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HP 50g Operations with transcendental functions, Expansion and factoring using log-exp functions

Models: 50g

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For example, for function SUBST, we find the following CAS help facility entry:

NOTE: Recall that, to use these, or any other functions in the RPN mode, you must enter the argument first, and then the function. For example, the example for TEXPAND, in RPN mode will be set up as:

³„¸+~x+~y`

At this point, select function TEXPAND from menu ALG (or directly from the catalog ‚N), to complete the operation.

Operations with transcendental functions

The calculator offers a number of functions that can be used to replace expressions containing logarithmic and exponential functions („Ð), as well as trigonometric functions (‚Ñ).

Expansion and factoring using log-exp functions

The „Ðproduces the following menu:

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HP 50g manual Operations with transcendental functions, Expansion and factoring using log-exp functions

Contents

HP 50g graphing calculator User’s manualPrinting History Preface Table of Contents Calculations with real numbers Calculations with complex numbers Algebraic and arithmetic operationsSolution to equations Operations with listsVectors Matrices and linear algebraGraphics Calculus ApplicationsDifferential Equations Multi-variateCalculus ApplicationsVector Analysis Applications Probability DistributionsNumbers in Different Bases Using SD cardsStatistical Applications Equation LibraryChapter Getting started Basic OperationsBatteries Page Contents of the calculator’s display MenusTool menu Setting time and date Introducing the calculator’s keyboardALPHA-Left-Shift function, to enter the lower-case letter p Selecting calculator modes Operating Mode √ 3.*5.-1/3.*3./23.3+EXP2.5Page Lets try now the expression proposed earlier Number Format and decimal dot or comma Standard formatFixed format with decimals Scientific format Engineering format Decimal comma vs. decimal point Angle Measure Coordinate SystemSelecting CAS settings Explanation of CAS settings Selecting Display modes Selecting the display font Selecting properties of the line editorSelecting properties of the Stack References Selecting properties of the equation writer EQWEditing expressions in the stack Chapter Introducing the calculatorCalculator objects Creating arithmetic expressionsPage Page Creating algebraic expressions 2L 1 + + 2 L + yUsing the Equation Writer EQW to create expressions + 2 ⋅ 5 + ⎛ x + 2 ∝ ⋅ ∆y ⎞ Organizing data in the calculator Home directoryVariables SubdirectoriesTyping variable names Algebraic mode Creating variablesRPN mode Page Checking variables contents Listing the contents of all variables in the screen Using function Purge in the stack in Algebraic modeDeleting variables Using function Purge in the stack in RPN mode Undo and CMD functions Choose boxes vs. Soft Menu@@OK@@ References Chapter Calculations with real numbers Examples of real number calculationsPage Using powers of 10 in entering data Page Using calculator menus Real number functions in the MTH menuHyperbolic functions and their inverses Page Operations with units Units menuPage Available units Attaching units to numbersUnit prefixes Operations with units Unit conversions Physical constants in the calculator QuitPage Defining and using functions Reference Setting the calculator to Complex mode Chapter Calculations with complex numbersDefinitions Entering complex numbers Polar representation of a complex number Simple operations with complex numbers Cmplx menusCmplx menu through the MTH menu Forms the complex number x,y out of real numbers x Functions applied to complex numbers Cmplx menu in keyboardFunction Droite equation of a straight line Page Chapter Algebraic and arithmetic operations Entering algebraic objectsSimple operations with algebraic objects Functions in the ALG menu Collect Expansion and factoring using log-exp functions Operations with transcendental functionsExpansion and factoring using trigonometric functions Functions in the Arithmetic menu FACTORSSIMP2Variable PolynomialsHorner function Pcoef