   Chapter 12.1, Problem 38E

Chapter
Section
Textbook Problem

# Describe in words the region of ℝ3 represented by the equation(s) or inequality.38. x2 + y2 + z2 > 2z

To determine

To describe: The representation of equation x2+y2+z2>2z in 3.

Explanation

Formula used:

The expression for a sphere with center C(h,k,l) and radius r is,

(xh)2+(yk)2+(zl)2=r2 (1)

Here, (h,k,l) is the center of a sphere and r is the radius of a sphere.

Calculation:

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

Consider a sphere with center C(h,k,l) and radius r.

The equation x2+y2+z2>2z can also be written as follows.

x2+y2+z22z>0x2+y2+z22z+(11)>0(x0)2+(y0)2+z22z+1>1(x0)2+(y0)2+(z1)2>1

Consider the inequality (x0)2+(y0)2+(z1)2>1 as (x0)2+(y0)2+(z1)2=1 for ease of analysis

### 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

#### Convert the expressions in Exercises 6584 to power form. 35x5x8+72x3

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Place the following set of n = 20 scores in a frequency distribution table.

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

#### In Exercises 49-62, find the indicated limit, if it exists. 54. limb3b+1b+3

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

#### Use sets toshow that 06=0.

Mathematical Excursions (MindTap Course List)

#### 28. Write the interval corresponding to .

Mathematical Applications for the Management, Life, and Social Sciences

#### A parameterization of the curve at the right is:

Study Guide for Stewart's Multivariable Calculus, 8th

#### True or False: is a convergent series.

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