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HP 50g manual Graphics, Calculus Applications

Models: 50g

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Page 9

Matrix multiplication, 9-5

Term-by-term multiplication, 9-6

Raising a matrix to a real power, 9-6

The identity matrix, 9-7

The inverse matrix, 9-7

Characterizing a matrix (The matrix NORM menu), 9-8Function DET, 9-8

Function TRACE, 9-8 Solution of linear systems, 9-9

Using the numerical solver for linear systems, 9-9 Solution with the inverse matrix, 9-11

Solution by “division” of matrices, 9-11 References, 9-12

Chapter 10 - Graphics

Graphs options in the calculator, 10-1

Plotting an expression of the form y = f(x), 10-2

Generating a table of values for a function, 10-4

Fast 3D plots, 10-5

Reference, 10-7

Chapter 11 - Calculus Applications

The CALC (Calculus) menu, 11-1

Limits and derivatives, 11-1

Function lim, 11-1

Functions DERIV and DERVX, 11-3 Anti-derivatives and integrals, 11-3

Functions INT, INTVX, RISCH, SIGMA and SIGMAVX, 11-3 Definite integrals, 11-4

Infinite series, 11-5

Functions TAYLR, TAYLR0, and SERIES, 11-5

Reference, 11-6

Page TOC-6

Image 9

HP 50g manual Graphics, Calculus Applications

Contents

User’s manual HP 50g graphing calculatorPrinting History Preface Table of Contents Calculations with real numbers Algebraic and arithmetic operations Calculations with complex numbersOperations with lists Solution to equationsMatrices and linear algebra VectorsCalculus Applications GraphicsVector Analysis Applications Multi-variateCalculus ApplicationsDifferential Equations Probability DistributionsStatistical Applications Using SD cardsNumbers in Different Bases Equation LibraryChapter Getting started Basic OperationsBatteries Page Contents of the calculator’s display MenusTool menu Introducing the calculator’s keyboard Setting time and dateALPHA-Left-Shift function, to enter the lower-case letter p Selecting calculator modes √ 3.*5.-1/3.*3./23.3+EXP2.5 Operating ModePage 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 Coordinate System Angle MeasureSelecting CAS settings Explanation of CAS settings Selecting Display modes Selecting properties of the line editor Selecting the display fontSelecting properties of the Stack Selecting properties of the equation writer EQW ReferencesCalculator objects Chapter Introducing the calculatorEditing expressions in the stack Creating arithmetic expressionsPage Page 2L 1 + + 2 L + y Creating algebraic expressionsUsing the Equation Writer EQW to create expressions + 2 ⋅ 5 + ⎛ x + 2 ∝ ⋅ ∆y ⎞ Home directory Organizing data in the calculatorVariables SubdirectoriesTyping variable names Creating variables Algebraic modeRPN 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 Choose boxes vs. Soft Menu Undo and CMD functions@@OK@@ References Examples of real number calculations Chapter Calculations with real numbersPage Using powers of 10 in entering data Page Using calculator menus Real number functions in the MTH menuHyperbolic functions and their inverses Page Units menu Operations with unitsPage Attaching units to numbers Available unitsUnit prefixes Operations with units Unit conversions Quit Physical constants in the calculatorPage 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 Cmplx menu in keyboard Functions applied to complex numbersFunction Droite equation of a straight line Page Entering algebraic objects Chapter Algebraic and arithmetic operationsSimple operations with algebraic objects Functions in the ALG menu Collect Operations with transcendental functions Expansion and factoring using log-exp functionsExpansion and factoring using trigonometric functions FACTORSSIMP2 Functions in the Arithmetic menuHorner function PolynomialsVariable Pcoef functionProot function FractionsQuot and Remainder functions Peval functionPropfrac function SIMP2 functionPartfrac 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 Zeros Function SolvevxNumerical solver menu Polynomial Equations Finding the solutions to a polynomial equationEnter vector of roots Generating an algebraic expression for the polynomial Financial calculationsFunction Steq Solving equations with one unknown throughSolution to simultaneous equations with Mslv Reference Page Creating and storing lists Chapter Operations with listsOperations with lists of numbers Changing signAddition, subtraction, multiplication, division Page Functions applied to lists Lists of complex numbersMTH/LIST menu Lists of algebraic objectsPage MAP function SEQ functionPage Chapter Vectors Entering vectorsTyping vectors in the stack Storing vectors into variables in the stack Moving to the right vs. moving down in the Matrix Writer Using the Matrix Writer Mtrw to enter vectorsPress @GOTO@ 3@@OK@@ 3@@OK@@ @@OK@@ to move to position 3,3 Addition, subtraction Simple operations with vectorsMTH/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 Term-by-term multiplication Raising a matrix to a real powerInverse matrix Identity matrixFunction DET Characterizing a matrix The matrix Norm menuFunction Trace TrA = ∑aiiUsing the numerical solver for linear systems Solution of linear systems⎢x2 = ⎢1Solution by division of matrices Solution with the inverse matrixReferences Graphs options in the calculator Chapter Graphics= 1 exp− x Plotting an expression of the form y = fxPage Generating a table of values for a function Fast 3D plots Keep the default plot window ranges to read Reference Page Calc Calculus menu Chapter Calculus ApplicationsLimits and derivatives Function limLim f Functions Deriv and Dervx Anti-derivatives and integralsFunctions INT, INTVX, RISCH, Sigma and Sigmavx Xdx = F x + CDefinite integrals Infinite series Functions TAYLR, TAYLR0, and Series= ∑ Reference Partial derivatives Chapter Multi-variate Calculus ApplicationsMultiple integrals Chapter Vector Analysis Applications Del operatorGradient Curl DivergenceChapter Differential Equations Solution to linear and non-linear equationsCALC/DIFF menu Function LdecPage Variable Odetype Function DesolveLaplace transform and inverses in the calculator Laplace TransformsFunction Fourier Fourier seriesLf t= F s = 0∞ f t ⋅ e− st dt 2inπtFourier series for a quadratic function Reference Page MTH/PROBABILITY.. sub-menu part Chapter Probability DistributionsFactorials, combinations, and permutations − r +Random numbers MTH/PROB menu part Normal distributionStudent-t distribution F distribution Chi-square distributionEntering data Chapter Statistical ApplicationsSample vs. population Calculating single-variable statisticsObtaining frequency distributions Page 195238095238 + 2.00857242857*X Correlation Covariance Fitting data to a function y = fxObtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Page Base menu Chapter Numbers in Different BasesWriting non-decimal numbers Chapter Using SD cards Inserting and removing an SD cardFormatting an SD card Storing objects on the SD card Accessing objects on an SD cardPurging an object from the SD card Recalling an object from the SD cardSpecifying a directory on an SD card Purging all objects on the SD card by reformatting`#EQLIB #EQNLI Chapter Equation LibraryStep 30 ##¢0#- L *!!!!!!V0!!!!!+ Reference Limited Warranty W-2 Europe Asia Pacific Country Telephone numbers ServiceAmerica Country Telephone numbers Federal Communications Commission Notice Regulatory informationCanadian Notice Korean Notice