Function Solve | HP 49g specs

Note: To type the equal sign (=) in an equation, use

with the key).

Using the RPN mode, the solution is accomplished by entering the equation in the stack, followed by the variable, before entering function ISOL. Right before the execution of ISOL, the RPN stack should look as in the figure to the left. After applying ISOL, the result is shown in the figure to the right:

The first argument in ISOL can be an expression, as shown above, or an equation. For example, in ALG mode, try:

(associated

The same\problem can be solved in RPN mode as illustrated‚Åbelow (figures show the RPN stack before and after the application of function ISOL):

Function SOLVE

Function SOLVE has the same syntax as function ISOL, except that SOLVE can also be used to solve a set of polynomial equations. The help-facility entry for function SOLVE, with the solution to equation X^4 – 1 = 3 , is shown next:

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HP 49g manual Function Solve

Contents

Graphing calculator User’s manualPage Preface Page Table of Contents Calculations with real numbers Algebraic and arithmetic operations Calculations with complex numbers Operations with lists Solution to equations Matrices and linear algebra Vectors Calculus Applications GraphicsMulti-variate Calculus Applications Vector Analysis Applications Differential Equations Probability DistributionsStatistical Applications Limited Warranty W-1 Service, W-2 Regulatory information, W-4Numbers in Different Bases Chapter Getting started Basic OperationsBatteries Contents of the calculator’s display Menus Tool menuAssociated with the six soft menu keys, F1 through F6 Introducing the calculator’s keyboard Setting time and datePage Selecting calculator modes Alpha function, to enter the upper-case letter P~„p 23.0 Operating Mode √ 3.*5.-1/3.*3./23.3+EXP2.5 Lets try now the expression proposed earlier Number Format and decimal dot or comma Page Page Page Angle Measure Coordinate System Selecting CAS settings Selecting Display modes Explanation of CAS settings Selecting the display font Selecting properties of the line editor Selecting properties of the Stack Selecting properties of the equation writer EQW References Calculator objects Chapter Introducing the calculatorEditing expressions in the stack Creating arithmetic expressions Result³5*„Ü1+1/7will be shown„ÜR3as follows -2Q3`.5 Resulting…in³5*„Ü1+1/7the output„ÜR3-2Q3`.5 + y Creating algebraic expressions Using the Equation Writer EQW to create expressions Edited expression*„Ü5+1/3looks as follows + 2 ⋅ 5 + ~‚n Home directory Organizing data in the calculatorSubdirectories For this example, the Home Locks the alphabetic keyboard in lower case. When locked VariablesTyping variable names Creating variables Name Contents Type 3V5K~a12` ³~„r/„Ü ‚å‚é~„r³„ì Checking variables contents Using the right-shift key followed by soft menu key labels Using function Purge in the stack in RPN mode Using function Purge in the stack in Algebraic modeDeleting variables @PURGE@J@@p1@@` Undo and CMD functions Choose boxes vs. Soft MenuWe use Show Prog menu list and select Memory ‚¯ Page Not shown in this screen. To Find it we use Display now shows To activate the Order command we press the soft menu key Operation key, namely Examples in ALG mode Chapter Calculations with real numbersExamples of real number calculations Directly on the stack For both, ALG and RPN modes, using the Equation Writer Combination When calculating in the stack in ALG mode Key. WhenRPN mode, enter the number first, then the function, e.g „¸Page \„¸45`‚¹ RPN mode Hyperbolic functions and their inverses Real number functions in the MTH menu Pressing shows the remaining options With units Units menuKey or Page For Set of units Available unitsLabels will be listed Key or Keystroke sequence to navigate Through the menus With the keyboard, e.g.,will produce the entry Attaching units to numbers Operations with units Using Ubase to convert to the default unit 1 m results 12m 3250mi Different terms in parentheses, e.g Physical constants in the calculator @@OK@@-˜Unit conversions These operations produce the following output When selected, constants are shown without units When selected, constants are shown with units attachedCopies value with or without units to the stack Exit constants library Defining and using functions Like this Display shows what is called a tagged value HereWhich produces ‘LNx+1 + EXPx’ ‚@@@H@@ You could try Entered by using To work with complex numbers select the CAS complex mode Setting the calculator to Complex modeChapter Calculations with complex numbers Definitions Entering complex numbers Polar representation of a complex numberTo enter the unit imaginary number type the I key Simple operations with complex numbers Cmplx menu through the MTH menu Cmplx menus Cmplx menu in the keyboard Function Droite equation of a straight line Functions applied to complex numbers Reference Function Droite is found in the command catalog Entering algebraic objects Chapter Algebraic and arithmetic operations Simple operations with algebraic objects Variable menu Press To recover Functions in the ALG menu @HELP@` Catalog To complete the operation To execute the command Expansion and factoring using trigonometric functions Expansion and factoring using log-exp functionsTrig menu, triggered by using Operations with transcendental functions Functions in the Arithmetic menu Shows the following menuNumbers or to polynomials. The remaining options 1. Integer