Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Match the equation with its graph (labeled I-VIII). Give reasons for your choice.

$ x^2 + 4y^2 + 9z^2 = 1 $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Linda Hand

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

01:51

Wen Zheng

01:21

Carson Merrill

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 6

Cylinders and Quadric Surfaces

Vectors

Missouri State University

Campbell University

Oregon State 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.

0:00

Match the equation with it…

01:13

00:43

00:48

02:40

00:56

01:54

01:32

02:44

Okay. I have X squared, Y squared and Z squared with plus signs in between equal to one. So I know that this is a ellipse wide. Mm. All right. So what you need to do is rewrite it so that The four is 1/4 in the denominator and the nine is 1 9th in the denominator. All right. So now online X. Is the one coming out and this is why. Okay. Okay. So underneath the X is one square to one is one. So I go out to one underneath the Y squared is 1/4 and the square root of 1/4 is one half. So I go to one half on the Y. When half in -1 half. And then um underneath disease 1/9. So one third and one third on the sea. Okay. So sort of like a football or hoagie Hoagie bun. Right. And it's long on the X axis and short on the Y axis.

View More Answers From This Book

Find Another Textbook