How are z values determined – Texas Instruments PLUS TI-89 User Manual

Page 185

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168 Chapter 10: 3D Graphing

10_3D.DOC TI-89/TI-92 Plus: 3D Graphing (English) Susan Gullord Revised: 02/23/01 11:00 AM Printed: 02/23/01 4:22 PM Page 168 of 22

10_3D.DOC TI-89/TI-92 Plus: 3D Graphing (English) Susan Gullord Revised: 02/23/01 11:00 AM Printed: 02/23/01 4:22 PM Page 168 of 22

You can set the

ncontour

Window variable (

¥

$

) to specify the

number of contours that will be evenly distributed along the
displayed range of z values, where:

increment =

zmax

ì

zmin

ncontour + 1

The z values for the contours are:

zmin + increment
zmin + 2(increment)
zmin + 3(increment)

©

zmin + ncontour(increment)

If

ncontour=5

and you use the standard viewing window (

zmin=

ë

10

and

zmax=10

) , the increment is 3.333. Five contours are drawn for

z=л 6.666, л 3.333, 0, 3.333, and 6.666.

Note, however, that a contour is not drawn for a z value if the 3D
graph is not defined at that z value.

If a contour graph is currently displayed, you can specify a point on
the graph and draw a contour for the corresponding z value.

1. To display the

Draw

menu, press:

TI

-

89:

2 ˆ

TI

-

92 Plus

:

ˆ

2. Select

7:Draw Contour

.

3. Either:

¦

Type the point’s x value and press
¸, and then type the y value
and press ¸.

– or –

¦

Move the cursor to the applicable point. (The cursor moves
along the grid lines.) Then press ¸.

For example, suppose the current graph is

z1(x,y)=x

ñ

+.5y

с м

5

. If you

specify x=2 and y=3, a contour is drawn for z=3.5.

How Are Z Values
Determined?

Drawing a Contour
for the Z Value of a
Selected Point
Interactively

Tip: Any existing contours
remain on the graph. To
remove the default contours,
display the Window editor
(

¥ $

)

and set

ncontour=0

.

The default is 5. You can

set this to 0 through 20.

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