RE: Making a 3D graph with highlighted area

[Damian Harty]

Ø  I’m trying to make a 3D graph of y=1+x^3, highlighting the

      area under the function curve where x is between 1 and 2.

 

      Is this possible?

 

This is a pretty interesting question. I can reproduce the surface from the example but I think what you are interested in is effectively a bifurcated surface. I can imagine making “cliff sides” to the surface:

 

x=[-5 -4 -3 -2 -1 0 1 2           2.99    3 4       4.01       5];

y=1.+x.^3

z=[-2.01 -2 -1 0 1 2 2.01]

x=x(:)

y=y(:)

z=repmat(z,size(x))

x=repmat(x,[1,7])

y=repmat(y,[1,7]);

y(10:11,1)=0

surf(x,z,y)

 

 

But where I struggle is to add the vertical sides, like this:

 

 

..since this looks like a bifurcated (branched) surface and I don’t think surf handles that. Although maybe it just needs a bit more imagination and the same sort of non-linear spacing of data in the other directions, too?

 

Right, tea break’s over. Back on your heads.

 

Damian

 

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