Problem

Use a computer with three-dimensional graphing so…

01:39

Problem 39 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.

$ -4x^2 - y^2 + z^2 = 1 $

Answer

hyperboloid of two sheets

Discussion

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Video Transcript

All right. We want to plot the graph of minus for it's just a and the flying experience. Mhm. Loss score. Yeah. Thanks. This return at lunch. Yeah. Uh, there is a problem. So, what we need to do is to change this year. Mhm. So this should be are you guys? Thank you. Mhm. Yeah. Mhm. That's right. Yeah. And a small square root. Okay. Right. Mhm. Yes. Yeah. Mhm. Okay. So this is how the ground looks like. But if you see this is basically yes one the top part of it because I took not spread it to protect the negative spirit. Let's stick with that. So it's kind of right. Eight files Dinos. I need Oh cool. That's just scraps glad. Right, spare. That's right. Mhm Yeah. Yeah. Yeah. Okay. Okay. Now I can see that this is downstairs. So this is how the excellent in the beginning fact we saw that it was in the top knowledge is in the Mhm No baby. Mhm. Sure. Yeah. Yeah. Yeah. Yeah. We've only been soon, but this is how it is. So the top act is for the square before accessing care as well. On the bottom part is for the negative. And you can see this is a hyperbolic side of acoustics. Okay. Yeah. Mhm. This is our concept.

Tattwamasi A.

Topics

Vectors

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 6

Cylinders and Quadric Surfaces

Problem