Appendix
A-9: Graphing
Example A-9.4
Graph the curve (an ellipse) defined implicitly by the equation 3 x2+5 y2=7.
Solution
Maple Solution - Interactive
Control-drag the defining equation.
Context Panel: Plots≻Plot Builder≻2-D implicit plot 2-D Options scaling → constrained
3 x2+5 y2=7→
Figure A-9.4(a) can also be obtained interactively via the by the following steps.
Options: Constrained Scaling
Preview
Figure A-9.4(a) Graph of an implicitly defined function
Maple Solution - Coded
Use the implicitplot command shown below. If the plots package has already been loaded, then the second (shorter) form of the command can be used. If the curve appears ragged, try adding the option gridrefine = n, where n is a positive integer. Start with n=1 and increase n to get smoother and smoother curves.
plotsimplicitplot3 x2+5 y2=7,x=−2..2,y=−2..2,scaling=constrained
withplots:implicitplot3 x2+5 y2=7,x=−2..2,y=−2..2,scaling=constrained
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