illustrates graphs and information of conic sections - Maple Programming Help

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Home : Support : Online Help : Education : Student Packages : Precalculus : Interactive : Student/Precalculus/ConicsTutor

Student[Precalculus][ConicsTutor] - illustrates graphs and information of conic sections

Calling Sequence

ConicsTutor()

ConicsTutor(f)

Parameters

f

-

(optional) input equation of the conic section in cartesian xy-coordinates or polar rt-coordinates

Description

• 

The ConicsTutor command launches a tutor interface that illustrates the graph and provides information about the related conic section.

• 

The equation f can be one of the following forms:

– 

expr1=expr2 where expr1 and expr2 are of degree at most 2, in terms of x and y.

– 

expr where expr is of degree at most 2 in terms of x and y.

– 

r=gt where gt is the polar form of an equation for a conic section, in terms of the variable t.

– 

gt where gt is the polar form of an equation for a conic section, in terms of the variable t.

  

Note that gt can either be a constant or be in the form ab+cdt , where a, b, and c are real numbers, and d is the sine or cosine function.

• 

If f is not specified, ConicsTutor uses a default function.

• 

By default, the tutor returns the plot when you close it.  You can instead choose to return nothing, an embedded table (including the plot and summary information), the command used to generate the plot, or summary information.

Examples

withStudentPrecalculus:

If the ConicsTutor command is run with no arguments, the default expression is x2+y2=1.

ConicsTutor

Circle:

ConicsTutorx2+y2=1

Parabola:

ConicsTutorx2+2xy+y2+2x2y+4

Parabola in polar coordinates:

ConicsTutorr=11+cost+π3

Ellipse:

ConicsTutorx2+xy+y23x1=0

Hyperbola:

ConicsTutor8x2+24xy+y2+x+2y+1

See Also

Student, Student[Precalculus], Student[Precalculus][InteractiveOverview]