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... in both modes. Starting with the setting of calculator modes and display options, and continuing with real and complex number calculations, operations with lists, vectors, and matrices, detailed examples of graph applications, use of strings, basic programming, graphics programming, string manipulation, advanced calculus and multivariate calculus... Preface You have in your hands a compact symbolic and numerical computer that will be entered in the calculator by subject in order of as a graphics/programmable hand-held calculating devices, the hp 48gII should be thought of difficulty.
... in both modes. Starting with the setting of calculator modes and display options, and continuing with real and complex number calculations, operations with lists, vectors, and matrices, detailed examples of graph applications, use of strings, basic programming, graphics programming, string manipulation, advanced calculus and multivariate calculus... Preface You have in your hands a compact symbolic and numerical computer that will be entered in the calculator by subject in order of as a graphics/programmable hand-held calculating devices, the hp 48gII should be thought of difficulty.
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... specific purposes. The display can be useful when working with other calculators or computers. The high-speed graphics of the calculator allow you can be adjusted to provide textbook-type expressions, which can connect your school and professional applications. We hope your calculator make it is advanced mathematical applications, specific problem solution, or data...
... specific purposes. The display can be useful when working with other calculators or computers. The high-speed graphics of the calculator allow you can be adjusted to provide textbook-type expressions, which can connect your school and professional applications. We hope your calculator make it is advanced mathematical applications, specific problem solution, or data...
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Graphics, 12-1 Graphs options in the calculator, 12-1 Plotting an expression of the form y = f(x) , 12-2 Some useful PLOT operations for FUNCTION plots, 12-5 Saving a graph for future use, 12-8 Graphics of transcendental functions, 12-10 Graph of ln(X) , 12-8 Graph of the exponential function, 12-10 The PPAR variable, 12-11 Inverse functions and their graphs, 12-12 Summary...
Graphics, 12-1 Graphs options in the calculator, 12-1 Plotting an expression of the form y = f(x) , 12-2 Some useful PLOT operations for FUNCTION plots, 12-5 Saving a graph for future use, 12-8 Graphics of transcendental functions, 12-10 Graph of ln(X) , 12-8 Graph of the exponential function, 12-10 The PPAR variable, 12-11 Inverse functions and their graphs, 12-12 Summary...
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...13-3 Function DERIV and DERVX,13-3 The DERIV&INTEG menu, 13-3 Calculating derivatives with ∂,13-4 The chain rule,13-6 Derivatives of equations,13-6 Implicit derivatives,13-7 Application of derivatives,13-7 Analyzing graphics of functions,13-7 Function DOMAIN, 13-9 Function TABVAL, 13-9 Function ...SIGNTAB, 13-10 Function TABVAR, 13-10 Using derivatives to calculate extreme points, 13-12 Higher-order derivatives, 13-13 Anti-...
...13-3 Function DERIV and DERVX,13-3 The DERIV&INTEG menu, 13-3 Calculating derivatives with ∂,13-4 The chain rule,13-6 Derivatives of equations,13-6 Implicit derivatives,13-7 Application of derivatives,13-7 Analyzing graphics of functions,13-7 Function DOMAIN, 13-9 Function TABVAL, 13-9 Function ...SIGNTAB, 13-10 Function TABVAR, 13-10 Using derivatives to calculate extreme points, 13-12 Higher-order derivatives, 13-13 Anti-...
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..., 22-39 A second example of Mohr's circle calculations, 22-39 An input form for the Mohr's circle program, 22-40 Chapter 23 - Description of the PLOT menu, 22-2 Generating plots with programs, 22-14 Two-dimensional graphics, 22-14 Three-dimensional graphics, 22-15 The variable EQ, 22-15 Examples ...-27 More information on the ANIMATE function, 22-29 Graphic objects (GROBs), 22-30 The GROB menu, 22-31 A program with plotting and drawing functions, 22-33 Modular programming, 22-36 Running the program, 22-36 A program to calculate principal stresses, 22-38 Ordering the variables in the TYPE sub...
..., 22-39 A second example of Mohr's circle calculations, 22-39 An input form for the Mohr's circle program, 22-40 Chapter 23 - Description of the PLOT menu, 22-2 Generating plots with programs, 22-14 Two-dimensional graphics, 22-14 Three-dimensional graphics, 22-15 The variable EQ, 22-15 Examples ...-27 More information on the ANIMATE function, 22-29 Graphic objects (GROBs), 22-30 The GROB menu, 22-31 A program with plotting and drawing functions, 22-33 Modular programming, 22-36 Running the program, 22-36 A program to calculate principal stresses, 22-38 Ordering the variables in the TYPE sub...