Polynomials Horner functionX6-1 = X5-5*X4+25X3-125X2+625X-3125X+5+15624 Pcoef function VariableProot function Quotient and Remainder functions Fractions Peval functionSIMP2 function Propfrac function Partfrac functionFcoef function Froots function Step-by-step operations with polynomials and fractions Reference Chapter Solution to equations Symbolic solution of algebraic equationsFunction Isol Function Solve Page Function Zeros Function Solvevx Numerical solver menu Polynomial Equations Enter vector of coefficientsSolve equation Page Page Solving equations with one unknown through NUM.SLV Financial calculations Solution shown is X 4.5006E-2 Solution to simultaneous equations with MslvPage Reference Chapter Operations with lists Creating and storing listsChanging sign Addition, subtraction, multiplication, division When applied to lists, acts a concatenation operator Functions‚Napplied to listsExample Lists of algebraic objects Lists of complex numbersMTH/LIST menu Inverse 1/x Calculate summation of elements in the list Calculate increment among consecutive elements in listCalculate product of elements in the list Sorts elements in increasing order SEQ function, available through the command catalog , takes SEQ functionMAP function Reference Entering vectors Chapter VectorsTyping vectors in the stack General row vector Vector Vector of algebraics Vectors can also be entered by using the matrix writer Mode Then, ‚íinStoring vectors into variables in the stack Stored into variables WID Key is used to edit the contents of a selected cell Cell of the spreadsheet Key will add a column full of zeros at the locationFunction Delete Will delete Selected Simple operations with vectors Addition, subtractionUsed in the following exercises Absolute value function Multiplication by a scalar, and division by a scalar Magnitude MTH/VECTOR menuDot product Examples Cross product Entering matrices in the stack Chapter Matrices and linear algebra Typing in the matrix directly into the stack Display in RPN mode will look very similar to these Addition and subtraction Operations with matrices RPN mode, try the following eight examples Multiplication Cij = aik ⋅ bkj , for i = 1,2, , m j = 1,2, , n Page Characterizing a matrix The matrix Norm menu Solution of linear systemsFunction DET Function Trace Press Following input form will be provide right Using the numerical solver for linear systems2x1 + 3x2 -5x3= Can be written as the matrix equation A⋅x = b, if @SOLVE Solution by division of matrices Solution with the inverse matrix Graphs options in the calculator Chapter Graphics Them simultaneously if in RPN mode Use a range of -4 to Plotting an expression of the form y = fxAs an example, lets plot the function Also, check that for x = -1.48 , y = To recover the menu, and return to the PlotHere is picture Press Then Zoom factor = 0.5. Toggle You will be returned to normal calculator displayTo see the table, press Soft menu key Suggested early, namely x = Key simply changes the font in the table from small to big, Fast 3D plotsOption Decimal Produces x-increments Option Integer To return to normal calculator display press Find Fast3D Values of 10 and 8 for the Step dataYou can change Orientation @EDITL Press To leave the Edit environment Reference$ Calc Calculus menu Chapter Calculus ApplicationsLimits and derivatives Function lim Infinity symbol is associated with Key, .e Including some limitsMenu within the Calcl menu Anti-derivatives and integrals Functions INT, INTVX, RISCH, Sigma and SigmavxIf and only if, fx = dF/dx, and C = constant Xdx = F b − F a ⋅ x − x o n Functions TAYLR, TAYLR0, and Series Reference Partial derivatives Chapter Multi-variate Calculus Applications Y dA = b Φ x , y dydx = Multiple integrals Chapter Vector Analysis Applications Del operatorGradient Divergence CurlAlternatively, use function Deriv as follows Solution to linear and non-linear equations Chapter Differential EquationsCALC/DIFF menu Function Ldec Ldec Function Desolve Which can be simplified to= K1⋅e-3x+ K2⋅e5x + K3⋅e2x + 450⋅x2+330⋅x+241/13500 DESOLVE` Variable Odetype Laplace transform and inverses in the calculator Laplace Transforms Function FOURIER` Fourier series for a quadratic functionWhere Exercises. Function Collect is available in the ALG menu Thus = 1/3, c Chapter Probability Distributions MTH/PROBABILITY.. sub-menu partFactorials, combinations, and permutations Random numbers MTH/PROB menu part „´The Normal distributionStudent-t distribution F distribution Chi-square distribution Entering data‚Ù5 Chapter Statistical Applications Now Sample vs. population Obtaining frequency distributions Fitting data to a function y = fx Ƒ3.FitdataCan be used Lines in RPN mode To access the summary stats… option, use When that field is selected StatisticsUsing Key select all the options for outputs, i.e Obtaining additional summary statistics Confidence intervals Press to obtain the following resultsOffers the following options Interpreted as follows Interval information @GRAPH Return to the previous results screen, and/or press Corresponding interval limits 21.88424 and 24.51576. Press @@@OK@@@ Select ∝ ≠ 150. Then, press Result is Base menu Chapter Numbers in Different BasesWriting non-decimal numbers With system flag 117 set to Soft menus, the Base menu shows @HEX Using SD cards ChapterStoring objects in the SD card Purging an object from the SD card Recalling an object from the SD card Limited Warranty Service Rotc = Rest of the country Canada 905 206-4663 or 800- HP USA Regulatory information