor keys to move the cursor and the box around the equation. As you move, note how you can select individual items, or groups of the whole expression. Use the RIGHT and DOWN cursor keys so the box surrounds only the 20 and then press ENTER to select 20 (see Figure 17). Figure 15 31. Figure 16 Figure 17 Press the ] key to access the letters of the alphabet printed in yellow on the keys. Press ] followed by F1 (A) and note how the 20 is replaced by a letter A (see Figure 18). Press the cursor keys as follows: UP UP LEFT DOWN to highlight the 14. Press ] followed by F2 (B) to replace the 14 with a letter B (see Figure 19). Press the cursor keys, UP UP, followed by 2 cursor. The B term moves to the left (see Figure 20). Press 2 ! then 2 reads A + B . Press UP until the entire expression is highlighted. Press ] followed by F3(C) Q 2. You now have the full 10 Getting Started 10 Getting Started 2 2 2 ! then RIGHT LEFT cursor and it moves back. Position it so the equation @ followed by Wto insert an equals sign, =, then A + B = C (see Figure 21). Press ENTER. 32. Figure 18 Figure 19 Figure 20 Figure 21 Figure 22 Figure 23 Notice how your solver screen now has fields to enter values for A, B, and C (see Figure 22). Note A is currently highlighted. Type 10 and press ENTER. A now has the value 10, and the highlight moves to B. You can also type simple math problems in an input 2 form. For example, type 5 # 2 Q and press ENTER. 5 , or 25, appears as the value for B. Now with C selected, press the SOLVE menu key. Shortly, the result 26.9258... is returned. 33. What if C remains the same, but A changes to 15? What should B change to? You don't have to rewrite your equation to find out. Press the DOWN cursor key twice to select A. Type 15 ENTER and now with B selected, press the SOLVE menu key. The result, 22.36... appears. In this way, any variable in any part of the equation can be solved without re-entering all the data. 34. Numerical solvers can often return several results, especially for functions that are periodic, (SIN, COS), as well as many polynomials. Let's examine how this works. Getting Started Getting Started 11 11 35. Press DOWN and highlight C. Now type in 9 WV 30 so -9E30 is displayed, then press ENTER. A very large negative number appears in C. Press UP to highlight C again. You have now entered an initial guess for the solver. Press the SOLVE menu key and then press any other key other than CANCEL. You will see numbers rapidly converging down to a value. After a few moments, 2 2 note -26.9258... appears. Why? Because – 26.9528 is the same as 26.9528 . With many functions, setting a different initial guess will determine which numerical solution appears. For more information about using solvers, see Chapter 6 of the HP 50g Graphing Calculator User’s Manual or the HP 50g Graphing Calculator User’s Guide. Using Units In physics, engineering, and science calculations, units and unit conversions are often a critical part of problem solving. The 50g lets you work without adding steps to your calculations when units and unit conversions are required. Let’s learn how to use them. 36. Imagine that your triangle from the previous problem now has units. We can solve using units as well. Press UP UP to select A. Now Press 10 @-]! HIST (M) ENTER, followed by 85 @-]]!] F6 (F) COS (T) ENTER, then [email protected]]]!] F3 (C) HIST (M) ENTER. You have now entered values with assigned units for A, B and C (see Figure 24). It is necessary to assign units for all three variables so the 50g knows which units to use during the calculation, as the 50g won’t know which unit to assign to a variable without a unit. Note how the units are preceded by the underscore edit mark in the key sequence above by pressing 37. @-. Now press UP to select C and press the SOLVE menu key. After a short wait, 2777.092.._cm is returned (see Figure 25). Type 3000 and press ENTER. Note the currently assigned unit is retained. Press DOWN to select A and press SOLVE. The result, 15.125..._m is returned. 12 Getting Started 12 Getting Started 38. Press ENTER to exit to the stack. You will see the variables you solved for labeled with units (see Figure 26). Let's convert the units on Level 1. Press @ followed by 6 (UNITS) for the Units menu. Figure 24 Figure 25 Figure 26 Figure 27 Figure 28 Figure 29 Notice the menu items change to TOOLS, LENG, etc., as shown in Figure 27. Press the LENG menu key and length units appear on the menu. Press ! followed by the YD menu key and notice your length on Level 1 is changed to yards (see Figure 28). Press L to see more length units. Press L again and then ! followed by the CHAIN menu key to convert from yards to chains. Press L two more times to wrap around once again to your first menu page and press ! followed by the M menu key to convert back to meters (see Figure 29). 39. The 50g supports compound units as well, such as m/s. Many units are defined by combinations of other unit types. A well known example is the Newton, a measure of force. Press 1 @ 6 L, the FORCE menu key, followed by the N menu key. 1 newton Getting Started Getting Started 13 13 is placed on the stack. Now press L, followed by the UNITS, TOOLS, and UBASE menu keys. The NEWTON is converted to 1 kg × mkg times meters divided by seconds squared, or 1 --------------. 2 s 40. The 50g supports many other unit capabilities such as prefixes (giga, kilo, centi, micro, etc.) and is an invaluable tool for physics and engineering problems. Using the built-in unit tools, you can utilize units directly in your calculations and save yourself from time-consuming conversions. Press @ followed by \ (CLEAR) to clean off your stack before the next section. For more information about operations with units, see Chapter 3 of the HP 50g Graphing Calculator User’s Manual, or the HP 50g Graphing Calculator User’s Guide. Memory Management 41. As we've worked, several variables have been created in the calculator’s memory. Press VAR and a menu with items stored in your local memory appears. You will notice variables C, B, A and EQ are there. Press the C menu key and notice that your previous C variable appears on the stack (see Figure 30). 42. Press ] F3(C) then ENTER. The VALUE stored in C from the previous problem also appears (3000._cm). This is because by typing C alone, the 50g looks in your memory, discovers a variable stored there named, C and uses it. 43. Now press ³ followed by the C menu key and press ENTER. Notice how this time the C is not automatically evaluated. Placing it inside tic marks (' ') has turned it into a variable name on the stack. Press 100 ENTER followed by RIGHT cursor (see Figure 32). Now press STO to store 100 into variable C. How are we sure it was stored? Press ³, followed by ] then F3(C) to place 'C' on the stack. Press Figure 30 14 Getting Started 14 Getting Started ! followed by STO (RCL) to recall the variable named 'C'; the value 100. appears on the stack. Figure 31 Figure 32 Figure 33 Figure 34 Figure 35 2 44. Now press @³(EQW) to open the EquationWriter. This time, type ] F3 (C) Q 2 ENTER. C appears on the stack (see Figure 33). This is an Algebraic object. Press the UP cursor and you will see 'C^2' on the stack (see Figure 34). The EquationWriter automatically surrounded the equation with ticks. In short, to prevent automatic execution of a variable, equation, program or any other object, simply place it inside ticks. Press CANCEL to exit the interactive stack mode. 45. Now press ENTER to make a second copy of C . Press @ followed by ENTER (->NUM) and the value of the variable C, 100, is used, returning a result of 10000. (see Figure 35). It can be tedious to type variable names every time. Since storing and using variables is essential for many complex calculations, a quicker way is desired. Press VAR to show your variables again. This time, press @ followed by the C menu key. Just as if you 46. 2 typed 'C' and pressed RCL, the value is recalled. Type 2 then followed by the C menu key. With C 2 / and 50 appears. To save the value back into C, press ! on Level 1, (you may have to press \ once) now press @ ENTER (->NUM) to evaluate 2 C . Since 50 was used, the result this time is 2500. For more information on memory and memory management, see Chapter 26 of the HP 50g Graphing Calculator User’s Guide. Closely related to the numerical solver we just explored is the HP Equation Library. The equation library contains hundreds of sorted equations organized into categories. These equations have detailed information about the equations, including pictures and variable information. Using the equation library, you can numerically solve, with full unit support, series of related equations quickly by entering a few of the variables. Also included with the 50g is the HP Periodic Table of the Elements. The Periodic Table of the Elements displays a graphical version of The Periodic Table of the Elements and 23 different properties for each element, plots elements in relation to one another based Getting Started Getting Started 15 15 on those properties, and calculates molecular weights for chemical formulas. These tools come installed on your calculator, and you are encouraged to explore them after you complete this quick start guide. To access these installed library programs, press APPS and scroll to the bottom of the list using the UP or DOWN cursor keys. If you do not see the Equation Library or The Periodic Table of the Elements in that list, it has been deleted from Port 2 of your calculator. Feel free to download and install it by visiting www.hp.com/calculators. Graphing Functions Let’s now create a simple function and graph it. To begin, clear the stack by pressing 47. 48. 