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What curve does 4x 2+xy+y 2 = 1 represent? How to draw it with a geometric sketchpad?
You can use Mathematica or Matlab, Maple, etc.

Mathematical software is a software specially used for mathematical operation, mathematical planning, statistical operation, engineering operation, drawing mathematical graphics or making mathematical animation. ?

Intelligent math software includes: enjoy math assistant? mathtool? Practical mathematics software. ?

The famous mathematical softwares are: Matlab, Mathematica, Maple, MathCad, Scilab, SAGE, etc. ?

The famous statistical software includes: SAS, SPSS, Minitab, etc. ?

The software of mathematical planning includes: Lingo, Lindo, etc. ?

Drawing software includes: geometric sketchpad, Matlab, etc. ?

Math typing software includes: Mathtype, Latex, Lexiang Math Assistant, etc. ?

Engineering calculation software includes: Ansys (finite element software) and so on. ?

This is the statement that Mathematica draws a curve 4x 2+xy+y 2 = 1:

Plot3D[4? x^2? +? x*y? +? y^2? ==? 1,? {x,? -3,? 3},? {y,? -2,? 2}]

The image is: