Homework Help is Here – Start Your Trial Now!
Math
Calculus
Select the integral(s) that can be used to find the surface area generated by revolving y = In z about the z axis on the interval 1

Select the integral(s) that can be used to find the surface area generated by revolving y = In z about the z axis on the interval 1

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question

Please answer the question seen in the picture below. select all that apply Thanks

Select the integral(s) that can be used to find the surface area generated by revolving y = In z about the z axis on the interval 1<zS ve. %3D Select all that apply. 27 z1+dz ip- zp- O 27 Inz /1+ O None of these. O 27 In z1+dz fip- 2 v[1+ dy
Transcribed Image Text:Select the integral(s) that can be used to find the surface area generated by revolving y = In z about the z axis on the interval 1<zS ve. %3D Select all that apply. 27 z1+dz ip- zp- O 27 Inz /1+ O None of these. O 27 In z1+dz fip- 2 v[1+ dy
Expert Solution
Step 1

Given:

curve is given as y=ln x5.

Axis of revolution is x-axis, and interval is 1≤x≤e.

Step 2

The area S of the surface of revolution for y = f(x) from x = a to x = b about the x-axis is

s=2π∫ab|f(x)|1+f'(x)2dx 

f(x)=ln x5

f'(x)=1x5d(x5)dx 

      =5x4x5

      =5x 

Here a=1 and b=e

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Inequality
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS