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Numerade Educator

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Problem 3 Easy Difficulty

Describe and sketch the surface.

$ x^2 + z^2 = 1 $

Answer

infinite circular cylinder

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Video Transcript

Hello there. Okay, So for this exercise, we need to sketch the surface that is given by X square. Plus y squared equals to one on R three. So basically, we know that this part of the equation corresponds to circle of rage is one on the XY plane. And that's exactly what we got here. If you, uh, center this plot on the XY plane, you can observe the circle now, did you? We are in our three. That means that we need to also consider dizzy variable. And we don't have here in the question the disease value. So that means that this is a constant value. So that translates into the geometrical, uh, sketch here that the circle repeats along the sea access infinitely. And we obtained this cylinder, this infinite cylinder.