   Chapter 16.6, Problem 30E

Chapter
Section
Textbook Problem

Find parametric equations for the surface obtained by rotating the curve x = 1/y, y ⩾ 1, about the y-axis and use them to graph the surface.

To determine

To find: The parametric equations for the surface obtained by rotating the curve x=1y,y1 , about the y-axis and to graph the surface.

Explanation

Given data:

The surface is obtained by rotating the curve x=1y,y1 , about the y-axis.

Formula used:

Write the expression for parametric equations when the surface is obtained by rotating the curve x=f(y),ya about the y-axis.

x=f(y)cosθ,y=y,z=f(y)sinθ,ya,0θ2π (1)

Here,

θ is the angle of rotation about the y-axis.

Calculation of Parametric equations of the surface:

As the surface is obtained by rotating the curve x=1y,y1 , about the x-axis, substitute 1y for f(y) and apply the limits of y-parameter in equation (1) as follows

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

In Exercises 6372, evaluate the expression. 71. 21+32

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

Finding the Domain In Exercises 41-46, find the domain of the function. f(x)=1+3x

Calculus: Early Transcendental Functions (MindTap Course List)

True or False: div curl F = 0.

Study Guide for Stewart's Multivariable Calculus, 8th

0 1 −∞ does not exist

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