49. @ followed by \. Above keys F1-F6 there are six labels printed in white used for plotting and graphing accessed by the ! key. Remember in the last section how @-(variable) and !-(variable) recalls and stores. Because this key sequence performs the recall and store features, in order to access the labels used for plotting and graphing, you will need to press and hold the ! key, then press and hold the F1-F6 keys so both keys are pressed simultaneously. Now press and hold ! and simultaneously press and hold F4(2D/3D). Release the F4 key, then !. The Plot Setup screen appears (see Figure 36). Press the CHOOS menu key and a list of plotting options appears (see Figure 37). Ensure that Function is selected and press ENTER. Now press and hold ! and simultaneously press and hold F1(Y=) to open the plot screen. Since the Function plot option was selected, the title of the page is, PLOT-FUNCTION (see Figure 38). Figure 36 50. Figure 37 Figure 38 Notice that the function we used earlier in the Numeric Solver has appeared in both the EQ: field on the Plot Setup page and on the Plot-Function page. Since we don't want to plot that, press the DEL menu key to remove it. Now press the ADD menu key and 16 Getting Started 16 Getting Started the EquationWriter appears with Y1(X)= (see Figure 39). Type 1 / 4 RIGHT cursor *x (the x key above the 8 key) Q 3 followed by RIGHT cursor twice -x (x key) Q 2 followed by RIGHT cursor twice then + 1 ENTER. You 1--- 3 2 have now entered Y1 ( x ) = 4 x – x + 1 (see Figure 40). Press and hold ! and F2 (WIN) to open up an input form titled, Plot Window to check the window size (see Figure 41). In here, you can change your default horizontal and vertical window settings. The default values should work fine, so press the ERASE menu key to remove any previous graphs, followed by the DRAW menu key. The 50g graphs the plot (see Figure 42). Figure 39 Figure 40 Figure 41 Figure 42 Getting Started Getting Started 17 17 Figure 43 51. 52. Figure 44 Figure 45 Use the cursor keys to move along the axes. Press the ZOOM menu key to open a menu with zooming options. In here, you can zoom in and out, select a region using a box, and find many other options. Press L a few times to see more options. Feel free to try several zoom options. Use the ZDFLT menu key to return to the default zoom size. To leave the ZOOM menu, press L until you see the PICT menu key (see Figure 43). Press the PICT menu key to return to the main plot screen. Once back to the main plot screen, press the TRACE menu key. A small white box to the right of the menu key indicates the tracer is active, and the cursor now traces along the function. Use the RIGHT and LEFT cursor keys to move (see Figure 44). Press the FCN menu key for options for finding roots, areas, intersections, and slope, among other options. Press the ROOT menu key to calculate the closest root (see Figure 45). Press the L key so the menu appears again, then L again to see more options. Here, press the F' menu key. The derivate of your function is performed, and then drawn on the screen along with the original function (see Figure 46). Figure 46 18 Getting Started 18 Getting Started Now press CANCEL to exit the graph screen. Press and hold ! and simultaneously press F1 to return to the plot screen (see Figure 47). Select the .25 3. X^2-2x function (the derivate) and press the DEL menu key. Now press and hold ! and simultaneously press F6 to enter the table. You can easily see a table of your X and function values. Select an item in the X column and type 1.215. Press ENTER. The table jumps to that value and redisplays, as shown in Figure 49. For more information about graphing, see Chapter 10 of the HP 50g Graphing Calculator User’s Manual or Chapters 12 and 22 of the HP 50g Graphing Calculator User’s Guide. Figure 47 Figure 48 Figure 49 Advanced Memory Management 53. Go ahead and press CANCEL to exit the table view. Press VAR to access your menu variables. As you plot, a function named Y1 is automatically created to allow quick calculations with your function. Type -1.12 and press the Y1 menu key. The value is taken and the function calculated. 54. Press ! followed by APPS (FILES) to open the Filer in order to examine your memory. HOME is where the objects used during calculations are stored. Libraries, programs that extend the functionality of your calculator, can be stored in port 0, Port1, or Port2. Port2 is the most secure, and libraries normally should be placed here. 55. Notice there is a tree under HOME showing CASDIR. With HOME selected, press the RIGHT cursor key to dive into that memory location. Use the UP and DOWN cursor keys to scroll through objects. You should see the objects that have been created during this quick start guide such as A, B, C, EQ, and so on. Notice the CASDIR folder is shown with a little folder icon. Other objects have different icons to represent what they are as well. Getting Started Getting Started 19 19 56. Next, let’s create a folder to store and organize your previous equations and data. Press key. Press DOWN cursor and then 57. L and followed by the NEW menu ]] and type the letters for PYTHAG. Press ENTER. Press W to check the Directory checkmark. Press the OK menu key to accept. A new directory titled, PYTHAG is created. 58. Use the DOWN cursor to highlight B. Press ENTER and notice a 1 is placed next to the left of the variable. Continue selecting C and EQ by using the cursor keys and pressing ENTER until they also are numbered. Now press ! followed by L (PREV) to move through the previous menu rows. With COPY as an option, press the COPY menu key and the memory tree appears. Select the PYTHAG directory under HOME and press ENTER. Your objects are now copied to the directory. 59. Select the PYTHAG directory using the cursors and press RIGHT to dive into the folder. You should see the A, B, C , and EQ objects. Select A and press L, followed by the PURGE and YES menu keys. A should be deleted. Press LEFT cursor to return out of that folder. Now select B, C, and EQ like before, and press the PURGE menu key again. This time press the ALL menu key to delete all the selected objects. Since you were planning to delete the objects instead of making copies of them, using the MOVE menu key would have accomplished this with one step. 60. Press CANCEL to exit the filer. Press VAR and notice there is a PYTHA folder on the menu. Press the PYTAH menu key, and your B, C, and EQ variables appear. Notice that there is no A variable. Press @ followed by 7, and then press ENTER. Your previous EQ appears, along with A, B ,and C. Notice that even though there is no A in this folder, the 50g searches upwards in memory, discovers an A variable in the directory above, and uses it. This behavior can often surprise new users who get an unexpected answer when using the Computer Algebra System (CAS), because an old X variable is found. Figure 50 20 Getting Started 20 Getting Started Figure 51 Figure 52 Using the Computer Algebra System (CAS) – Approximate versus Exact The Computer Algebra System (CAS) on the 50g is extremely flexible and powerful. It can do everything from simple factorizations to advanced calculus. With a little experimentation, you'll quickly be able to calculate and solve a variety of problems. Throughout this guide, we've mentioned the Exact and Approximate modes used during calculations. When using the CAS, be aware of all of the calculator’s current settings by glancing at the header. If you do not verify the settings before calculations, the 50g may not return expected results. 61. The most important of these settings is Exact/Approximate mode. To begin, toggle back to Exact mode by pressing and holding @ and simultaneously pressing ENTER. R= in the header indicates Exact mode is the active setting. 62. Now type 100 and press ENTER. 100 appears on the stack (see Figure 53). Press @ followed by SYMB (CAT) to access the command catalog. Press @ followed by UP to jump to the top of the list and select the factorial command (!). Press ENTER. Shortly, a very large number appears (see Figure 54). Press UP followed by the VIEW menu key. Press and hold the RIGHT cursor key to scroll through the numbers. If you scroll to the end, you will have viewed all 158 digits in 100! Press CANCEL to exit to the interactive stack, and then CANCEL again. 63. Now type 100. (with a decimal point) followed by ENTER. The dot (.) indicates that this is a real number. Numbers such as 2.35 and 0.33333333334 are also real numbers. 2 and 100 without a dot, are called integers and are exact symbolic objects. Open the command catalog again, @ followed by SYMB (CAT), and then press ENTER. This time, a result of 9.3326215..E157 is returned (see Figure 55). In other words, the full, exact precision was not used, but rather, a 12- digit decimal representation. Clear the stack by pressing @ followed by \ before moving on. For more information on CAS settings, see Chapter 1 of the HP 50g Graphing Calculator User’s Manual or Chapter 1 or Appendix C of the HP 50g Graphing Calculator User’s Guide. Figure 53 Figure 54 Figure 55 Getting Started Getting Started 21 21 Factoring and Solving 64. Another nice feature about RPN in Exact mode is you can build equations on the stack as you work. Press x (x key) #2 Q 9 - (see Figure 56). Notice as you type the equation is built step-by-step in the display. 65. Press ENTER to duplicate the equation before we begin experimenting. 