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Describe and sketch the surface.

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

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01:29

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 6

Cylinders and Quadric Surfaces

Vectors

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

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.

01:33

Sketch the surfacesCYL…

00:59

Sketch a graph of the surf…

01:47

Describe and sketch the su…

01:17

Hello there. Okay, So for this exercise, we got this equation that represents in the plane ellipse. But we need to plot the surface associated to this equation in our three. So we know that this part corresponds to the Arabs equation and Elliot's equation that you can observe here that is on the XY plane. However, we need to put a surface. Did you? We need to put the surface. That means that we need to consider also the Z value. This value in this case is going to be constant. So we just need to repeat these steps along the Z axis infinitely. So we obtain this, um, cylindrical ellipse oId ellipse. Uh, that repeats up to infinity.

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