Domain sketch for multiple variables function

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Khoa Le
Khoa Le 2022 年 8 月 8 日
コメント済み: Hassan 2024 年 9 月 15 日
How do I sketch the domain of the function f(x,y) =\dfrac{sqrt(y-x^2)}{(1-x^2)}
How to sketch domain D f(x,y)<=0 on Oxy?
This is for my exercise so I really need some help. Thanks in advanced!

回答 (1 件)

Mathy
Mathy 2024 年 8 月 18 日
Hi Khoa,
You can make use of the example below to sketch the domain of the provided function:
% Define the range for x and y
x = linspace(-1, 1, 100); % 100 points between -1 and 1
y = linspace(4, 8, 100); % 100 points between 4 and 8
% Create a meshgrid of x and y values
[X, Y] = meshgrid(x, y);
% Calculate the function values
Z = sqrt(Y - X.^2) ./ (1 - X.^2);
% Handle the points where the function is undefined (x = 1 or x = -1)
Z(abs(X) == 1) = NaN;
% Plot the function
surf(X, Y, Z);
xlabel('x');
ylabel('y');
zlabel('f(x, y)');
title('Plot of f(x, y) = sqrt(y - x^2) / (1 - x^2)');
The resulting sketch would look something like this:
Hope this helps!
  1 件のコメント
Hassan
Hassan 2024 年 9 月 15 日
Z=sqrt(x^2-2y)

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