66. Press @ followed by 4 (ALG) and then press the FACTO menu key. This factors the equation (see Figure 57). Press the EXPAN menu key to expand the equation back out. Now press DOWN cursor and the EquationWriter opens and is ready to edit your expression. Press DOWN cursor RIGHT cursor followed by return to the stack. Figure 56 67. W. The equation now reads Figure 57 2 x + 9 (see Figure 58). Press ENTER to Figure 58 Press the FACTO menu key again. This time, nothing happens to the equation. This is because without using complex numbers, the equation can't be factored. Like the shortcut for the Exact/Approximate mode toggle, there is a Real/Complex toggle. Press and hold ! and then press and hold TOOL (i) so both keys are pressed simultaneously. Release TOOl, then !. In the header, note how the R= changes to C=, indicating that complex numbers are now being used (see Figure 59). Press the FACTO menu key again. This time, the equation is factored out with the result, ( x + 3i ) ( x – 3i ) (see Figure 60). Press \ to remove the equation. 2 x – 9 should still be on the stack. 22 Getting Started 22 Getting Started Figure 59 Figure 60 Figure 61 68. As you work with the CAS, it will automatically prompt you to change settings as needed. Sometimes a setting is active that can cause problems with later calculations. To return the CAS to its default state, press @ followed by SYMB (CAT) ] F3(C) DOWN cursor. With CASCFG selected (see Figure 61), press ENTER. This command resets the CAS to its default settings. Note how the header annunciator has changed from complex, C=, back to real, R=. 69. 2 Now, let's solve for X. To begin, press ENTER to make a copy of your x – 9 . Press ³ followed by x (x key) and press ENTER. Using 'X' instead of just X ensures that it remains a variable, and the calculator will not find and recall a number stored into X (see Figure 62). Press L to locate the SOLVE menu key and press it. The result, { X= -3 X= 3 }, is returned (see Figure 63). Press \ to delete the result. For more information, see Chapter 5 of the HP 50g Graphing Calculator User’s Manual or Chapter 5 of the HP 50g Graphing Calculator User’s Guide. Figure 62 Figure 63 Getting Started Getting Started 23 23 Simplification and Integration 70. Another characteristic of the 50g CAS is that it does not perform automatic simplification. It includes many commands that allow you to rewrite expressions in other equivalent representations. For example, you can rewrite TAN(X) into SIN(X)/COS(X) using the command TAN2SC (tangent to sin cosine). This allows you great flexibility in changing equations from one format into another. 71. 72. 2 Let’s use x – 9 from the previous example. Press ! followed by 4 (CALC). Notice the commands, DERVX and INTVX on the menu (see Figure 64). The VX in the command name means that it will use your current default variable as the input. Up on the header, note the 'X'. This means X is the current default variable. Press the INTVX menu key four times. Watch as the symbolic integration proceeds. No simplification occurs as the command is run (see Figure 65). Now press @ followed by 4 (ALG) to rewrite this expression. Press the EXPAN menu key expand all parts of the expression. The result is a single expression. Now press the COLLE menu key to collect like-terms together. Press the FACTO menu key and note how the factors are expanded out even further. Finally, press the PARTF menu key to split the expression into separate terms (see Figure 66). For more information, see Chapter 11 of the HP 50g Graphing Calculator User’s Manual or Chapters 13 and 14 of the HP 50g Graphing Calculator User’s Guide. Figure 64 Figure 65 Figure 66 CAS Troubleshooting The 50g CAS has an incredible selection of tools that allows you to solve and manipulate symbolic vectors, matrices, and polynomials. Again, as previously mentioned, this wide variety of tools and setting options means that sometimes results are returned in a form other than expected. For example, solving an integral may get a strange result, because the calculator is set in cylindrical coordinate mode, 24 Getting Started 24 Getting Started and the answer is returned in cylindrical form. There are four main problems new users often encounter while using the CAS: • First, the CAS settings have been changed to something incorrect. Use the command CASCFG to reset the CAS settings back to the defaults. • Second, a variable is being found and used. Remember earlier when we saw how 'C' and C could behave differently? In a CAS calculation, variables can be replaced by numerical values if they are found in memory. • Third, Approximate versus Exact mode. X^2. And X^2 are different because of the period after the number (2.) versus (2). If there are real numbers in an equation during a CAS command, the results generally will not be returned as expected. • Fourth, the result is returned in a non-simplified, or a different form than expected. To solve this, the 50g allows the user to rewrite the equations using many different tools. This allows you to explore mathematical relationships between various functions and lets you decide on the desired form of the answer. For more information on the CAS, refer to Chapter 4 of the HP 50g/49g+/48gII Advanced User's Reference, or Appendix C and Chapter 1 (Selecting CAS Settings) of the HP 50g Graphing Calculator User’s Guide. Troubleshooting and FAQs The previous exercises and discussion were intended to familiarize you with some of the many functions available on the 50g. If you have additional questions, or if you require more in-depth information, there are a wide range of resources available at www.hp.com/calculators. More information may be found on the CD that came with your calculator, the HP manuals cited throughout the previous text, and learning tutorials available on the HP website, which will guide you through topics ranging from basic operation to advanced programming techniques. In addition to these resources available on the HP Calculator website, www.hp.com/calculators, there is an HP-sponsored discussion group accessible on the HP Calculators page where you can ask questions, get answers, and share information with other users in an HPsponsored Calculator Community. For more information, visit: www.hp.com/calculators. On the HP Calculators page, click on the Calculator support forum link under Calculator Community. Getting Started Getting Started 25 25 Table 1-1 Troubleshooting and FAQs Common Problem/Question Solution Why is my function returning a wrong answer? There may be an error in the function, but if everything appears correct, there is probably a number stored in one of your variables. This variable may be in your current directory or in a higher directory on your calculator. For example, if X^2 is evaluated while 0 is stored in variable X in a higher directory, the function becomes 0^2 and returns an unexpected result. To fix the problem, delete the variable. Refer to the section titled, Memory Management above. Why is there a dot after my In approximate mode, whole numbers have a decimal to distinguish them from exact integers. Refer to the number? previous sections titled, Basic Math and Using the Computer Algebra System (CAS) - Approximate versus Exact. Why are my symbolic solutions different than I expect? Please see the section titled, CAS Troubleshooting in this guide. Also, iff DERVX,INTVX, or How do I integrate functions? Use the integration symbol for numeric integration and the command INTVX for symbolic integration. Why does the solver only give me one answer to my polynomial? The numeric solver uses an initial guess and finds the nearest solution. On polynomials and periodic functions like sine or cosine, changing the initial guess returns a different solution. Refer to the section titled, Using Equation Solvers in this guide for more information. SOLVEVX are not working properly, check that the independent variable name (MODE CAS) is X. There is a difference between X and x. The calculator is case sensitive. Why do I see choose boxes The calculator offers both choose boxes and soft key menus. We recommend soft key menus. To turn these instead of soft menus? on press MODE, press the FLAGS menu key and set flag117 to use Soft menus. What is the symbol above my screen that won't go away? 26 Getting Started 26 Getting Started This is usually the low battery warning message, but it also can be one of five other status annunciators. When the low battery annunciator appears, please change your AAA batteries. Refer to the sections titled, The Keyboard, Menus, and Annunciators, and Replacing the Batteries (below). Table 1-1 Troubleshooting and FAQs Common Problem/Question Solution How do I transfer files from You can use a USB cable and the accompanying connectivity kit, however, you will probably find that using an SD card is the quickest and easiest way to transfer files. Everything you can do with the my computer to my connectivity kit you can also do with an SD card. For more information, see Chapter 26 of the HP 50g calculator? Graphing Calculator User's Guide. Why isn't my SD card working? The calculator will accept any SD card smaller than 2GB. Anything larger is an SDHC card and will not function. FAT is the best format to use on your card, because FAT32 causes a two second delay each time you turn on your calculator. The filer may not display the full capacity on your SD card if it is larger than 1GB, but you can still use the full space available even if it is not displayed. Why can't I transfer folders Your calculator's method of handling folders differs from the way your computer handles folders. You between my calculator and cannot copy folders from the computer directly into your calculator, or folders in your calculator directly into your computer. Instead, transfer individual files. my computer? Why can't I delete folders on my SD card using my calculator? The calculator can access and save files in any location on the SD card, but it does not copy files between folders or delete folders on the SD card. Use your computer to manage files on your SD card. How do I install software? There are