   Chapter 11.6, Problem 17E

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. 4 x 2 − y 2 − z 2 = 1

To determine

To graph: The given quadric surface 4x2y2z2=1 and then verify it by using a computer algebra system or a graphing utility.

Explanation

Given:

4x2y2z2=1

Graph:

4x2y2z2=1

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,

4x2y2z2=1

Substitute z=0 in the above equation.

4x2y2=1x2(1/4)y21=1

Compare it with standard form of hyperbola, so the first trace is hyperbolic in nature.

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

4x2y2z2=1

Substitute x=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

#### Calculate y'. 29. y=lnsinx12sin2x

Single Variable Calculus: Early Transcendentals, Volume I

#### Expand each expression in Exercises 122. (x32x2+4)(3x2x+2)

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 3540, rationalize the numerator of each expression. 38. x1x

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

#### Sometimes, Always, or Never: The antiderivative of an elementary function is elementary.

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

#### The unit vector in the direction of is:

Study Guide for Stewart's Multivariable Calculus, 8th 