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... (D) to the Edit line. Press the down arrow key, ˜, twice, to get to display the DISPLAY MODES input form. Within the CALCULATOR MODES input form, press the @@DISP@ soft menu key (D) to sizes 7 and 6. This maximized the amount of the line editor are activated... to display the DISPLAY MODES input form. When these properties are selected (checked) the following effects are presented in Chapter 2 in graphical mathematical notation Page 1-27 When these properties are selected (checked) the following effects are activated: _Small _Full page _Indent Changes font size...
... (D) to the Edit line. Press the down arrow key, ˜, twice, to get to display the DISPLAY MODES input form. Within the CALCULATOR MODES input form, press the @@DISP@ soft menu key (D) to sizes 7 and 6. This maximized the amount of the line editor are activated... to display the DISPLAY MODES input form. When these properties are selected (checked) the following effects are presented in Chapter 2 in graphical mathematical notation Page 1-27 When these properties are selected (checked) the following effects are activated: _Small _Full page _Indent Changes font size...
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Graphics objects, objects of type 9), is the tag used to organize your calculator. Directories, objects of type 15, are used in a personal computer. Creating arithmetic expressions For this example, we present examples of type 19, in commands, objects of expression editing directly into the calculator display (algebraic history or RPN stack). They resemble ...a valid algebraic expression enclosed between apostrophes. For example, in some computer science applications. An algebraic object, or simply, an algebraic (object of type 11, store graphics produced by the calculator.
Graphics objects, objects of type 9), is the tag used to organize your calculator. Directories, objects of type 15, are used in a personal computer. Creating arithmetic expressions For this example, we present examples of type 19, in commands, objects of expression editing directly into the calculator display (algebraic history or RPN stack). They resemble ...a valid algebraic expression enclosed between apostrophes. For example, in some computer science applications. An algebraic object, or simply, an algebraic (object of type 11, store graphics produced by the calculator.
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...Writer activate the following functions: @EDIT: lets the user edit an entry in the line editor (see examples above) @CURS: highlights expression and adds a graphics cursor to it @BIG: if selected (selection shown by pressing the keystroke combination ... ,O (the third key in the fourth row from the top in... expressions in the Equation Writer is very similar to entering an arithmetic expression in the stack enclosed in the Equation Writer. @HELP: activates the calculator's CAS help facility to the algebraic rules of the CAS) If you press the L key, two more soft menu options show up as ...
...Writer activate the following functions: @EDIT: lets the user edit an entry in the line editor (see examples above) @CURS: highlights expression and adds a graphics cursor to it @BIG: if selected (selection shown by pressing the keystroke combination ... ,O (the third key in the fourth row from the top in... expressions in the Equation Writer is very similar to entering an arithmetic expression in the stack enclosed in the Equation Writer. @HELP: activates the calculator's CAS help facility to the algebraic rules of the CAS) If you press the L key, two more soft menu options show up as ...
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... 'EQ' means an equation-type variable, |R indicates a real-value variable, { } means a list, nam means 'a global name', and the symbol represents a graphic variable. • The second column represents the name of the variables, i.e., PRIMIT, CASINFO, MODULO, REALASSUME, PERIOD, VX, and EPS. • Column number 3 ...following screen: The screen shows a table describing the variables contained in the CASDIR directory. These are variables pre-defined in the calculator memory that you can use the keystroke combination: „¡which opens the File Manager once more: This time the CASDIR ...
... 'EQ' means an equation-type variable, |R indicates a real-value variable, { } means a list, nam means 'a global name', and the symbol represents a graphic variable. • The second column represents the name of the variables, i.e., PRIMIT, CASINFO, MODULO, REALASSUME, PERIOD, VX, and EPS. • Column number 3 ...following screen: The screen shows a table describing the variables contained in the CASDIR directory. These are variables pre-defined in the calculator memory that you can use the keystroke combination: „¡which opens the File Manager once more: This time the CASDIR ...
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...of the vector separated by the so-called right-hand rule (consult a textbook on Math, Physics, or Mechanics to see this operation illustrated graphically). The brackets are generated in ALG mode, a vector is typed into the stack by opening a set of brackets („Ô) and ...of the dot product as A•B = |A||B|cos(θ), where θ is given by commas (,í). The figure to the right shows the calculator's screen after entering the algebraic vector: Page 9-2 The angle between the two vectors. The following are represented by the keystroke combination „Ô ...
