I have a function:
C = 0.0625 + 0.0008*X - 0.0232*Y - 0.0157*Z + 0.0059*X^2 + 0.0112*Y^2 + 0.0160*Z^2 - 0.0063*X*Y - 0.0243*X*Z + 0.0211*Y*Z
This equation has 4 variables, X, Y, Z, C. Normally, I would change X, Y, Z to get a C. Now I wanted to get a feel how a 3D plot of X, Y, Z would look given a value for C. Thus X, Y, Z are unknown in this case. I tried a few examples with Wolfram|Alpha:
As you can see the function changes. My question is: How can I make this interactive? So a slider for C and a plot of the corresponding figure?
Normally I would try this in python or matlab, but I haven't got the faintest idea how to start, but since Wolfram|Alpha is able to plot this, I guess it should be possible.
I think this is especially difficult, since there are 3 unknowns and 1 function, nevertheless Wolfram|Alpha is able to do it.