two main program types - libraries and programs. A program is usually a single object that performs a single function. These are placed in your HOME directory and run using a menu key. A library is a collection of many programs that integrates into your computer like a native function. Using the filer, place libraries in port 0, 1, or 2. Port 2 is usually the best option. Refer to the section titled, Advanced Memory Management above. Once installed, reboot the calculator by pressing and holding ON and simultaneously pressing the F3 key. Release the F3 key, followed by ON. To access library functions, press @ 2(LIB). All functions in a library will also appear in the command catalog accessed by pressing @ SYMB (CAT). Please see the program documentation for more information. Getting Started Getting Started 27 27 Table 1-1 Troubleshooting and FAQs Common Problem/Question Solution Which programs can I install on my calculator? Please see the program documentation for more information. If the program is written for the 49G, 48GII 49G+ or 50G, it will probably run on your calculator. Although some 48g programs will run, the majority will not. Where can I find a list of every command in the calculator? The HP 50g/49g+/48gII Advanced User's Reference, available at www.hp.com/calculators, contains an extensive list of every command and other usage information. In addition, it contains advanced programming techniques, lists of possible error messages, usage information for the HP equation library, and other topics. You may also look on the accompanying CD for more learning modules and information. Where can I get help with other problems with my calculator? The quickest way is usually to visit our support forum. Visit: www.hp.com/calculators and click on the Calculator support forum link under Calculator Community. Basic Features, Customizing the Calculator, and Setting the Internal Clock The following section provides you with additional information about the basic features of the calculator. Many of the concepts of this section were introduced in the sections above while working through the example problems and are explained in more detail here. This is provided as an overview, and the pages of the HP 50g Graphing Calculator User’s Guide and the HP 50g Graphing Calculator User’s Guide are included for reference. You are encouraged to consult these pages of the user’s guide for more information and detailed descriptions. For useful key shortcuts for some of the tasks listed below, also refer to Appendix G of the HP 50g Graphing Calculator User’s Guide. 28 Getting Started 28 Getting Started Table 1-2 Basic Features, Customizing the Calculator, and Setting the Internal Clock Functions Turn calculator on/off Display/Description To turn calculator on, press ON. Note ON is printed on the key. The calculator turns off automatically 10 minutes after it was last used. To turn off, press @ ON. Note OFF is printed above the key to the right. For more information, see Chapter 1 of the HP 50g Graphing Calculator User’s Manual or the HP 50g Graphing Calculator User’s Guide. Display contrast To change the display contrast, press and hold ON followed by + or -. Each press of + increases the contrast slightly; each press of - decreases the contrast slightly. For more information, see Chapter 1 of the HP 50g Graphing Calculator User’s Manual or the HP 50g Graphing Calculator User’s Guide. Cancel or escape Press the ON key (CANCL) when the calculator is powered up. Press @ followed by the by the backspace key \ (CLEAR) to clear the history (stack). Return to the HOME screen To return to the {HOME} screen from within another menu, press the I key. For more information, see Chapter 1 of Deleting an entry Use the backspace key to edit your entries. Each press of the backspace key deletes characters to the left of the cursor, the HP 50g Graphing Calculator User’s Manual or the HP 50g Graphing Calculator User’s Guide. one character at a time. Press ! followed by \ (DELETE) to delete highlighted entries on the entry line, or in the EquationWriter. Within a highlighted area, the ! DEL key command deletes the latest entry, much like the back- space key. For more information, see Chapter 2 of the HP 50g Graphing Calculator User’s Manual or Chapter 2 of the HP 50g Graphing Calculator User’s Guide. Clearing the history or the stack Press @ followed \ (CLEAR) to clear the history, or the stack, if in RPN mode. When used with the cursor keys to highlight portions of expressions or equations, it also deletes highlighted entries in the EquationWriter. For more information, see Chapter 2 of the HP 50g Graphing Calculator User’s Manual or the HP 50g Graphing Calculator User’s Guide. Getting Started Getting Started 29 29 Table 1-2 Basic Features, Customizing the Calculator, and Setting the Internal Clock Functions Entering letters with the ] key Display/Description You can store and retrieve numerical data in the variables A through Z. But first, you have to know how to enter letters of the alphabet. These letters appear near the bottom right corner of most of the keys on the keyboard, and are ] shift key first. When pressed, the Alpha annunciator appears in the display. For example, press ] followed by the F1 key to enter the letter A. You do not need to hold down the ] shift key - just press and release it. You may also enter upper case or lower case letters. For lower case letters, press ] one time, followed ! then the desired letter. For upper case, press the ] key two times followed by the desired letter. For accessed by pressing the more information, see Chapter 2 of the HP 50g Graphing Calculator User’s Manual or the HP 50g Graphing Calculator User’s Guide. Selecting Soft menu keys or CHOOSE boxes (Calculator Modes menu) 5. 6. To select Soft menu keys (keys below the display) or Choose boxes, press H to open the Calculator Modes input form. The default setting is Choose boxes. When Choose boxes are active, the CHOOS menu key appears as a label within a menu. Press the CHOOS menu key to see the options within the fields in a menu. To change the format in which menus are displayed, press the FLAGS menu key. System Flags is displayed at the top of the screen. Note: a flag is a Boolean value, that can be set or cleared (true or false), that specifies a given setting of the calculator or an option in a program. Flags in the calculator are identified by numbers. A flag is set if you see a check mark in front of the flag number. Use the UP cursor key to highlight number 117. Press CHK to toggle between CHOOSE boxes and Soft menu. Soft menu refers to using the function keys (F1-F6) to see available options in a menu. With Soft MENU displayed, press OK twice to return to the normal calculator display. To see an example of the available labels of a menu using only soft keys (the six keys below the display), press 7. @3. Press L to see all available functions of the Base menu. Press H to return to the Calculator Modes menu and continue viewing/changing the settings. For more 1. 2. 3. 4. information, see Chapter 1 of the HP 50g Graphing Calculator User’s Manual or Chapter 2 of the HP 50g Graphing Calculator User’s Guide. 30 Getting Started 30 Getting Started Table 1-2 Basic Features, Customizing the Calculator, and Setting the Internal Clock Functions Display/Description Customize the 1. number display, change mode settings, open 2. the CAS Modes 3. input form. 4. 5. 6. Resetting the Calculator Use the Modes input form to set the modes and customize the number display for the Home view. Press the H key to open the Calculator Modes input page. Press L to see the second page of the menu. Use the cursor keys to move around the page. With a field highlighted, press W to view the available options. The displayed setting is the active setting. Use the CHK menu key to select/deselect items with a check mark. Checked items are active. Press L until the CAS menu key appears. Press it to access the CAS MODE input page. Press the OK menu key or ENTER to save settings and return to the Calculator Modes page. Press the OK menu key once again to return to the {HOME} view. For more information, see Chapter 1 of the HP 50g Graphing Calculator User’s Manual or the HP 50g Graphing Calculator User’s Guide. If the calculator locks up and seems to be stuck, you can reset it using a keyboard reset. Resetting cancels certain operations, restores certain conditions, and clears the temporary memory locations. It does not erase stored data, such as variables and programs. To reset: 1. Press and hold the ON key and the third menu key from the left, F3, simultaneously for a second or two, then release the F3 key first, followed by the ON key. If you are using an emulator, right-click the ON key to hold the shift command and left-click the F3 key. Release the F3 key first by left-clicking, followed by the ON key. To erase all memory and reset defaults. NOTE: this action erases everything you have stored and returns the calculator to its default settings: 1. Press and hold the ON key, the first menu key (F1), and the last menu key (F6) simultaneously for a second or two, then release them one at a time, starting with the F6 key. If using the emulator, perform right-clicks on all the keys to hold them simultaneously. Right-click to release them. 2. If the calculator still does not turn on, try inserting the end of a straightened paper clip into the small hole on the back of the calculator. Press gently for one second, then release. Press the ON key. Getting Started Getting Started 31 31 Table 1-2 Basic Features, Customizing the Calculator, and Setting the Internal Clock Functions Setting time and date Display/Description 1. To change the time and date, press @ followed by 9 (TIME). 