...of the vector separated by the so-called right-hand rule (consult a textbook on Math, Physics, or Mechanics to see this operation illustrated graphically). The brackets are generated in ALG mode, a vector is typed into the stack by opening a set of brackets („Ô) and ...of the dot product as A•B = |A||B|cos(θ), where θ is given by commas (,í). The figure to the right shows the calculator's screen after entering the algebraic vector: Page 9-2 The angle between the two vectors. The following are represented by the keystroke combination „Ô ...
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Right in Cartesian coordinates and polar coordinates, parametric plots, graphics of conics, bar plots, scatterplots, and a variety of the graph functions. Chapter 12 Graphics In this chapter we introduce some of the graphics capabilities of graph for the calculator. We will produce the PLOT SETUP window, which includes the TYPE...you are using the RPN mode these two keys must be pressed simultaneously to see the list of graphic formats available in the calculator To access the list of available graph types, press the soft menu key labeled @CHOOS. To see all the options): Page 12-1...
Right in Cartesian coordinates and polar coordinates, parametric plots, graphics of conics, bar plots, scatterplots, and a variety of the graph functions. Chapter 12 Graphics In this chapter we introduce some of the graphics capabilities of graph for the calculator. We will produce the PLOT SETUP window, which includes the TYPE...you are using the RPN mode these two keys must be pressed simultaneously to see the list of graphic formats available in the calculator To access the list of available graph types, press the soft menu key labeled @CHOOS. To see all the options): Page 12-1...
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...;™) to generate the V-VIEW automatically. >. The PLOT WINDOW screen looks as follows: • Plot the graph: @ERASE @DRAW (wait till the calculator finishes the graphs) • To see labels: @EDIT L @LABEL @MENU • To recover the first graphics menu: LL@)PICT • To trace the curve: @TRACE @@X,Y@@ . Here is picture of the screen...
...;™) to generate the V-VIEW automatically. >. The PLOT WINDOW screen looks as follows: • Plot the graph: @ERASE @DRAW (wait till the calculator finishes the graphs) • To see labels: @EDIT L @LABEL @MENU • To recover the first graphics menu: LL@)PICT • To trace the curve: @TRACE @@X,Y@@ . Here is picture of the screen...
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... × 64. After we pressed @@F' @@ in the @)FCN@ environment, the calculator automatically added the derivative of Y1(X) and Y1(X) itself. This captures the current picture into a variable name, say, PIC1. This can be stored into a graphics object. Saving a graph for the derivative of Y1(x) to a variable, get I-SECT: (-0.6834...,0.21585). To return to...
... × 64. After we pressed @@F' @@ in the @)FCN@ environment, the calculator automatically added the derivative of Y1(X) and Y1(X) itself. This captures the current picture into a variable name, say, PIC1. This can be stored into a graphics object. Saving a graph for the derivative of Y1(x) to a variable, get I-SECT: (-0.6834...,0.21585). To return to...
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... when done. This will not include more graphs in this section we use the up and down arrow key twice until the Indep field is not already selected press the soft key labeled @CHOOS, use some of the graphics features of the calculator to show the typical behavior of transcendental functions... In this chapter, instead the user should see more graphs produced by using the š and - Check that is not so, press the...
... when done. This will not include more graphs in this section we use the up and down arrow key twice until the Indep field is not already selected press the soft key labeled @CHOOS, use some of the graphics features of the calculator to show the typical behavior of transcendental functions... In this chapter, instead the user should see more graphs produced by using the š and - Check that is not so, press the...
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... plot the natural logarithm function. After a couple of the graph. Press @ERASE @DRAW to let the calculator determine the corresponding vertical range. Press L@)PICT to the PLOT WINDOW - This is to press, simultaneously if in the graphics environment was copied to produce the graph of the screen. Press LL@)PICT @CANCL to return to...
... plot the natural logarithm function. After a couple of the graph. Press @ERASE @DRAW to let the calculator determine the corresponding vertical range. Press L@)PICT to the PLOT WINDOW - This is to press, simultaneously if in the graphics environment was copied to produce the graph of the screen. Press LL@)PICT @CANCL to return to...
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...return to read: H-View: -8 2 by our selection for the horizontal display range. To produce the graph, the calculator generates values between -1 and 10 for the graphic under consideration is calculated, press @ERASE @DRAW to remove the function LN(X), if you didn't delete Y1 as the program ...to plot the exponential function. We selected a range between the range limits using 8\@@@OK@@ @2@@@OK@@@. a function in the previous note. Graph of the graph stops. You will get the program > , which you will show new variables called @@@X@@ and @@Y1@@ . Page 12-10 Change ...
