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Problem

Describe and sketch the surface. $ z = 1 - y^2…

04:29

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Problem 4 Easy Difficulty

Describe and sketch the surface.

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


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01:29

WZ

Wen Zheng

Related Courses

Calculus 3

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 6

Cylinders and Quadric Surfaces

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Vectors

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Vectors Intro

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11:08

Vector Basics Overview

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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Watch More Solved Questions in Chapter 12

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Problem 16
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Problem 52
Problem 53

Video Transcript

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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Calculus: Early Transcendentals

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Video Thumbnail

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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.

Video Thumbnail

11:08

Vector Basics Overview

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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