   Chapter 12.1, Problem 30E

Chapter
Section
Textbook Problem

# Describe in words the region of ℝ3 represented by the equation(s) or inequality.30. y2 = 4

To determine

To describe: The representation of equation y2=4 in 3 .

Explanation

3 is the three dimensional coordinate system which contains x, y, and z-coordinates.

The equation y2=4 is also written as follows.

y=4=±2

From the equation y=±2 , the equation y2=4 represents two vertical planes. One vertical plane is y=2 and the other vertical plane is y=2 .

The equation y2=4 in 3 represents the set {(x,y,z)|y=±2} , which is the set of all points in 3 whose y-coordinate is 2 or 2 and x, z-coordinates are any values

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Evaluate the integral. 0f(x)dxwheref(x)={sinxif0x/2cosxif/2x

Single Variable Calculus: Early Transcendentals, Volume I

#### In Exercises 107-120, factor each expression completely. 112. x2 2x 15

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Prove the associative law for conjunction, (pq)rp(qr).

Finite Mathematics for the Managerial, Life, and Social Sciences

#### Sometimes, Always, or Never: (ax) = ax.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 