[F-dš where F = xỉ – y°j+(x+ y+z)k

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Q4
Evaluate (F•dš where F = xỉ – yj+(x+y+z)k and C is the boundary of the surface
z =1,0<x,y 31.
Q5
Evaluate the surface integral [[Curl F•ñdS for the surface and F given in Q4.
Compare the answer with the answer of Q4.
Hints: dS = dA = dxdy , n = k , find Curl F.ñ and then evaluate
SſCurl F»ñ dS = [[Curl F »k dA .
QEAD
Rev:03 ver 01
geh July 2017
Template A
4
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3
Transcribed Image Text:Q4 Evaluate (F•dš where F = xỉ – yj+(x+y+z)k and C is the boundary of the surface z =1,0<x,y 31. Q5 Evaluate the surface integral [[Curl F•ñdS for the surface and F given in Q4. Compare the answer with the answer of Q4. Hints: dS = dA = dxdy , n = k , find Curl F.ñ and then evaluate SſCurl F»ñ dS = [[Curl F »k dA . QEAD Rev:03 ver 01 geh July 2017 Template A 4 -> 3
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