4. Let S is the surface z = 5- - y, 1s z in R. Let S be oriented with the normal vector pointing upward direction. (a) Let F(r, y, 2) = (y, z, 3). Use Stokes Theorem to evaluate Lv x F) - dš (b) Verify Stokes' theorem for part (a).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
4. Let S is the surface z = 5 - r - y, 1<: in R. Let S be oriented with the normal vector pointing
upward direction.
(a)
Let F(r, y, 2) = (y., z, 3). Use Stokes Theorem to evaluate
(b)
Verify Stokes' theorem for part (a).
Transcribed Image Text:4. Let S is the surface z = 5 - r - y, 1<: in R. Let S be oriented with the normal vector pointing upward direction. (a) Let F(r, y, 2) = (y., z, 3). Use Stokes Theorem to evaluate (b) Verify Stokes' theorem for part (a).
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