How can I expand the mutivariate taylor series of the functions below about the point (x,y)

f(h*a[2]+x, h*a[2]*k[1]+y);

 and

f(h*a[3]+x, y+h(a[3]-b[32])*k[1]+h*b[32]*k[2]);

I've asked this question before but this time around there's a new twist. I want to plot a parametric plot of the function below. z is Complex and i'm plotting the roots of z in the numerator to the roots of z in the denominator.

6*(20*z^5+137*z^4+450*z^3+850*z^2+900*z+420))

/(300*z^6-1490*z^5+4197*z^4-7800*z^3+9600*z^2-7200*z+2520)

hope it makes sense this time around.

Hello guys, pls. how can I plot the graph of the rational function below.

The numerator against the denominator. this is very strange to me and does not make sense at all.

How can I use maple to generate the taylor series of y(x+h). I used the syntax taylor(y(x+h), x=0) but it gave the result

Hi everyone. Someone should pls. teach me how to plot a graph in maple. i've never done this before and I hope what I'm about to do is very much feasible. I don't have a function to plot, I'm plotting the errors from my computation against time(t) at interval 0 t 1. Someone shoukd pls. explain this for me with random values or use the sample values below .

  time           error1         error2