Pr-surface plots, Pr-surface plots ,12-41 – HP 50g Graphing Calculator User Manual

Page 424

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Page 12-41

Θ Press „ô, simultaneously if in RPN mode, to access to the PLOT

SETUP window.

Θ Change

TYPE

to

Gridmap.

Θ Press ˜ and type ‘SIN(X+i*Y)’ @@@OK@@@.
Θ Make sure that ‘X’ is selected as the

Indep:

and ‘Y’ as the

Depnd:

variables.

Θ Press L@@@OK@@@ to return to normal calculator display.
Θ Press „ò, simultaneously if in RPN mode, to access the PLOT

WINDOW screen.

Θ Keep the default plot window ranges to read:

X-Left:-1, X-Right:1, Y-Near:-1 Y-

Far: 1, XXLeft:-1 XXRight:1, YYNear:-1, yyFar: 1,

Step Indep: 10 Depnd: 8

Θ Press @ERASE @DRAW to draw the gridmap plot. The result is a grid of functions

corresponding to the real and imaginary parts of the complex function.

Θ Press @EDIT L@LABEL @MENU to see the graph with labels and ranges.

Θ Press LL@)PICT @CANCL to return to the PLOT WINDOW environment.
Θ 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.

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