How to sketch the given solid and its condition?
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Shubham Khatri on 31 Jul 2021
Please use the following code to plot the two surfaces
z = @(x,y) (x-1)^2 +y^2; % function handle to anonymous function
z = @(x,y) 2-(2*x)^1 +0*y^2; % function handle to anonymous function
You can use different functions to plot a surface. Although the surfaces are not meeting in this case, but you can refer to this answer to connect surfaces to create a solid.
For more information refer to the documentation of fsurf.
Hope it helps
DGM on 31 Jul 2021
For simple visualization, it's often sufficient to just truncate the surfaces by setting the excess values to NaN.
% plot domain
x = linspace(-1.1,1.1,100);
y = linspace(-1.1,1.1,100).';
z1 = (x-1).^2 + y.^2;
z2 = 2 - 2*x + 0*y; % the zero term is just there to force expansion
% mask off surfaces beyond enclosed volume
m = z1>z2;
z1(m) = NaN;
z2(m) = NaN;
surf(x,y,z1); hold on
This doesn't result in a perfectly closed volume, since the surfaces are rectangular meshes and they aren't joined at the edge. For a fine mesh, the result is sufficient to visualize the volume and typically satisfy the intent of homework assignments. You may choose to opt for different view/shading settings or a more complicated approach entirely.