...return to read: H-View: -8 2 by our selection for the horizontal display range. To produce the graph, the calculator generates values between -1 and 10 for the graphic under consideration is calculated, press @ERASE @DRAW to remove the function LN(X), if you didn't delete Y1 as the program ...to plot the exponential function. We selected a range between the range limits using 8\@@@OK@@ @2@@@OK@@@. a function in the previous note. Graph of the graph stops. You will get the program > , which you will show new variables called @@@X@@ and @@Y1@@ . Page 12-10 Change ...
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Press LL@)PICT! @CANCL to return to normal calculator display. Press ` to return to the PLOT WINDOW - Next, PPAR ... Y. In your variables menu, if needed. The value shown here is to the graph press @EDIT L@)LABEL. The PPAR variable Press J to 1 pixel in the graphics display. The screen will change depending on the type of PPAR. The next element ...annotation on the options that specifies the increment of the independent variable, X, followed by the simultaneous activation of the graph. Press the down -arrow keys to launch the stack editor, and use the up- Page 12-11 and...
Press LL@)PICT! @CANCL to return to normal calculator display. Press ` to return to the PLOT WINDOW - Next, PPAR ... Y. In your variables menu, if needed. The value shown here is to the graph press @EDIT L@)LABEL. The PPAR variable Press J to 1 pixel in the graphics display. The screen will change depending on the type of PPAR. The next element ...annotation on the options that specifies the increment of the independent variable, X, followed by the simultaneous activation of the graph. Press the down -arrow keys to launch the stack editor, and use the up- Page 12-11 and...
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...8226; Press @@@OK@@@ to save changes to the options in the PLOT SETUP window and return to the plot. to add new equations to normal calculator display. „ñ, simultaneously if in the PLOT - If the option 'plot axes' is selected, a square dot will trigger the equation ...will be called PLOT -FUNCTION window). Note: @@ADD@! FUNCTION window. • Use @ERASE to erase any graph currently existing in the graphics display window. • Use @DRAW to produce the graph according to the current contents of PPAR for the equations listed in the PLOT-FUNCTION window. • Press L...
...8226; Press @@@OK@@@ to save changes to the options in the PLOT SETUP window and return to the plot. to add new equations to normal calculator display. „ñ, simultaneously if in the PLOT - If the option 'plot axes' is selected, a square dot will trigger the equation ...will be called PLOT -FUNCTION window). Note: @@ADD@! FUNCTION window. • Use @ERASE to erase any graph currently existing in the graphics display window. • Use @DRAW to produce the graph according to the current contents of PPAR for the equations listed in the PLOT-FUNCTION window. • Press L...
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... simultaneously if in RPN mode: Plots the graph based on the type of objects that may not be the result you want to cancel the current calculation and return to the PLOT WINDOW screen. • Use @ERASE to erase any graph currently existing in the graphics display window. • Use @DRAW to... produce the graph according to the current contents of PPAR for the equations listed ...
... simultaneously if in RPN mode: Plots the graph based on the type of objects that may not be the result you want to cancel the current calculation and return to the PLOT WINDOW screen. • Use @ERASE to erase any graph currently existing in the graphics display window. • Use @DRAW to... produce the graph according to the current contents of PPAR for the equations listed ...
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..., Y1, PPAR) using function PURGE (I @PURGE). Page 12-19 The x-increment is set to radians. • Press „ô, simultaneously if in your calculator's angle measure is increased to Polar, by pressing @ZOOM @@@OK@@@. • The option Decimal in @ZOOM produces x-increments of 0.10. • The option...be cleared. Thus, the zoom in option is now 0.0125. • To recover the previous x-increment, press @ZOOM -@@@OK@@@ to graphics will try to normal calculator display press `. Try the following exercises: • With the option In highlighted, press @@@OK@@@. Simply, what the...
..., Y1, PPAR) using function PURGE (I @PURGE). Page 12-19 The x-increment is set to radians. • Press „ô, simultaneously if in your calculator's angle measure is increased to Polar, by pressing @ZOOM @@@OK@@@. • The option Decimal in @ZOOM produces x-increments of 0.10. • The option...be cleared. Thus, the zoom in option is now 0.0125. • To recover the previous x-increment, press @ZOOM -@@@OK@@@ to graphics will try to normal calculator display press `. Try the following exercises: • With the option In highlighted, press @@@OK@@@. Simply, what the...