Plot the graph of x^y = y^x in the first quadrant and explain its properties.
Can you make a curve to match my friend's requirements?
Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.
Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.
Compares the size of functions f(n) for large values of n.