   Chapter 11.6, Problem 21E

Chapter
Section
Textbook Problem

# Sketching a Quadric SurfaceIn Exercises 15–26, classify and sketch the quadric surface. Use a computer algebra system or a graphing utility to confirm your sketch. x 2 − y 2 + z = 0

To determine

To graph: The given quadric surface x2y2+z=0 and then verify it by using a computer algebra system or a graphing utility.

Explanation

Given:

The given quadric surface is x2y2+z=0.

Graph:

x2y2+z=0

To find the sketch of surface, first make the traces of the surface with respect to three planes of the coordinate axis.

The first trace is of xy-plane (z=0) is,

x2y2+z=0

Substitute z=0 in the above equation.

x2y2+0=0y2=x2y=±x

This equation represents straight line.

The second trace is of yz-plane (x=0) is,

x2y2+z=0

Substitute x=0 in the above equation.

y2+z=0z=y2

Compare it with standard form of parabola, so the second trace is parabolic in nature.

The third trace is of xz-plane (y=0) is,

x2y2+z=0

Substitute y=0 in the above equation

### 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 8596 radical form. 94(1x)7/3

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 29-34, rationalize the denominator of each expression. 31. 1xy

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

#### Evaluate the integral. 14(4+6uu)du

Single Variable Calculus: Early Transcendentals 