a[x_,y_]:=x^3+y^2;
b[x_,y_]:=x^2+y^3;
I want to plot a[x,y] in x axis and b[x,y] in y axis for different values of x and y say, we fix y=1 and x goes from 1 to 10.
$\begingroup$
$\endgroup$
1
2 Answers
$\begingroup$
$\endgroup$
2
Try ParametricPlot
a[x_, y_] := x^3 + y^2;
b[x_, y_] := x^2 + y^3;
ParametricPlot[{a[x, 1], b[x, 1]}, {x, 1, 10}, AspectRatio -> 1]
answered Jun 23, 2022 at 10:51
-
$\begingroup$ Haha almost at the same time, I think I beat you by a few seconds! (+1) $\endgroup$– rhermansJun 23, 2022 at 10:54
-
1
$\begingroup$
$\endgroup$
You can use With to give a local value for y and ParametricPlot for the plot.
a[x_,y_]:=x^3+y^2;
b[x_,y_]:=x^2+y^3;
With[
{y=1},
ParametricPlot[
{ a[x,y], b[x,y] }
, {x, 1, 10}
, PlotTheme -> "Scientific"
, AspectRatio -> 1
]
]
a = #1^3 + #2^2&;shorter : ) $\endgroup$