# Pr-surface Plots - HP 48gII User Manual

Graphing calculator.

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)
(3) EXP((X,Y))
i.e., F(z) = e
(5) TAN((X,Y))
i.e., F(z) = tan(z)
(7) (X,Y)^3
i.e., F(z) = z
(9) √ (X,Y)
i.e., F(z) = z

## 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.
textbooks will use (u,v) as the parameters, rather than (X,Y).
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
to
TYPE
Pr-Surface.
Press ˜ and type '{X*SIN(Y), X*COS(Y), X}' @@@OK@@@.
Make sure that 'X' is selected as the
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:
Y-Far: 1, Z-Low: -1, Z-High:1, XE: 0, YE:-3, zE:0,
Press @ERASE @DRAW to draw the three-dimensional surface.
Press @EDITL @LABEL @MENU to see the graph with labels and ranges.
(2)(X,Y)^2
z
(4) SINH((X,Y)) i.e., F(z) = sinh(z)
(6) ATAN((X,Y)) i.e., F(z) = tan
3
(8) 1/(X,Y)
1/2
Indep:
X-Left:-1, X-Right:1, Y-Near:-1,
Step Indep: 10, Depnd: 8
2
i.e., F(z) = z
-1
(z)
i.e., F(z) = 1/z
Most
Thus, the
and 'Y' as the
Depnd:
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