illustrates graphs and information of conic sections - Maple Help

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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:
 – $\mathrm{expr1}=\mathrm{expr2}$ where expr1 and $\mathrm{expr2}$ are of degree at most 2, in terms of x and y.
 – $\mathrm{expr}$ where $\mathrm{expr}$ is of degree at most $2$ in terms of x and y.
 – $r=g\left(t\right)$ where $g\left(t\right)$ is the polar form of an equation for a conic section, in terms of the variable t.
 – $g\left(t\right)$ where $g\left(t\right)$ is the polar form of an equation for a conic section, in terms of the variable t.
 – Note that $g\left(t\right)$ can either be a constant or be in the form $\frac{a}{b+cd\left(t\right)}$ , 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.

Examples

 > $\mathrm{with}\left(\mathrm{Student}[\mathrm{Precalculus}]\right):$
 > $\mathrm{ConicsTutor}\left(\right)$
 > $\mathrm{ConicsTutor}\left({x}^{2}+2xy+{y}^{2}+2x-2y+4\right)$