Hp 49g Graphing Calculator Manuel d'utilisateur télécharger pdf (Page 87)

Slopefield plots

A slopefield plot draws a lattice of line segments whose slopes represent

the value of the function/(a’,i/) at their centerpoint. Slopefield plots are

particularly useful in understanding antiderivatives and in solving

differential equations.

A slopefield plot needs two inputs to generate an output. The HP 49G uses

a two-dimensional smnpling grid of points whose coordinates provide

the two inputs required. By default, the sampling grid consists of 80

points: 10 colunms by 8 rows.

The following example is a slopefield plot of

-v: +

HIDDOH - JLOPEFIELD^^

SETUP

H-LcFt !'!-F;i'3ht: i .

Type:HEf^ttOJEJ ¿:R<ld

V-F-3t-: i.

Ee:Vi<K)

Step Indep:If. Deprid = S.

Indep :K Depnd :'i'

Enter HiniHUM K MieH-u«>luHe uel

Chi'i-ie type of plot

nota ummm 4 i'i3' !i

■ ■ «BilMIMiSllllillliliM

Figure 4-15: Default plot window and plot setup parameters for slopefield plots

\ \ \ \

X X N

\ \ \ 'i

X X X \ \

>>>,'x S'

ix X X \ \

Figure 4-16: Sample slopefield plot

Plot window parameters

X-Left, X-Right The horizontal display range corresponding to the first

independent variable (entered in the Indep field).

Y-Near, Y-Far The vertical display range corresponding to the second

independent variable (entered in the Depnd field).

Step Indep The number of columns in the sampling grid.

Step Depnd The number of rows in the sampling grid.

Plotting graphs

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Hp 49g Graphing Calculator Manuel d'utilisateur Page 87