The volume of the solid obtained by rotating the region bounded by x = y²¹, x = 2y about the line y = 2 can be computed using the method of washers or disks via an integral b 2 X V = ₁ =[(² - 4 ) ²³ - (2-√x)²] 1.² 2- with limits of integration a = 0 and b = 4 dx v The volume of this solid can also be computed using cylindrical shells via an integral rß V = = ₁ 2n [(y) (2y - y²)] dy V with limits of integration α = 0 and ß : = 2
The volume of the solid obtained by rotating the region bounded by x = y²¹, x = 2y about the line y = 2 can be computed using the method of washers or disks via an integral b 2 X V = ₁ =[(² - 4 ) ²³ - (2-√x)²] 1.² 2- with limits of integration a = 0 and b = 4 dx v The volume of this solid can also be computed using cylindrical shells via an integral rß V = = ₁ 2n [(y) (2y - y²)] dy V with limits of integration α = 0 and ß : = 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
only HANDWRITTEN answer needed ( NOT TYPED)
![The volume of the solid obtained by rotating the region bounded by
x = y², x = 2y
about the line
y = 2
can be computed using the method of washers or disks via an integral
b
V =
- L₁ = [ (2² - 4 ) ²³ - (2-√x ) ²]
with limits of integration a = 0 and b = 4
The volume of this solid can also be computed using cylindrical shells via an integral
V =
= ₁² 2n[ (v) (2y-1²)] dy
α
with limits of integration α = 0 and ß:
=
dx v
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b070d29-61c8-49d8-92a5-4429b5559c9e%2Fd9b7b575-5fbc-4af1-a9bb-0fd703e3891e%2Fnmprv19_processed.png&w=3840&q=75)
Transcribed Image Text:The volume of the solid obtained by rotating the region bounded by
x = y², x = 2y
about the line
y = 2
can be computed using the method of washers or disks via an integral
b
V =
- L₁ = [ (2² - 4 ) ²³ - (2-√x ) ²]
with limits of integration a = 0 and b = 4
The volume of this solid can also be computed using cylindrical shells via an integral
V =
= ₁² 2n[ (v) (2y-1²)] dy
α
with limits of integration α = 0 and ß:
=
dx v
2
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
