Lous on C, then )dS =r P(h(y,z), y, 2) /h3(y, z) + h?(y, z)+1 d. P(h(y, z), Y, z) Vh3(y,2) + h? (y, z)+ 1 d_ = dydz or dA = dzdy.

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

True or False?

Let C be a surface with equation x = h (y, z) , and R be its projection on
the yz-plane. If h has continuous partial derivatives on R, and P (x, y, z)
is continuous on C, then
cP(x, y, z)dS =R P(h(y, z), y, z) /h3(y,z) + h?(y, z) + 1 dA,
where dA =
dydz or dA = dzdy.
Transcribed Image Text:Let C be a surface with equation x = h (y, z) , and R be its projection on the yz-plane. If h has continuous partial derivatives on R, and P (x, y, z) is continuous on C, then cP(x, y, z)dS =R P(h(y, z), y, z) /h3(y,z) + h?(y, z) + 1 dA, where dA = dydz or dA = dzdy.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 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,