HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 228)

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101

plotpolar(f(x),x,a,b) draws the polar curve r=f(x) for x in [a,b]

Sequence

Syntax: plotseq(f(Var), Var={Start, Xmin, Xmax}, Integer n)

Given an expression in x and a list containing three values, draws the line y=x, the plot of the function dened

by the expression over the domain dened by the interval between the last two values, and draws the cobweb

plot for the rst n terms of the sequence dened recursively by the expression (starting at the rst value).

Example:

plotseq(1-x/2, x={3 -1 6}, 5) plots y=x and y=1–x/2 (from x=–1 to x=6), then draws the rst

5 terms of the cobweb plot for u(n)=1-(u(n–1)/2, starting at u(0)=3

Implicit

Syntax: plotimplicit(Expr, [XIntrvl, YIntrvl])

Plots an implicitly dened curve from Expr (in x and y). Specically, plots Expr=0. Note the use of lowercase x

and y. With the optional x-interval and y-interval, this command plots only within those intervals.

Example:

plotimplicit((x+5)^2+(y+4)^2-1) plots a circle, centered at the point (-5, -4), with a radius of 1

Slopeeld

Syntax: plotfield(Expr, [x=X1..X2 y=Y1..Y2], [Xstep, Ystep], [Option])

Plots the graph of the slopeeld for the dierential equation y’=f(x,y) over the given x-range and y-range. If

Option is normalize, the slopeeld segments drawn are equal in length.

Example:

plotfield(x*sin(y), [x=-6..6, y=-6..6],normalize) draws the slopeeld for

y'=x*sin(y), from -6 to 6 in both directions, with segments that are all of the same length

ODE

Syntax: plotode(Expr, [Var1, Var2, ...], [Val1, Val2. ...])

Draws the solution of the dierential equation y’=f(Var1, Var2, ...) that contains as initial condition for the

variables Val1, Val2,... The rst argument is the expression f(Var1, Var2,...), the second argument is the vector

of variables, and the third argument is the vector of initial conditions.

Example:

plotode(x*sin(y), [x,y], [–2, 2]) draws the graph of the solution to y’=x*sin(y) that

passes through the point (–2, 2) as its initial condition

List

Syntax: plotlist(Matrix 2xn)

Plots a set of n points and connects them with segments. The points are dened by a 2xn matrix, with the

abscissas in the rst row and the ordinates in the second row.

Example:

plotlist([[0,3],[2,1],[4,4],[0,3]]) draws a triangle

180 Chapter 9 Geometry

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