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Reduce the equation to one of the standard forms, classify the surface, and sketch it.

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

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hyperboloid of two sheets

01:40

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 6

Cylinders and Quadric Surfaces

Vectors

Campbell University

Baylor University

University of Nottingham

Boston College

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

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Reduce the equation to one…

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All right. So you want to like the standard form of this education? So we just pulled the wide spread to the other side. So then this becomes success square Plus four G sq minus y squared request to minus 40 can do like this. Success square minus pi square last four G square is equal to minus. So this is x squared minus y squared. I was just gratified by one of our four, which is one decision. So one it's minus four. And this is a hyperbolic side doorstops And just like the following. So at the center of 000.

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