2. Using the cursor keys, higlight Set time, date..., or press 3. Note: you may also set and browse alarms, and use Time tools from this menu. For a complete list of Time tools, see Chapter 25 of the HP 50g Graphing Calculator User’s Guide. 3. Press the OK menu key. 4. Using the keyboard, key in number(s) for the current hour followed by ENTER. 5. With the last field to the right highlighted, press the W to scroll through options for AM, PM, or 24-hour clock. The option displayed option will become the active setting. Press the DOWN cursor key to highlight date format. 6. With the field highlighted, press W to select either M/D/Y (month-day-year) or D.M.Y (day-month-year) formats. The displayed option will become the active setting. 7. Using the cursor keys, highlight the fields for day, month, and year. 8. Key in the numbers, followed by ENTER. 9. Once you have set the date and time fields, press the OK menu key or ENTER to exit the menu and save your settings, or CANCL to cancel. For more information, see Chapter 1 of the HP 50g Graphing Calculator User’s Manual or the HP 50g Graphing Calculator User’s Guide. 32 Getting Started 32 Getting Started Additional Information, Features, and References At this point, if you have read through this guide and worked through the examples provided, you may have more questions about the many features and tools of the 50g, or you may have questions about a topic not covered in the exercise. The following section includes a basic overview of some of the 50g’s other features, references, and descriptions of training aids. The information below, as with the previous sections of the Quick Start Guide, is intended to provide you with a basic overview of the topics. For more detailed information, the chapters of the HP 50g Graphing Calculator User’s Manual, the HP 50g Graphing Calculator User’s Guide, and in some cases, the HP 50g/49g+/48gII Advanced User's Reference are provided. It is highly recommended you refer to those documents for more detailed information and examples. Product CD: Manuals, and Learning Modules Over 2,500 pages of published reference material is available to you if you require additional information about any of the features and tools on the 50g. The HP 50g Graphing Calculator User’s Guide, in Portable Document Format (PDF), can be found on the CD included in the package along with your calculator. It is thus highly recommended you read through this manual, as this manual explains in detail how to access the many tools and features, and it also includes example problems. The HP 50g/49g+/48gII Advanced User's Reference is a detailed reference which lists every command in the calculator, and it also includes keystrokes and examples. If you require tutorials for each feature, refer to the Learning Modules on the product CD. Learning Modules are single-topic files which walk you through a given task, step-by-step, and provide you with examples for practicing the concepts addressed in the text. There are over fifty Learning Modules available to you covering a range of topics. As you read through or review sections of this manual, refer to the Learning Module topics below if you’d like to review and practice concepts with example problems. Topics covered include: Learning Module Topics Calculator Functionality Finance and Date Problems Probability, Statistics and Plotting Mathematics and Advanced Mathematics The USER Keyboard Amortization Schedules Probability Distributions Working with Fractions RPN and Algebraic Modes Loan Down Payments Probability-Rearranging Items Finding Limits Calculator Modes and Customizing Remaining Loan Balance Linear Regression Solving for Zeros of a Function Getting Started Getting Started 33 33 Learning Module Topics Calculator Functionality Finance and Date Problems Probability, Statistics and Plotting Mathematics and Advanced Mathematics Setting an Alarm Average Sales Prices Trend Lines Symbolic Differentiation Changing the Date and Time House Amortization Schedules Calculations Involving Plots Training and Introduction House Payment Qualification Hypothesis Tests Symbolic Integration of Trig Functions Using the EquationWriter House Payment Using an SD Card Property Appreciation The Basics of Plotting Functions Symbolic Integration of Polynomials Curve Fitting Using the EquationWriter Part 2 Cost Estimation Working with Fast 3-D Plots Numeric Integration Using the Numeric Solver Date Calculations Working with Polar Plots Numeric Differentiation Working with Units Return on Investment Working with Parametric Plots Using Taylor Series Using Matrices Lease Payment Confidence Intervals Working with Matrices Bond Price Numbers Sinking Fund Base Conversions and Arithmetic Bond Yield Operations on Binary Solving for Roots of Polynomials and Quadratics Solving Differential Equations Complex Numbers Hyperbolic Functions Solving Linear Systems 34 Getting Started 34 Getting Started Additional Character Sets In addition to upper and lower case letters of the alphabet, there are additional character sets, such as Greek letters used in mathematical formulas and international characters. To access these characters, press @ followed by EVAL (CHARS). Navigate through the characters using the UP, DOWN, LEFT, and RIGHT silver cursor keys. With the desired character highlighted, press the ECHO1 menu key to copy a single character to the entry line, the EquationWriter, or the stack, or or for more than one character or strings of characters, use the ECHO menu key. Press CANCL to exit the CHARS menu. You can also use shortcut keystrokes to insert characters from the CHARS menu into other places in the calculator. Once you are familiar with them, these shortcuts permit you to insert additional characters while working on the the entry line, in the EquationWriter, or with the stack without having to enter the CHARS menu. The symbols for the shortcuts appear along the bottom of the display in the left corner of the CHARS menu. For example, in Figure 67, the symbol for Theta is highlighted in the menu. To the lower left, the α symbol represents ] key, the right arrow the @ key, and T, the COS key. These symbols indicate you can return Theta to your work area by pressing ], followed by @, and then COS. In Figure 68, Omega is highlighted. Note the shortcut keys are α , @, &,O. The & symbol indicates the key sequence requires you to press ] and then press and hold @ while simultaneously pressing ³ the (O). Suppose you have to type the expression: λ + 2 Ω + 5. One way is to insert the Greek letters in the expression using the EquationWriter. @³ to open the EquationWriter. Press ]@ EVAL, followed by +. Press 2, followed by ], and press and hold @ while simultaneously pressing ³. Finish the expression by pressing +5 (Figure 69). To place the expression on the stack, highlight the expression by pressing the UP cursor key twice, and use the copy function by pressing @ followed by VAR. Press CANCL to exit the EquationWriter, then press the paste command (@ followed by NXT) followed by ENTER. Press Getting Started Getting Started 35 35 Figure 67 Figure 68 Figure 69 Table 1-3 A Few Commonly Used Characters and Keystrokes Greek Letters Keystrokes Alpha α Delta δ Epsilon ε Theta θ Lambda λ Rho ρ Sigma σ Tau τ 36 Getting Started 36 Getting Started ] ] ] ] ] @ @ @ @ @ Other Commonly Used Characters F1 (A) F4 (D) F5 (E) COS (T) EVAL (N) ] @ F6 (F) ] @ SIN (S) ] @ TAN (U) Keystrokes Tilde ~ Factorial ! Question Mark ? Backward Slash \ Angle Symbol At @ Degree ° ] ] ] ] ] @ @ @ @ @ 1 2 3 5 6 ] @ ENTER ] @(hold) 6 For more information on additional character sets, refer to Appendix D of the HP 50g Graphing Calculator User’s Guide. ROM Updates and Forums For software updates, and to talk with other calculator users in the on-line discussion forums, check the HP calculator website for information on ROM updates. For the discussion forums, click on the Calculator support forum, and click the link under Calculator Community. Built-in Libraries Equation Library and Constants The Equation Library is a collection of equations and commands that enables you to solve both simple and advanced science and engineering problems. The library is accessed through the APPS menu. The Equation Library consists of more than 300 equations grouped into 15 technical subjects containing more than 100 problem titles. Each problem title contains one or more equations that help you solve the type of problem referenced in the title. The Constants Library is a collection of constants you can insert into equations to help you solve science and engineering problems. Although the Constants Library is its own library, it also appears as a sub-menu of the Equation Library. To enter the Equation Library, press APPS. Use the UP cursor key to highlight Equation Library, followed by the OK menu key. Press the EQLIB menu key, followed by the EQNLI menu key. When you select a subject and title in the Equation Library, you specify a set of one or more equations. Once an equation is specified, press ENTER. For equations specified, you can: • View the equations themselves and the number of equations. • View the variables used and their units by pressing the VARS menu key. Press L to display additional variables. You can also change the units. • View a picture of the physical system for most equation sets by pressing the PIC menu key. • Place the equation on the stack using the >STK menu key. • View the next equation with the NXEQ menu key. • Exit and return to the Equation Library. With an equation highlighted, press the SOLV menu key to start the Solver. For each known variable, type in its value followed by the corresponding menu key. If a variable is not shown, press L to display additional variables. Press ! followed by the menu