In Exercises 37-42, set up the iterated integral for evaluating ƒ ƒ(r, 0, z) r dz dr de over the given region D. 37. D is the right circular cylinder whose base is the circle r = 2 sin 0 in the xy-plane and whose top lies in the plane z = 4 — y. X Z z = 4-y r = 2 sin 0

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
Question

Please explain how you would find the integrals.

 

Solution for integral with theta says it would be integral from 0 to pi but I don't understand how or why that would be.

 

Shouldn't it be from 0 to 2pi?

In Exercises 37-42, set up the iterated integral for evaluating
f(r, 0, z) r dz dr de over the given region D.
37. D is the right circular cylinder whose base is the circle r = 2 sin 0
in the xy-plane and whose top lies in the plane z = 4 y.
X
Z
z = 4-y
y
r = 2 sin 0
Transcribed Image Text:In Exercises 37-42, set up the iterated integral for evaluating f(r, 0, z) r dz dr de over the given region D. 37. D is the right circular cylinder whose base is the circle r = 2 sin 0 in the xy-plane and whose top lies in the plane z = 4 y. X Z z = 4-y y r = 2 sin 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
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,