· (20) Compute the flux ofF = (3ry+x)i+ 2.ryj + 2z²kacross the surface S which is the boundary of the bounded solid whose top is the plane2a +3y +2z = 1 lying in the first octant r > 0, y > 0, z > 0, and whose sides consist ofthe coordinate plancs (x = 0, y = 0, z = 0). Use the Divergence Theorem, and sketchthe region in R and it's projection into IR?, and give the incqualitics describing boththese regions. If you take your time with this one, the integration is not too difficult.

(20) Compute the flux of F=3xy+xi+2xyj+2z2k across the surface S which is the boundary of the…

(20) Compute the flux of F = (3.ry + x)i+ 2:ryj+2z*k %3D across the surface S which is the boundary of the bounded solid whose top is the plane 2:r + 3y +2z = 1 lying in the first octant a > 0, y 2 0, z 2 0, and whose sides consist of the coordinate planes (r = 0, y = 0, z = 0). Use the Divergence Theorem, and sketch the region in R' and it's projection into R?, and give the incqualitics describing both these regions. If you take your time with this one, the integration is not too difficult.

(20) Compute the flux of F = (3.ry + x)i+ 2:ryj+2z*k %3D across the surface S which is the boundary of the bounded solid whose top is the plane 2:r + 3y +2z = 1 lying in the first octant a > 0, y 2 0, z 2 0, and whose sides consist of the coordinate planes (r = 0, y = 0, z = 0). Use the Divergence Theorem, and sketch the region in R' and it's projection into R?, and give the incqualitics describing both these regions. If you take your time with this one, the integration is not too difficult.

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

· (20) Compute the flux of
F = (3ry+x)i+ 2.ryj + 2z²k
across the surface S which is the boundary of the bounded solid whose top is the plane
2a +3y +2z = 1 lying in the first octant r > 0, y > 0, z > 0, and whose sides consist of
the coordinate plancs (x = 0, y = 0, z = 0). Use the Divergence Theorem, and sketch
the region in R and it's projection into IR?, and give the incqualitics describing both
these regions. If you take your time with this one, the integration is not too difficult.

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