key of the Getting Started Getting Started 37 37 variable you want solved. If you want to solve all the equations in the selected title, press ! followed by the ALL menu key. The Solver then calculates values for all the variables not previously defined by you. You can use the SOLVER to solve a single equation, or the Multiple-Equation Solver (MES) to solve equation sets with more than one equation. For more information about the Equation Library, how to use the many features of the library’s menu, and browsing, refer to Chapter 27 of the HP 50g Graphing Calculator User’s Guide, Chapter 19 of the HP 50g Graphing Calculator User’s Manual, or Chapter 5 of the HP 50g/49g+/48gII Advanced User's Reference. Financial Problems To solve financial problems, you can use the Time Value of Money (TVM) input form located in both the Financial menu and the Numerical Solver. This input form enables you to solve problems involving loans, loan payments, and amortization schedules. To access the Financial menu, press ! followed by 9 (Finance). To access the form within the Numerical Solver, press @ followed by 7. Use either the DOWN cursor key, or press 5 to highlight the Solve Finance.. option and press the OK menu key. The form in either location permits you to input values for the following financial variables: Table 1-4 Time Value of Money Input Form Variables Variable n PV PMT FV Description Stores or calculates the number of payments or compounding periods. Stores or calculates the present value (the initial cash flow) of a financial problem. Stores or calculates the payment amount. Stores or calculates the future value (final cash flow) of a financial problem. I%YR Stores or calculates the nominal annual interest rate as a percentage. P/YR Stores or calculates the number of payments or compounding periods per year. BEG/END Sets Begin (Beg) or End (End) modes for payments occurring at the beginning of each compounding period or at the end of each of compounding period. To change the setting, press 38 Getting Started 38 Getting Started W. With a field highlighted, enter all known data using the keyboard and press ENTER or the OK menu key. Highlight the unknown variable and press the SOLVE menu key. Values remain stored in the variables until you change them or reset the calculator. To create an amortization schedule based on the values you input into the TVM input form, press the AMOR menu key. Enter the number of payments (12 is the default) you wish to amortize and press the AMOR key once again. Press the B>PV menu key to forward the remaining balance calculated during the amortization to the PV field in the TVM input form. For more information about Time Value of Money problems, financial concepts, and example problems, refer to the 50g Learning Modules on the product CD, or www.hp.com/calculators. Once on the website, refer to the support information for the financial calculators products. StreamSmart The StreamSmart application was designed to facilitate and simplify the collection of real-world data from scientific sensors. It works with the HP StreamSmart 400 data streamer and any of the scientific sensors available from Fourier Systems™. The StreamSmart Aplet located in the APPS menu recognizes the sensor(s) automatically and sets up data streaming at rates over 5,000 samples per second, displaying the incoming data as a stream in real time. Note: you must have the sensors connected to the calculator in order to use this application. See the HP StreamSmart 400 User Guide or www.hp.com/calculators for complete details. Statistics The calculator provides pre-programmed statistical features. To access these features, press ! followed by 5 (STAT). The statistical applications available in the calculator include: • Single-variable • Frequencies • Fit data • Summary statistics • Hypothesis tests • Confidence intervals For the analysis of a single set of data (a sample), use the single-variable, frequencies, and summary statistics options from the list above. All of these applications require that the data be available as columns of the matrix Σ DAT. This can be accomplished by entering the Getting Started Getting Started 39 39 data in columns using the matrix writer. Press ! followed by ³ to open the matrix writer, or with the Σ DAT field highlighted in the input forms for single-variable, frequencies, and summary statistics, press the EDIT menu key to open the matrix writer. Use the numbers on the keypad followed by ENTER to input your data, and use the cursor keys to navigate through the matrix. Press L to view all the menu items in the matrix writer. Press ENTER or CANCEL to return to the selected input form. The Type field determines whether you are working with a sample or a population; the default setting is Sample. To change this setting quickly, press Wwith the field highlighted. Select the desired item or items on the input form using the CHK menu key, and press the OK menu key to return results. Entering data using the operation described above may become tedious for a large number of data points, so you may want to enter the data as a list (see Chapter 8 of the HP 50g Graphing Calculator User’s Guide, or Chapter 7 of HP 50g Graphing Calculator User’s Manual) and convert the list into a column vector by using program CRMC (see Chapter 10 of the HP 50g Graphing Calculator User’s Guide, or Chapter 8 of the HP 50g Graphing Calculator User’s Manual under the section titled, Using the Matrix Writer (MTRW) to enter vectors). Alternatively, you can also enter a program to convert a list into a column vector, and write a program to activate the Statistics menu directly. For more information and the actual keystrokes for this program, and for detailed information about how to use each of the pre-programmed statistical features listed above, along with examples, refer to Chapter 18 of the HP 50g Graphing Calculator User’s Guide, Chapter 16 of the HP 50g Graphing Calculator User’s Manual, or the learning modules listed above. Probability Probability functions are located in the the Math menu. Press ! followed by SYMB to access Math menu. With the CHOOSE box displayed, press number 7, Probability, followed by the OK menu key. The soft menu labels are included in parentheses below, but with system flag 117 set to CHOOSE boxes, the functions available in the Math and Probability menus appearing in the CHOOSE boxes are included in the tables on the following pages: 40 Getting Started 40 Getting Started Table 1-5 Probability Options Math Menu Option Probability (PROB) Sub-Menu Options Probability Function Description Probability (option 7) Combinations (COMB) Combinations of n items taken r at a time. Permutations (PERM) Permutations of n items taken r at a time. Factorial (!) Factorial of a positive integer. See Chapter 3 of HP 50g Graphing Calculator User’s Guide for more information on non- integers. The factorial symbol (!) can be entered also by pressing ] @ 2. Random (RAND) Random number generator (returns a uniformly distributed, random real number between 0 and 1). RDZ Function used to generate a sequence on a number using a seed and subsequently repeating the same sequence. UTPC Chi-square distribution. UTPF F-distribution. UTPN Normal distribution cdf. UTPT Student’s t distribution. NDIST Normal distribution pdf. Math Return to Math Menu. Getting Started Getting Started 41 41 Other Math Menu Options Vector (VECTR) Matrix (MATRX) List Hyperbolic (HYP) Real Base Probability (see above) FFT (Fast Fourier Transform) Complex (CMPLX) Constants (CONST) Special Functions (SPECI) which includes: GAMMA: The Gamma function Γα ) PSI: N-th derivative of the digamma function Psi: Digamma function, derivative of the ln(Gamma) For more detail on the Probability functions, refer to Chapter 17 of the HP 50g Graphing Calculator User’s Guide, or Chapter 15 of the HP 50g Graphing Calculator User’s Manual. For more information on the Math Menu, see Chapter 3 of the HP 50g Graphing Calculator User’s Guide, or Chapter 3 of the HP 50g Graphing Calculator User’s Manual under the section titled, Real number functions in the MTH menu. 42 Getting Started 42 Getting Started The Math Menu in RPN and Algebraic Modes More about Arguments and Operators Functions like ABS, SQ, LOG, ALOG, LN, EXP, SIN, COS, TAN, ASIN, ACOS, ATAN require a single argument. Thus, the keystrokes in Algebraic mode, for example, are straight forward: to calculate sine, press SIN followed by the number, (x), followed by ENTER. In RPN, key in the number (x), then press SIN. Operators, on the other hand, are placed after a single argument or between two arguments. The factorial operator (!), for example, is 5]@2ENTER. Since this operator requires a single argument, it is referred to as a unary operator. Operators that require two arguments, such as + - * / Q, are binary operators. In Algebraic mode, 3*5, or 4Q2 are examples of binary operators. placed after a number, for instance, In general, to apply any of the functions in the Math menu or on the keyboard, you need to be aware of the number and order of the arguments and operators required, as well as the settings in the MODE menu. Keep in mind that in Algebraic mode, you select the function first and then enter the argument. To separate arguments for binary operators in Algebraic mode, use the comma (@ followed by #). In RPN mode, enter the argument in the stack first, and then select the function. Separate two arguments by ENTER. Some functions, like XROOT, for example, require two arguments, XROOT(x,y). This function requires the keystroke sequence, @ followed by R, and is performed in RPN by pressing 27 followed by ENTER, then 3, followed by @R(XROOT). In Algebraic mode, press @R, followed by 3, then @ followed by #. Then press 27 followed by ENTER. As previously mentioned, when using functions and keying in data, be mindful of the angular mode, the real versus complex setting, and the approximate versus exact setting in the MODE menu. Getting Started Getting Started 43 43 Trigonometric and Inverse Trigonometric Functions Trigonometric and inverse trigonometric functions are available on the keyboard. With the Angle Measure field in the MODE menu set for DEGREES, for example, in RPN mode, key in the number, followed by the desired trigonometric key. For Algebraic mode, press the desired trigonometric function, then key in the number, then press ENTER. For inverse trigonometric functions in RPN, key in the number (including a decimal point) followed by ENTER, followed by ! and then the desired keys for ASIN, ACOS, or ATAN. For Algebraic mode, press ! followed by the key of the desired trigonometric function. Key in the number, then press ENTER. Hyperbolic and Inverse Hyperbolic Trigonometric Functions These functions are located in the Math menu. For Hyperbolic functions and their inverse functions, in RPN, key in a number, followed by ENTER. Open the Math Menu by pressing ! followed by SYMB. Select the HYPERBOLIC option from the Math menu and press the OK menu key. Select the desired hyperbolic function from the menu and press the OK menu key. In Algebraic mode, open the Math Menu, ! followed by SYMB. Select the HYPERBOLIC option from the Math menu and press the OK menu key. Key in the number, followed by ENTER. For more information on the Math Menu, see Chapter 3 of the HP 50g Graphing Calculator User’s Guide, or Chapter 3 of the HP 50g Graphing Calculator User’s Manual under the section titled, Real number functions in the MTH menu. Percentage functions Percentage functions are located in the Math menu. Open the Math Menu by pressing ! followed by SYMB. Highlight the REAL option, and press the OK menu key. The functions used to calculate percentages include: • % (y,x): calculates the x percentage of y. • %CH (y,x): calculates 100(y-x)/x, i.e., the percentage change, the difference between two numbers. • %T (y,x): calculates 100 x/y, i.e., the percentage total, the portion that one number (x) is of another (y). 44 Getting Started 44 Getting Started Press CANCL to exit out of the menu. To calculate %T (15, 45), in Algebraic mode, press ! followed by SYMB to open the Math Menu. Select number 5, REAL.., followed by the OK menu key, or the REAL menu key, if you have soft menus. Select number 3, %T, or the %T menu key if you have soft menus. Press 15 to input first argument, then press @ followed by # to enter a comma to separate the arguments. Press 45 to enter the second argument, followed by ENTER to return results, in this case, 300. In RPN, press 15, followed by ENTER, then 45. Then press ! followed by SYMB to open the Math Menu, and select REAL.. followed by the OK menu key, or the REAL menu key, if you have soft menus. Select number 3, %T, followed by the OK menu key, or the %T menu key if you have soft menus, to return results. Along with the percentage functions, the Real sub-menu includes the following functions: Table 1-6 Sub-menu Options in the Math Menu Math Menu Option Additional Real Sub-Menu Options Function Description Real (option 5) Min (x,y) Determine the minimum of two arguments. Max (x,y) Determine the maximum of two arguments. Mod y mod x = residual of y/x, i.e., if x and y are integer numbers, y/x = d+ r/x, where d = quotient, r = residual. In this case, r = y mod x. Note: MOD is not a function, but rather an operator. ABS (x) Calculates the absolute value, |x| Sign (x) Determines the sign of x, i.e., -1, 0, or 1. MANT (x) Determines the mantissa of a number based on log10. Getting Started Getting Started 45 45 Table 1-6 Sub-menu Options in the Math Menu Math Menu Option Additional Real Sub-Menu Options Function Description XPON (x) Determines the power of 10 in the number. IP (x) Determines the integer part of a real number. FP (x) Determines the fractional part of a real number. RND (x,y) Rounds up y to x decimal places. TRNC (x,y) Truncates y to x decimal places. FLOOR (x) Closest integer that is less than or equal to x. CEIL (x) Closest integer that is greater than or equal to x. D>R (x) Converts degrees to radians. R>D (x) Converts Radians to degrees. MATH.. Return to Math Menu. For more information on arguments, operators and percentages, see Chapter 3 of the HP 50g Graphing Calculator User’s Guide, and Chapter 3 of the HP 50g Graphing Calculator User’s Manual under the section titled, Percentage Functions, under the section, Real number functions in the MTH menu. 46 Getting Started 46 Getting Started Replacing the Batteries The HP 50g calculator takes 4 AAA (LR03) batteries as a main power source and one CR2032 lithium battery for memory backup. If the low battery symbol appears on the display of the HP 50g calculator, replace the batteries as soon as possible. However, to avoid loss of data, remove the backup battery and main batteries at the same time. Have the new batteries readily at hand before opening the battery compartment. Once the batteries are removed, replace them within two minutes to avoid losing stored information. To install the main batteries: 1. Turn off the calculator. 2. Slide up the battery compartment cover. 3. Remove the old batteries. 4. Insert 4 new AAA (LR03) batteries into the main compartment. 5. Make sure each battery is inserted in the indicated direction. Follow these steps to install the new backup battery: 1. Turn off the calculator. 2. Remove the back cover of the battery compartment. The lithium battery is located underneath the small square cover located above the AAA batteries. 3. Carefully remove the cover by sliding the tabs forward to align with the slots and gently lift the cover off. 4. Remove the old battery. 5. Insert a new CR2032 lithium battery with its positive polarity facing up. 6. Replace the back cover of the backup battery. 7. Replace the cover to the battery compartment. 8. Press ON to turn on the calculator. Warranty and Contact Information Warning! There is danger of explosion if the battery is incorrectly replaced. Replace only with the same or equivalent type recommended by the manufacturer. Dispose of used batteries according to the manufacturer's instructions. Do not mutilate, puncture, or dispose of batteries in fire. The batteries can burst or explode, releasing hazardous chemicals. HP Limited Hardware Warranty and Customer Care This HP Limited Warranty gives you, the end-user customer, express limited warranty rights from HP, the manufacturer. Please refer to HP's web site for an extensive description of your limited warranty entitlements. In addition, you may also have other legal rights under applicable local law or special written agreement with HP. Limited Hardware Warranty Period Duration: 12 months total (may vary by region, please visit www.hp.com/support for latest information). Getting Started Getting Started 47 47 General Terms EXCEPT FOR THE WARRANTIES SPECIFICALLY PROVIDED FOR IN SUBSEQUENT PARARGRAPHS OF THIS SECTION, HP MAKES NO OTHER EXPRESS WARRANTY OR CONDITION WHETHER WRITTEN OR ORAL. TO THE EXTENT ALLOWED BY LOCAL LAW, ANY IMPLIED WARRANTY OR CONDITION OF MERCHANTABILITY, SATISFACTORY QUALITY, OR FITNESS FOR A PARTICULAR PURPOSE IS LIMITED TO THE DURATION OF THE EXPRESS WARRANTY SET FORTH IN THE SUBSEQUENT PARAGRAPHS OF THIS SECTION. Some countries, states or provinces do not allow limitations on the duration of an implied warranty, so the above limitation or exclusion might not apply to you. This warranty gives you specific legal rights and you might also have other rights that vary from country to country, state to state, or province to province. TO THE EXTENT ALLOWED BY LOCAL LAW, THE REMEDIES IN THIS WARRANTY STATEMENT ARE YOUR SOLE AND EXCLUSIVE REMEDIES. EXCEPT AS INDICATED ABOVE, IN NO EVENT WILL HP OR ITS SUPPLIERS BE LIABLE FOR LOSS OF DATA OR FOR DIRECT, SPECIAL, INCIDENTAL, CONSEQUENTIAL (INCLUDING LOST PROFIT OR DATA), OR OTHER DAMAGE, WHETHER BASED IN CONTRACT, TORT, OR OTHERWISE. Some countries, States or provinces do not allow the exclusion or limitation of incidental or consequential damages, so the above limitation or exclusion may not apply to you. FOR CONSUMER TRANSACTIONS IN AUSTRALIA AND NEW ZEALAND: THE WARRANTY TERMS CONTAINED IN THIS STATEMENT, EXCEPT TO THE EXTENT LAWFULLY PERMITTED, DO NOT EXCLUDE, RESTRICT OR MODIFY AND ARE IN ADDITION TO THE MANDATORY STATUTORY RIGHTS APPLICABLE TO THE SALE OF THIS PRODUCT TO YOU. Notwithstanding the above disclaimers, HP expressly warrants to you, the end-user customer, that HP hardware, accessories and supplies will be free from defects in materials and workmanship after the date of purchase, for the period specified above. If HP receives notice of such defects during the warranty period, HP will, at its option, either repair or replace products which prove to be defective. Replacement products may be either new or like-new. HP also expressly warrants to you that HP software will not fail to execute its programming instructions after the date of purchase, for the period specified above, due to defects in material and workmanship when properly installed and used. If HP receives notice of such defects during the warranty period, HP will replace software media which does not execute its programming instructions due to such defects. Exclusions HP does not warrant that the operation of HP products will be uninterrupted or error free. If HP is unable, within a reasonable time, to repair or replace any product to a condition as warranted, you will be entitled to a refund of the purchase price upon prompt return of the product with proof of purchase. HP products may contain remanufactured parts equivalent to new in performance or may have been subject to incidental use. Warranty does not apply to defects resulting from (a) improper or inadequate maintenance or calibration, (b) software, interfacing, parts or supplies not supplied by HP, (c) unauthorized modification or misuse, (d) operation outside of the published environmental specifications for the product, or (e) improper site preparation or maintenance. Customer Care In addition to the one year hardware warranty your HP calculator also comes with one year of technical support. If you need assistance, HP customer care can be reached by either email or telephone. Before calling please locate the call center nearest you from the list below. Have your proof of purchase and calculator serial number ready when you call. Telephone numbers are subject to change, and local and national telephone rates may apply. For more support information, please visit the web at: www.hp.com/support. 