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Question: Solid Surface under a curve.

Hi,

I want to draw a solid that lies under z=4+x^2-y^2 and the base is bounded by -1<=x<=1 and 0<=y<=2.

I tried the following, but does not look nice. The plane x=1 is outside of the surface boundary. I also used the range as -1<=x<=1.01, otherwise I can't see the plane.

Thanks for helping.

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