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If a vector field F = (y + 4xz)i – (y² + x)j + (yz + x)k %3| is acting over a closed region bounded by x = and the plain (Q) having a normal unit vector Bit = y = z = 0, x = 2, y = 2 n = 2 i+j and pass through the point (2,2,1) then find No Question а) b) c) d) The value of S F.nds over z=0 is -4 -0.5 0.5 The value of S F.nds over x=0 is •2.9222 -1.73205 -1.26603 -10.3923 The value of fS F.nds over y=0 is 4.303401 1.288675 5.773503 1.154701 4 The value of [ F.nds over x=2 is 27.4641 6.866025 10 The value of S[ F.nds over Qis 10.66506 11.72724 81.56922 104.7246 90.14359 6. The value of fSS (v.F)dv is 15.49519 56.78461 12.70096

If a vector field F = (y + 4xz)i – (y² + x)j + (yz + x)k %3| is acting over a closed region bounded by x = and the plain (Q) having a normal unit vector Bit = y = z = 0, x = 2, y = 2 n = 2 i+j and pass through the point (2,2,1) then find No Question а) b) c) d) The value of S F.nds over z=0 is -4 -0.5 0.5 The value of S F.nds over x=0 is •2.9222 -1.73205 -1.26603 -10.3923 The value of fS F.nds over y=0 is 4.303401 1.288675 5.773503 1.154701 4 The value of [ F.nds over x=2 is 27.4641 6.866025 10 The value of S[ F.nds over Qis 10.66506 11.72724 81.56922 104.7246 90.14359 6. The value of fSS (v.F)dv is 15.49519 56.78461 12.70096

Advanced Engineering Mathematics
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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If a vector field F = (y + 4xz)i – (y² + x)j + (yz + x)k is acting over a closed region bounded by x = y = z = 0, x = 2, y = 2 and the plain (Q) having a normal-unit vector V3 i+÷j and pass through the point (2,2,1) n = 2 then find No Question a) b) c) d) 1 The value of S[ F.nds over z-0 is -4 -0.5 0.5 2 The value of F.nds over x=0 is -1.73205 -1.26603 -10.3923 -2.9222 The value of F.nds over y=0 is 4.303401 1.288675 5.773503 1.154701 The value of S F.nds over x=2 is 10 27.4641 6.866025 5 The value of S F.nds over Qis 10.66506 11.72724 81.56922 104.7846 90.14359 The value of ffS (v.F)dv is 56.78461 12.70096 15.49519
Transcribed Image Text:If a vector field F = (y + 4xz)i – (y² + x)j + (yz + x)k is acting over a closed region bounded by x = y = z = 0, x = 2, y = 2 and the plain (Q) having a normal-unit vector V3 i+÷j and pass through the point (2,2,1) n = 2 then find No Question a) b) c) d) 1 The value of S[ F.nds over z-0 is -4 -0.5 0.5 2 The value of F.nds over x=0 is -1.73205 -1.26603 -10.3923 -2.9222 The value of F.nds over y=0 is 4.303401 1.288675 5.773503 1.154701 The value of S F.nds over x=2 is 10 27.4641 6.866025 5 The value of S F.nds over Qis 10.66506 11.72724 81.56922 104.7846 90.14359 The value of ffS (v.F)dv is 56.78461 12.70096 15.49519
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