Evaluate ff, F dS, where F = (xz2 + y°2) i+ (cos(2)+ sin(2) ) j+ (xz + y?) k 3 and S is the top half of the sphere 22 + y? + 2? = 1. Note that S is not a closed surface. Therefore you must first find a surface S such that you can (a) Evaluate the flux of F across S1. (b) Use the divergence theorem on SUSI.
Evaluate ff, F dS, where F = (xz2 + y°2) i+ (cos(2)+ sin(2) ) j+ (xz + y?) k 3 and S is the top half of the sphere 22 + y? + 2? = 1. Note that S is not a closed surface. Therefore you must first find a surface S such that you can (a) Evaluate the flux of F across S1. (b) Use the divergence theorem on SUSI.
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
Hello,
I need to determine the flux across this surface which I have found to be for z is greater than equal to zero with the domain and range traversing between -1 and 1. My divergence for F is equal to x^2 + y^2 + z^2 But i do not know what to do. My solution came out to be 4 which i dont believe is the answer.
Can you solve a and b ( i believe they are different methods to solve)?
Thank you
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Knowledge Booster
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 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,