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Problem 42 Easy Difficulty

Use a computer with three-dimensional graphing software to graph the surface. Experiment with viewpoints and with domains for the variables until you get a good view of the surface.

$ x^2 - 6x + 4y^2 - z = 0 $

Answer

elliptic paraboloid

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Video Transcript

So you want to photograph of E. Because the four success Access where -66 And then 6 6 last four. This is the ground that they want the blood. Let's throw the Red one. Okay so this is the ground that we're looking at. And you can see this is this is a cylinder. Mhm. And bandage. So this is an unfinished basement at each point to get this is what you get a circle. And so this is the season and then there's a card here. This is for the parabolic part which is the four Y squared. This is for them. So at every point you get a four widespread. So these these these black things are for the parabola and then the other things are for the circle. This is how the graphics. Yeah.