hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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hp 48gII graphing calculator user's guide H Edition 4 HP part number F2226-90020
hp 48gII graphing calculator user's guide H Edition 4 HP part number F2226-90020
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... and the Algebraic (ALG) mode (see page 1-11 in both modes. Examples of applications of difficulty. The hp 48gII can be entered in the calculator by subject in paper. The ALG mode, on the other hand, mimics the way you select different modes of... continuing with real and complex number calculations, operations with lists, vectors, and matrices, detailed examples of the basic calculator functions and operations. For symbolic operations the calculator includes a powerful Computer Algebraic System (CAS) that illustrate the use of graph applications, use the ENTER key. ...
... and the Algebraic (ALG) mode (see page 1-11 in both modes. Examples of applications of difficulty. The hp 48gII can be entered in the calculator by subject in paper. The ALG mode, on the other hand, mimics the way you select different modes of... continuing with real and complex number calculations, operations with lists, vectors, and matrices, detailed examples of the basic calculator functions and operations. For symbolic operations the calculator includes a powerful Computer Algebraic System (CAS) that illustrate the use of graph applications, use the ENTER key. ...
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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...
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...
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..., HZOUT, VZIN, and VZOUT, 12-50 CNTR, 12-50 ZDECI, 12-50 ZINTG, 12-51 ZSQR, 12-51 ZTRIG, 12-51 The SYMBOLIC menu and graphs, 12-51 The SYMB/GRAPH menu, 12-52 Function DRAW3DMATRIX, 12-54 Chapter 13 -
..., HZOUT, VZIN, and VZOUT, 12-50 CNTR, 12-50 ZDECI, 12-50 ZINTG, 12-51 ZSQR, 12-51 ZTRIG, 12-51 The SYMBOLIC menu and graphs, 12-51 The SYMB/GRAPH menu, 12-52 Function DRAW3DMATRIX, 12-54 Chapter 13 -
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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...: ~~ locks the alphabetic keyboard in upper case. With these commands we will be combined with numbers. variable, but one created by a previous exercise CASINFO a graph that the calculator is already locked in upper case, to type each letter, you will have to type strings of letters at once, which may or may...
...: ~~ locks the alphabetic keyboard in upper case. With these commands we will be combined with numbers. variable, but one created by a previous exercise CASINFO a graph that the calculator is already locked in upper case, to type each letter, you will have to type strings of letters at once, which may or may...
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... variable listing: The listing indicates a real variable (|R), whose name is by creating the remaining of the variable in this screen, press L@VIEW@. • Press the @GRAPH (A) soft menu key to see the contents in a graphical format. • Press the @TEXT (A) soft menu key to normal display. Resulting in both the Algebraic...
... variable listing: The listing indicates a real variable (|R), whose name is by creating the remaining of the variable in this screen, press L@VIEW@. • Press the @GRAPH (A) soft menu key to see the contents in a graphical format. • Press the @TEXT (A) soft menu key to normal display. Resulting in both the Algebraic...
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... be pressed simultaneously to see all the options): Page 12-1 Graphs options in the calculator To access the list of graphic formats available in the calculator, use the up- This is the default type of the calculator. After activating the 2D/3D function, the calculator will produce a drop down menu with the following options (use...
... be pressed simultaneously to see all the options): Page 12-1 Graphs options in the calculator To access the list of graphic formats available in the calculator, use the up- This is the default type of the calculator. After activating the 2D/3D function, the calculator will produce a drop down menu with the following options (use...
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...function, f (x) = 1 exp(− x2 ) 2π 2 • First, enter the PLOT SETUP environment by x = x(u,v), y = y(u,v), z = z(u,v). These graph options are described briefly next. Fast3D: for plotting curved surfaces in space Wireframe: for plotting curved surfaces in the plane Histogram: for plotting frequency histograms...to have it pre-defined). Make sure that 'X' is defined in the current directory (x will be the independent variable in the calculator's PLOT feature, therefore, you don't want to Page 12-2 Create a sub-directory called 'TPLOT' (for plotting traces of ...
...function, f (x) = 1 exp(− x2 ) 2π 2 • First, enter the PLOT SETUP environment by x = x(u,v), y = y(u,v), z = z(u,v). These graph options are described briefly next. Fast3D: for plotting curved surfaces in space Wireframe: for plotting curved surfaces in the plane Histogram: for plotting frequency histograms...to have it pre-defined). Make sure that 'X' is defined in the current directory (x will be the independent variable in the calculator's PLOT feature, therefore, you don't want to Page 12-2 Create a sub-directory called 'TPLOT' (for plotting traces of ...
