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Describe and sketch the surface.

$ y = z^2 $

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On the $y z$ -plane, this is a parabola that opens in the positive $y$ direction.$\operatorname{In} 3 \mathrm{D},$ it is a parabolic cylinder that extends in directions parallel to the$x$ -axis.

01:32

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 6

Cylinders and Quadric Surfaces

Vectors

Johns Hopkins University

Oregon State University

Baylor University

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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Describe and sketch the su…

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Sketch a graph of the surf…

So we want to sketch Wife into the square so really in the Y G blend, This is a parabola. So he says, right, this is G. Then this is something like this. It opens to the positive side of why and and the X. Sander on the plain X access. This is just a human subject is so this is parabola rising. Mhm.

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