Tvpe: |¡jhyyh"g)¿hi rad e(î: ' x'“'3*y-x*y-''3, Injuiga?hgiamibi – HP 48G User Manual

Page 74

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Note that the three-dimensional coordinate system on the HP 48

is somewhat constrained compared to its abstract, mathematical

counterpart. Specihcally:

■ The plot display screen does not rotate in space; it always stays

parallel to the ?;z-plane and perpendicular to the

y - a x i s .

This means

that,

visually, “height”

is

always along the r-axis, “width” along the

;r-a.xis, and “depth” along the

y - a x i s .

m

The

y - a x i s

is always oriented so that negative y-values are “nearer”

and positive j/-values “farther” away from the plot display.

B The eyepoint must be at least one unit “nearer” than

y n e a r

{ V e

<

U n e a r ~

1) and Can never exist “within” the View Volume.

Whenever you move the eyepoint, you also move the plot display

screen so that it remains exactly one unit awa,y in the direction of

the «/-axis.

■ Vou cannot plot a “top” view of a function (looking down onto the

.7;;y-plane) simply by moving the eyepoint. (You may simulate this

b}' transforming coordinates, however.)

Example:

Plot a wireframe view of:

f { X , Y ) = X ^ Y - X Y ^

S t e p 1 :

Change the plot type to Wi ref rane and enter the function.

® ©w (5
CD®

x

E|3(

x

y

x

® ©Y (23 3 (ENTER)

PLDTfc®

TVPE: Nireframe Rad

' X”’3*V-X*Y“-3'

INOEP:

STEPS: 10

BEPND:

Y

STEPS: 3

ENTER INDEPENDENT VAR NAME_____

S t e p 2 :

Set the number of horizontal and vertical

steps

(or “frames”)

to plot.

(© 12 (ENTER) (S 12 fENW)

PlOTj

TVPE:

|¡jHyyH"g)¿Hi Rad

E(î:

' X'“'3*Y-X*Y-''3 '

INDEP: X

STEPS: 12

tiEPND:Y

STEPS: 12

CHnnSE TYPE OF PLOT______________

injuiga?HgiamiBi

6-8 Plotting Equations and Analyzing Graphs

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