Below is the type of equation I want a digital diagram/graph for:
$f(x,y) = a_0x^3 + a_1x^2y + a_2xy^2 + a_3y^3 + a_4x^2 + a_5xy + a_6y^2 + a_7x + a_8y$
To clarify, $a_0, a_1, a_2, a_3, a_4, a_5, a_6, a_7 ,a_8$ are known coefficients.
Please pardon my ignorance as I have just started.
Any help regarding how I can graph the solution (any website or software that can be useful) would be highly appreciated.
This is the actual polynomials with the coefficients substituted: $$f(x, y) = -2.8553 x^3-10.431 x^2 y+0.28077 x^2-4.82487 x y^2+1.89407 x+\\+65.8761 x y-2.68436 y^3+14.7628 y^2-40.3066 y$$
These are the two new polynomials I need to graph: $$ p(x, y) = -1.87019(x^3) -3.95625(x^2)(y) - 4.23593(x)(y^2) – 0.783805(y^3) + 4.39398(x^2) + 29.5375xy + 2.64509(y^2) – 4.64281x – 6.76092y $$
$$ q(x, y) = 8.53686(x^3) + 3.95625(x^2)(y) + 4.23593(x)(y^2) + 0.783805(y^3) – 34.394(x^2) – 29.5375xy – 2.64509(y^2) + 41.3095x + 6.76092y $$
Please teach me how to operate CalcPlot or GeoGebra because when I try to graph them myself, the scale is blown out of proportion and I do not know the right way to do it. Or if the graph could be shared by someone, I would really appreciate it as well.
Geogebra 3d is the easiest one, it is free and online. Otherwise you can use Matlab (or Octave) which can do much more than geogebra, but you have to learn their programming language