HP 48gII - Manual (Page 424)

Page 12-43
• Press $ , or L@@@OK@@@, to return to normal calculator display.
Other functions of a complex variable worth trying for Gridmap plots are:
(1) SIN((X,Y))
i.e., F(z) = sin(z) (2)(X,Y)^2 i.e., F(z) = z 2
(3) EXP((X,Y)) i.e., F(z) = e z (4) SINH((X,Y)) i.e., F(z) = sinh(z)
(5) TAN((X,Y)) i.e., F(z) = tan(z) (6) ATAN((X,Y)) i.e., F(z) = tan -1 (z)
(7) (X,Y)^3 i.e., F(z) = z 3 (8) 1/(X,Y) i.e., F(z) = 1/z
(9) √ (X,Y) i.e., F(z) = z 1/2
Pr-Surface plots
Pr-Surface (parametric surface) plots are used to plot a three-dimensional
surface whose coordinates (x,y,z) are described by x = x(X,Y), y = y(X,Y),
z=z(X,Y), where X and Y are independent parameters.
Note: The equations x = x(X,Y), y = y(X,Y), z=z(X,Y) represent a parametric
description of a surface. X and Y are the independent parameters. Most
textbooks will use (u,v) as the parameters, rather than (X,Y). Thus, the
parametric description of a surface is given as x = x(u,v), y = y(u,v), z=z(u,v).
For example, to produce a Pr-Surface plot for the surface x = x(X,Y) = X sin Y,
y = y(X,Y) = x cos Y, z=z(X,Y)=X, use the following:
• Press „ô, simultaneously if in RPN mode, to access to the PLOT
SETUP window.
• Change TYPE to Pr-Surface.
• Press ˜ and type ‘{X*SIN(Y), X*COS(Y), X}’ @@@OK@@@.
• Make sure that ‘X’ is selected as the
Indep: and ‘Y’ as the Depnd:
variables.
• Press L@@@OK@@@ to return to normal calculator display.
• Press „ò, simultaneously if in RPN mode, to access the PLOT
WINDOW screen.
• Keep the default plot window ranges to read:
X-Left:-1, X-Right:1, Y-Near:-1,
Y-Far: 1, Z-Low: -1, Z-High:1, XE: 0, YE:-3, zE:0, Step Indep: 10, Depnd: 8
• Press @ERASE @DRAW to draw the three-dimensional surface.
• Press @EDITL @LABEL @MENU to see the graph with labels and ranges.