Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = In(4x), y = 4, y = 6, x 0; about the y-axis %3! %3!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
icon
Concept explainers
Question
6.
2
- 50
X
- 100
-50
50
100
- 100
Step 2
We must re-write y = In(4x) as x =
1
Step 3
When the shaded region is rotated arqund the y-axis, a horizontal strip of vertical span Ay creates a disk.
The radius of this disk isr =
Transcribed Image Text:6. 2 - 50 X - 100 -50 50 100 - 100 Step 2 We must re-write y = In(4x) as x = 1 Step 3 When the shaded region is rotated arqund the y-axis, a horizontal strip of vertical span Ay creates a disk. The radius of this disk isr =
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified
line.
y = In(4x), y = 4, y = 6, x = 0; about the y-axis
Step 1
We will use horizontal strips. Such a strip has a vertical span of Ay. Sketch the region.
y
y
100
80
60
40
20
20
40
60
80
100
X
6.
8
y
y
100-
80
60
40
MacBook Pro
20
000
000
F1
F2
F3
F4
F5
F6
F7
@
&
%24
23
Transcribed Image Text:Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = In(4x), y = 4, y = 6, x = 0; about the y-axis Step 1 We will use horizontal strips. Such a strip has a vertical span of Ay. Sketch the region. y y 100 80 60 40 20 20 40 60 80 100 X 6. 8 y y 100- 80 60 40 MacBook Pro 20 000 000 F1 F2 F3 F4 F5 F6 F7 @ & %24 23
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Application of Integration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,