Plotting an inequality of two related variable in a linear space

I want to plot the inequality with two variables a and b such that a>b. Variables a and b have values between 0 and 1. Inequality I want to plot is - 8*a^6+3*(a^3)(b^2)+sqrt(2*(a^5)(b)+7*(a^2)(b^4))>=a^3/b^2. I want the shaded region where inequality is satisfied. How can I plot this in matlab? I am new to graphing and any sort of help will be really appreciated.

Answer 1

[Torsten]

Try

f = @(a,b)a^3/b^2-(- 8*a^6+3*(a^3)(b^2)+sqrt(2*(a^5)(b)+7*(a^2)(b^4)));
fimplicit(f,[0 1  0 1])

I didn't use it until now, but maybe

https://de.mathworks.com/matlabcentral/fileexchange/56996-plotting-inequalities-ineqplot

is also an option.

[Sabrina Garland]

But how will I make sure a>b in this?

[Sabrina Garland]

I tried this and I got an empty plot Why is that?

[Torsten]

What about

f = @(a,b)a^3-b^2*(- 8*a^6+3*(a^3)(b^2)+sqrt(2*(a^5)(b)+7*(a^2)(b^4)));

?

If the plot is again empty, then the expression is either always > 0 or < 0 for values in [0:1]x[0,1] .

[Sabrina Garland]

Still getting an empty graph with a warning. Warning: Function behaves unexpectedly on array inputs. To improve performance, properly vectorize your function to return an output with the same size and shape as the input arguments.

[Torsten]

f = @(a,b)a.^3./b.^2-(- 8*a.^6+3*(a.^3).*(b.^2)+sqrt(2*(a.^5).*b+7*(a.^2).*(b.^4)));

I think you also forgot several multiplication signs in your function definition.

[Sabrina Garland]

I figured my mistake. It worked! Thanks a ton