User manual HP 49G+ GRAPHING CALCULATOR

[. . . ] hp 49g+ graphing calculator user's manual H Edition 2 HP part number F2228-90001 Notice REGISTER YOUR PRODUCT AT: www. register. hp. com THIS MANUAL AND ANY EXAMPLES CONTAINED HEREIN ARE PROVIDED "AS IS" AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETT-PACKARD COMPANY MAKES NO WARRANTY OF ANY KIND WITH REGARD TO THIS MANUAL, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, NON-INFRINGEMENT AND FITNESS FOR A PARTICULAR PURPOSE. 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 2003 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 4995 Murphy Canyon Rd, Suite 301 San Diego, CA 92123 Printing History Edition 2 December 2003 Preface You have in your hands a compact symbolic and numerical computer that will facilitate calculation and mathematical analysis of problems in a variety of disciplines, from elementary mathematics to advanced engineering and science subjects. [. . . ] In the first one, 4-5 =125, SOLVE produces no solutions { }. In the second one, 4 - 5 = 6, SOLVE produces four solutions, shown in the last output line. The very last solution is not visible because the result occupies more characters than the width of the calculator's screen. However, you can still see all the solutions by using the down arrow key (~), which triggers the line editor (this operation can be used to access any output line that is wider than the calculator's screen): The corresponding RPN screens for these two examples, before and after the application of function SOLVE, are shown next: Page 6-3 Function SOLVEVX The function SOLVEVX solves an equation for the default CAS variable contained in the reserved variable name VX. By default, this variable is set to `X'. Examples, using the ALG mode with VX = `X', are shown below: In the first case SOLVEVX could not find a solution. In the second case, SOLVEVX found a single solution, X = 2. The following screens show the RPN stack for solving the two examples shown above (before and after application of SOLVEVX): Function ZEROS The function ZEROS finds the solutions of a polynomial equation, without showing their multiplicity. The function requires having as input the expression for the equation and the name of the variable to solve for. Examples in ALG mode are shown next: Page 6-4 To use function ZEROS in RPN mode, enter first the polynomial expression, then the variable to solve for, and then function ZEROS. The following screen shots show the RPN stack before and after the application of ZEROS to the two examples above (Use Complex mode in the CAS):: The Symbolic Solver functions presented above produce solutions to rational equations (mainly, polynomial equations). If the equation to be solved for has all numerical coefficients, a numerical solution is possible through the use of the Numerical Solver features of the calculator. Numerical solver menu The calculator provides a very powerful environment for the solution of single algebraic or transcendental equations. To access this environment we start the numerical solver (NUM. SLV) by using , . This produces a dropdown menu that includes the following options: Page 6-5 Following, we present applications of items 3. Appendix 1-A, in the calculator's user's guide, contains instructions on how to use input forms with examples for the numerical solver applications. MSLV (Multiple equation SoLVer) will be presented later in page 6-10. Whenever you solve for a value in the NUM. SLV applications, the value solved for will be placed in the stack. This is useful if you need to keep that value available for other operations. There will be one or more variables created whenever you activate some of the applications in the NUM. SLV menu. Polynomial Equations Using the Solve poly. . . option in the calculator's SOLVE environment you can: (1) find the solutions to a polynomial equation; (2) obtain the coefficients of the polynomial having a number of given roots; and, (3) obtain an algebraic expression for the polynomial as a function of X. Finding the solutions to a polynomial equation A polynomial equation is an equation of the form: anxn + an-1xn-1 + . . . + a1x + a0 = 0. For example, solve the equation: 3s4 + 2s3 - s + 1 = 0. [. . . ] HP products may contain remanufactured parts equivalent to new in performance or may have been subject to incidental use. 2. 3. 4. 5. 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. 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 ABOVE. [. . . ]