functionQuot and Remainder functions FractionsProot function Peval functionPartfrac function SIMP2 functionPropfrac function Fcoef functionStep-by-step operations with polynomials and fractions Froots function− 5X 2 + 3X − Reference Chapter Solution to equations Symbolic solution of algebraic equationsFunction Isol Function Solve Page Function Solvevx Function ZerosNumerical solver menu Finding the solutions to a polynomial equation Polynomial EquationsEnter vector of roots Financial calculations Generating an algebraic expression for the polynomialSolving equations with one unknown through Function SteqSolution to simultaneous equations with Mslv Reference Page Operations with lists of numbers Chapter Operations with listsCreating and storing lists Changing signAddition, subtraction, multiplication, division Page Lists of complex numbers Functions applied to listsLists of algebraic objects MTH/LIST menuPage SEQ function MAP functionPage Chapter Vectors Entering vectorsTyping vectors in the stack Storing vectors into variables in the stack Using the Matrix Writer Mtrw to enter vectors Moving to the right vs. moving down in the Matrix WriterPress @GOTO@ 3@@OK@@ 3@@OK@@ @@OK@@ to move to position 3,3 Simple operations with vectors Addition, subtractionMTH/VECTOR menu Multiplication by a scalar, and division by a scalarAbsolute value function Magnitude Dot productCross product Reference Using the Matrix Writer Chapter Matrices and linear algebraEntering matrices in the stack Typing in the matrix directly into the stack Operations with matrices Addition and subtraction MultiplicationMultiplication by a scalar Matrix-vector multiplication Matrix multiplicationCij = ∑aik ⋅ bkj , for i = 1,2,K, m j = 1,2,K, n Raising a matrix to a real power Term-by-term multiplicationIdentity matrix Inverse matrixFunction Trace Characterizing a matrix The matrix Norm menuFunction DET TrA = ∑aiiSolution of linear systems Using the numerical solver for linear systems= ⎢1 ⎢x2Solution with the inverse matrix Solution by division of matricesReferences Chapter Graphics Graphs options in the calculatorPlotting an expression of the form y = fx = 1 exp− xPage Generating a table of values for a function Fast 3D plots Keep the default plot window ranges to read Reference Page Limits and derivatives Chapter Calculus ApplicationsCalc Calculus menu Function limLim f Functions INT, INTVX, RISCH, Sigma and Sigmavx Anti-derivatives and integralsFunctions Deriv and Dervx Xdx = F x + CDefinite integrals Infinite series Functions TAYLR, TAYLR0, and Series= ∑ Reference Chapter Multi-variate Calculus Applications Partial derivativesMultiple integrals Chapter Vector Analysis Applications Del operatorGradient Divergence CurlCALC/DIFF menu Solution to linear and non-linear equationsChapter Differential Equations Function LdecPage Function Desolve Variable OdetypeLaplace Transforms Laplace transform and inverses in the calculatorLf t= F s = 0∞ f t ⋅ e− st dt Fourier seriesFunction Fourier 2inπtFourier series for a quadratic function Reference Page Factorials, combinations, and permutations Chapter Probability DistributionsMTH/PROBABILITY.. sub-menu part − r +Random numbers MTH/PROB menu part Normal distributionStudent-t distribution Chi-square distribution F distributionChapter Statistical Applications Entering dataCalculating single-variable statistics Sample vs. populationObtaining frequency distributions Page Fitting data to a function y = fx 195238095238 + 2.00857242857*X Correlation CovarianceObtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Page Chapter Numbers in Different Bases Base menuWriting non-decimal numbers Chapter Using SD cards Inserting and removing an SD cardFormatting an SD card Accessing objects on an SD card Storing objects on the SD cardRecalling an object from the SD card Purging an object from the SD cardPurging all objects on the SD card by reformatting Specifying a directory on an SD cardChapter Equation Library `#EQLIB #EQNLIStep 30 ##¢0#- L *!!!!!!V0!!!!!+ Reference Limited Warranty W-2 Service Europe Asia Pacific Country Telephone numbersAmerica Country Telephone numbers Regulatory information Federal Communications Commission NoticeCanadian Notice Korean Notice