48 Getting Started 48 Getting Started Table 1-7 Customer Care Information Country Hotline Phone Country Hotline Phone Country Hotline Phone Country Hotline Phone Algeria www.hp.com/ support Anguila 1-800-711-2884 Antigua 1-800-711-2884 Argentina 0-800-555-5000 Aruba 800-8000 ; 800-7112884 Australia 1300-551-664 Austria 01 360 277 1203 Bahamas 1-800-711-2884 Barbados 1-800-711-2884 Belgium (English) 02 620 00 86 Belgium (French) 02 620 00 85 Bermuda 1-800-711-2884 Bolivia 800-100-193 Botswana www.hp.com/ support Brazil 0-800-709-7751 British Virgin Islands 1-800-711-2884 Bulgaria www.hp.com/ support Canada 800-HP-INVENT Cayman Island 1-800-711-2884 Chile 800-360-999 China 800-820-9669 Columbia 01-8000-51-47468368 (01-8000-51HP INVENT) Costa Rica 0-800-011-0524 Croatia www.hp.com/ support Curacao 001-800-872-2881 + 800-711-2884 Czech Republic 296 335 612 Denmark 82 33 28 44 Dominica 1-800-711-2884 Dominican Republic 1-800-711-2884 Egypt www.hp.com/ support El Salvador 800-6160 Equador 1-999-119 ; 800-7112884 (Andinatel) 1-800-225-528; 800711-2884 (Pacifitel) Estonia www.hp.com/ support French Guiana 0-800-990-011; 800711-2884 Deutschland 1-800-711-2884 Guadelupe Grenada Finland 09 8171 0281 France 01 4993 9006 French Antilles 0-800-990-011; 800711-2884 Germany 069 9530 7103 Ghana www.hp.com/ support Greece 210 969 6421 0-800-990-011; 800711-2884 Guatemala 1-800-999-5105 Guyana 159 ; 800-711-2884 Getting Started Getting Started 49 49 Table 1-7 Customer Care Information Country Hotline Phone Country Hotline Phone Country Hotline Phone Country Hotline Phone Haiti 183 ; 800-711-2884 Honduras 800-0-123 ; 800-7112884 Hong Kong 800-933011 Hungary www.hp.com/ support India 1-800-114772 Indonesia (21)350-3408 Ireland 01 605 0356 Italy 02 754 19 782 Jamaica 1-800-711-2884 Japan 00531-86-0011 Kazakhstan www.hp.com/ support Latvia www.hp.com/ support Lebanon www.hp.com/ support Lithuania www.hp.com/ support Luxembourg 2730 2146 Malaysia 1800-88-8588 Martinica 0-800-990-011; 877219-8671 Mauritius www.hp.com/ support Mexico 01-800-474-68368 (800 HP INVENT) Montenegro www.hp.com/ support Montserrat 1-800-711-2884 Morocco www.hp.com/ support Namibia www.hp.com/ support Netherlands 020 654 5301 Netherland Antilles 001-800-872-2881 ; 800-711-2884 New Zealand 0800-551-664 Nicaragua 1-800-0164; 800-7112884 Norway 23500027 Panama 001-800-711-2884 Paraguay (009) 800-541-0006 Peru 0-800-10111 Philippines (2)-867-3351 Poland www.hp.com/ support Portugal 021 318 0093 Puerto Rico 1-877 232 0589 Romania www.hp.com/ support Russia 495-228-3050 Saudi Arabia www.hp.com/ support Serbia www.hp.com/ support Singapore 6272-5300 Slovakia www.hp.com/ support South Africa 0800980410 South Korea 00798-862-0305 Spain 913753382 St Kitts & Nevis 1-800-711-2884 St Lucia 1-800-478-4602 St Marteen 1-800-711-2884 St Vincent 01-800-711-2884 Suriname 156 ; 800-711-2884 Swaziland www.hp.com/ support Sweden 08 5199 2065 Switzerland 022 827 8780 50 Getting Started 50 Getting Started España Table 1-7 Customer Care Information Country Hotline Phone Country Hotline Phone Country Hotline Phone Country Hotline Phone Switzerland 01 439 5358 Switzerland 022 567 5308 Switzerland 022 827 8780 Taiwan 00801-86-1047 (Italian) (French) Thailand (2)-353-9000 Trinidad & Tobago 1-800-711-2884 Tunisia www.hp.com/ support Turkey www.hp.com/ support Turks & Caicos 01-800-711-2884 UAE www.hp.com/ support United Kingdom 0207 458 0161 Uruguay 0004-054-177 US Virgin Islands 1-800-711-2884 USA 800-HP INVENT Venezuela 0-800-474-68368 (0-800 HP INVENT) Vietnam +65-6272-5300 Zambia www.hp.com/ support Product Regulatory & Environment Information Federal Communications Commission Notice This equipment has been tested and found to comply with the limits for a Class B digital device, pursuant to Part 15 of the FCC Rules. These limits are designed to provide reasonable protection against harmful interference in a residential installation. This equipment generates, uses, and can radiate radio frequency energy and, if not installed and used in accordance with the instructions, may cause harmful interference to radio communications. However, there is no guarantee that interference will not occur in a particular installation. If this equipment does cause harmful interference to radio or television reception, which can be determined by turning the equipment off and on, the user is encouraged to try to correct the interference by one or more of the following measures: • • • • Reorient or relocate the receiving antenna. Increase the separation between the equipment and the receiver. Connect the equipment into an outlet on a circuit different from that to which the receiver is connected. Consult the dealer or an experienced radio or television technician for help. Modifications The FCC requires the user to be notified that any changes or modifications made to this device that are not expressly approved by Hewlett-Packard Company may void the user's authority to operate the equipment. Getting Started Getting Started 51 51 Cables Connections to this device must be made with shielded cables with metallic RFI/EMI connector hoods to maintain compliance with FCC rules and regulations. Applicable only for products with connectivity to PC/laptop. Declaration of Conformity for products Marked with FCC Logo, United States Only This device complies with Part 15 of the FCC Rules. Operation is subject to the following two conditions: (1) this device may not cause harmful interference, and (2) this device must accept any interference received, including interference that may cause undesired operation. If you have questions about the product that are not related to this declaration, write to: Hewlett-Packard Company P.O. Box 692000, Mail Stop 530113 Houston, TX 77269-2000 For questions regarding this FCC declaration, write to: Hewlett-Packard Company P.O. Box 692000, Mail Stop 510101 Houston, TX 77269-2000 or call HP at 281-514-3333 To identify your product, refer to the part, series, or model number located on the product. Canadian Notice This Class B digital apparatus meets all requirements of the Canadian Interference-Causing Equipment Regulations. Avis Canadien Cet appareil numérique de la classe B respecte toutes les exigences du Règlement sur le matériel brouilleur du Canada. European Union Regulatory Notice This product complies with the following EU Directives: • Low Voltage Directive 2006/95/EC • EMC Directive 2004/108/EC Compliance with these directives implies conformity to applicable harmonized European standards (European Norms) which are listed on the EU Declaration of Conformity issued by Hewlett-Packard for this product or product family. 52 Getting Started 52 Getting Started This compliance is indicated by the following conformity marking placed on the product: This marking is valid for non-Telecom products and EU harmonized Telecom products (e.g. Bluetooth). This marking is valid for EU nonharmonized Telecom products. *Notified body number (used only if applicablerefer to the product label). Hewlett-Packard GmbH, HQ-TRE, Herrenberger Strasse 140, 71034 Boeblingen, Germany The official EU CE declaration of conformity for this device may be found at http://www.hp.com/go/certificates. Japanese Notice Korean Class Notice (Applicable only for products with connectivity to PC/laptop). Getting Started Getting Started 53 53 Disposal of Waste Equipment by Users in Private Household in the European Union This symbol on the product or on its packaging indicates that this product must not be disposed of with your other household waste. Instead, it is your responsibility to dispose of your waste equipment by handing it over to a designated collection point for the recycling of waste electrical and electronic equipment. The separate collection and recycling of your waste equipment at the time of disposal will help to conserve natural resources and ensure that it is recycled in a manner that protects human health and the environment. For more information about where you can drop off your waste equipment for recycling, please contact your local city office, your household waste disposal service or the shop where you purchased the product. Chemical Substances HP is committed to providing our customers with information about the chemical substances in our products as needed to comply with legal requirements such as REACH (Regulation EC No 1907/2006 of the European Parliament and the Council). A chemical information report for this product can be found at: http://www.hp.com/go/reach Perchlorate Material - special handling may apply This calculator's Memory Backup battery may contain perchlorate and may require special handling when recycled or disposed in California. 54 Getting Started 54 Getting Started 55 55

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