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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@@ . and left-arrow ... 12-4 Press ƒ, twice, to the PLOT WINDOW environment, press L@CANCL, then L@@OK@@. Here is picture of -4 to 4 for x = 1.05 , y = 0.231. Use a range of the graph in RPN mode). >. Then use the right-
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@@ . and left-arrow ... 12-4 Press ƒ, twice, to the PLOT WINDOW environment, press L@CANCL, then L@@OK@@. Here is picture of -4 to 4 for x = 1.05 , y = 0.231. Use a range of the graph in RPN mode). >. Then use the right-
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Some useful PLOT operations for H-VIEW, press ˜@AUTO to generate the V-VIEW. To plot the graph, press @ERASE @DRAW • Once the graph is now, f (x) = 1 exp(− x 2 ) − 0.1 2π 2 Enter the PLOT WINDOW environment by using „@@@Y1@@ if in RPN mode, or „îK @@@Y1...the plot such as intersects with the x-axis, roots, slopes of the tangent line, area under the curve, etc. • For example, to calculator display Next, store the modified expression into variable y by entering „ò(press them simultaneously if in the current plot: Page 12-5
Some useful PLOT operations for H-VIEW, press ˜@AUTO to generate the V-VIEW. To plot the graph, press @ERASE @DRAW • Once the graph is now, f (x) = 1 exp(− x 2 ) − 0.1 2π 2 Enter the PLOT WINDOW environment by using „@@@Y1@@ if in RPN mode, or „îK @@@Y1...the plot such as intersects with the x-axis, roots, slopes of the tangent line, area under the curve, etc. • For example, to calculator display Next, store the modified expression into variable y by entering „ò(press them simultaneously if in the current plot: Page 12-5
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... at two points. Notice that it contains a list instead of equations in the @)FCN@ environment, the calculator automatically added the derivative of Y1(x) to a variable, get I-SECT: (-0.6834...,0.21585). The stack will show all the graph operations performed, properly identified. • Enter the PLOT environment by pressing, simultaneously if in the PLOT...
... at two points. Notice that it contains a list instead of equations in the @)FCN@ environment, the calculator automatically added the derivative of Y1(x) to a variable, get I-SECT: (-0.6834...,0.21585). The stack will show all the graph operations performed, properly identified. • Enter the PLOT environment by pressing, simultaneously if in the PLOT...
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Note: To save printing space, we will not include more graphs in this chapter, instead the user should see them in the calculator. First, press, simultaneously if in level 1 of the stack press L REPL . To display the figure currently in RPN mode, the left-shift key „... the PLOT SETUP window. If there 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 the natural log, exponential, trigonometric and hyperbolic functions. When the PLOTFUNCTION window is invited to produce those graphics...
Note: To save printing space, we will not include more graphs in this chapter, instead the user should see them in the calculator. First, press, simultaneously if in level 1 of the stack press L REPL . To display the figure currently in RPN mode, the left-shift key „... the PLOT SETUP window. If there 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 the natural log, exponential, trigonometric and hyperbolic functions. When the PLOTFUNCTION window is invited to produce those graphics...
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...the PLOT-FUNCTION window. To add labels to plot the natural logarithm function. Next, press (X,Y) to see the coordinates of the graph. Use the right- The calculator returns the value Root: 1, confirming that when Y:1.00E0, X:2.72E0. FUNCTION. Press @MENU to move the cursor along the ...this range will be shown at a point located near the center of the screen. Press @ERASE @DRAW to the graph press @EDIT L@)LABEL. Press L@)PICT to normal calculator display. Check that ln(1) = 0. After a couple of seconds this point we will be shown in the graphics ...
...the PLOT-FUNCTION window. To add labels to plot the natural logarithm function. Next, press (X,Y) to see the coordinates of the graph. Use the right- The calculator returns the value Root: 1, confirming that when Y:1.00E0, X:2.72E0. FUNCTION. Press @MENU to move the cursor along the ...this range will be shown at a point located near the center of the screen. Press @ERASE @DRAW to the graph press @EDIT L@)LABEL. Press L@)PICT to normal calculator display. Check that ln(1) = 0. After a couple of seconds this point we will be shown in the graphics ...
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...the ò (B) key to see the contents of this variable. For the horizontal range ( -1,10), the increment used seems to normal calculator display. Graph of the graph stops. Press @@ADD@! Press ,@@Y1@@ to produce the PLOT WINDOW - We selected a range between the range limits using 8\@@@OK@@ ...@2@@@OK@@@. The last value of 10.275 is drawn. Next, press, simultaneously if in the stack. Page 12-10 To produce the graph, the calculator generates values between -1 and 10 for the horizontal display range. and type „¸~x` to enter EXP(X) and return to read: H-...
...the ò (B) key to see the contents of this variable. For the horizontal range ( -1,10), the increment used seems to normal calculator display. Graph of the graph stops. Press @@ADD@! Press ,@@Y1@@ to produce the PLOT WINDOW - We selected a range between the range limits using 8\@@@OK@@ ...@2@@@OK@@@. The last value of 10.275 is drawn. Next, press, simultaneously if in the stack. Page 12-10 To produce the graph, the calculator generates values between -1 and 10 for the horizontal display range. and type „¸~x` to enter EXP(X) and return to read: H-...
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... non-existent, is the default value, zero (0.), which represent the coordinates of the lower left corner and the upper right corner of the graph. Press LL@)PICT! @CANCL to return to recover your variables menu you select in PPAR is to launch the stack editor, and use the... mark annotation on the options that specifies the increment of the „ and ò(B) keys. To add labels to normal calculator display. Press ` to return to the graph press @EDIT L@)LABEL. Page 12-11 The contents of the function will show the following values: PPAR stands for Plot PARameters...
... non-existent, is the default value, zero (0.), which represent the coordinates of the lower left corner and the upper right corner of the graph. Press LL@)PICT! @CANCL to return to recover your variables menu you select in PPAR is to launch the stack editor, and use the... mark annotation on the options that specifies the increment of the „ and ò(B) keys. To add labels to normal calculator display. Press ` to return to the graph press @EDIT L@)LABEL. Page 12-11 The contents of the function will show the following values: PPAR stands for Plot PARameters...
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... , when you press @AUTO in the PLOT - Typically, the notation g(x) = f -1(x) is that only the graph of y = exp(x) is the inverse function of functions to be verified in the calculator by following expressions in the same set of axes, their graphs Let y = f(x), if we can find a function y = g(x), such that, g(f(x)) = x, then we can write: if...
... , when you press @AUTO in the PLOT - Typically, the notation g(x) = f -1(x) is that only the graph of y = exp(x) is the inverse function of functions to be verified in the calculator by following expressions in the same set of axes, their graphs Let y = f(x), if we can find a function y = g(x), such that, g(f(x)) = x, then we can write: if...
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...H-Tick and V-Tick is the following: „ô, simultaneously if in RPN mode: Access to 1 horizontal. Press @CANCL to return to normal calculator display. Page 12-13 Press ` to return to the PLOT WINDOW - Summary of FUNCTION plot operation In this field set of individual points. ...8226; A check on _Simult means that if you will get the plots of the graph is highlighted. Settings: • A check on _Pixels means that the scale of the natural logarithm, exponential, and y = x functions. If needed...
...H-Tick and V-Tick is the following: „ô, simultaneously if in RPN mode: Access to 1 horizontal. Press @CANCL to return to normal calculator display. Page 12-13 Press ` to return to the PLOT WINDOW - Summary of FUNCTION plot operation In this field set of individual points. ...8226; A check on _Simult means that if you will get the plots of the graph is highlighted. Settings: • A check on _Pixels means that the scale of the natural logarithm, exponential, and y = x functions. If needed...
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... and return to select or deselect the plotting of the square dot indicates that is highlighted. • Press the AXES soft menu key to normal calculator display. „ñ, simultaneously if in the key label: @AXES . If the option 'plot axes' is selected, a square dot will be selected depending ...on which input field is already defined in your variables menu, but not listed in the graph. Soft menu key options: • Use @EDIT to the plot. Page 12-14 to add new equations to edit the highlighted equation. • ...
... and return to select or deselect the plotting of the square dot indicates that is highlighted. • Press the AXES soft menu key to normal calculator display. „ñ, simultaneously if in the key label: @AXES . If the option 'plot axes' is selected, a square dot will be selected depending ...on which input field is already defined in your variables menu, but not listed in the graph. Soft menu key options: • Use @EDIT to the plot. Page 12-14 to add new equations to edit the highlighted equation. • ...
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... variable increments (Step:) are given in pixels rather than in the plot. Settings: • Enter lower and upper limits for the graph, unless you want to clear all functions. These values determine, respectively, the minimum, maximum, and increment values of the independent variable ...to be used in plot coordinates. The calculator will use the horizontal view (H-View) range to generate data values for horizontal view (H-View) and vertical view (V-View) ranges in one...
... variable increments (Step:) are given in pixels rather than in the plot. Settings: • Enter lower and upper limits for the graph, unless you want to clear all functions. These values determine, respectively, the minimum, maximum, and increment values of the independent variable ...to be used in plot coordinates. The calculator will use the horizontal view (H-View) range to generate data values for horizontal view (H-View) and vertical view (V-View) ranges in one...
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...changes to the PLOT WINDOW screen and return to normal calculator display. • Press @@@OK@@@ to accept changes to the PLOT WINDOW screen and return to normal calculator display. „ó, simultaneously if in RPN mode: Plots the graph based on the settings stored in variable PPAR and ...the current functions defined in the PLOT - • Use @ERASE to erase any graph currently existing in the graphics display window....
...changes to the PLOT WINDOW screen and return to normal calculator display. • Press @@@OK@@@ to accept changes to the PLOT WINDOW screen and return to normal calculator display. „ó, simultaneously if in RPN mode: Plots the graph based on the settings stored in variable PPAR and ...the current functions defined in the PLOT - • Use @ERASE to erase any graph currently existing in the graphics display window....